neural-processes.ipynb

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      "name": "neural-processes.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "accelerator": "GPU"
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xh9wcca4L7Tl"
      },
      "source": [
        "# Neural Processes\n",
        "\n",
        "Implementation of Neural Processes paper for Projects in Machine Learning and Artificial Intelligence course at TU Berlin"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zK7BQHStNrBQ"
      },
      "source": [
        "[![Open In Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/rodrigobdz/neural-processes/blob/main/neural-processes.ipynb)"
      ]
    },
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              "status_text": ""
            }
          },
          "base_uri": "https://localhost:8080/",
          "height": 378
        },
        "id": "KzBsSrUcoQFr",
        "outputId": "2d6c76f8-3723-4729-8f78-7859eb0e391b"
      },
      "source": [
        "# Upload all .py files in neural_processes folder\n",
        "# i.e. data_generator.py, decoder.py, encoder.py, mlp.py, model.py, and utils.py\n",
        "from google.colab import files\n",
        "uploaded = files.upload()"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/html": [
              "\n",
              "     <input type=\"file\" id=\"files-c0e607fc-5935-43fe-a46b-5dad31d6d839\" name=\"files[]\" multiple disabled\n",
              "        style=\"border:none\" />\n",
              "     <output id=\"result-c0e607fc-5935-43fe-a46b-5dad31d6d839\">\n",
              "      Upload widget is only available when the cell has been executed in the\n",
              "      current browser session. Please rerun this cell to enable.\n",
              "      </output>\n",
              "      <script src=\"/nbextensions/google.colab/files.js\"></script> "
            ],
            "text/plain": [
              "<IPython.core.display.HTML object>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Saving data_generator.py to data_generator.py\n",
            "Saving decoder.py to decoder.py\n",
            "Saving encoder.py to encoder.py\n",
            "Saving img_model.py to img_model.py\n",
            "Saving __init__.py to __init__.py\n",
            "Saving mlp.py to mlp.py\n",
            "Saving mnist.py to mnist.py\n",
            "Saving model.py to model.py\n",
            "Saving plot.py to plot.py\n",
            "Saving utils.py to utils.py\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "WguvE1AIoQF5"
      },
      "source": [
        "# Place uploaded files in neural_processes folder to mimic folder structure in repo\n",
        "!rm -rf sample_data/\n",
        "!mkdir -p neural_processes\n",
        "!mv *.py neural_processes/"
      ],
      "execution_count": 2,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "MEjhj5EJoQF5"
      },
      "source": [
        "import neural_processes"
      ],
      "execution_count": 3,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "d8bl_dSnAPpJ"
      },
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "import torch\n",
        "from torch import distributions\n",
        "from torch import nn \n",
        "from torch import optim\n",
        "\n",
        "import torchvision\n",
        "from torchvision import datasets"
      ],
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "zICaiMlRUsWH",
        "outputId": "f5eb4cc7-208d-4290-b947-056a343cba66"
      },
      "source": [
        "dev = torch.device('cuda' if torch.cuda.is_available() else 'cpu')\n",
        "dev"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "device(type='cuda')"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "g7T37vkeAKW2"
      },
      "source": [
        "TRAINING_ITERATIONS = 100 #@param {type:\"number\"}\n",
        "MAX_NUM_CONTEXT = 50 #@param {type:\"number\"}\n",
        "PLOT_AFTER = 100 #@param {type:\"number\"}\n",
        "HIDDEN_SIZE = 128 #@param {type:\"number\"}\n",
        "\n",
        "random_kernel_parameters=True #@param {type:\"boolean\"}\n",
        "\n",
        "batch_size = 16\n",
        "max_num_context = MAX_NUM_CONTEXT\n",
        "x_size = 1\n",
        "y_size = 1\n",
        "length_scale = 0.6\n",
        "sigma_scale = 1.0\n",
        "num_iter = TRAINING_ITERATIONS\n",
        "save_iter = PLOT_AFTER"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OsBUeZpqnKrF"
      },
      "source": [
        "### Training Data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "cfWpsUsOFgwx"
      },
      "source": [
        "gp = neural_processes.data_generator.GPCurves(batch_size, max_num_context, x_size, y_size, length_scale, sigma_scale, dev='cuda')\n",
        "train_list = [gp.generate_curves() for _ in range(num_iter)]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ddNTD_2SLcq0"
      },
      "source": [
        "### Output of 1D Gaussian Process data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 545
        },
        "id": "Zu9Lsfp2LgY1",
        "outputId": "ab415a17-20c4-4abb-d746-9133e0fb9c51"
      },
      "source": [
        "for batch in train_list[:2]:\n",
        "  _, _, xt, yt = batch \n",
        "  for x, y in zip(xt, yt):\n",
        "    plt.plot(y.cpu(), c='b', alpha=.2)\n",
        "    plt.title(label='GP data')\n",
        "    \n",
        "  plt.show()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZncQjyUznG3p"
      },
      "source": [
        "### Test Data"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "6eaYnBjxD9Hh"
      },
      "source": [
        "batch_size = 1\n",
        "gptest = neural_processes.data_generator.GPCurves(batch_size, max_num_context, testing=True, dev='cuda')\n",
        "test_list = [gptest.generate_curves() for _ in range(100)]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LfbGtTiBP8XH"
      },
      "source": [
        "in_features = 1 \n",
        "h_size = HIDDEN_SIZE\n",
        "encoder_out = [128, 256, 512, 1024] # [h_size]*4\n",
        "decoder_out = [512, 256] + [2] # [128]*2 + [2] "
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tXgtJbVxGR9D",
        "outputId": "7ee64c26-0d93-4611-b7eb-8c6db513eb87"
      },
      "source": [
        "np = neural_processes.model.NeuralProcess(in_features, encoder_out, decoder_out, h_size)\n",
        "np.to(dev)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "NeuralProcess(\n",
              "  (_encoder): Encoder(\n",
              "    (_mlp): MLP(\n",
              "      (linears): ModuleList(\n",
              "        (0): Linear(in_features=2, out_features=128, bias=True)\n",
              "        (1): ReLU()\n",
              "        (2): Linear(in_features=128, out_features=256, bias=True)\n",
              "        (3): ReLU()\n",
              "        (4): Linear(in_features=256, out_features=512, bias=True)\n",
              "        (5): ReLU()\n",
              "        (6): Linear(in_features=512, out_features=1024, bias=True)\n",
              "      )\n",
              "    )\n",
              "    (_map): Sequential(\n",
              "      (0): Linear(in_features=1024, out_features=128, bias=True)\n",
              "      (1): ReLU()\n",
              "    )\n",
              "    (_mu): Linear(in_features=128, out_features=128, bias=True)\n",
              "    (_log_sigma): Linear(in_features=128, out_features=128, bias=True)\n",
              "  )\n",
              "  (_decoder): Decoder(\n",
              "    (_mlp): MLP(\n",
              "      (linears): ModuleList(\n",
              "        (0): Linear(in_features=129, out_features=512, bias=True)\n",
              "        (1): ReLU()\n",
              "        (2): Linear(in_features=512, out_features=256, bias=True)\n",
              "        (3): ReLU()\n",
              "        (4): Linear(in_features=256, out_features=2, bias=True)\n",
              "      )\n",
              "    )\n",
              "  )\n",
              ")"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xypvpTCGvpRY"
      },
      "source": [
        "opt = optim.Adam(np.parameters(), lr=1e-4, eps=1e-07)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vrR3CeaCKg0-"
      },
      "source": [
        "### Output of predictive distribution without training"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "Om-fq-rDKfvN",
        "outputId": "744d8d2b-a010-4ef3-e305-b1e963450e4b"
      },
      "source": [
        "for i in range(50):\n",
        "  xc, yc, xt, yt = train_list[i]\n",
        "  z = torch.rand((16, h_size)).to(dev)\n",
        "  z = z[:, None, :].expand(-1, xt.shape[1], -1)\n",
        "  mu, sig, distr = np._decoder(xt, z)\n",
        "  \n",
        "  plt.plot(xt.cpu()[0], mu.detach().cpu()[0], \n",
        "             c='b', alpha=0.2)\n",
        "  plt.xlim(-2, 2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "hAa98zHE8olQ"
      },
      "source": [
        "# Xavier_Uniform weight init\n",
        "def init_weights(m):\n",
        "    if type(m) == nn.Linear:\n",
        "        torch.nn.init.xavier_uniform_(m.weight)\n",
        "        m.bias.data.fill_(0.01)"
      ],
      "execution_count": 6,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0X1ZqgCcIFLN"
      },
      "source": [
        "np.apply(init_weights)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "47ueTRrVL1_m"
      },
      "source": [
        "# Training"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 293
        },
        "id": "ftyiW4NRZcTF",
        "outputId": "8deefde7-b5d8-4a75-ed92-0c61fd29f8bc"
      },
      "source": [
        "mu, sigma, _ = np._fit(num_iter, save_iter, train_list, test_list, opt)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Iteration: 0, loss: 1.1646907329559326\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BE5vvJW2QNDK"
      },
      "source": [
        "### Save Neural Process model to Google Drive\n",
        "Uncomment the code in the following cell to enable this."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_Q-fwbWxFurF"
      },
      "source": [
        "# Mount drive\n",
        "# Source: https://colab.research.google.com/notebooks/io.ipynb#scrollTo=XDg9OBaYqRMd\n",
        "# from google.colab import drive\n",
        "# drive.mount('/content/gdrive')\n",
        "\n",
        "# Save model\n",
        "# Source: https://pytorch.org/tutorials/beginner/saving_loading_models.html\n",
        "# !mkdir -p /content/gdrive/MyDrive/neural-processes-model\n",
        "# torch.save(np, '/content/gdrive/MyDrive/neural-processes-model.pt')"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Zk0gp3n97bJ5"
      },
      "source": [
        "# Hotfix for missing HTTP headers in pytorch's HTTP request for MNIST dataset download\n",
        "# Source:\n",
        "# https://github.com/pytorch/vision/issues/1938#issuecomment-594623431\n",
        "from six.moves import urllib\n",
        "opener = urllib.request.build_opener()\n",
        "opener.addheaders = [('User-agent', 'Mozilla/5.0')]\n",
        "urllib.request.install_opener(opener)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "FesjOoROK44C"
      },
      "source": [
        "### Output of predictive distribution after training given random latent Z (not related to stochastic process)\n"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 281
        },
        "id": "wBJzR-AnK8oV",
        "outputId": "0341f21f-afca-49c6-95d6-de8343416d9d"
      },
      "source": [
        "for i in range(len(test_list)):\n",
        "  xc, yc, xt, yt = test_list[i]\n",
        "  z = torch.rand((1, h_size)).to(dev)\n",
        "  z = z[:, None, :].expand(-1, xt.shape[1], -1)\n",
        "  mu, sig, distr = np._decoder(xt, z)\n",
        "  \n",
        "  plt.plot(xt.cpu()[0], mu.detach().cpu()[0], \n",
        "             c='b', alpha=0.2)\n",
        "  plt.title(label='Random Predictive Output ')\n",
        "  plt.xlim(-2, 2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ByQojNmhLC9U"
      },
      "source": [
        "### Output of predictive distribution after training given sampled latent Z"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 281
        },
        "id": "a1Dt7CNLLFXR",
        "outputId": "e1306404-e281-435c-f609-74807564e89f"
      },
      "source": [
        "for i in range(len(test_list)):\n",
        "  xc, yc, xt, yt = test_list[i]\n",
        "  # z = torch.rand((1, h_size))\n",
        "  # z = z[:, None, :].expand(-1, xt.shape[1], -1)\n",
        "  (mu, sig, distr), q = np(xc, yc, xt)\n",
        "  \n",
        "  plt.plot(xt.cpu()[0], mu.detach().cpu()[0], \n",
        "             c='b', alpha=0.2)\n",
        "  plt.title(label='Predictive Output')\n",
        "  plt.xlim(-2, 2)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PRINU-6FK1cQ"
      },
      "source": [
        "# Neural Processes for MNIST"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eQktuXGt1HZM"
      },
      "source": [
        "# ToTensor() maps to range [0, 1]\n",
        "train_mnist = datasets.MNIST('./data', download=True, transform=torchvision.transforms.ToTensor()) \n",
        "test_mnist = datasets.MNIST('./data', train=False, download=True, transform=torchvision.transforms.ToTensor())"
      ],
      "execution_count": 7,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yk4xqUfNPwVa"
      },
      "source": [
        "## Parameters"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZSK2mhy97niG"
      },
      "source": [
        "if dev.type == 'cuda':\n",
        "  pin_memory = True\n",
        "else:\n",
        "  pin_memory = False\n",
        "\n",
        "params = {'batch_size': 16,\n",
        "          'shuffle': True,\n",
        "          'num_workers': 0,\n",
        "          'pin_memory': pin_memory}\n",
        "          \n",
        "train_generator = torch.utils.data.DataLoader(train_mnist, **params)"
      ],
      "execution_count": 8,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "gbyVDK927bJ6"
      },
      "source": [
        "params = {'batch_size': 1,\n",
        "          'shuffle': False,\n",
        "          'num_workers': 0,\n",
        "          'pin_memory': pin_memory}\n",
        "          \n",
        "test_generator = torch.utils.data.DataLoader(test_mnist, **params)"
      ],
      "execution_count": 9,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GjrSZnEF69g7"
      },
      "source": [
        "in_features = 2 \n",
        "h_size = 256\n",
        "encoder_out = [128] + [h_size]*3 # [128, 256, 512, 1024] \n",
        "decoder_out = [h_size]*2 + [2] # [512, 256] + [2] "
      ],
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yxVoWK5IPz4I"
      },
      "source": [
        "## Create model"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "PzzxAGSqA_Co",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "3d761438-1e2b-4704-827c-df1e37c69dc7"
      },
      "source": [
        "np = neural_processes.img_model.ImgNeuralProcess(in_features, encoder_out, decoder_out, h_size)\n",
        "\n",
        "np.apply(init_weights)\n",
        "\n",
        "np.to(dev)"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "ImgNeuralProcess(\n",
              "  (_np): NeuralProcess(\n",
              "    (_encoder): Encoder(\n",
              "      (_mlp): MLP(\n",
              "        (linears): ModuleList(\n",
              "          (0): Linear(in_features=3, out_features=128, bias=True)\n",
              "          (1): ReLU()\n",
              "          (2): Linear(in_features=128, out_features=256, bias=True)\n",
              "          (3): ReLU()\n",
              "          (4): Linear(in_features=256, out_features=256, bias=True)\n",
              "          (5): ReLU()\n",
              "          (6): Linear(in_features=256, out_features=256, bias=True)\n",
              "        )\n",
              "      )\n",
              "      (_map): Sequential(\n",
              "        (0): Linear(in_features=256, out_features=256, bias=True)\n",
              "        (1): ReLU()\n",
              "      )\n",
              "      (_mu): Linear(in_features=256, out_features=256, bias=True)\n",
              "      (_log_sigma): Linear(in_features=256, out_features=256, bias=True)\n",
              "    )\n",
              "    (_decoder): Decoder(\n",
              "      (_mlp): MLP(\n",
              "        (linears): ModuleList(\n",
              "          (0): Linear(in_features=258, out_features=256, bias=True)\n",
              "          (1): ReLU()\n",
              "          (2): Linear(in_features=256, out_features=256, bias=True)\n",
              "          (3): ReLU()\n",
              "          (4): Linear(in_features=256, out_features=2, bias=True)\n",
              "        )\n",
              "      )\n",
              "    )\n",
              "  )\n",
              ")"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 11
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ibSf97aBw7U-"
      },
      "source": [
        "# Define optimizer\n",
        "opt = optim.Adam(np.parameters(), lr=5e-5, eps=1e-07)"
      ],
      "execution_count": 12,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zkgUPseuPpFa"
      },
      "source": [
        "## Fit NP model to MNIST dataset"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2vKx2UzyH1Ww",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "outputId": "07f1aaf9-551e-4a1b-c923-c39d817b6556"
      },
      "source": [
        "epochs = 200\n",
        "save_epoch = 5\n",
        "mu, sigma, loss = np._fit(epochs, \n",
        "                    save_epoch, \n",
        "                    train_generator, \n",
        "                    test_generator,\n",
        "                    opt)"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Epoch: 0, Iteration: 0, loss: 0.8636564612388611\n",
            "Epoch: 0, Iteration: 1000, loss: 0.3096901774406433\n",
            "Epoch: 0, Iteration: 2000, loss: 0.0657578557729721\n",
            "Epoch: 0, Iteration: 3000, loss: -0.05776766315102577\n",
            "Iteration: 3749, loss: -0.12754970788955688\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 1, Iteration: 0, loss: -0.19342510402202606\n",
            "Epoch: 1, Iteration: 1000, loss: -0.23818063735961914\n",
            "Epoch: 1, Iteration: 2000, loss: -0.303964763879776\n",
            "Epoch: 1, Iteration: 3000, loss: -0.3849209249019623\n",
            "Epoch: 2, Iteration: 0, loss: -0.4791356027126312\n",
            "Epoch: 2, Iteration: 1000, loss: -0.45500296354293823\n",
            "Epoch: 2, Iteration: 2000, loss: -0.37702059745788574\n",
            "Epoch: 2, Iteration: 3000, loss: -0.3441959619522095\n",
            "Epoch: 3, Iteration: 0, loss: -0.4498497545719147\n",
            "Epoch: 3, Iteration: 1000, loss: -0.4268112778663635\n",
            "Epoch: 3, Iteration: 2000, loss: -0.5200394988059998\n",
            "Epoch: 3, Iteration: 3000, loss: -0.36424559354782104\n",
            "Epoch: 4, Iteration: 0, loss: -0.44149938225746155\n",
            "Epoch: 4, Iteration: 1000, loss: -0.6234628558158875\n",
            "Epoch: 4, Iteration: 2000, loss: -0.5376984477043152\n",
            "Epoch: 4, Iteration: 3000, loss: -0.40742480754852295\n",
            "Epoch: 5, Iteration: 0, loss: -0.4944908916950226\n",
            "Epoch: 5, Iteration: 1000, loss: -0.5409873723983765\n",
            "Epoch: 5, Iteration: 2000, loss: -0.4726777672767639\n",
            "Epoch: 5, Iteration: 3000, loss: -0.48860880732536316\n",
            "Iteration: 3749, loss: -0.510886549949646\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 6, Iteration: 0, loss: -0.4526268541812897\n",
            "Epoch: 6, Iteration: 1000, loss: -0.47616687417030334\n",
            "Epoch: 6, Iteration: 2000, loss: -0.3081413507461548\n",
            "Epoch: 6, Iteration: 3000, loss: -0.5895240306854248\n",
            "Epoch: 7, Iteration: 0, loss: -0.5075470209121704\n",
            "Epoch: 7, Iteration: 1000, loss: -0.4640752971172333\n",
            "Epoch: 7, Iteration: 2000, loss: -0.42861324548721313\n",
            "Epoch: 7, Iteration: 3000, loss: -0.5293907523155212\n",
            "Epoch: 8, Iteration: 0, loss: -0.5408796668052673\n",
            "Epoch: 8, Iteration: 1000, loss: -0.5405389666557312\n",
            "Epoch: 8, Iteration: 2000, loss: -0.5395900011062622\n",
            "Epoch: 8, Iteration: 3000, loss: -0.4809972047805786\n",
            "Epoch: 9, Iteration: 0, loss: -0.5779848694801331\n",
            "Epoch: 9, Iteration: 1000, loss: -0.5516929626464844\n",
            "Epoch: 9, Iteration: 2000, loss: -0.5807421207427979\n",
            "Epoch: 9, Iteration: 3000, loss: -0.553482174873352\n",
            "Epoch: 10, Iteration: 0, loss: -0.5895606279373169\n",
            "Epoch: 10, Iteration: 1000, loss: -0.5875925421714783\n",
            "Epoch: 10, Iteration: 2000, loss: -0.6272856593132019\n",
            "Epoch: 10, Iteration: 3000, loss: -0.5156950950622559\n",
            "Iteration: 3749, loss: -0.6371837258338928\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 11, Iteration: 0, loss: -0.595389723777771\n",
            "Epoch: 11, Iteration: 1000, loss: -0.6565114259719849\n",
            "Epoch: 11, Iteration: 2000, loss: -0.5900341868400574\n",
            "Epoch: 11, Iteration: 3000, loss: -0.6673637628555298\n",
            "Epoch: 12, Iteration: 0, loss: -0.6772009134292603\n",
            "Epoch: 12, Iteration: 1000, loss: -0.4159260094165802\n",
            "Epoch: 12, Iteration: 2000, loss: -0.5336006283760071\n",
            "Epoch: 12, Iteration: 3000, loss: -0.6113320589065552\n",
            "Epoch: 13, Iteration: 0, loss: -0.5708184838294983\n",
            "Epoch: 13, Iteration: 1000, loss: -0.6679298877716064\n",
            "Epoch: 13, Iteration: 2000, loss: -0.6518793702125549\n",
            "Epoch: 13, Iteration: 3000, loss: -0.5819156169891357\n",
            "Epoch: 14, Iteration: 0, loss: -0.6350910663604736\n",
            "Epoch: 14, Iteration: 1000, loss: -0.6544061303138733\n",
            "Epoch: 14, Iteration: 2000, loss: -0.6405695080757141\n",
            "Epoch: 14, Iteration: 3000, loss: -0.6409695148468018\n",
            "Epoch: 15, Iteration: 0, loss: -0.58684241771698\n",
            "Epoch: 15, Iteration: 1000, loss: -0.6522582173347473\n",
            "Epoch: 15, Iteration: 2000, loss: -0.6580706834793091\n",
            "Epoch: 15, Iteration: 3000, loss: -0.5710468292236328\n",
            "Iteration: 3749, loss: -0.5988690257072449\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 16, Iteration: 0, loss: -0.7054936289787292\n",
            "Epoch: 16, Iteration: 1000, loss: -0.659780740737915\n",
            "Epoch: 16, Iteration: 2000, loss: -0.7238509058952332\n",
            "Epoch: 16, Iteration: 3000, loss: -0.5690696239471436\n",
            "Epoch: 17, Iteration: 0, loss: -0.5518056750297546\n",
            "Epoch: 17, Iteration: 1000, loss: -0.5676283240318298\n",
            "Epoch: 17, Iteration: 2000, loss: -0.6730996966362\n",
            "Epoch: 17, Iteration: 3000, loss: -0.5538308620452881\n",
            "Epoch: 18, Iteration: 0, loss: -0.5558186173439026\n",
            "Epoch: 18, Iteration: 1000, loss: -0.661695659160614\n",
            "Epoch: 18, Iteration: 2000, loss: -0.5626728534698486\n",
            "Epoch: 18, Iteration: 3000, loss: -0.5590140223503113\n",
            "Epoch: 19, Iteration: 0, loss: -0.6729932427406311\n",
            "Epoch: 19, Iteration: 1000, loss: -0.6240611672401428\n",
            "Epoch: 19, Iteration: 2000, loss: -0.6651583313941956\n",
            "Epoch: 19, Iteration: 3000, loss: -0.6748847961425781\n",
            "Epoch: 20, Iteration: 0, loss: -0.6442667841911316\n",
            "Epoch: 20, Iteration: 1000, loss: -0.6158906817436218\n",
            "Epoch: 20, Iteration: 2000, loss: -0.681603193283081\n",
            "Epoch: 20, Iteration: 3000, loss: -0.7548856735229492\n",
            "Iteration: 3749, loss: -0.653185248374939\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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1yZTc6wmiuuusWbPCtjt37sxa99DQUBiPblscXdcA6fHuqXr0woULw/j9999fN/bpT386bLtq1aowHtXRIe57s28VnaNZ175ozy5SCCW7SCGU7CKFULKLFELJLlIIJbtIIZTsIoUYzZTNhwN3Aj3Upmhe7O43mdkU4D7gCGrTNp/l7r+PluXuTZ12uZmiKX5feeWVsO3kyZOz1p2qu+bUfFN19NR4+BtvvDGMf/e7360bO/PMM8O2qXu79/T0hPFNmzbVjaWuP0ht09xrQlp5H4m9RrNnHwQudfdjgOOBBWZ2DHAF8KS7Hw08Wf0sIh0qmezu3u/uz1ePtwErgcOA04E7qpfdAZzRrE6KSL539ZndzI4APgb8HOhx9/4qtJHaYb6IdKhRXxtvZhOBB4BL3P2N4Z9J3N3NbMQPIWbWC/TmdlRE8oxqz25mB1JL9Lvd/cfV05vMbHoVnw5sHqmtuy929znuPmcsOiwijUkmu9V24bcDK939W8NCDwPnVo/PBeJbhYpIW43mMP4vgC8CL5nZsuq5K4FvAPeb2fnAWuCs5nRxbOSWQqIS1MDAQNg2d/rfVN+iIbC5QzFTJapnnnkmjK9evbpuLFVai0pno4lHw3ebXTrLKa01a3htMtnd/Vmg3m9+UkNrFZGW0xV0IoVQsosUQskuUgglu0ghlOwihVCyixSipVM2d3V1eerWxZFm9jVV24yGgh566KFh2xkzZoTxqVOnhvFoumiACRMmNNw21fdUPFWPjmrhqeGxKTnTLufWsjt1iOvg4KCmbBYpnZJdpBBKdpFCKNlFCqFkFymEkl2kEEp2kUK0fMrmqDaaqm1G47Zz65apumtUN031e+nSpWF83rx5YbyZrrvuujD+iU98Ioyn+t7f3x/Gmykai5+aBrvZ159E76ecW6pHbbVnFymEkl2kEEp2kUIo2UUKoWQXKYSSXaQQSnaRQrS0zu7uWWOMc+ROB51TZ589e3YYj7YJpGvCkWZPg52qo69bt65ubNq0aWHbrVu3hvHUdo/iqbap7dbM92pKo9cAaM8uUgglu0ghlOwihVCyixRCyS5SCCW7SCGU7CKFSNbZzexw4E6gB3BgsbvfZGaLgAuBvZNsX+nuP83pTM5c4s2uJ0e17lSdfNWqVWG8u7s7jKfutR/VfJcsWRK27e3tDeOpe96//PLLYfw3v/lN3dj27dvDtrljzqN4s+vkrZyPYbRGc1HNIHCpuz9vZpOA58zs8Sp2o7v/S/O6JyJjJZns7t4P9FePt5nZSuCwZndMRMbWuzqWMbMjgI8BP6+eutjMXjSzJWY2uU6bXjPrM7O+Tjy0ESnFqJPdzCYCDwCXuPsbwC3AUcBx1Pb8N4zUzt0Xu/scd5/T7M/VIlLfqJLdzA6kluh3u/uPAdx9k7sPufse4HvA3OZ1U0RyJZPdarvj24GV7v6tYc9PH/ayM4HlY989ERkrySmbzewE4BngJWBvbexKYD61Q3gH1gAXVSfzomV5dHvfVDkk5zN/qm3OVNKpqYOj3xngkEMOyYpPnDixbuzggw8O20alMYing4b0MNQdO3bUjQ0MDIRtm2l//kgZvZejKZtHczb+WWCkxlk1dRFpLV1BJ1IIJbtIIZTsIoVQsosUQskuUgglu0ghknX2MV2ZmUf17FTtMxoCm6rRp4ZLptpH607V0VPGjx8fxlN1/EhqGGmqjp5bC08N/43kDHnOtb/W4aM6u/bsIoVQsosUQskuUgglu0ghlOwihVCyixRCyS5SiFbX2V8D1g57ahrwu5Z14N3p1L51ar9AfWvUWPZtpru/f6RAS5P9HSuv3YRyTts6EOjUvnVqv0B9a1Sr+qbDeJFCKNlFCtHuZF/c5vVHOrVvndovUN8a1ZK+tfUzu4i0Trv37CLSIkp2kUK0JdnN7BQzW2VmvzazK9rRh3rMbI2ZvWRmy8ysr819WWJmm81s+bDnppjZ42b2q+r7iHPstalvi8xsQ7XtlpnZqW3q2+Fm9pSZ/dLMVpjZP1TPt3XbBf1qyXZr+Wd2MxsHvAL8NbAe+AUw391/2dKO1GFma4A57t72CzDM7C+B7cCd7v6n1XPfBF53929U/ygnu/tXO6Rvi4Dt7Z7Gu5qtaPrwacaBM4Av0cZtF/TrLFqw3dqxZ58L/NrdV7v7AHAvcHob+tHx3P1p4PV9nj4duKN6fAe1N0vL1elbR3D3fnd/vnq8Ddg7zXhbt13Qr5ZoR7IfBqwb9vN6Omu+dwceM7PnzKy33Z0ZQc+wabY2Aj3t7MwIktN4t9I+04x3zLZrZPrzXDpB904nuPufAZ8CFlSHqx3Ja5/BOql2OqppvFtlhGnG/6Cd267R6c9ztSPZNwCHD/t5RvVcR3D3DdX3zcCDdN5U1Jv2zqBbfd/c5v78QSdN4z3SNON0wLZr5/Tn7Uj2XwBHm9mRZnYQ8Hng4Tb04x3MbEJ14gQzmwB8ks6bivph4Nzq8bnAQ23sy9t0yjTe9aYZp83bru3Tn7t7y7+AU6mdkX8VuKodfajTrw8BL1RfK9rdN+Aeaod1u6md2zgfmAo8CfwKeAKY0kF9+zdqU3u/SC2xprepbydQO0R/EVhWfZ3a7m0X9Ksl202Xy4oUQifoRAqhZBcphJJdpBBKdpFCKNlFCqFkFymEkl2kEP8PZI01qJxaXdoAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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wm2XCYTfLhMNulgmH3SwTPs8+BEyaNKm0PmvWrA51YkOZ1+xmmXDYzTLhsJtlwmE3y4TDbpYJh90sEw67WSZqnmeXNAa4ARgNBDAvIr4uaQ5wEfBcGvXyiLizXY3m7LTTTiutDx8+vOF5r127trS+c+fOhudtvaWeL9XsBi6NiF9IOhhYJmlRqn0tIr7SvvbMrFVqhj0i+oH+9HyHpFXAEe1uzMxaa1D77JLGA8cBD6VBl0h6TNJ1kkZUmWampKWSljbVqZk1pe6wSxoOLAQ+FxEvAXOB9wITKNb8Vw00XUTMi4iJETGxBf2aWYPqCrukYRRBXxARPwKIiC0R8XpE7AG+DZzUvjbNrFk1wy5JwHeAVRHx1YrhfRWjfRxY0fr2zKxV6jkafypwAbBc0iNp2OXA+ZImUJyOWw98ti0dWlMeffTR0vqUKVNK69u2bWtlO9ZF9RyNvx/QACWfUzcbQvwNOrNMOOxmmXDYzTLhsJtlwmE3y4TDbpYJdfKWu5J8f1+zNouIgU6Ve81ulguH3SwTDrtZJhx2s0w47GaZcNjNMuGwm2Wi07dsfh54uuL1qDSsF/Vqb73aF7i3RrWyt3HVCh39Us2b3lxa2qt/m65Xe+vVvsC9NapTvXkz3iwTDrtZJrod9nldfv8yvdpbr/YF7q1RHemtq/vsZtY53V6zm1mHOOxmmehK2CWdJWm1pDWSLutGD9VIWi9puaRHun1/unQPva2SVlQMGylpkaSn0s8B77HXpd7mSNqUlt0jkqZ2qbcxku6V9LiklZL+Kg3v6rIr6asjy63j++ySDgCeBD4CbAQeBs6PiMc72kgVktYDEyOi61/AkPRhYCdwQ0R8IA27EtgWEf+cPihHRMTf9Uhvc4Cd3b6Nd7pbUV/lbcaBc4AL6eKyK+nrXDqw3LqxZj8JWBMR6yLiNeAmYFoX+uh5EbEE2PeWLNOA+en5fIr/LB1XpbeeEBH9EfGL9HwHsPc2411ddiV9dUQ3wn4EsKHi9UZ6637vAdwtaZmkmd1uZgCjI6I/Pd8MjO5mMwOoeRvvTtrnNuM9s+wauf15s3yA7s0mRcTxwEeBi9Pmak+KYh+sl86d1nUb704Z4Dbjv9bNZdfo7c+b1Y2wbwLGVLx+VxrWEyJiU/q5FbiF3rsV9Za9d9BNP7d2uZ9f66XbeA90m3F6YNl18/bn3Qj7w8CRkt4t6W3AecBtXejjTSQdlA6cIOkg4Ex671bUtwEz0vMZwI+72Msb9MptvKvdZpwuL7uu3/48Ijr+AKZSHJFfC3y+Gz1U6es9wKPpsbLbvQHfp9is20VxbOPPgEOBxcBTwH8BI3uot+8Cy4HHKILV16XeJlFsoj8GPJIeU7u97Er66shy89dlzTLhA3RmmXDYzTLhsJtlwmE3y4TDbpYJh90sEw67WSb+HwnvqBsLsBuPAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 21, Iteration: 0, loss: -0.6879106163978577\n",
            "Epoch: 21, Iteration: 1000, loss: -0.6473981738090515\n",
            "Epoch: 21, Iteration: 2000, loss: -0.7000331282615662\n",
            "Epoch: 21, Iteration: 3000, loss: -0.6720995306968689\n",
            "Epoch: 22, Iteration: 0, loss: -0.6832667589187622\n",
            "Epoch: 22, Iteration: 1000, loss: -0.6180179715156555\n",
            "Epoch: 22, Iteration: 2000, loss: -0.7094358801841736\n",
            "Epoch: 22, Iteration: 3000, loss: -0.6280220746994019\n",
            "Epoch: 23, Iteration: 0, loss: -0.34577804803848267\n",
            "Epoch: 23, Iteration: 1000, loss: -0.7251967191696167\n",
            "Epoch: 23, Iteration: 2000, loss: -0.7214499711990356\n",
            "Epoch: 23, Iteration: 3000, loss: -0.7108451724052429\n",
            "Epoch: 24, Iteration: 0, loss: -0.6560088396072388\n",
            "Epoch: 24, Iteration: 1000, loss: -0.7439401149749756\n",
            "Epoch: 24, Iteration: 2000, loss: -0.7804594039916992\n",
            "Epoch: 24, Iteration: 3000, loss: -0.7230767607688904\n",
            "Epoch: 25, Iteration: 0, loss: -0.6796619892120361\n",
            "Epoch: 25, Iteration: 1000, loss: -0.6952345371246338\n",
            "Epoch: 25, Iteration: 2000, loss: -0.6804249286651611\n",
            "Epoch: 25, Iteration: 3000, loss: -0.6768065094947815\n",
            "Iteration: 3749, loss: -0.6552625298500061\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 26, Iteration: 0, loss: -0.7543699741363525\n",
            "Epoch: 26, Iteration: 1000, loss: -0.8244218826293945\n",
            "Epoch: 26, Iteration: 2000, loss: 0.14825545251369476\n",
            "Epoch: 26, Iteration: 3000, loss: -0.64021897315979\n",
            "Epoch: 27, Iteration: 0, loss: -0.7419766187667847\n",
            "Epoch: 27, Iteration: 1000, loss: -0.6848673820495605\n",
            "Epoch: 27, Iteration: 2000, loss: -0.7514986991882324\n",
            "Epoch: 27, Iteration: 3000, loss: -0.6432019472122192\n",
            "Epoch: 28, Iteration: 0, loss: -0.7407422065734863\n",
            "Epoch: 28, Iteration: 1000, loss: -0.6966688632965088\n",
            "Epoch: 28, Iteration: 2000, loss: -0.777633786201477\n",
            "Epoch: 28, Iteration: 3000, loss: -0.7174077033996582\n",
            "Epoch: 29, Iteration: 0, loss: -0.7440215945243835\n",
            "Epoch: 29, Iteration: 1000, loss: -0.7394164800643921\n",
            "Epoch: 29, Iteration: 2000, loss: -0.7638314366340637\n",
            "Epoch: 29, Iteration: 3000, loss: -0.7417625784873962\n",
            "Epoch: 30, Iteration: 0, loss: -0.651518702507019\n",
            "Epoch: 30, Iteration: 1000, loss: -0.8175223469734192\n",
            "Epoch: 30, Iteration: 2000, loss: -0.704287052154541\n",
            "Epoch: 30, Iteration: 3000, loss: -0.7468066811561584\n",
            "Iteration: 3749, loss: -0.7803457379341125\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 31, Iteration: 0, loss: -0.8355194330215454\n",
            "Epoch: 31, Iteration: 1000, loss: -0.6663479208946228\n",
            "Epoch: 31, Iteration: 2000, loss: -0.5963835716247559\n",
            "Epoch: 31, Iteration: 3000, loss: -0.6967546343803406\n",
            "Epoch: 32, Iteration: 0, loss: -0.7170679569244385\n",
            "Epoch: 32, Iteration: 1000, loss: -0.7255422472953796\n",
            "Epoch: 32, Iteration: 2000, loss: -0.6900866031646729\n",
            "Epoch: 32, Iteration: 3000, loss: -0.7282012701034546\n",
            "Epoch: 33, Iteration: 0, loss: -0.7819639444351196\n",
            "Epoch: 33, Iteration: 1000, loss: -0.7543027997016907\n",
            "Epoch: 33, Iteration: 2000, loss: -0.6853125095367432\n",
            "Epoch: 33, Iteration: 3000, loss: -0.7432913184165955\n",
            "Epoch: 34, Iteration: 0, loss: -0.7331405878067017\n",
            "Epoch: 34, Iteration: 1000, loss: -0.7490220069885254\n",
            "Epoch: 34, Iteration: 2000, loss: -0.7149999737739563\n",
            "Epoch: 34, Iteration: 3000, loss: -0.7606775164604187\n",
            "Epoch: 35, Iteration: 0, loss: -0.8332919478416443\n",
            "Epoch: 35, Iteration: 1000, loss: -0.7783575654029846\n",
            "Epoch: 35, Iteration: 2000, loss: -0.8325208425521851\n",
            "Epoch: 35, Iteration: 3000, loss: -0.8557135462760925\n",
            "Iteration: 3749, loss: -0.6376156210899353\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 36, Iteration: 0, loss: -0.6784905791282654\n",
            "Epoch: 36, Iteration: 1000, loss: -0.7147912383079529\n",
            "Epoch: 36, Iteration: 2000, loss: -0.810088038444519\n",
            "Epoch: 36, Iteration: 3000, loss: -0.7201435565948486\n",
            "Epoch: 37, Iteration: 0, loss: -0.7673595547676086\n",
            "Epoch: 37, Iteration: 1000, loss: -0.7474313974380493\n",
            "Epoch: 37, Iteration: 2000, loss: -0.6879092454910278\n",
            "Epoch: 37, Iteration: 3000, loss: -0.6893357634544373\n",
            "Epoch: 38, Iteration: 0, loss: -0.8317251801490784\n",
            "Epoch: 38, Iteration: 1000, loss: -0.7412301301956177\n",
            "Epoch: 38, Iteration: 2000, loss: -0.7029343247413635\n",
            "Epoch: 38, Iteration: 3000, loss: -0.7926074862480164\n",
            "Epoch: 39, Iteration: 0, loss: -0.7304344177246094\n",
            "Epoch: 39, Iteration: 1000, loss: -0.7426953911781311\n",
            "Epoch: 39, Iteration: 2000, loss: -0.7954206466674805\n",
            "Epoch: 39, Iteration: 3000, loss: -0.7939419746398926\n",
            "Epoch: 40, Iteration: 0, loss: -0.8051692247390747\n",
            "Epoch: 40, Iteration: 1000, loss: -0.7622930407524109\n",
            "Epoch: 40, Iteration: 2000, loss: -0.8729838728904724\n",
            "Epoch: 40, Iteration: 3000, loss: -0.7849648594856262\n",
            "Iteration: 3749, loss: -0.7517786026000977\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 41, Iteration: 0, loss: -0.7371045351028442\n",
            "Epoch: 41, Iteration: 1000, loss: -0.7994564771652222\n",
            "Epoch: 41, Iteration: 2000, loss: -0.7141098380088806\n",
            "Epoch: 41, Iteration: 3000, loss: -0.7877717018127441\n",
            "Epoch: 42, Iteration: 0, loss: -0.8089495897293091\n",
            "Epoch: 42, Iteration: 1000, loss: -0.617675244808197\n",
            "Epoch: 42, Iteration: 2000, loss: -0.8474984765052795\n",
            "Epoch: 42, Iteration: 3000, loss: -0.8003244996070862\n",
            "Epoch: 43, Iteration: 0, loss: -0.7723126411437988\n",
            "Epoch: 43, Iteration: 1000, loss: -0.7653332352638245\n",
            "Epoch: 43, Iteration: 2000, loss: -0.7498478889465332\n",
            "Epoch: 43, Iteration: 3000, loss: -0.7561505436897278\n",
            "Epoch: 44, Iteration: 0, loss: -0.7298548817634583\n",
            "Epoch: 44, Iteration: 1000, loss: -0.7514804601669312\n",
            "Epoch: 44, Iteration: 2000, loss: -0.707545816898346\n",
            "Epoch: 44, Iteration: 3000, loss: -0.7333587408065796\n",
            "Epoch: 45, Iteration: 0, loss: -0.662706732749939\n",
            "Epoch: 45, Iteration: 1000, loss: -0.49717533588409424\n",
            "Epoch: 45, Iteration: 2000, loss: -0.7677094340324402\n",
            "Epoch: 45, Iteration: 3000, loss: -0.7087540626525879\n",
            "Iteration: 3749, loss: -0.6733537912368774\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 46, Iteration: 0, loss: -0.8073424100875854\n",
            "Epoch: 46, Iteration: 1000, loss: -0.754135012626648\n",
            "Epoch: 46, Iteration: 2000, loss: -0.6538238525390625\n",
            "Epoch: 46, Iteration: 3000, loss: -0.7754651308059692\n",
            "Epoch: 47, Iteration: 0, loss: -0.750847339630127\n",
            "Epoch: 47, Iteration: 1000, loss: -0.7125752568244934\n",
            "Epoch: 47, Iteration: 2000, loss: -0.7542970180511475\n",
            "Epoch: 47, Iteration: 3000, loss: -0.7606902718544006\n",
            "Epoch: 48, Iteration: 0, loss: -0.635273814201355\n",
            "Epoch: 48, Iteration: 1000, loss: -0.8149527311325073\n",
            "Epoch: 48, Iteration: 2000, loss: -0.7729809284210205\n",
            "Epoch: 48, Iteration: 3000, loss: -0.7696919441223145\n",
            "Epoch: 49, Iteration: 0, loss: -0.7316856980323792\n",
            "Epoch: 49, Iteration: 1000, loss: -0.8145264983177185\n",
            "Epoch: 49, Iteration: 2000, loss: -0.7712355256080627\n",
            "Epoch: 49, Iteration: 3000, loss: -0.7720711827278137\n",
            "Epoch: 50, Iteration: 0, loss: -0.8686920404434204\n",
            "Epoch: 50, Iteration: 1000, loss: -0.8057080507278442\n",
            "Epoch: 50, Iteration: 2000, loss: -0.7600275278091431\n",
            "Epoch: 50, Iteration: 3000, loss: -0.7116537690162659\n",
            "Iteration: 3749, loss: -0.7805280089378357\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 51, Iteration: 0, loss: -0.8502153158187866\n",
            "Epoch: 51, Iteration: 1000, loss: -0.7966240644454956\n",
            "Epoch: 51, Iteration: 2000, loss: -0.749988853931427\n",
            "Epoch: 51, Iteration: 3000, loss: -0.8543294668197632\n",
            "Epoch: 52, Iteration: 0, loss: -0.806605875492096\n",
            "Epoch: 52, Iteration: 1000, loss: -0.8596723675727844\n",
            "Epoch: 52, Iteration: 2000, loss: -0.7959105372428894\n",
            "Epoch: 52, Iteration: 3000, loss: -0.707223117351532\n",
            "Epoch: 53, Iteration: 0, loss: -0.8459097743034363\n",
            "Epoch: 53, Iteration: 1000, loss: -0.7021851539611816\n",
            "Epoch: 53, Iteration: 2000, loss: -0.7405297756195068\n",
            "Epoch: 53, Iteration: 3000, loss: -0.8546000719070435\n",
            "Epoch: 54, Iteration: 0, loss: -0.7837149500846863\n",
            "Epoch: 54, Iteration: 1000, loss: -0.7503030300140381\n",
            "Epoch: 54, Iteration: 2000, loss: -0.786433219909668\n",
            "Epoch: 54, Iteration: 3000, loss: -0.8706172108650208\n",
            "Epoch: 55, Iteration: 0, loss: -0.8507617712020874\n",
            "Epoch: 55, Iteration: 1000, loss: -0.7996253967285156\n",
            "Epoch: 55, Iteration: 2000, loss: -0.7847186326980591\n",
            "Epoch: 55, Iteration: 3000, loss: -0.7562261819839478\n",
            "Iteration: 3749, loss: -0.792616605758667\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 56, Iteration: 0, loss: -0.6803745031356812\n",
            "Epoch: 56, Iteration: 1000, loss: -0.7789298295974731\n",
            "Epoch: 56, Iteration: 2000, loss: -0.611956775188446\n",
            "Epoch: 56, Iteration: 3000, loss: -0.8129754662513733\n",
            "Epoch: 57, Iteration: 0, loss: -0.8047612905502319\n",
            "Epoch: 57, Iteration: 1000, loss: -0.6304111480712891\n",
            "Epoch: 57, Iteration: 2000, loss: -0.7996677756309509\n",
            "Epoch: 57, Iteration: 3000, loss: -0.8556971549987793\n",
            "Epoch: 58, Iteration: 0, loss: -0.7284279465675354\n",
            "Epoch: 58, Iteration: 1000, loss: -0.8074608445167542\n",
            "Epoch: 58, Iteration: 2000, loss: -0.8700793385505676\n",
            "Epoch: 58, Iteration: 3000, loss: -0.7999508380889893\n",
            "Epoch: 59, Iteration: 0, loss: -0.7822559475898743\n",
            "Epoch: 59, Iteration: 1000, loss: -0.7776872515678406\n",
            "Epoch: 59, Iteration: 2000, loss: -0.8129073977470398\n",
            "Epoch: 59, Iteration: 3000, loss: -0.8468020558357239\n",
            "Epoch: 60, Iteration: 0, loss: -0.5398811101913452\n",
            "Epoch: 60, Iteration: 1000, loss: -0.7980504035949707\n",
            "Epoch: 60, Iteration: 2000, loss: -0.7665247917175293\n",
            "Epoch: 60, Iteration: 3000, loss: -0.8565502166748047\n",
            "Iteration: 3749, loss: -0.7872320413589478\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 61, Iteration: 0, loss: -0.7418472766876221\n",
            "Epoch: 61, Iteration: 1000, loss: -0.8767525553703308\n",
            "Epoch: 61, Iteration: 2000, loss: -0.8187122344970703\n",
            "Epoch: 61, Iteration: 3000, loss: -0.7734239101409912\n",
            "Epoch: 62, Iteration: 0, loss: -0.759556770324707\n",
            "Epoch: 62, Iteration: 1000, loss: -0.9164531230926514\n",
            "Epoch: 62, Iteration: 2000, loss: -0.7268320322036743\n",
            "Epoch: 62, Iteration: 3000, loss: -0.7573361396789551\n",
            "Epoch: 63, Iteration: 0, loss: -0.7095304727554321\n",
            "Epoch: 63, Iteration: 1000, loss: -0.7524710297584534\n",
            "Epoch: 63, Iteration: 2000, loss: -0.7333539128303528\n",
            "Epoch: 63, Iteration: 3000, loss: -0.6880408525466919\n",
            "Epoch: 64, Iteration: 0, loss: -0.7528170347213745\n",
            "Epoch: 64, Iteration: 1000, loss: -0.6686422228813171\n",
            "Epoch: 64, Iteration: 2000, loss: -0.8141465783119202\n",
            "Epoch: 64, Iteration: 3000, loss: -0.7389022707939148\n",
            "Epoch: 65, Iteration: 0, loss: -0.8110455274581909\n",
            "Epoch: 65, Iteration: 1000, loss: -0.8153328895568848\n",
            "Epoch: 65, Iteration: 2000, loss: -0.7969073057174683\n",
            "Epoch: 65, Iteration: 3000, loss: -0.5932837128639221\n",
            "Iteration: 3749, loss: -0.8423985242843628\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 66, Iteration: 0, loss: -0.8394320011138916\n",
            "Epoch: 66, Iteration: 1000, loss: -0.8387787342071533\n",
            "Epoch: 66, Iteration: 2000, loss: -0.8335686326026917\n",
            "Epoch: 66, Iteration: 3000, loss: -0.4794999659061432\n",
            "Epoch: 67, Iteration: 0, loss: -0.9189106225967407\n",
            "Epoch: 67, Iteration: 1000, loss: -0.7616873383522034\n",
            "Epoch: 67, Iteration: 2000, loss: -0.8310146331787109\n",
            "Epoch: 67, Iteration: 3000, loss: -0.6727843284606934\n",
            "Epoch: 68, Iteration: 0, loss: -0.7099147439002991\n",
            "Epoch: 68, Iteration: 1000, loss: -0.863463282585144\n",
            "Epoch: 68, Iteration: 2000, loss: -0.8474714159965515\n",
            "Epoch: 68, Iteration: 3000, loss: -0.7412087917327881\n",
            "Epoch: 69, Iteration: 0, loss: -0.8228595852851868\n",
            "Epoch: 69, Iteration: 1000, loss: -0.8229159712791443\n",
            "Epoch: 69, Iteration: 2000, loss: -0.6892973184585571\n",
            "Epoch: 69, Iteration: 3000, loss: -0.8148574233055115\n",
            "Epoch: 70, Iteration: 0, loss: -0.8092654347419739\n",
            "Epoch: 70, Iteration: 1000, loss: -0.8146936893463135\n",
            "Epoch: 70, Iteration: 2000, loss: -0.8750013709068298\n",
            "Epoch: 70, Iteration: 3000, loss: -0.6782971620559692\n",
            "Iteration: 3749, loss: -0.8286378383636475\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 71, Iteration: 0, loss: -0.84203040599823\n",
            "Epoch: 71, Iteration: 1000, loss: -0.8571937680244446\n",
            "Epoch: 71, Iteration: 2000, loss: -0.8283557295799255\n",
            "Epoch: 71, Iteration: 3000, loss: -0.7116257548332214\n",
            "Epoch: 72, Iteration: 0, loss: -0.7405350208282471\n",
            "Epoch: 72, Iteration: 1000, loss: -0.7891704440116882\n",
            "Epoch: 72, Iteration: 2000, loss: -0.8990157246589661\n",
            "Epoch: 72, Iteration: 3000, loss: -0.8025895357131958\n",
            "Epoch: 73, Iteration: 0, loss: -0.6697989106178284\n",
            "Epoch: 73, Iteration: 1000, loss: -0.7990023493766785\n",
            "Epoch: 73, Iteration: 2000, loss: -0.7928516864776611\n",
            "Epoch: 73, Iteration: 3000, loss: -0.7834081053733826\n",
            "Epoch: 74, Iteration: 0, loss: -0.8458226919174194\n",
            "Epoch: 74, Iteration: 1000, loss: -0.4740414023399353\n",
            "Epoch: 74, Iteration: 2000, loss: -0.9882620573043823\n",
            "Epoch: 74, Iteration: 3000, loss: -0.8475533127784729\n",
            "Epoch: 75, Iteration: 0, loss: -0.8661131858825684\n",
            "Epoch: 75, Iteration: 1000, loss: -0.8314966559410095\n",
            "Epoch: 75, Iteration: 2000, loss: -0.7641173601150513\n",
            "Epoch: 75, Iteration: 3000, loss: -0.8231875896453857\n",
            "Iteration: 3749, loss: -0.5468601584434509\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 76, Iteration: 0, loss: -0.8056866526603699\n",
            "Epoch: 76, Iteration: 1000, loss: -0.8929369449615479\n",
            "Epoch: 76, Iteration: 2000, loss: -0.8701061010360718\n",
            "Epoch: 76, Iteration: 3000, loss: -0.8825205564498901\n",
            "Epoch: 77, Iteration: 0, loss: -0.8512988090515137\n",
            "Epoch: 77, Iteration: 1000, loss: -0.7092623710632324\n",
            "Epoch: 77, Iteration: 2000, loss: -0.8833214640617371\n",
            "Epoch: 77, Iteration: 3000, loss: -0.8231806755065918\n",
            "Epoch: 78, Iteration: 0, loss: -0.6599507331848145\n",
            "Epoch: 78, Iteration: 1000, loss: -0.8002467751502991\n",
            "Epoch: 78, Iteration: 2000, loss: -0.8266441822052002\n",
            "Epoch: 78, Iteration: 3000, loss: -0.8509109616279602\n",
            "Epoch: 79, Iteration: 0, loss: -0.8965279459953308\n",
            "Epoch: 79, Iteration: 1000, loss: -0.8754562735557556\n",
            "Epoch: 79, Iteration: 2000, loss: -0.7654219269752502\n",
            "Epoch: 79, Iteration: 3000, loss: -0.7852059006690979\n",
            "Epoch: 80, Iteration: 0, loss: -0.7874014973640442\n",
            "Epoch: 80, Iteration: 1000, loss: -0.7962015867233276\n",
            "Epoch: 80, Iteration: 2000, loss: -0.7589288353919983\n",
            "Epoch: 80, Iteration: 3000, loss: -0.885343611240387\n",
            "Iteration: 3749, loss: -0.778343677520752\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 81, Iteration: 0, loss: -0.7888116240501404\n",
            "Epoch: 81, Iteration: 1000, loss: -0.8374707102775574\n",
            "Epoch: 81, Iteration: 2000, loss: -0.8117915391921997\n",
            "Epoch: 81, Iteration: 3000, loss: -0.7927483320236206\n",
            "Epoch: 82, Iteration: 0, loss: -0.8178426623344421\n",
            "Epoch: 82, Iteration: 1000, loss: -0.8240200281143188\n",
            "Epoch: 82, Iteration: 2000, loss: -0.8617647290229797\n",
            "Epoch: 82, Iteration: 3000, loss: -0.9061456918716431\n",
            "Epoch: 83, Iteration: 0, loss: -0.21129319071769714\n",
            "Epoch: 83, Iteration: 1000, loss: -0.8531225919723511\n",
            "Epoch: 83, Iteration: 2000, loss: -0.6501774787902832\n",
            "Epoch: 83, Iteration: 3000, loss: -0.8639848232269287\n",
            "Epoch: 84, Iteration: 0, loss: -0.8734755516052246\n",
            "Epoch: 84, Iteration: 1000, loss: -0.8135482668876648\n",
            "Epoch: 84, Iteration: 2000, loss: -0.7957106232643127\n",
            "Epoch: 84, Iteration: 3000, loss: -0.8220574855804443\n",
            "Epoch: 85, Iteration: 0, loss: -0.8200371861457825\n",
            "Epoch: 85, Iteration: 1000, loss: -0.8483675718307495\n",
            "Epoch: 85, Iteration: 2000, loss: -0.8715908527374268\n",
            "Epoch: 85, Iteration: 3000, loss: -0.83955317735672\n",
            "Iteration: 3749, loss: -0.9797785878181458\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 86, Iteration: 0, loss: -0.8133161067962646\n",
            "Epoch: 86, Iteration: 1000, loss: -0.8588088750839233\n",
            "Epoch: 86, Iteration: 2000, loss: -0.7735996246337891\n",
            "Epoch: 86, Iteration: 3000, loss: -0.8246769309043884\n",
            "Epoch: 87, Iteration: 0, loss: -0.8295226097106934\n",
            "Epoch: 87, Iteration: 1000, loss: -0.8627474904060364\n",
            "Epoch: 87, Iteration: 2000, loss: -0.9278088808059692\n",
            "Epoch: 87, Iteration: 3000, loss: -0.757192075252533\n",
            "Epoch: 88, Iteration: 0, loss: -0.8471653461456299\n",
            "Epoch: 88, Iteration: 1000, loss: -0.8745374083518982\n",
            "Epoch: 88, Iteration: 2000, loss: -0.8549955487251282\n",
            "Epoch: 88, Iteration: 3000, loss: -0.8645278811454773\n",
            "Epoch: 89, Iteration: 0, loss: -0.9667065143585205\n",
            "Epoch: 89, Iteration: 1000, loss: -0.7372250556945801\n",
            "Epoch: 89, Iteration: 2000, loss: -0.8950415253639221\n",
            "Epoch: 89, Iteration: 3000, loss: -0.7876883745193481\n",
            "Epoch: 90, Iteration: 0, loss: -0.9086638689041138\n",
            "Epoch: 90, Iteration: 1000, loss: -0.8894096612930298\n",
            "Epoch: 90, Iteration: 2000, loss: -0.8930829763412476\n",
            "Epoch: 90, Iteration: 3000, loss: -0.8225484490394592\n",
            "Iteration: 3749, loss: -0.8462112545967102\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 91, Iteration: 0, loss: -0.8587022423744202\n",
            "Epoch: 91, Iteration: 1000, loss: -0.2667456567287445\n",
            "Epoch: 91, Iteration: 2000, loss: -0.8601070046424866\n",
            "Epoch: 91, Iteration: 3000, loss: -0.9634087085723877\n",
            "Epoch: 92, Iteration: 0, loss: -0.9467183351516724\n",
            "Epoch: 92, Iteration: 1000, loss: -0.8838316798210144\n",
            "Epoch: 92, Iteration: 2000, loss: -0.9303980469703674\n",
            "Epoch: 92, Iteration: 3000, loss: -0.8367158770561218\n",
            "Epoch: 93, Iteration: 0, loss: -0.8923087120056152\n",
            "Epoch: 93, Iteration: 1000, loss: -0.8258775472640991\n",
            "Epoch: 93, Iteration: 2000, loss: -0.8081538081169128\n",
            "Epoch: 93, Iteration: 3000, loss: -0.8678202629089355\n",
            "Epoch: 94, Iteration: 0, loss: -0.83332359790802\n",
            "Epoch: 94, Iteration: 1000, loss: -0.9005429744720459\n",
            "Epoch: 94, Iteration: 2000, loss: -0.8919274806976318\n",
            "Epoch: 94, Iteration: 3000, loss: -0.7893185615539551\n",
            "Epoch: 95, Iteration: 0, loss: -0.787500262260437\n",
            "Epoch: 95, Iteration: 1000, loss: -0.8764626979827881\n",
            "Epoch: 95, Iteration: 2000, loss: -0.9294559955596924\n",
            "Epoch: 95, Iteration: 3000, loss: -0.8910709023475647\n",
            "Iteration: 3749, loss: -0.7244948744773865\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 96, Iteration: 0, loss: -0.6241366863250732\n",
            "Epoch: 96, Iteration: 1000, loss: -0.7760208249092102\n",
            "Epoch: 96, Iteration: 2000, loss: -0.832640528678894\n",
            "Epoch: 96, Iteration: 3000, loss: -0.9188482761383057\n",
            "Epoch: 97, Iteration: 0, loss: -0.614022433757782\n",
            "Epoch: 97, Iteration: 1000, loss: -0.8917937874794006\n",
            "Epoch: 97, Iteration: 2000, loss: -0.7316286563873291\n",
            "Epoch: 97, Iteration: 3000, loss: -0.262121319770813\n",
            "Epoch: 98, Iteration: 0, loss: -0.9071363806724548\n",
            "Epoch: 98, Iteration: 1000, loss: -0.9507059454917908\n",
            "Epoch: 98, Iteration: 2000, loss: -0.9172429442405701\n",
            "Epoch: 98, Iteration: 3000, loss: -0.8987265229225159\n",
            "Epoch: 99, Iteration: 0, loss: -0.9370200037956238\n",
            "Epoch: 99, Iteration: 1000, loss: -0.7658639550209045\n",
            "Epoch: 99, Iteration: 2000, loss: -0.8892497420310974\n",
            "Epoch: 99, Iteration: 3000, loss: -0.8433184623718262\n",
            "Epoch: 100, Iteration: 0, loss: -0.8620830178260803\n",
            "Epoch: 100, Iteration: 1000, loss: -0.8949124813079834\n",
            "Epoch: 100, Iteration: 2000, loss: -0.7964860796928406\n",
            "Epoch: 100, Iteration: 3000, loss: -0.9261128306388855\n",
            "Iteration: 3749, loss: -0.9423443675041199\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 101, Iteration: 0, loss: -0.9185301065444946\n",
            "Epoch: 101, Iteration: 1000, loss: -0.8737697601318359\n",
            "Epoch: 101, Iteration: 2000, loss: -0.9045164585113525\n",
            "Epoch: 101, Iteration: 3000, loss: -0.7222583889961243\n",
            "Epoch: 102, Iteration: 0, loss: -0.9487413167953491\n",
            "Epoch: 102, Iteration: 1000, loss: -0.872641384601593\n",
            "Epoch: 102, Iteration: 2000, loss: -0.8816133737564087\n",
            "Epoch: 102, Iteration: 3000, loss: -0.7678824067115784\n",
            "Epoch: 103, Iteration: 0, loss: -0.862575113773346\n",
            "Epoch: 103, Iteration: 1000, loss: -0.8704888820648193\n",
            "Epoch: 103, Iteration: 2000, loss: -0.7642707824707031\n",
            "Epoch: 103, Iteration: 3000, loss: -0.8589772582054138\n",
            "Epoch: 104, Iteration: 0, loss: -0.8530314564704895\n",
            "Epoch: 104, Iteration: 1000, loss: -0.751172661781311\n",
            "Epoch: 104, Iteration: 2000, loss: -0.8695892691612244\n",
            "Epoch: 104, Iteration: 3000, loss: -0.8569990992546082\n",
            "Epoch: 105, Iteration: 0, loss: -0.8862708210945129\n",
            "Epoch: 105, Iteration: 1000, loss: -0.8941453099250793\n",
            "Epoch: 105, Iteration: 2000, loss: -0.8290547132492065\n",
            "Epoch: 105, Iteration: 3000, loss: -0.484162300825119\n",
            "Iteration: 3749, loss: -0.19924727082252502\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 106, Iteration: 0, loss: -0.9154051542282104\n",
            "Epoch: 106, Iteration: 1000, loss: -0.9538255929946899\n",
            "Epoch: 106, Iteration: 2000, loss: -0.8649516105651855\n",
            "Epoch: 106, Iteration: 3000, loss: -0.6581039428710938\n",
            "Epoch: 107, Iteration: 0, loss: -0.8787303566932678\n",
            "Epoch: 107, Iteration: 1000, loss: -0.8865756392478943\n",
            "Epoch: 107, Iteration: 2000, loss: -0.8942423462867737\n",
            "Epoch: 107, Iteration: 3000, loss: -0.034225352108478546\n",
            "Epoch: 108, Iteration: 0, loss: -0.32744795083999634\n",
            "Epoch: 108, Iteration: 1000, loss: -0.9265602827072144\n",
            "Epoch: 108, Iteration: 2000, loss: -0.8820575475692749\n",
            "Epoch: 108, Iteration: 3000, loss: -0.93841552734375\n",
            "Epoch: 109, Iteration: 0, loss: -0.3458510637283325\n",
            "Epoch: 109, Iteration: 1000, loss: -0.8508915901184082\n",
            "Epoch: 109, Iteration: 2000, loss: -0.7584145665168762\n",
            "Epoch: 109, Iteration: 3000, loss: -0.6728209257125854\n",
            "Epoch: 110, Iteration: 0, loss: -0.8352356553077698\n",
            "Epoch: 110, Iteration: 1000, loss: -0.8898105025291443\n",
            "Epoch: 110, Iteration: 2000, loss: -0.9300102591514587\n",
            "Epoch: 110, Iteration: 3000, loss: -0.978206217288971\n",
            "Iteration: 3749, loss: -0.8801220059394836\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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wm2XCYTfLhMNulgmH3SwTPs8+BEyaNKm0PmvWrA51YkOZ1+xmmXDYzTLhsJtlwmE3y4TDbpYJh90sEw67WSZqnmeXNAa4ARgNBDAvIr4uaQ5wEfBcGvXyiLizXY3m7LTTTiutDx8+vOF5r127trS+c+fOhudtvaWeL9XsBi6NiF9IOhhYJmlRqn0tIr7SvvbMrFVqhj0i+oH+9HyHpFXAEe1uzMxaa1D77JLGA8cBD6VBl0h6TNJ1kkZUmWampKWSljbVqZk1pe6wSxoOLAQ+FxEvAXOB9wITKNb8Vw00XUTMi4iJETGxBf2aWYPqCrukYRRBXxARPwKIiC0R8XpE7AG+DZzUvjbNrFk1wy5JwHeAVRHx1YrhfRWjfRxY0fr2zKxV6jkafypwAbBc0iNp2OXA+ZImUJyOWw98ti0dWlMeffTR0vqUKVNK69u2bWtlO9ZF9RyNvx/QACWfUzcbQvwNOrNMOOxmmXDYzTLhsJtlwmE3y4TDbpYJdfKWu5J8f1+zNouIgU6Ve81ulguH3SwTDrtZJhx2s0w47GaZcNjNMuGwm2Wi07dsfh54uuL1qDSsF/Vqb73aF7i3RrWyt3HVCh39Us2b3lxa2qt/m65Xe+vVvsC9NapTvXkz3iwTDrtZJrod9nldfv8yvdpbr/YF7q1RHemtq/vsZtY53V6zm1mHOOxmmehK2CWdJWm1pDWSLutGD9VIWi9puaRHun1/unQPva2SVlQMGylpkaSn0s8B77HXpd7mSNqUlt0jkqZ2qbcxku6V9LiklZL+Kg3v6rIr6asjy63j++ySDgCeBD4CbAQeBs6PiMc72kgVktYDEyOi61/AkPRhYCdwQ0R8IA27EtgWEf+cPihHRMTf9Uhvc4Cd3b6Nd7pbUV/lbcaBc4AL6eKyK+nrXDqw3LqxZj8JWBMR6yLiNeAmYFoX+uh5EbEE2PeWLNOA+en5fIr/LB1XpbeeEBH9EfGL9HwHsPc2411ddiV9dUQ3wn4EsKHi9UZ6637vAdwtaZmkmd1uZgCjI6I/Pd8MjO5mMwOoeRvvTtrnNuM9s+wauf15s3yA7s0mRcTxwEeBi9Pmak+KYh+sl86d1nUb704Z4Dbjv9bNZdfo7c+b1Y2wbwLGVLx+VxrWEyJiU/q5FbiF3rsV9Za9d9BNP7d2uZ9f66XbeA90m3F6YNl18/bn3Qj7w8CRkt4t6W3AecBtXejjTSQdlA6cIOkg4Ex671bUtwEz0vMZwI+72Msb9MptvKvdZpwuL7uu3/48Ijr+AKZSHJFfC3y+Gz1U6es9wKPpsbLbvQHfp9is20VxbOPPgEOBxcBTwH8BI3uot+8Cy4HHKILV16XeJlFsoj8GPJIeU7u97Er66shy89dlzTLhA3RmmXDYzTLhsJtlwmE3y4TDbpYJh90sEw67WSb+HwnvqBsLsBuPAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 111, Iteration: 0, loss: -0.9440762996673584\n",
            "Epoch: 111, Iteration: 1000, loss: -0.8886785507202148\n",
            "Epoch: 111, Iteration: 2000, loss: -0.6470090746879578\n",
            "Epoch: 111, Iteration: 3000, loss: -0.8919227719306946\n",
            "Epoch: 112, Iteration: 0, loss: -0.9189472794532776\n",
            "Epoch: 112, Iteration: 1000, loss: -0.9266519546508789\n",
            "Epoch: 112, Iteration: 2000, loss: -0.822464644908905\n",
            "Epoch: 112, Iteration: 3000, loss: -0.9290082454681396\n",
            "Epoch: 113, Iteration: 0, loss: -0.9342979788780212\n",
            "Epoch: 113, Iteration: 1000, loss: -0.8971717357635498\n",
            "Epoch: 113, Iteration: 2000, loss: -0.8891103863716125\n",
            "Epoch: 113, Iteration: 3000, loss: -0.8027058243751526\n",
            "Epoch: 114, Iteration: 0, loss: -0.8565691709518433\n",
            "Epoch: 114, Iteration: 1000, loss: -0.9411090612411499\n",
            "Epoch: 114, Iteration: 2000, loss: -0.8262567520141602\n",
            "Epoch: 114, Iteration: 3000, loss: -0.9282330274581909\n",
            "Epoch: 115, Iteration: 0, loss: -0.8561310172080994\n",
            "Epoch: 115, Iteration: 1000, loss: -0.8465071320533752\n",
            "Epoch: 115, Iteration: 2000, loss: -0.9411019086837769\n",
            "Epoch: 115, Iteration: 3000, loss: -0.8822395205497742\n",
            "Iteration: 3749, loss: -0.8692563772201538\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 116, Iteration: 0, loss: -0.8406093120574951\n",
            "Epoch: 116, Iteration: 1000, loss: -0.9609223008155823\n",
            "Epoch: 116, Iteration: 2000, loss: -0.9156255722045898\n",
            "Epoch: 116, Iteration: 3000, loss: -0.8814864754676819\n",
            "Epoch: 117, Iteration: 0, loss: -0.8765913844108582\n",
            "Epoch: 117, Iteration: 1000, loss: -0.8322615027427673\n",
            "Epoch: 117, Iteration: 2000, loss: -0.8794685006141663\n",
            "Epoch: 117, Iteration: 3000, loss: -0.7961487770080566\n",
            "Epoch: 118, Iteration: 0, loss: -0.8676620125770569\n",
            "Epoch: 118, Iteration: 1000, loss: -0.7762344479560852\n",
            "Epoch: 118, Iteration: 2000, loss: -0.8651619553565979\n",
            "Epoch: 118, Iteration: 3000, loss: -0.9020273685455322\n",
            "Epoch: 119, Iteration: 0, loss: -0.8993912935256958\n",
            "Epoch: 119, Iteration: 1000, loss: -0.9700027704238892\n",
            "Epoch: 119, Iteration: 2000, loss: -0.8821425437927246\n",
            "Epoch: 119, Iteration: 3000, loss: -0.8482105135917664\n",
            "Epoch: 120, Iteration: 0, loss: -0.8269366025924683\n",
            "Epoch: 120, Iteration: 1000, loss: -0.9021868109703064\n",
            "Epoch: 120, Iteration: 2000, loss: -0.897628664970398\n",
            "Epoch: 120, Iteration: 3000, loss: -0.9276273250579834\n",
            "Iteration: 3749, loss: -0.9447707533836365\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 121, Iteration: 0, loss: -0.8591599464416504\n",
            "Epoch: 121, Iteration: 1000, loss: -0.9019654393196106\n",
            "Epoch: 121, Iteration: 2000, loss: -0.9360622763633728\n",
            "Epoch: 121, Iteration: 3000, loss: -0.9115976095199585\n",
            "Epoch: 122, Iteration: 0, loss: -0.8026124238967896\n",
            "Epoch: 122, Iteration: 1000, loss: -0.9728226661682129\n",
            "Epoch: 122, Iteration: 2000, loss: -0.934696614742279\n",
            "Epoch: 122, Iteration: 3000, loss: -0.8719574809074402\n",
            "Epoch: 123, Iteration: 0, loss: -0.9617026448249817\n",
            "Epoch: 123, Iteration: 1000, loss: -0.9006242156028748\n",
            "Epoch: 123, Iteration: 2000, loss: -0.7701207399368286\n",
            "Epoch: 123, Iteration: 3000, loss: -0.9209462404251099\n",
            "Epoch: 124, Iteration: 0, loss: -0.9221343398094177\n",
            "Epoch: 124, Iteration: 1000, loss: -0.8928451538085938\n",
            "Epoch: 124, Iteration: 2000, loss: -0.8887778520584106\n",
            "Epoch: 124, Iteration: 3000, loss: -0.9372286796569824\n",
            "Epoch: 125, Iteration: 0, loss: -0.9178688526153564\n",
            "Epoch: 125, Iteration: 1000, loss: -0.8916707038879395\n",
            "Epoch: 125, Iteration: 2000, loss: -0.8813624382019043\n",
            "Epoch: 125, Iteration: 3000, loss: -0.7925111651420593\n",
            "Iteration: 3749, loss: -0.9115316271781921\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 126, Iteration: 0, loss: -0.8677572011947632\n",
            "Epoch: 126, Iteration: 1000, loss: -0.7007459402084351\n",
            "Epoch: 126, Iteration: 2000, loss: -0.9133811593055725\n",
            "Epoch: 126, Iteration: 3000, loss: -0.7266810536384583\n",
            "Epoch: 127, Iteration: 0, loss: -0.9573919773101807\n",
            "Epoch: 127, Iteration: 1000, loss: -0.8305402398109436\n",
            "Epoch: 127, Iteration: 2000, loss: -0.9422819018363953\n",
            "Epoch: 127, Iteration: 3000, loss: -0.8912563920021057\n",
            "Epoch: 128, Iteration: 0, loss: -1.0002385377883911\n",
            "Epoch: 128, Iteration: 1000, loss: -1.0154682397842407\n",
            "Epoch: 128, Iteration: 2000, loss: -0.857207715511322\n",
            "Epoch: 128, Iteration: 3000, loss: -0.8925592303276062\n",
            "Epoch: 129, Iteration: 0, loss: -0.9505985975265503\n",
            "Epoch: 129, Iteration: 1000, loss: -0.9915432333946228\n",
            "Epoch: 129, Iteration: 2000, loss: -0.9632409811019897\n",
            "Epoch: 129, Iteration: 3000, loss: -0.9025643467903137\n",
            "Epoch: 130, Iteration: 0, loss: -0.8843938708305359\n",
            "Epoch: 130, Iteration: 1000, loss: -0.8036842942237854\n",
            "Epoch: 130, Iteration: 2000, loss: -0.9090695977210999\n",
            "Epoch: 130, Iteration: 3000, loss: -0.6578571796417236\n",
            "Iteration: 3749, loss: -0.8963028192520142\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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wm2XCYTfLhMNulgmH3SwTPs8+BEyaNKm0PmvWrA51YkOZ1+xmmXDYzTLhsJtlwmE3y4TDbpYJh90sEw67WSZqnmeXNAa4ARgNBDAvIr4uaQ5wEfBcGvXyiLizXY3m7LTTTiutDx8+vOF5r127trS+c+fOhudtvaWeL9XsBi6NiF9IOhhYJmlRqn0tIr7SvvbMrFVqhj0i+oH+9HyHpFXAEe1uzMxaa1D77JLGA8cBD6VBl0h6TNJ1kkZUmWampKWSljbVqZk1pe6wSxoOLAQ+FxEvAXOB9wITKNb8Vw00XUTMi4iJETGxBf2aWYPqCrukYRRBXxARPwKIiC0R8XpE7AG+DZzUvjbNrFk1wy5JwHeAVRHx1YrhfRWjfRxY0fr2zKxV6jkafypwAbBc0iNp2OXA+ZImUJyOWw98ti0dWlMeffTR0vqUKVNK69u2bWtlO9ZF9RyNvx/QACWfUzcbQvwNOrNMOOxmmXDYzTLhsJtlwmE3y4TDbpYJdfKWu5J8f1+zNouIgU6Ve81ulguH3SwTDrtZJhx2s0w47GaZcNjNMuGwm2Wi07dsfh54uuL1qDSsF/Vqb73aF7i3RrWyt3HVCh39Us2b3lxa2qt/m65Xe+vVvsC9NapTvXkz3iwTDrtZJrod9nldfv8yvdpbr/YF7q1RHemtq/vsZtY53V6zm1mHOOxmmehK2CWdJWm1pDWSLutGD9VIWi9puaRHun1/unQPva2SVlQMGylpkaSn0s8B77HXpd7mSNqUlt0jkqZ2qbcxku6V9LiklZL+Kg3v6rIr6asjy63j++ySDgCeBD4CbAQeBs6PiMc72kgVktYDEyOi61/AkPRhYCdwQ0R8IA27EtgWEf+cPihHRMTf9Uhvc4Cd3b6Nd7pbUV/lbcaBc4AL6eKyK+nrXDqw3LqxZj8JWBMR6yLiNeAmYFoX+uh5EbEE2PeWLNOA+en5fIr/LB1XpbeeEBH9EfGL9HwHsPc2411ddiV9dUQ3wn4EsKHi9UZ6637vAdwtaZmkmd1uZgCjI6I/Pd8MjO5mMwOoeRvvTtrnNuM9s+wauf15s3yA7s0mRcTxwEeBi9Pmak+KYh+sl86d1nUb704Z4Dbjv9bNZdfo7c+b1Y2wbwLGVLx+VxrWEyJiU/q5FbiF3rsV9Za9d9BNP7d2uZ9f66XbeA90m3F6YNl18/bn3Qj7w8CRkt4t6W3AecBtXejjTSQdlA6cIOkg4Ex671bUtwEz0vMZwI+72Msb9MptvKvdZpwuL7uu3/48Ijr+AKZSHJFfC3y+Gz1U6es9wKPpsbLbvQHfp9is20VxbOPPgEOBxcBTwH8BI3uot+8Cy4HHKILV16XeJlFsoj8GPJIeU7u97Er66shy89dlzTLhA3RmmXDYzTLhsJtlwmE3y4TDbpYJh90sEw67WSb+HwnvqBsLsBuPAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 131, Iteration: 0, loss: -0.9535870552062988\n",
            "Epoch: 131, Iteration: 1000, loss: -0.9148484468460083\n",
            "Epoch: 131, Iteration: 2000, loss: -0.9095450043678284\n",
            "Epoch: 131, Iteration: 3000, loss: -0.905213475227356\n",
            "Epoch: 132, Iteration: 0, loss: -0.33482494950294495\n",
            "Epoch: 132, Iteration: 1000, loss: -0.8325675129890442\n",
            "Epoch: 132, Iteration: 2000, loss: -0.8907997608184814\n",
            "Epoch: 132, Iteration: 3000, loss: -0.7234308123588562\n",
            "Epoch: 133, Iteration: 0, loss: -0.8703380823135376\n",
            "Epoch: 133, Iteration: 1000, loss: -0.910957932472229\n",
            "Epoch: 133, Iteration: 2000, loss: -0.9014557600021362\n",
            "Epoch: 133, Iteration: 3000, loss: -0.9104790091514587\n",
            "Epoch: 134, Iteration: 0, loss: -0.9236093163490295\n",
            "Epoch: 134, Iteration: 1000, loss: -0.7517746686935425\n",
            "Epoch: 134, Iteration: 2000, loss: -0.1779310554265976\n",
            "Epoch: 134, Iteration: 3000, loss: -0.9162712693214417\n",
            "Epoch: 135, Iteration: 0, loss: -0.8714489340782166\n",
            "Epoch: 135, Iteration: 1000, loss: -0.8900827169418335\n",
            "Epoch: 135, Iteration: 2000, loss: -0.9047024846076965\n",
            "Epoch: 135, Iteration: 3000, loss: -0.9514923095703125\n",
            "Iteration: 3749, loss: -0.766130805015564\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 136, Iteration: 0, loss: -0.5677484273910522\n",
            "Epoch: 136, Iteration: 1000, loss: -0.7879886627197266\n",
            "Epoch: 136, Iteration: 2000, loss: -0.9039504528045654\n",
            "Epoch: 136, Iteration: 3000, loss: -0.8789336681365967\n",
            "Epoch: 137, Iteration: 0, loss: -0.8948436975479126\n",
            "Epoch: 137, Iteration: 1000, loss: -0.862449049949646\n",
            "Epoch: 137, Iteration: 2000, loss: -0.8762389421463013\n",
            "Epoch: 137, Iteration: 3000, loss: -0.9283078908920288\n",
            "Epoch: 138, Iteration: 0, loss: -0.8798906803131104\n",
            "Epoch: 138, Iteration: 1000, loss: -0.9856688380241394\n",
            "Epoch: 138, Iteration: 2000, loss: -0.021249165758490562\n",
            "Epoch: 138, Iteration: 3000, loss: -0.8696454763412476\n",
            "Epoch: 139, Iteration: 0, loss: -0.9156578183174133\n",
            "Epoch: 139, Iteration: 1000, loss: -0.8522846698760986\n",
            "Epoch: 139, Iteration: 2000, loss: -0.9398629069328308\n",
            "Epoch: 139, Iteration: 3000, loss: -0.9441626667976379\n",
            "Epoch: 140, Iteration: 0, loss: 0.11119391024112701\n",
            "Epoch: 140, Iteration: 1000, loss: -0.9153474569320679\n",
            "Epoch: 140, Iteration: 2000, loss: -0.6483872532844543\n",
            "Epoch: 140, Iteration: 3000, loss: -0.7440232634544373\n",
            "Iteration: 3749, loss: -0.9585298895835876\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 141, Iteration: 0, loss: -0.9632449746131897\n",
            "Epoch: 141, Iteration: 1000, loss: -0.7000031471252441\n",
            "Epoch: 141, Iteration: 2000, loss: -0.890151858329773\n",
            "Epoch: 141, Iteration: 3000, loss: -0.8159934282302856\n",
            "Epoch: 142, Iteration: 0, loss: -0.8872663974761963\n",
            "Epoch: 142, Iteration: 1000, loss: -0.9811722636222839\n",
            "Epoch: 142, Iteration: 2000, loss: -0.9350088834762573\n",
            "Epoch: 142, Iteration: 3000, loss: -0.8366863131523132\n",
            "Epoch: 143, Iteration: 0, loss: -0.3620999753475189\n",
            "Epoch: 143, Iteration: 1000, loss: -0.6407277584075928\n",
            "Epoch: 143, Iteration: 2000, loss: -0.9028621315956116\n",
            "Epoch: 143, Iteration: 3000, loss: -0.8690559267997742\n",
            "Epoch: 144, Iteration: 0, loss: -0.890152633190155\n",
            "Epoch: 144, Iteration: 1000, loss: -0.9036546945571899\n",
            "Epoch: 144, Iteration: 2000, loss: -0.8581315279006958\n",
            "Epoch: 144, Iteration: 3000, loss: -0.9142535924911499\n",
            "Epoch: 145, Iteration: 0, loss: -0.9692147970199585\n",
            "Epoch: 145, Iteration: 1000, loss: -0.9684497117996216\n",
            "Epoch: 145, Iteration: 2000, loss: -0.8814217448234558\n",
            "Epoch: 145, Iteration: 3000, loss: -0.9086692333221436\n",
            "Iteration: 3749, loss: -0.9228610396385193\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 146, Iteration: 0, loss: -0.9570428729057312\n",
            "Epoch: 146, Iteration: 1000, loss: -0.9214285612106323\n",
            "Epoch: 146, Iteration: 2000, loss: -0.9778831601142883\n",
            "Epoch: 146, Iteration: 3000, loss: -0.9423750042915344\n",
            "Epoch: 147, Iteration: 0, loss: -0.9379183650016785\n",
            "Epoch: 147, Iteration: 1000, loss: -0.9615604281425476\n",
            "Epoch: 147, Iteration: 2000, loss: -0.9549970030784607\n",
            "Epoch: 147, Iteration: 3000, loss: -0.9052844047546387\n",
            "Epoch: 148, Iteration: 0, loss: -0.8068268299102783\n",
            "Epoch: 148, Iteration: 1000, loss: -0.9718320369720459\n",
            "Epoch: 148, Iteration: 2000, loss: -0.9416017532348633\n",
            "Epoch: 148, Iteration: 3000, loss: -0.9048960208892822\n",
            "Epoch: 149, Iteration: 0, loss: -0.9955254793167114\n",
            "Epoch: 149, Iteration: 1000, loss: -0.9569504857063293\n",
            "Epoch: 149, Iteration: 2000, loss: -0.9606723785400391\n",
            "Epoch: 149, Iteration: 3000, loss: -0.6667581796646118\n",
            "Epoch: 150, Iteration: 0, loss: -0.8969377875328064\n",
            "Epoch: 150, Iteration: 1000, loss: -0.883579671382904\n",
            "Epoch: 150, Iteration: 2000, loss: -0.9156448245048523\n",
            "Epoch: 150, Iteration: 3000, loss: -0.929928183555603\n",
            "Iteration: 3749, loss: -0.9726415872573853\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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tyrLHqcZjHT1mLEfzMHC1u58GnAlcaWanASuAR939FODR4nsR6VHRZHf3He7+dPF4L7AZmAtcCtxVvOwu4LKqOiki6d7WdZKZLQDeBzwJzHb3HUXoBRqX+SLSo8Z8b7yZTQW+D3zO3V9tfv/s7m5mLd/kmNkAMFA8TuutiLRtTGd2M5tII9Hvcff7i6d3mtmcIj4H2NWqrbsPuvtCd1+oZBepTzTZrZGhtwOb3f3GptAaYHnxeDnww853T0Q6ZSyX8X8CXA48Z2YbiudWAl8GvmdmVwDPA0vHssOqzu5VD0kMlddi+46V1mJDOWPDSBcsWFAaO/bYY4NtlyxZEozHrF+/PhhftWpVaSw0NBfiw3Pl7Ykmu7v/FCj7bQ5PGi4iPUN30IlkQskukgklu0gmlOwimVCyi2RCyS6SiZ6aSjomZchjlXX4WNuDBw8G45MnTw7GZ82aFYyfd955pbHrrrsu2DZm5cqVwfg3vvGNYHzKlCmlsX379rXVp3e6qn4XdWYXyYSSXSQTSnaRTCjZRTKhZBfJhJJdJBNKdpFMdL3OnjIlcyweEptSObbtUL9jddFJkyYF47E6+4svvhiMf/CDH2x738cff3ww/vjjjwfjsZ89VEtPnWNgPM98lLJ0eUiorc7sIplQsotkQskukgklu0gmlOwimVCyi2RCyS6Sia7X2UP17Nh49VBtMlazjdXRq6zZxmrdsXnjr7jiimD8kksuKY3Ffu7Vq1cH4zGxud9DP1udSzJXvc5A6v6raKszu0gmlOwimVCyi2RCyS6SCSW7SCaU7CKZULKLZCJaZzezecB3gNmAA4PufrOZXQ/8NXBksPVKd38opTOx2maovhhrm1o3Tanxx+aNP/nkk4PxGTNmBONTp04tja1bty7Y9swzzwzGr7rqqmA8toZ6yvwFVdbh666jV7lOQZmx3FRzGLja3Z82s2nAz81sbRH7urvf0NaeRaSrosnu7juAHcXjvWa2GZhbdcdEpLPe1nWSmS0A3gc8WTz1WTN71szuMLPjStoMmNl6M1tf9aWTiJQbc7Kb2VTg+8Dn3P1V4BbgPcDpNM78X2vVzt0H3X2huy8cz3OGiYx3Y0p2M5tII9Hvcff7Adx9p7uPuPsocCuwqLpuikiqaLJb43R8O7DZ3W9sen5O08s+DGzsfPdEpFNsDOWus4DHgeeAI7WSlcAyGpfwDgwBny4+zCvV19fn/f39oX0F+5Iy/W7q5wWhqahHRkaSth1zwgknBOPHHHNMaSz2c+/evTsY37NnTzCeMnQ4tVw6nt8WpvQ9dFyGh4cZGRlpufGxfBr/U6BV46Sauoh0l+6gE8mEkl0kE0p2kUwo2UUyoWQXyYSSXSQT0Tp7J8Xq7ClDGmM/R+pwyapr6VWJ1cFjxy221HVMylLXqVLuy6izhp9yXPbv319aZ9eZXSQTSnaRTCjZRTKhZBfJhJJdJBNKdpFMKNlFMtHVOruZvQg83/TUTOClrnXg7enVvvVqv0B9a1cn+zbf3We1CnQ12d+y88YklAtr60BAr/atV/sF6lu7utU3XcaLZELJLpKJupN9sOb9h/Rq33q1X6C+tasrfav1PbuIdE/dZ3YR6RIlu0gmakl2M7vAzP7HzH5lZivq6EMZMxsys+fMbIOZra+5L3eY2S4z29j03AwzW2tmvyz+bbnGXk19u97MthfHboOZXVRT3+aZ2Toz+4WZbTKzq4rnaz12gX515bh1/T27mfUB/wssAbYBPwOWufsvutqREmY2BCx099pvwDCzPwVeA77j7n9YPPcVYLe7f7n4Q3mcu3++R/p2PfBa3ct4F6sVzWleZhy4DPgUNR67QL+W0oXjVseZfRHwK3ff4u4HgXuBS2voR89z98eANy/ZcilwV/H4Lhq/LF1X0ree4O473P3p4vFe4Mgy47Ueu0C/uqKOZJ8LbG36fhu9td67A4+Y2c/NbKDuzrQwu2mZrReA2XV2poXoMt7d9KZlxnvm2LWz/HkqfUD3Vme5+x8BFwJXFperPckb78F6qXY6pmW8u6XFMuO/U+exa3f581R1JPt2YF7T9ycWz/UEd99e/LsLeIDeW4p655EVdIt/d9Xcn9/ppWW8Wy0zTg8cuzqXP68j2X8GnGJm7zazScDHgTU19OMtzOyY4oMTzOwY4Hx6bynqNcDy4vFy4Ic19uUNemUZ77Jlxqn52NW+/Lm7d/0LuIjGJ/K/Bq6pow8l/ToZeKb42lR334DVNC7rDtH4bOMK4F3Ao8AvgR8DM3qob/9OY2nvZ2kk1pya+nYWjUv0Z4ENxddFdR+7QL+6ctx0u6xIJvQBnUgmlOwimVCyi2RCyS6SCSW7SCaU7CKZULKLZOL/Aev7oEqPb4KRAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 151, Iteration: 0, loss: -0.8556662797927856\n",
            "Epoch: 151, Iteration: 1000, loss: -0.9251181483268738\n",
            "Epoch: 151, Iteration: 2000, loss: -0.9227201342582703\n",
            "Epoch: 151, Iteration: 3000, loss: -0.9574951529502869\n",
            "Epoch: 152, Iteration: 0, loss: -0.9458497762680054\n",
            "Epoch: 152, Iteration: 1000, loss: -0.8274251222610474\n",
            "Epoch: 152, Iteration: 2000, loss: -0.974302351474762\n",
            "Epoch: 152, Iteration: 3000, loss: -0.9475991725921631\n",
            "Epoch: 153, Iteration: 0, loss: -0.709168553352356\n",
            "Epoch: 153, Iteration: 1000, loss: -0.8701809644699097\n",
            "Epoch: 153, Iteration: 2000, loss: -0.8986565470695496\n",
            "Epoch: 153, Iteration: 3000, loss: -0.9335991144180298\n",
            "Epoch: 154, Iteration: 0, loss: -0.9312415719032288\n",
            "Epoch: 154, Iteration: 1000, loss: -0.9523004293441772\n",
            "Epoch: 154, Iteration: 2000, loss: -1.041155219078064\n",
            "Epoch: 154, Iteration: 3000, loss: -0.8742237091064453\n",
            "Epoch: 155, Iteration: 0, loss: -0.9474645256996155\n",
            "Epoch: 155, Iteration: 1000, loss: -0.8626219034194946\n",
            "Epoch: 155, Iteration: 2000, loss: -0.9833037853240967\n",
            "Epoch: 155, Iteration: 3000, loss: -0.8792590498924255\n",
            "Iteration: 3749, loss: -0.9229244589805603\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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wm2XCYTfLhMNulgmH3SwTPs8+BEyaNKm0PmvWrA51YkOZ1+xmmXDYzTLhsJtlwmE3y4TDbpYJh90sEw67WSZqnmeXNAa4ARgNBDAvIr4uaQ5wEfBcGvXyiLizXY3m7LTTTiutDx8+vOF5r127trS+c+fOhudtvaWeL9XsBi6NiF9IOhhYJmlRqn0tIr7SvvbMrFVqhj0i+oH+9HyHpFXAEe1uzMxaa1D77JLGA8cBD6VBl0h6TNJ1kkZUmWampKWSljbVqZk1pe6wSxoOLAQ+FxEvAXOB9wITKNb8Vw00XUTMi4iJETGxBf2aWYPqCrukYRRBXxARPwKIiC0R8XpE7AG+DZzUvjbNrFk1wy5JwHeAVRHx1YrhfRWjfRxY0fr2zKxV6jkafypwAbBc0iNp2OXA+ZImUJyOWw98ti0dWlMeffTR0vqUKVNK69u2bWtlO9ZF9RyNvx/QACWfUzcbQvwNOrNMOOxmmXDYzTLhsJtlwmE3y4TDbpYJdfKWu5J8f1+zNouIgU6Ve81ulguH3SwTDrtZJhx2s0w47GaZcNjNMuGwm2Wi07dsfh54uuL1qDSsF/Vqb73aF7i3RrWyt3HVCh39Us2b3lxa2qt/m65Xe+vVvsC9NapTvXkz3iwTDrtZJrod9nldfv8yvdpbr/YF7q1RHemtq/vsZtY53V6zm1mHOOxmmehK2CWdJWm1pDWSLutGD9VIWi9puaRHun1/unQPva2SVlQMGylpkaSn0s8B77HXpd7mSNqUlt0jkqZ2qbcxku6V9LiklZL+Kg3v6rIr6asjy63j++ySDgCeBD4CbAQeBs6PiMc72kgVktYDEyOi61/AkPRhYCdwQ0R8IA27EtgWEf+cPihHRMTf9Uhvc4Cd3b6Nd7pbUV/lbcaBc4AL6eKyK+nrXDqw3LqxZj8JWBMR6yLiNeAmYFoX+uh5EbEE2PeWLNOA+en5fIr/LB1XpbeeEBH9EfGL9HwHsPc2411ddiV9dUQ3wn4EsKHi9UZ6637vAdwtaZmkmd1uZgCjI6I/Pd8MjO5mMwOoeRvvTtrnNuM9s+wauf15s3yA7s0mRcTxwEeBi9Pmak+KYh+sl86d1nUb704Z4Dbjv9bNZdfo7c+b1Y2wbwLGVLx+VxrWEyJiU/q5FbiF3rsV9Za9d9BNP7d2uZ9f66XbeA90m3F6YNl18/bn3Qj7w8CRkt4t6W3AecBtXejjTSQdlA6cIOkg4Ex671bUtwEz0vMZwI+72Msb9MptvKvdZpwuL7uu3/48Ijr+AKZSHJFfC3y+Gz1U6es9wKPpsbLbvQHfp9is20VxbOPPgEOBxcBTwH8BI3uot+8Cy4HHKILV16XeJlFsoj8GPJIeU7u97Er66shy89dlzTLhA3RmmXDYzTLhsJtlwmE3y4TDbpYJh90sEw67WSb+HwnvqBsLsBuPAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 156, Iteration: 0, loss: -0.8459614515304565\n",
            "Epoch: 156, Iteration: 1000, loss: -0.9437819719314575\n",
            "Epoch: 156, Iteration: 2000, loss: -0.9159619808197021\n",
            "Epoch: 156, Iteration: 3000, loss: -0.9458203315734863\n",
            "Epoch: 157, Iteration: 0, loss: -0.8751646876335144\n",
            "Epoch: 157, Iteration: 1000, loss: -0.8790491223335266\n",
            "Epoch: 157, Iteration: 2000, loss: -0.9137270450592041\n",
            "Epoch: 157, Iteration: 3000, loss: -0.3193368911743164\n",
            "Epoch: 158, Iteration: 0, loss: -0.954965353012085\n",
            "Epoch: 158, Iteration: 1000, loss: -0.9430322647094727\n",
            "Epoch: 158, Iteration: 2000, loss: -0.8794412612915039\n",
            "Epoch: 158, Iteration: 3000, loss: -0.6845319271087646\n",
            "Epoch: 159, Iteration: 0, loss: -0.9084798097610474\n",
            "Epoch: 159, Iteration: 1000, loss: -0.9859181046485901\n",
            "Epoch: 159, Iteration: 2000, loss: -0.8153300285339355\n",
            "Epoch: 159, Iteration: 3000, loss: -0.900494396686554\n",
            "Epoch: 160, Iteration: 0, loss: -0.8761311769485474\n",
            "Epoch: 160, Iteration: 1000, loss: -0.9055416584014893\n",
            "Epoch: 160, Iteration: 2000, loss: -0.9355508089065552\n",
            "Epoch: 160, Iteration: 3000, loss: -0.9301102757453918\n",
            "Iteration: 3749, loss: -0.9195236563682556\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 161, Iteration: 0, loss: -0.9268917441368103\n",
            "Epoch: 161, Iteration: 1000, loss: -0.9538359642028809\n",
            "Epoch: 161, Iteration: 2000, loss: -0.9738680720329285\n",
            "Epoch: 161, Iteration: 3000, loss: -0.9836965799331665\n",
            "Epoch: 162, Iteration: 0, loss: -0.7309780716896057\n",
            "Epoch: 162, Iteration: 1000, loss: -0.9178897738456726\n",
            "Epoch: 162, Iteration: 2000, loss: -0.9456323981285095\n",
            "Epoch: 162, Iteration: 3000, loss: -0.9040921926498413\n",
            "Epoch: 163, Iteration: 0, loss: -0.9171660542488098\n",
            "Epoch: 163, Iteration: 1000, loss: -0.9234898686408997\n",
            "Epoch: 163, Iteration: 2000, loss: -0.9376736879348755\n",
            "Epoch: 163, Iteration: 3000, loss: -0.962437093257904\n",
            "Epoch: 164, Iteration: 0, loss: -0.9324556589126587\n",
            "Epoch: 164, Iteration: 1000, loss: -0.9815877079963684\n",
            "Epoch: 164, Iteration: 2000, loss: -0.8918488025665283\n",
            "Epoch: 164, Iteration: 3000, loss: -1.012149453163147\n",
            "Epoch: 165, Iteration: 0, loss: -0.9002172350883484\n",
            "Epoch: 165, Iteration: 1000, loss: -0.9305286407470703\n",
            "Epoch: 165, Iteration: 2000, loss: -0.9302331805229187\n",
            "Epoch: 165, Iteration: 3000, loss: -0.9873508214950562\n",
            "Iteration: 3749, loss: -0.9432280659675598\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 166, Iteration: 0, loss: -0.9103491306304932\n",
            "Epoch: 166, Iteration: 1000, loss: -0.8028546571731567\n",
            "Epoch: 166, Iteration: 2000, loss: -0.8872818350791931\n",
            "Epoch: 166, Iteration: 3000, loss: -0.9282394647598267\n",
            "Epoch: 167, Iteration: 0, loss: -0.8694419860839844\n",
            "Epoch: 167, Iteration: 1000, loss: -0.811424970626831\n",
            "Epoch: 167, Iteration: 2000, loss: -0.9381877183914185\n",
            "Epoch: 167, Iteration: 3000, loss: 0.6066246032714844\n",
            "Epoch: 168, Iteration: 0, loss: -0.9518124461174011\n",
            "Epoch: 168, Iteration: 1000, loss: -0.8682525753974915\n",
            "Epoch: 168, Iteration: 2000, loss: -0.8974889516830444\n",
            "Epoch: 168, Iteration: 3000, loss: -0.9315223693847656\n",
            "Epoch: 169, Iteration: 0, loss: -0.8654168248176575\n",
            "Epoch: 169, Iteration: 1000, loss: -1.0198079347610474\n",
            "Epoch: 169, Iteration: 2000, loss: -0.9658731818199158\n",
            "Epoch: 169, Iteration: 3000, loss: -1.004186749458313\n",
            "Epoch: 170, Iteration: 0, loss: -0.9086140394210815\n",
            "Epoch: 170, Iteration: 1000, loss: -0.9772515892982483\n",
            "Epoch: 170, Iteration: 2000, loss: -0.9251697063446045\n",
            "Epoch: 170, Iteration: 3000, loss: -0.98381507396698\n",
            "Iteration: 3749, loss: -0.8653815388679504\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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kJAC3AHjJzCYAeCn7v4i0qGCym9kWM+vMHu8G8B6AMQBmAFiYfdtCAJc1qpMiEu+w3rOTPBnAFABvABhlZluy0CcoXeaLSIuq+t54kkMB/A7A98xsV/l7ZDMzkhXfSJCcA2BO9jiutyJSs6rO7CQHoJToj5rZ77Ont5IcncVHA9hWqa2ZLTCzDjPrULKLFCeY7Cxl6EMA3jOz+8pCzwCYlT2eBSD/Y1cRKVw1l/HfBDATwEqSK7LnbgVwF4AnSF4H4GMAV1azQ+/sHlPuCJWIQkJXHb29vbkxb4gpEB4OGbuctCd0XELTWJ9yyilu/LXXXnPjb7/9dm4sNHS3lTV66nJPrVfIwWQ3s9cB5G39opr2KiJNpzvoRBKhZBdJhJJdJBFKdpFEKNlFEqFkF0lES00lXaSYummoXhxbkx00aJAbP/XUU3Njs2fPdttOnDjRjX/++edu/I033nDjmzdvzo2FjktfvuOykXX0Rg5xFZEjgJJdJBFKdpFEKNlFEqFkF0mEkl0kEUp2kUQ0vc7uje0usq4aU9sMtY1dnre7u9uNT5o0KTd2/fXXu21D0zl3dna68bfeesuN7927NzcWW09u5O/sSLwHQGd2kUQo2UUSoWQXSYSSXSQRSnaRRCjZRRKhZBdJRNPr7H2xPgnE9Tu2pjt27Fg3PmXKlMPu00HDhg1z4++++64bf/311924N299T0+P2zb2tdKoNQpC247dfmidgVrv29CZXSQRSnaRRCjZRRKhZBdJhJJdJBFKdpFEKNlFEhGss5McC2ARgFEADMACM7uf5HwAfwVge/att5rZs6HtxYwxbqRQXdSLx67F3d7e7sZPOOEEN37zzTfnxkJz2q9fv96NL1++3I2HeDXj2OPWinOz10PouHjH1Ot3NTfV7Acw18w6SQ4DsIzk4iz2EzO7p4ptiEjBgsluZlsAbMke7yb5HoAxje6YiNTXYb1nJ3kygCkADq75cxPJd0g+TPLYnDZzSC4lubTISyOR1FWd7CSHAvgdgO+Z2S4ADwI4FcBklM7891ZqZ2YLzKzDzDr66n3xIkeCqpKd5ACUEv1RM/s9AJjZVjPrNbMDAH4BYGrjuikisYLJztLp+CEA75nZfWXPjy77tm8DWFX/7olIvVTzafw3AcwEsJLkiuy5WwFcRXIySuW4dQC+W80Oi7qUjylnAH6/Q21D9u3b58YvuOCCmrcdGqK6ZMkSN75s2TI3PnDgQDfe29ubGwuVBfvq1OKxYqax9mLVfBr/OoBKWwjW1EWkdegOOpFEKNlFEqFkF0mEkl0kEUp2kUQo2UUSwWber97W1maDBw/O70xEXTX25wi19+rF/fvHzcgdqlV3dXW58ZgloUeOHOnGd+3a5cZD9wjE/E69Yw7EDZEt+tbtRuVdd3c3ent7K/5wOrOLJELJLpIIJbtIIpTsIolQsoskQskukgglu0gimlpnJ7kdwMdlT40E8GnTOnB4WrVvrdovQH2rVT37Nt7MjqsUaGqyf2XnpUkoOwrrgKNV+9aq/QLUt1o1q2+6jBdJhJJdJBFFJ/uCgvfvadW+tWq/APWtVk3pW6Hv2UWkeYo+s4tIkyjZRRJRSLKTnEbyv0l+QPKWIvqQh+Q6kitJriC5tOC+PExyG8lVZc8NJ7mY5Jrs34pr7BXUt/kkN2XHbgXJ6QX1bSzJV0i+S3I1yb/Jni/02Dn9aspxa/p7dpJtAP4HwJ8C2AjgLQBXmZm/mkGTkFwHoMPMCr8Bg+T5APYAWGRmZ2TP/RjADjO7K/tDeayZfb9F+jYfwJ6il/HOVisaXb7MOIDLAFyLAo+d068r0YTjVsSZfSqAD8xsrZntA/BbADMK6EfLM7NXAew45OkZABZmjxei9GJpupy+tQQz22Jmndnj3QAOLjNe6LFz+tUURST7GAAbyv6/Ea213rsBeIHkMpJziu5MBaPMbEv2+BMAo4rsTAXBZbyb6ZBlxlvm2NWy/HksfUD3Veea2R8BuATAjdnlakuy0nuwVqqdVrWMd7NUWGb8C0Ueu1qXP49VRLJvAjC27P8nZc+1BDPblP27DcBTaL2lqLceXEE3+3dbwf35Qist411pmXG0wLErcvnzIpL9LQATSH6NZDuA7wB4poB+fAXJo7IPTkDyKADfQustRf0MgFnZ41kAni6wL1/SKst45y0zjoKPXeHLn5tZ078ATEfpE/kPAdxWRB9y+nUKgLezr9VF9w3AYyhd1vWg9NnGdQBGAHgJwBoALwIY3kJ9+xcAKwG8g1JijS6ob+eidIn+DoAV2df0oo+d06+mHDfdLiuSCH1AJ5IIJbtIIpTsIolQsoskQskukgglu0gilOwiifh/zvGLCoWrAmcAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 171, Iteration: 0, loss: -0.8943753838539124\n",
            "Epoch: 171, Iteration: 1000, loss: -0.9451563358306885\n",
            "Epoch: 171, Iteration: 2000, loss: -0.91456139087677\n",
            "Epoch: 171, Iteration: 3000, loss: -0.9447081685066223\n",
            "Epoch: 172, Iteration: 0, loss: -1.0136500597000122\n",
            "Epoch: 172, Iteration: 1000, loss: -0.9684850573539734\n",
            "Epoch: 172, Iteration: 2000, loss: -0.926464855670929\n",
            "Epoch: 172, Iteration: 3000, loss: -0.6035178303718567\n",
            "Epoch: 173, Iteration: 0, loss: -0.9140318036079407\n",
            "Epoch: 173, Iteration: 1000, loss: -0.9387054443359375\n",
            "Epoch: 173, Iteration: 2000, loss: -0.9287540316581726\n",
            "Epoch: 173, Iteration: 3000, loss: -0.9577640295028687\n",
            "Epoch: 174, Iteration: 0, loss: -0.9268651604652405\n",
            "Epoch: 174, Iteration: 1000, loss: -0.9605937004089355\n",
            "Epoch: 174, Iteration: 2000, loss: -0.8981052041053772\n",
            "Epoch: 174, Iteration: 3000, loss: -0.9714965224266052\n",
            "Epoch: 175, Iteration: 0, loss: -0.9256352782249451\n",
            "Epoch: 175, Iteration: 1000, loss: -0.976536750793457\n",
            "Epoch: 175, Iteration: 2000, loss: -0.9871799349784851\n",
            "Epoch: 175, Iteration: 3000, loss: -0.9751429557800293\n",
            "Iteration: 3749, loss: -0.9225847721099854\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 176, Iteration: 0, loss: -0.931504487991333\n",
            "Epoch: 176, Iteration: 1000, loss: -0.9270517230033875\n",
            "Epoch: 176, Iteration: 2000, loss: -0.7239541411399841\n",
            "Epoch: 176, Iteration: 3000, loss: -0.8331604599952698\n",
            "Epoch: 177, Iteration: 0, loss: -0.9715996980667114\n",
            "Epoch: 177, Iteration: 1000, loss: -0.9489198327064514\n",
            "Epoch: 177, Iteration: 2000, loss: -0.9652470946311951\n",
            "Epoch: 177, Iteration: 3000, loss: -0.9423757195472717\n",
            "Epoch: 178, Iteration: 0, loss: -0.7809805870056152\n",
            "Epoch: 178, Iteration: 1000, loss: -0.9553650617599487\n",
            "Epoch: 178, Iteration: 2000, loss: -0.8304634094238281\n",
            "Epoch: 178, Iteration: 3000, loss: -0.8556949496269226\n",
            "Epoch: 179, Iteration: 0, loss: -0.9745654463768005\n",
            "Epoch: 179, Iteration: 1000, loss: -1.0017043352127075\n",
            "Epoch: 179, Iteration: 2000, loss: -0.9458595514297485\n",
            "Epoch: 179, Iteration: 3000, loss: -0.8947479128837585\n",
            "Epoch: 180, Iteration: 0, loss: -0.8793931603431702\n",
            "Epoch: 180, Iteration: 1000, loss: -0.9062933325767517\n",
            "Epoch: 180, Iteration: 2000, loss: -0.964222252368927\n",
            "Epoch: 180, Iteration: 3000, loss: -0.9493386149406433\n",
            "Iteration: 3749, loss: -0.898672878742218\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 181, Iteration: 0, loss: -0.9252769351005554\n",
            "Epoch: 181, Iteration: 1000, loss: -0.8419241309165955\n",
            "Epoch: 181, Iteration: 2000, loss: -0.9016721844673157\n",
            "Epoch: 181, Iteration: 3000, loss: -0.8683223128318787\n",
            "Epoch: 182, Iteration: 0, loss: -0.8206081390380859\n",
            "Epoch: 182, Iteration: 1000, loss: -0.8380983471870422\n",
            "Epoch: 182, Iteration: 2000, loss: -0.9786569476127625\n",
            "Epoch: 182, Iteration: 3000, loss: -0.9116092324256897\n",
            "Epoch: 183, Iteration: 0, loss: -0.580195963382721\n",
            "Epoch: 183, Iteration: 1000, loss: -0.9678077697753906\n",
            "Epoch: 183, Iteration: 2000, loss: -0.9498993754386902\n",
            "Epoch: 183, Iteration: 3000, loss: -0.8876718282699585\n",
            "Epoch: 184, Iteration: 0, loss: -0.8654463291168213\n",
            "Epoch: 184, Iteration: 1000, loss: -0.9786232709884644\n",
            "Epoch: 184, Iteration: 2000, loss: -0.590282678604126\n",
            "Epoch: 184, Iteration: 3000, loss: -0.7528928518295288\n",
            "Epoch: 185, Iteration: 0, loss: -0.9787358641624451\n",
            "Epoch: 185, Iteration: 1000, loss: -0.9787003993988037\n",
            "Epoch: 185, Iteration: 2000, loss: -0.9456340074539185\n",
            "Epoch: 185, Iteration: 3000, loss: -0.9390872120857239\n",
            "Iteration: 3749, loss: -0.92421555519104\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 186, Iteration: 0, loss: -1.0052504539489746\n",
            "Epoch: 186, Iteration: 1000, loss: -0.9583765268325806\n",
            "Epoch: 186, Iteration: 2000, loss: -0.9846309423446655\n",
            "Epoch: 186, Iteration: 3000, loss: -1.0046074390411377\n",
            "Epoch: 187, Iteration: 0, loss: -1.0036574602127075\n",
            "Epoch: 187, Iteration: 1000, loss: -0.9477260112762451\n",
            "Epoch: 187, Iteration: 2000, loss: -0.9236432909965515\n",
            "Epoch: 187, Iteration: 3000, loss: -0.9640263915061951\n",
            "Epoch: 188, Iteration: 0, loss: -0.8718201518058777\n",
            "Epoch: 188, Iteration: 1000, loss: -0.9621124863624573\n",
            "Epoch: 188, Iteration: 2000, loss: -0.8974498510360718\n",
            "Epoch: 188, Iteration: 3000, loss: -0.9788575172424316\n",
            "Epoch: 189, Iteration: 0, loss: -1.0062968730926514\n",
            "Epoch: 189, Iteration: 1000, loss: -0.9525400400161743\n",
            "Epoch: 189, Iteration: 2000, loss: -0.3744194507598877\n",
            "Epoch: 189, Iteration: 3000, loss: -0.958070695400238\n",
            "Epoch: 190, Iteration: 0, loss: -0.5617388486862183\n",
            "Epoch: 190, Iteration: 1000, loss: -0.9369924664497375\n",
            "Epoch: 190, Iteration: 2000, loss: -0.995083749294281\n",
            "Epoch: 190, Iteration: 3000, loss: -1.0019906759262085\n",
            "Iteration: 3749, loss: -0.9236081838607788\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 191, Iteration: 0, loss: -0.9795264601707458\n",
            "Epoch: 191, Iteration: 1000, loss: -0.96871018409729\n",
            "Epoch: 191, Iteration: 2000, loss: -0.940385103225708\n",
            "Epoch: 191, Iteration: 3000, loss: -0.8570802211761475\n",
            "Epoch: 192, Iteration: 0, loss: -0.9648135304450989\n",
            "Epoch: 192, Iteration: 1000, loss: -0.840067446231842\n",
            "Epoch: 192, Iteration: 2000, loss: -0.9090672731399536\n",
            "Epoch: 192, Iteration: 3000, loss: -0.9839465618133545\n",
            "Epoch: 193, Iteration: 0, loss: -0.9471753835678101\n",
            "Epoch: 193, Iteration: 1000, loss: -0.8795996308326721\n",
            "Epoch: 193, Iteration: 2000, loss: -1.0113567113876343\n",
            "Epoch: 193, Iteration: 3000, loss: -0.9648755192756653\n",
            "Epoch: 194, Iteration: 0, loss: -0.8911270499229431\n",
            "Epoch: 194, Iteration: 1000, loss: -0.8524484038352966\n",
            "Epoch: 194, Iteration: 2000, loss: -0.9237463474273682\n",
            "Epoch: 194, Iteration: 3000, loss: -0.9087347388267517\n",
            "Epoch: 195, Iteration: 0, loss: -0.9845010042190552\n",
            "Epoch: 195, Iteration: 1000, loss: -0.9311270713806152\n",
            "Epoch: 195, Iteration: 2000, loss: -0.9831892848014832\n",
            "Epoch: 195, Iteration: 3000, loss: -0.9784456491470337\n",
            "Iteration: 3749, loss: -0.942809522151947\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        },
        {
          "output_type": "stream",
          "text": [
            "Epoch: 196, Iteration: 0, loss: -0.7529045343399048\n",
            "Epoch: 196, Iteration: 1000, loss: -1.0001602172851562\n",
            "Epoch: 196, Iteration: 2000, loss: -0.9080159664154053\n",
            "Epoch: 196, Iteration: 3000, loss: -0.9220436811447144\n",
            "Epoch: 197, Iteration: 0, loss: -0.8972610235214233\n",
            "Epoch: 197, Iteration: 1000, loss: -0.7950249314308167\n",
            "Epoch: 197, Iteration: 2000, loss: -0.9282425045967102\n",
            "Epoch: 197, Iteration: 3000, loss: -0.9762735962867737\n",
            "Epoch: 198, Iteration: 0, loss: -0.9900470972061157\n",
            "Epoch: 198, Iteration: 1000, loss: -1.009383201599121\n",
            "Epoch: 198, Iteration: 2000, loss: -0.9466984868049622\n",
            "Epoch: 198, Iteration: 3000, loss: -0.9757868051528931\n",
            "Epoch: 199, Iteration: 0, loss: -0.9414713382720947\n",
            "Epoch: 199, Iteration: 1000, loss: -0.9496554136276245\n",
            "Epoch: 199, Iteration: 2000, loss: -0.9166637659072876\n",
            "Epoch: 199, Iteration: 3000, loss: -0.9860641956329346\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ZutzkPqNnGGj"
      },
      "source": [
        "loss1, loss2, loss3 = loss"
      ],
      "execution_count": 14,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OXyGjMWiGv_v",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "d41659c6-cf69-4f16-e56f-4750ada50f5b"
      },
      "source": [
        "len(loss1), len(loss2), len(loss3)"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(40, 750000, 750000)"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9rh1qJgM7bJ7",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "0e6bf881-a0c6-4a1a-ec23-186d3d903f25"
      },
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/gdrive')"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Drive already mounted at /content/gdrive; to attempt to forcibly remount, call drive.mount(\"/content/gdrive\", force_remount=True).\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_WEQwOMFmfGp"
      },
      "source": [
        "model_save_name = 'np4d2.pt'\n",
        "path = F\"/content/gdrive/MyDrive/{model_save_name}\" \n",
        "torch.save(np.state_dict(), path)"
      ],
      "execution_count": 17,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "CLGbyj0dK3vY"
      },
      "source": [
        "import pandas as pd"
      ],
      "execution_count": 21,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a_Ij7n32K53m"
      },
      "source": [
        "import numpy"
      ],
      "execution_count": 23,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FOUXe5FfPbHD"
      },
      "source": [
        "df = pd.DataFrame(loss1)"
      ],
      "execution_count": 29,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "O5ybV7TaPsMF"
      },
      "source": [
        "df.to_csv(\"/content/gdrive/MyDrive/nll1.csv\")"
      ],
      "execution_count": 31,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JqnjHuAPQAca",
        "outputId": "6bcfb15e-4dc3-4134-e0d8-f2760ddabd69",
        "colab": {
          "base_uri": "https://localhost:8080/"
        }
      },
      "source": [
        "!ls gdrive/MyDrive"
      ],
      "execution_count": 34,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "'Anschreiben Bot Wohnungsannonce.gdoc'\n",
            " Arbeitsproben.gslides\n",
            "'AWS 3.gslides'\n",
            " AWS_HA1.gdoc\n",
            "'AWS_HA3 (1).gslides'\n",
            "'AWS HA3.gdoc'\n",
            " AWS_HA3.gslides\n",
            "'BALANCE SHEET TEMPLATE.gsheet'\n",
            " Broschüre.gdoc\n",
            "'Colab Notebooks'\n",
            " Customer-Relationship-Manager.gsheet\n",
            " DWBI.gdoc\n",
            "'DWBI L2.gdoc'\n",
            "'DWBI L3.gdoc'\n",
            "'DWBI L5.gdoc'\n",
            "'DWBI L.gdoc'\n",
            " Exposé.pdf\n",
            " Fallstudie.gslides\n",
            "'Geschäftliches Jahresbudget (1).gsheet'\n",
            "'Geschäftliches Jahresbudget.gsheet'\n",
            "'Geschäftsbericht Lukas.gdoc'\n",
            " GKI_HA1_Aufgabe1\n",
            " GKI_HA1_b.pdf\n",
            " GKI_HA1_Teil2.gsheet\n",
            "'Ihre zündende Idee .gslides'\n",
            " layout1-1.png\n",
            "'layout l 2.1.pdf'\n",
            "'layout l 2.2.pdf'\n",
            " ML1.gdoc\n",
            "'Monatsbudget (1).gsheet'\n",
            " Monatsbudget.gsheet\n",
            " nll1.csv\n",
            " np\n",
            " np1d.pt\n",
            " NP2020.gslides\n",
            " np2d2.pt\n",
            " np2d.pt\n",
            " np3d2.pt\n",
            " np4d2.pt\n",
            "'Planspiel Berechnungen (1).gform'\n",
            "'Planspiel Berechnungen.gform'\n",
            "'Planspiel Berechnungen.gsheet'\n",
            "'Planspiel Berechnungen.ods'\n",
            " Quellen.gdoc\n",
            "'RACI Maßnahmen .gsheet'\n",
            "'Scoot - Geschäftsentwicklung.gslides'\n",
            "'Tabellen und Grafiken Geschäftsbericht.gsheet'\n",
            " Template_D1.gdoc\n",
            " Testfälle.gdoc\n",
            " Timeline.gsheet\n",
            "'Unbenannte Präsentation.gslides'\n",
            "'Unbenannte Präsentation - Kreisdiagramm 1.gsheet'\n",
            "'Unbenannte Präsentation - Liniendiagramm 1 (1).gsheet'\n",
            "'Unbenannte Präsentation - Liniendiagramm 1.gsheet'\n",
            "'Unbenannte Präsentation - Liniendiagramm 2.gsheet'\n",
            "'Unbenanntes Dokument.gdoc'\n",
            "'Unbenannte Tabelle (1).gsheet'\n",
            "'Unbenannte Tabelle.gsheet'\n",
            "'Unbenannte Zeichnung.gdraw'\n",
            "'Unternehmensberatungsangebot (1).gslides'\n",
            " Unternehmensberatungsangebot.gslides\n",
            "'Wohnungssuche Berlin.gsheet'\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 164
        },
        "id": "LZDS9CoRjeXC",
        "outputId": "6fe403a2-0bbe-486a-be87-6cd6294e7889"
      },
      "source": [
        "plt.plot(numpy.array(loss1))"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "error",
          "ename": "NameError",
          "evalue": "ignored",
          "traceback": [
            "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
            "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
            "\u001b[0;32m<ipython-input-1-131fc4085f23>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnumpy\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0marray\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mloss1\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m",
            "\u001b[0;31mNameError\u001b[0m: name 'plt' is not defined"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "UxNTne4dmuDt",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "c0119399-04ce-4c7b-ecbb-f925c608e972"
      },
      "source": [
        "plt.plot(loss2)"
      ],
      "execution_count": 35,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fb4d15fb3d0>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 35
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SfsxBRlBmquV",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "outputId": "4da74059-9d51-454d-b716-a027c7628afb"
      },
      "source": [
        "plt.plot(loss3[0:1000])"
      ],
      "execution_count": 20,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[<matplotlib.lines.Line2D at 0x7fb4d69aa8d0>]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 20
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "_yuGusjxmViX"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4NaSGrGH7bJ7"
      },
      "source": [
        "test_set = neural_processes.mnist.preprocess_mnist(test_generator, dev, train=False)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "IwIHkqZ47bJ7"
      },
      "source": [
        "xc, yc, xt, yt = test_set[6]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "npOTG36Q7bJ8"
      },
      "source": [
        "m = torch.zeros(28, 28)\n",
        "x, y = neural_processes.plot.rescale(xt[0], mu.detach()[0], 'cpu')\n",
        "xk, yk = neural_processes.plot.rescale(xc[0], yc[0], 'cpu')\n",
        "\n",
        "num_context = xk.shape[0]\n",
        "\n",
        "for i, val in enumerate(x):\n",
        "    \n",
        "    if i < num_context:\n",
        "      m[val[0], val[1]] = yk[i]\n",
        "    else:\n",
        "      m[val[0], val[1]] = y[i]\n",
        "\n",
        "plt.imshow(m)"
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}