gan-training.ipynb

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\n",
                "text/plain": "<Figure size 576x288 with 2 Axes>"
              }
            ],
            "_view_module": "@jupyter-widgets/output",
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\n",
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            "grid_area": null,
            "grid_template_columns": null,
            "flex": null,
            "_model_name": "LayoutModel",
            "justify_items": null,
            "grid_row": null,
            "max_height": null,
            "align_content": null,
            "visibility": null,
            "align_self": null,
            "height": null,
            "min_height": null,
            "padding": null,
            "grid_auto_rows": null,
            "grid_gap": null,
            "max_width": null,
            "order": null,
            "_view_module_version": "1.2.0",
            "grid_template_areas": null,
            "object_position": null,
            "object_fit": null,
            "grid_auto_columns": null,
            "margin": null,
            "display": null,
            "left": null
          }
        }
      }
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "K-Pi4fqDy9B4"
      },
      "source": [
        "# Is This Normal? Testing the Ability of GANs to Learn a 1D Parametric Distribution\n",
        "\n",
        "Below is the code used as part of training and visualization for the project \"Is This Normal? Testing the Ability of GANs to Learn a 1D Parametric Distribution\"."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "W1zh3XSEus57",
        "outputId": "d9930ffe-778b-46c4-fa38-49fd0f23a3a1"
      },
      "source": [
        "# To save trained models to goodl drive\n",
        "from google.colab import drive\n",
        "drive.mount('/content/drive')\n",
        "\n",
        "# Manually uploaded to Google Colab session storage\n",
        "from gan import *"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Mounted at /content/drive\n"
          ],
          "name": "stdout"
        },
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/statsmodels/tools/_testing.py:19: FutureWarning: pandas.util.testing is deprecated. Use the functions in the public API at pandas.testing instead.\n",
            "  import pandas.util.testing as tm\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sGm86egZxiEl"
      },
      "source": [
        "## 1. Original GAN\n",
        "\n",
        "Original GAN training:\n",
        "* Vanilla generator and discriminator loss\n",
        "* 4-layer MLP for both generator and discriminator\n",
        "* 5:1 critic/discriminator training\n",
        "* Adam with betas (0, 0.9)\n",
        "* Learning rate 1e-5\n",
        "* Batch size 256\n",
        "* 50,000 training iterations"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "-KwHVwGhu240",
        "outputId": "8c1720b6-e169-431a-9e46-6d5681018720"
      },
      "source": [
        "vanilla_generator = gan_model()\n",
        "vanilla_discriminator = gan_model()\n",
        "\n",
        "vanilla_training = train_gan_gp(g_model=vanilla_generator, d_model=vanilla_discriminator, g_loss_func=vanilla_gen_loss, \\\n",
        "                                d_loss_func=critic_loss, n_steps=50000, lr=1e-4, bs=256, gp=0, clip=False, \\\n",
        "                                sample_noise=sample_uniform, sample_true=sample_gaussian, cdf_true=norm_cdf)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "100% (50000 of 50000) |##################| Elapsed Time: 0:14:46 Time:  0:14:46\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GGmTIHNr_t5Q"
      },
      "source": [
        "Below and for all other GANs, I will visualize training dynamics. While this won't be included in the final product, I think it's important to check that training looks normal and that a model isn't inhibited by a dramatically mistuned hyperparameter. The overall purpose of this project is to see the ability of common GANs to learn a distribution, which should assume acceptable model capacity, training iterations, and hyperparameter combinations."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 343,
          "referenced_widgets": [
            "53d29cc8b5b7452ca68d6d7910e198da",
            "dbe1c8d5b8394a2398fcf1e37ebf2ed6",
            "10815ce3a75f487ea798cc9fbe4652e4",
            "96c4a59d90dc480faadacb51f0977562",
            "bf8398421dd241e1adb0ba26fe41e386",
            "be7918ea296941ff9a5c67a87a94976e",
            "8e9a5f2136984fa29708234a3bd5c87c"
          ]
        },
        "id": "oBs8qDZ4_yuP",
        "outputId": "fd8b38a3-d5c6-4f5f-9dae-1ec779fa0694"
      },
      "source": [
        "interact(visualize_training, training_results=fixed(vanilla_training[:3]), \\\n",
        "         iterations = (0,50000,1000), pdf_func=fixed(norm_pdf), xlim=fixed((-3,3)))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "53d29cc8b5b7452ca68d6d7910e198da",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "interactive(children=(IntSlider(value=25000, description='iterations', max=50000, step=1000), Output()), _dom_…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<function gan.visualize_training>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 65
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "me0EporYA9mp"
      },
      "source": [
        "save_gan(vanilla_generator, \"vanilla-gan\")"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 313
        },
        "id": "ohuGVJh16xJP",
        "outputId": "82e80d66-c1b0-484b-9baa-788388290dbb"
      },
      "source": [
        "s = visualize_gan(vanilla_generator, \"Vanilla GAN\", ks_values=vanilla_training[-1])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TK5lynpfEt2G"
      },
      "source": [
        "## 2. Non-saturating GAN\n",
        "\n",
        "Non-saturating GAN training:\n",
        "* Non-saturating generator loss\n",
        "* Otherwise same training setup"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1GnTYe0EzbFo",
        "outputId": "7b6b248f-2400-48bb-bd64-a83e1a542b43"
      },
      "source": [
        "nonsaturating_generator = gan_model()\n",
        "nonsaturating_discriminator = gan_model()\n",
        "\n",
        "nonsaturating_training = train_gan_gp(g_model=nonsaturating_generator, d_model=nonsaturating_discriminator, \\\n",
        "                                      g_loss_func=unsaturating_gen_loss, d_loss_func=critic_loss, n_steps=50000,\n",
        "                                      lr=1e-4, bs=256, gp=0, clip=False, sample_noise=sample_uniform, \\\n",
        "                                      sample_true=sample_gaussian, cdf_true=norm_cdf)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "100% (50000 of 50000) |##################| Elapsed Time: 0:14:52 Time:  0:14:52\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 343,
          "referenced_widgets": [
            "d6351e611bb74c1397e5e52255423b95",
            "f72ebcf9eac54875918c9f384b31d262",
            "55e4cf83bc28434f9ee1ed6b1d2fd5b4",
            "a27ef8b8b33148e285e6c496e8c553c2",
            "cd75a45817e64c488b2336f58713ed11",
            "20da12ec144f4b218bbb43d64bcedd40",
            "32d039d5ddd746c280fac38badc5cf89"
          ]
        },
        "id": "vZHwtN8OJ7mD",
        "outputId": "455cb5e3-efb8-4f83-e1a0-7e1a3122a160"
      },
      "source": [
        "interact(visualize_training, training_results=fixed(nonsaturating_training[:3]), \\\n",
        "         iterations = (0,50000,1000), pdf_func=fixed(norm_pdf), xlim=fixed((-3,3)))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "d6351e611bb74c1397e5e52255423b95",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "interactive(children=(IntSlider(value=25000, description='iterations', max=50000, step=1000), Output()), _dom_…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<function gan.visualize_training>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 78
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fYKs3gNlJ69S"
      },
      "source": [
        "save_gan(nonsaturating_generator, \"nonsaturating-gan\")"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 313
        },
        "id": "_Cm-P0RYLEIF",
        "outputId": "f2ad0255-d653-456c-8e0e-3b8e6baa374e"
      },
      "source": [
        "s = visualize_gan(nonsaturating_generator, \"Non-saturating GAN\", ks_values=nonsaturating_training[-1])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cDhZe2SPLDnG"
      },
      "source": [
        "## 3. Wasserstein GAN\n",
        "\n",
        "Wasserstein GAN training:\n",
        "* Wasserstein critic loss (generates better approximation of Wasserstein distance) and generator loss (descends distance approximation)\n",
        "* Weight clipping (between $[-0.01,0.01]$) for critic model\n",
        "* Otherwise same training setup"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KwzzWNJpMJ--",
        "outputId": "40b6157c-115d-40f2-d5f1-cb2e909696ff"
      },
      "source": [
        "w_generator = gan_model()\n",
        "w_critic = gan_model()\n",
        "\n",
        "w_training = train_gan_gp(w_generator, w_critic, g_loss_func=wgan_gen_loss, d_loss_func=wgan_critic_loss, \\\n",
        "                           n_steps=50000, lr=1e-4, bs=256, gp=10, clip=0.01, sample_noise=sample_uniform, \\\n",
        "                           sample_true=sample_gaussian, cdf_true=norm_cdf)"
      ],
      "execution_count": 2,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "100% (50000 of 50000) |##################| Elapsed Time: 0:19:46 Time:  0:19:46\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "aAQVz5XTMKBZ",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 343,
          "referenced_widgets": [
            "147b8f2acf6443a5815bb8cd57241fef",
            "99a046a4f3804018956677324e2142aa",
            "2f5897f250f740389ea93ba067bc85b1",
            "2b6976af3def46689434d2005e02fb4c",
            "62bcbdcaf4bd47f5afb2623344177420",
            "1a08244132204586a65635000dd6ebec",
            "ea9e154d34264f2795dbba8fc6574fd3"
          ]
        },
        "outputId": "3c317e69-9089-4661-d64d-3888a7379648"
      },
      "source": [
        "interact(visualize_training, training_results=fixed(w_training[:3]), \\\n",
        "         iterations = (0,50000,1000), pdf_func=fixed(norm_pdf), xlim=fixed((-3,3)))"
      ],
      "execution_count": 3,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "147b8f2acf6443a5815bb8cd57241fef",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "interactive(children=(IntSlider(value=25000, description='iterations', max=50000, step=1000), Output()), _dom_…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<function gan.visualize_training>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Mk_2rLifMKDi"
      },
      "source": [
        "save_gan(w_generator, \"wasserstein-gan\")"
      ],
      "execution_count": 4,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2t8opujTl2rf",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 313
        },
        "outputId": "fc7db8c5-d53c-461c-c9e7-7945ce2d2095"
      },
      "source": [
        "s = visualize_gan(w_generator, \"Wasserstein GAN\", ks_values=w_training[-1])"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AvYpEvYAMKRT"
      },
      "source": [
        "## 4. GAN with Gradient Penalty\n",
        "\n",
        "GAN with gradient penalty training:\n",
        "* Non-saturating generator loss\n",
        "* Gradient penalty term on discriminator loss\n",
        "* Otherwise same training setup"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "OfxZPkoZNMJi",
        "outputId": "5efa49cb-6339-44fc-c088-22d78a3f117a"
      },
      "source": [
        "gp_generator = gan_model()\n",
        "gp_discriminator = gan_model()\n",
        "\n",
        "gp_training = train_gan_gp(gp_generator, gp_discriminator, g_loss_func=unsaturating_gen_loss, d_loss_func=critic_loss, \\\n",
        "                           n_steps=50000, lr=1e-4, bs=256, gp=10, clip=False, sample_noise=sample_uniform, \\\n",
        "                           sample_true=sample_gaussian, cdf_true=norm_cdf)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "100% (50000 of 50000) |##################| Elapsed Time: 0:18:47 Time:  0:18:47\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 343,
          "referenced_widgets": [
            "5f823b5a695b429fbb0d8d146ea4ed2a",
            "af2f13d9400e44c79d0ef20c6b6d7b5b",
            "9442a65767564b5ba43b6bdb0d75fb4f",
            "0831e1e2d81b4c199f152beef3338afa",
            "b55f5365f0f4421182cbf2d21397e69f",
            "d9ea81e4fac64acca4e48de1085ecd0f",
            "4ddb2bc096aa4046aa47cc167782a0c1"
          ]
        },
        "id": "Xl_0Y2vANMQA",
        "outputId": "c6079c91-6e33-4f29-a438-28d70c482e93"
      },
      "source": [
        "interact(visualize_training, training_results=fixed(gp_training[:3]), \\\n",
        "         iterations=(0,50000,1000), pdf_func=fixed(norm_pdf), xlim=fixed((-3,3)))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "5f823b5a695b429fbb0d8d146ea4ed2a",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "interactive(children=(IntSlider(value=25000, description='iterations', max=50000, step=1000), Output()), _dom_…"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<function gan.visualize_training>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 82
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "XsvFFNCxTYh6"
      },
      "source": [
        "save_gan(gp_generator, \"gan-gp\")"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 313
        },
        "id": "DzIfrC1lTYkQ",
        "outputId": "0cbbe95d-1347-4f38-a88e-5628c123e703"
      },
      "source": [
        "s = visualize_gan(gp_generator, \"GAN-GP\", ks_values=gp_training[-1])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x288 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YnqEZfeaTYn9"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Ew5XKs_R1-8T"
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}