grad_desc_algos.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "grad_desc_algos.ipynb",
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "widgets": {
      "application/vnd.jupyter.widget-state+json": {
        "22bb74868b184fb4b46511884d1e4a2b": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HBoxModel",
          "state": {
            "_view_name": "HBoxView",
            "_dom_classes": [],
            "_model_name": "HBoxModel",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "box_style": "",
            "layout": "IPY_MODEL_fcc82224f0554a0ca55124a4bbbd36e8",
            "_model_module": "@jupyter-widgets/controls",
            "children": [
              "IPY_MODEL_797684a4c7474740b89dca90e30e7000",
              "IPY_MODEL_78aaf28be6804d90a232048364c0c716"
            ]
          }
        },
        "fcc82224f0554a0ca55124a4bbbd36e8": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "797684a4c7474740b89dca90e30e7000": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "IntProgressModel",
          "state": {
            "_view_name": "ProgressView",
            "style": "IPY_MODEL_9c093b22dfd14553b5d480bfc5ac1e21",
            "_dom_classes": [],
            "description": "100%",
            "_model_name": "IntProgressModel",
            "bar_style": "success",
            "max": 10000,
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": 10000,
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "orientation": "horizontal",
            "min": 0,
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_759d5bd15d214fa9a54290f4c3a78ce9"
          }
        },
        "78aaf28be6804d90a232048364c0c716": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HTMLModel",
          "state": {
            "_view_name": "HTMLView",
            "style": "IPY_MODEL_0a8cdb8358654393abd9772729061ed7",
            "_dom_classes": [],
            "description": "",
            "_model_name": "HTMLModel",
            "placeholder": "​",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": " 10000/10000 [00:16&lt;00:00, 622.98epoch/s]",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_2a4305f30d384055ba0c394b4a969d4f"
          }
        },
        "9c093b22dfd14553b5d480bfc5ac1e21": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ProgressStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "ProgressStyleModel",
            "description_width": "initial",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "bar_color": null,
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "759d5bd15d214fa9a54290f4c3a78ce9": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "0a8cdb8358654393abd9772729061ed7": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "DescriptionStyleModel",
            "description_width": "",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "2a4305f30d384055ba0c394b4a969d4f": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "c4e42e3064ea44a58c1a35e3155bbbe0": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HBoxModel",
          "state": {
            "_view_name": "HBoxView",
            "_dom_classes": [],
            "_model_name": "HBoxModel",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "box_style": "",
            "layout": "IPY_MODEL_75c2d2385feb44b5b2b1f832538f5d9b",
            "_model_module": "@jupyter-widgets/controls",
            "children": [
              "IPY_MODEL_5046510432564f42bb7c8760cbe29d11",
              "IPY_MODEL_4aaafabb6753484d92b884ed4d3a7b18"
            ]
          }
        },
        "75c2d2385feb44b5b2b1f832538f5d9b": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "5046510432564f42bb7c8760cbe29d11": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "IntProgressModel",
          "state": {
            "_view_name": "ProgressView",
            "style": "IPY_MODEL_2d69a18ccd004f80b5449efa446c287e",
            "_dom_classes": [],
            "description": "100%",
            "_model_name": "IntProgressModel",
            "bar_style": "success",
            "max": 1000,
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": 1000,
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "orientation": "horizontal",
            "min": 0,
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_4b2768d855be4182a1d931967fc22f1e"
          }
        },
        "4aaafabb6753484d92b884ed4d3a7b18": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HTMLModel",
          "state": {
            "_view_name": "HTMLView",
            "style": "IPY_MODEL_06354e29516448dca93df18c73dd0e62",
            "_dom_classes": [],
            "description": "",
            "_model_name": "HTMLModel",
            "placeholder": "​",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": " 1000/1000 [00:01&lt;00:00, 535.81epoch/s]",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_22ebc2aed3c041c39f6092309dfc301c"
          }
        },
        "2d69a18ccd004f80b5449efa446c287e": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ProgressStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "ProgressStyleModel",
            "description_width": "initial",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "bar_color": null,
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "4b2768d855be4182a1d931967fc22f1e": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "06354e29516448dca93df18c73dd0e62": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "DescriptionStyleModel",
            "description_width": "",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "22ebc2aed3c041c39f6092309dfc301c": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "efa7ac48e6cf4182a5783d5d71900cde": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HBoxModel",
          "state": {
            "_view_name": "HBoxView",
            "_dom_classes": [],
            "_model_name": "HBoxModel",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "box_style": "",
            "layout": "IPY_MODEL_26ac13ca17474d9b902eab4a12593f51",
            "_model_module": "@jupyter-widgets/controls",
            "children": [
              "IPY_MODEL_fa4f71d6d3004aeeb47b0d12d8666c1b",
              "IPY_MODEL_10d2513eb69744d0842361d374032053"
            ]
          }
        },
        "26ac13ca17474d9b902eab4a12593f51": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "fa4f71d6d3004aeeb47b0d12d8666c1b": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "IntProgressModel",
          "state": {
            "_view_name": "ProgressView",
            "style": "IPY_MODEL_bcfb2452e6004967af4b0bec37dad2f2",
            "_dom_classes": [],
            "description": "100%",
            "_model_name": "IntProgressModel",
            "bar_style": "success",
            "max": 1000,
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": 1000,
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "orientation": "horizontal",
            "min": 0,
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_bf2f15d2f37944c7b4d58a04262fa98c"
          }
        },
        "10d2513eb69744d0842361d374032053": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HTMLModel",
          "state": {
            "_view_name": "HTMLView",
            "style": "IPY_MODEL_3462df8192c04500ae2a9787d2fae5ba",
            "_dom_classes": [],
            "description": "",
            "_model_name": "HTMLModel",
            "placeholder": "​",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": " 1000/1000 [00:01&lt;00:00, 536.59epoch/s]",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_4608a05eed2948f98ca6a4c8f0d5914d"
          }
        },
        "bcfb2452e6004967af4b0bec37dad2f2": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ProgressStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "ProgressStyleModel",
            "description_width": "initial",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "bar_color": null,
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "bf2f15d2f37944c7b4d58a04262fa98c": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "3462df8192c04500ae2a9787d2fae5ba": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "DescriptionStyleModel",
            "description_width": "",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "4608a05eed2948f98ca6a4c8f0d5914d": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "8be236e6149b4f3f8f0065fee12d66b5": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HBoxModel",
          "state": {
            "_view_name": "HBoxView",
            "_dom_classes": [],
            "_model_name": "HBoxModel",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "box_style": "",
            "layout": "IPY_MODEL_a9198397a7144bd09bd817f3710d747d",
            "_model_module": "@jupyter-widgets/controls",
            "children": [
              "IPY_MODEL_7cc9fbb6d7a242388e0fe8fb5a5ba174",
              "IPY_MODEL_29f9fe04b15a4a549f0f2005effbc50f"
            ]
          }
        },
        "a9198397a7144bd09bd817f3710d747d": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "7cc9fbb6d7a242388e0fe8fb5a5ba174": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "IntProgressModel",
          "state": {
            "_view_name": "ProgressView",
            "style": "IPY_MODEL_7fe6792cfb1b4df288ebce19c782be96",
            "_dom_classes": [],
            "description": "100%",
            "_model_name": "IntProgressModel",
            "bar_style": "success",
            "max": 500,
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": 500,
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "orientation": "horizontal",
            "min": 0,
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_c06542b5b2ba41b5a67ab8dc0822c3b9"
          }
        },
        "29f9fe04b15a4a549f0f2005effbc50f": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HTMLModel",
          "state": {
            "_view_name": "HTMLView",
            "style": "IPY_MODEL_982e7e105ee843979fcdef21dad60740",
            "_dom_classes": [],
            "description": "",
            "_model_name": "HTMLModel",
            "placeholder": "​",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": " 500/500 [00:01&lt;00:00, 478.77epoch/s]",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_c7cd765c42cd4fe885ae94c98f1ccc93"
          }
        },
        "7fe6792cfb1b4df288ebce19c782be96": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ProgressStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "ProgressStyleModel",
            "description_width": "initial",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "bar_color": null,
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "c06542b5b2ba41b5a67ab8dc0822c3b9": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "982e7e105ee843979fcdef21dad60740": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "DescriptionStyleModel",
            "description_width": "",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "c7cd765c42cd4fe885ae94c98f1ccc93": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "58d23e432f82456fb94b727988e4746f": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HBoxModel",
          "state": {
            "_view_name": "HBoxView",
            "_dom_classes": [],
            "_model_name": "HBoxModel",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "box_style": "",
            "layout": "IPY_MODEL_da691459070c4351abbad295ed2e9122",
            "_model_module": "@jupyter-widgets/controls",
            "children": [
              "IPY_MODEL_b9b68aa758f7444fab544a1fd614cf9f",
              "IPY_MODEL_523f6d63cbe0457a9db69c9d378dc55e"
            ]
          }
        },
        "da691459070c4351abbad295ed2e9122": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "b9b68aa758f7444fab544a1fd614cf9f": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "IntProgressModel",
          "state": {
            "_view_name": "ProgressView",
            "style": "IPY_MODEL_396152088c8d49e0a524f8e5051b50bf",
            "_dom_classes": [],
            "description": "100%",
            "_model_name": "IntProgressModel",
            "bar_style": "success",
            "max": 2000,
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": 2000,
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "orientation": "horizontal",
            "min": 0,
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_d46fa9e6d2804198ade469985b737878"
          }
        },
        "523f6d63cbe0457a9db69c9d378dc55e": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HTMLModel",
          "state": {
            "_view_name": "HTMLView",
            "style": "IPY_MODEL_c44ac7249dc84fc6b8564731720d587c",
            "_dom_classes": [],
            "description": "",
            "_model_name": "HTMLModel",
            "placeholder": "​",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": " 2000/2000 [00:03&lt;00:00, 554.42epoch/s]",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_e51c1533bae1490bb71442d743bcb98d"
          }
        },
        "396152088c8d49e0a524f8e5051b50bf": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ProgressStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "ProgressStyleModel",
            "description_width": "initial",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "bar_color": null,
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "d46fa9e6d2804198ade469985b737878": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "c44ac7249dc84fc6b8564731720d587c": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "DescriptionStyleModel",
            "description_width": "",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "e51c1533bae1490bb71442d743bcb98d": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "c20bffe482344ff5ad5156a9aa6e62ef": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HBoxModel",
          "state": {
            "_view_name": "HBoxView",
            "_dom_classes": [],
            "_model_name": "HBoxModel",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "box_style": "",
            "layout": "IPY_MODEL_4af55d52d54c490baa9fe9d905f5979c",
            "_model_module": "@jupyter-widgets/controls",
            "children": [
              "IPY_MODEL_9a97f945d5d84f84a7fb08d60eaa155a",
              "IPY_MODEL_6da3996871eb4e8d8acf21cb08db89d1"
            ]
          }
        },
        "4af55d52d54c490baa9fe9d905f5979c": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "9a97f945d5d84f84a7fb08d60eaa155a": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "IntProgressModel",
          "state": {
            "_view_name": "ProgressView",
            "style": "IPY_MODEL_1d8761499b7245e594ff801f90bb412e",
            "_dom_classes": [],
            "description": "100%",
            "_model_name": "IntProgressModel",
            "bar_style": "success",
            "max": 200,
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": 200,
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "orientation": "horizontal",
            "min": 0,
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_34e21455ccb94600a275780f7bc93903"
          }
        },
        "6da3996871eb4e8d8acf21cb08db89d1": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "HTMLModel",
          "state": {
            "_view_name": "HTMLView",
            "style": "IPY_MODEL_acb786bc1c914bc69a95b3f92dc09fb9",
            "_dom_classes": [],
            "description": "",
            "_model_name": "HTMLModel",
            "placeholder": "​",
            "_view_module": "@jupyter-widgets/controls",
            "_model_module_version": "1.5.0",
            "value": " 200/200 [00:00&lt;00:00, 513.70epoch/s]",
            "_view_count": null,
            "_view_module_version": "1.5.0",
            "description_tooltip": null,
            "_model_module": "@jupyter-widgets/controls",
            "layout": "IPY_MODEL_d94c55cd3fa747b485cc17ceffd505f4"
          }
        },
        "1d8761499b7245e594ff801f90bb412e": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "ProgressStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "ProgressStyleModel",
            "description_width": "initial",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "bar_color": null,
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "34e21455ccb94600a275780f7bc93903": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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
          }
        },
        "acb786bc1c914bc69a95b3f92dc09fb9": {
          "model_module": "@jupyter-widgets/controls",
          "model_name": "DescriptionStyleModel",
          "state": {
            "_view_name": "StyleView",
            "_model_name": "DescriptionStyleModel",
            "description_width": "",
            "_view_module": "@jupyter-widgets/base",
            "_model_module_version": "1.5.0",
            "_view_count": null,
            "_view_module_version": "1.2.0",
            "_model_module": "@jupyter-widgets/controls"
          }
        },
        "d94c55cd3fa747b485cc17ceffd505f4": {
          "model_module": "@jupyter-widgets/base",
          "model_name": "LayoutModel",
          "state": {
            "_view_name": "LayoutView",
            "grid_template_rows": null,
            "right": null,
            "justify_content": null,
            "_view_module": "@jupyter-widgets/base",
            "overflow": null,
            "_model_module_version": "1.2.0",
            "_view_count": null,
            "flex_flow": null,
            "width": null,
            "min_width": null,
            "border": null,
            "align_items": null,
            "bottom": null,
            "_model_module": "@jupyter-widgets/base",
            "top": null,
            "grid_column": null,
            "overflow_y": null,
            "overflow_x": null,
            "grid_auto_flow": null,
            "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": "l3bfsrv1MnG9",
        "colab_type": "text"
      },
      "source": [
        "# Setup"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "z5nIL94uLU45",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "2122d4b2-4459-444f-dcda-20caceb31fa0"
      },
      "source": [
        "import numpy as np\n",
        "import pandas as pd\n",
        "import matplotlib.pyplot as plt\n",
        "import matplotlib.colors\n",
        "import seaborn as sns\n",
        "import imageio\n",
        "import time\n",
        "from sklearn.model_selection import train_test_split\n",
        "from sklearn.preprocessing import OneHotEncoder\n",
        "from sklearn.metrics import mean_squared_error, accuracy_score, log_loss\n",
        "from sklearn.datasets import make_blobs\n",
        "from IPython.display import HTML\n",
        "from tqdm.notebook import tqdm"
      ],
      "execution_count": 1,
      "outputs": [
        {
          "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": "code",
      "metadata": {
        "id": "XQ7U_txjMXcI",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "my_cmap = matplotlib.colors.LinearSegmentedColormap.from_list(\"\", [\"red\", \"yellow\", \"green\"])"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kPjgPCDzMjaX",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "np.random.seed(0)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "H4-zduziMpII",
        "colab_type": "text"
      },
      "source": [
        "# Data Generation and Preparation"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BSonzfL6MlzR",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "d75659a0-0f9d-4a42-b5ab-1cd4f59ad8a6"
      },
      "source": [
        "data, labels = make_blobs(n_samples=1000, n_features=2, centers=4, random_state=0)\n",
        "print(data.shape, labels.shape)"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(1000, 2) (1000,)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "kBiNxmA9M8Nj",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "6120e2ce-0b6b-4b2f-8ecc-294d9bebdcb7"
      },
      "source": [
        "plt.scatter(data[:,0], data[:,1], c=labels, cmap=my_cmap)\n",
        "plt.show()"
      ],
      "execution_count": 5,
      "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": "coLlrqjgNEP8",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "c16981d0-9a2f-48d3-8f4a-c455c24d9458"
      },
      "source": [
        "labels_orig = labels\n",
        "labels = np.mod(labels_orig, 2)\n",
        "plt.scatter(data[:,0], data[:,1], c=labels, cmap=my_cmap)\n",
        "plt.show()"
      ],
      "execution_count": 6,
      "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": "uBkDqYj0NSZJ",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "f5df155c-8246-4fef-ccf5-7f005cfeb880"
      },
      "source": [
        "X_train, X_val, Y_train, Y_val = train_test_split(data, labels_orig, stratify=labels_orig, random_state=0)\n",
        "print(X_train.shape, X_val.shape, labels_orig.shape)"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(750, 2) (250, 2) (1000,)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Js4yX-RsNoX5",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "a8d37893-c8c7-4c86-e641-bbe16ab103e4"
      },
      "source": [
        "enc = OneHotEncoder()\n",
        "y_OH_train = enc.fit_transform(np.expand_dims(Y_train,1)).toarray()\n",
        "y_OH_val = enc.fit_transform(np.expand_dims(Y_val,1)).toarray()\n",
        "print(y_OH_train.shape, y_OH_val.shape)"
      ],
      "execution_count": 8,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "(750, 4) (250, 4)\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "U_Bf4hKhOJWq",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "outputId": "c812329c-d183-4e44-a2ce-9dc8403977ea"
      },
      "source": [
        "W1 = np.random.randn(2,2)\n",
        "W2 = np.random.randn(2,4)\n",
        "print(W1)\n",
        "print(W2)"
      ],
      "execution_count": 9,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "[[1.76405235 0.40015721]\n",
            " [0.97873798 2.2408932 ]]\n",
            "[[ 1.86755799 -0.97727788  0.95008842 -0.15135721]\n",
            " [-0.10321885  0.4105985   0.14404357  1.45427351]]\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5LJN-YPMOdrS",
        "colab_type": "text"
      },
      "source": [
        "# Class for FFN with Algos"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "JlbN-j8mOTQR",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "class VFFN:\n",
        "\n",
        "    def __init__(self, W1, W2):\n",
        "        self.params={}\n",
        "        self.params[\"W1\"] = W1.copy()\n",
        "        self.params[\"W2\"] = W2.copy()\n",
        "        self.params[\"B1\"] = np.zeros((1,2))\n",
        "        self.params[\"B2\"] = np.zeros((1,4))\n",
        "        self.num_layers=2\n",
        "        self.gradients={}\n",
        "        self.update_params={}\n",
        "        self.prev_update_params={}\n",
        "        for i in range(1, self.num_layers+1):\n",
        "            self.update_params[\"v_w\"+str(i)]=0\n",
        "            self.update_params[\"v_b\"+str(i)]=0\n",
        "            self.update_params[\"m_w\"+str(i)]=0\n",
        "            self.update_params[\"m_b\"+str(i)]=0\n",
        "            self.prev_update_params[\"v_w\"+str(i)]=0\n",
        "            self.prev_update_params[\"v_b\"+str(i)]=0\n",
        "    \n",
        "    def forward_activation(self, X):\n",
        "        return 1.0/(1.0+np.exp(-X))\n",
        "\n",
        "    def grad_activation(self, X):\n",
        "        return X*(1-X)\n",
        "\n",
        "    def softmax(self, X):\n",
        "        exps = np.exp(X)\n",
        "        return exps/np.sum(exps, axis=1).reshape(-1,1)\n",
        "    \n",
        "    def forward_pass(self, X, params=None):\n",
        "        if params is None:\n",
        "            params = self.params\n",
        "        self.A1 = np.matmul(X, params[\"W1\"]) + params[\"B1\"]\n",
        "        self.H1 = self.forward_activation(self.A1)\n",
        "        self.A2 = np.matmul(self.H1, params[\"W2\"]) + params[\"B2\"]\n",
        "        self.H2 = self.softmax(self.A2)\n",
        "        return self.H2\n",
        "\n",
        "    def grad(self, X, Y, params=None):\n",
        "        if params is None:\n",
        "            params = self.params\n",
        "        \n",
        "        self.forward_pass(X,params)\n",
        "        m = X.shape[0]\n",
        "        self.gradients[\"dA2\"] = self.H2-Y\n",
        "        self.gradients[\"dW2\"] = np.matmul(self.H1.T, self.gradients[\"dA2\"])\n",
        "        self.gradients[\"dB2\"] = np.sum(self.gradients[\"dA2\"], axis=0).reshape(1,-1)\n",
        "        self.gradients[\"dH1\"] = np.matmul(self.gradients[\"dA2\"], params[\"W2\"].T)\n",
        "        self.gradients[\"dA1\"] = np.multiply(self.gradients[\"dH1\"], self.grad_activation(self.H1))\n",
        "        self.gradients[\"dW1\"] = np.matmul(X.T, self.gradients[\"dA1\"])\n",
        "        self.gradients[\"dB1\"] = np.sum(self.gradients[\"dA1\"], axis=0).reshape(1,-1)\n",
        "    \n",
        "    def fit(self, X, Y, epochs=1, algo=\"GD\", display_loss=False,\n",
        "            eta=1, mini_batch_size=100, eps=1e-8,\n",
        "            beta=0.9, beta1=0.9, beta2=0.9, gamma=0.9):\n",
        "        \n",
        "        if display_loss:\n",
        "            loss = {}\n",
        "        for num_epochs in tqdm(range(epochs), total=epochs, unit='epoch'):\n",
        "            m=X.shape[0]\n",
        "\n",
        "            if algo==\"GD\":\n",
        "                self.grad(X,Y)\n",
        "                for i in range(1, self.num_layers+1):\n",
        "                     self.params[\"W\"+str(i)] -= eta * (self.gradients[\"dW\"+str(i)]/m)\n",
        "                     self.params[\"B\"+str(i)] -= eta * (self.gradients[\"dB\"+str(i)]/m)\n",
        "\n",
        "            elif algo==\"MiniBatch\":\n",
        "                for k in range(0,m,mini_batch_size):\n",
        "                    self.grad(X[k:k+mini_batch_size], Y[k:k+mini_batch_size])\n",
        "                    for i in range(1,self.num_layers+1):\n",
        "                        self.params[\"W\"+str(i)] -= eta * (self.gradients[\"dW\"+str(i)]/mini_batch_size)\n",
        "                        self.params[\"B\"+str(i)] -= eta * (self.gradients[\"dB\"+str(i)]/mini_batch_size)\n",
        "\n",
        "            elif algo==\"Momentum\":\n",
        "                self.grad(X, Y)\n",
        "                for i in range(1,self.num_layers+1):\n",
        "                    self.update_params[\"v_w\"+str(i)] = gamma * self.update_params[\"v_w\"+str(i)] + eta * (self.gradients[\"dW\"+str(i)]/m)\n",
        "                    self.update_params[\"v_b\"+str(i)] = gamma * self.update_params[\"v_b\"+str(i)] + eta * (self.gradients[\"dB\"+str(i)]/m)\n",
        "                    self.params[\"W\"+str(i)] -= self.update_params[\"v_w\"+str(i)]\n",
        "                    self.params[\"B\"+str(i)] -= self.update_params[\"v_b\"+str(i)]\n",
        "\n",
        "            elif algo==\"NAG\":\n",
        "                temp_params={}\n",
        "                for i in range(1, self.num_layers+1):\n",
        "                    self.update_params[\"v_w\"+str(i)] = gamma * self.prev_update_params[\"v_w\"+str(i)]\n",
        "                    self.update_params[\"v_b\"+str(i)] = gamma * self.prev_update_params[\"v_b\"+str(i)]\n",
        "                    temp_params[\"W\"+str(i)] = self.params[\"W\"+str(i)]-self.update_params[\"v_w\"+str(i)]\n",
        "                    temp_params[\"B\"+str(i)] = self.params[\"B\"+str(i)]-self.update_params[\"v_b\"+str(i)]\n",
        "                self.grad(X,Y,temp_params)\n",
        "                for i in range(1,self.num_layers+1):\n",
        "                    self.update_params[\"v_w\"+str(i)] = gamma *self.update_params[\"v_w\"+str(i)] + eta * (self.gradients[\"dW\"+str(i)]/m)\n",
        "                    self.update_params[\"v_b\"+str(i)] = gamma *self.update_params[\"v_b\"+str(i)] + eta * (self.gradients[\"dB\"+str(i)]/m)\n",
        "                    self.params[\"W\"+str(i)] -= eta * (self.update_params[\"v_w\"+str(i)])\n",
        "                    self.params[\"B\"+str(i)] -= eta * (self.update_params[\"v_b\"+str(i)]) \n",
        "                self.prev_update_params = self.update_params \n",
        "            \n",
        "            elif algo==\"AdaGrad\":\n",
        "                self.grad(X,Y)\n",
        "                for i in range(1,self.num_layers+1):\n",
        "                    self.update_params[\"v_w\"+str(i)] += (self.gradients[\"dW\"+str(i)]/m)**2\n",
        "                    self.update_params[\"v_b\"+str(i)] += (self.gradients[\"dB\"+str(i)]/m)**2\n",
        "                    self.params[\"W\"+str(i)] -= (eta/(np.sqrt(self.update_params[\"v_w\"+str(i)])+eps)) * (self.gradients[\"dW\"+str(i)]/m)\n",
        "                    self.params[\"B\"+str(i)] -= (eta/(np.sqrt(self.update_params[\"v_b\"+str(i)])+eps)) * (self.gradients[\"dB\"+str(i)]/m)\n",
        "\n",
        "            elif algo==\"RMSProp\":\n",
        "                self.grad(X,Y)\n",
        "                for i in range(1, self.num_layers+1):\n",
        "                    self.update_params[\"v_w\"+str(i)] = beta*self.update_params[\"v_w\"+str(i)] + (1-beta)*((self.gradients[\"dW\"+str(i)]/m)**2)\n",
        "                    self.update_params[\"v_b\"+str(i)] = beta*self.update_params[\"v_b\"+str(i)] + (1-beta)*((self.gradients[\"dB\"+str(i)]/m)**2)\n",
        "                    self.params[\"W\"+str(i)] -= (eta/(np.sqrt(self.update_params[\"v_w\"+str(i)]+eps)))*(self.gradients[\"dW\"+str(i)]/m)\n",
        "                    self.params[\"B\"+str(i)] -= (eta/(np.sqrt(self.update_params[\"v_b\"+str(i)]+eps)))*(self.gradients[\"dB\"+str(i)]/m)\n",
        "\n",
        "            elif algo==\"Adam\":\n",
        "                self.grad(X,Y)\n",
        "                num_updates=0\n",
        "                for i in range(1, self.num_layers+1):\n",
        "                    num_updates+=1\n",
        "                    self.update_params[\"m_w\"+str(i)]=beta1*self.update_params[\"m_w\"+str(i)]+(1-beta1)*(self.gradients[\"dW\"+str(i)]/m)\n",
        "                    self.update_params[\"v_w\"+str(i)]=beta2*self.update_params[\"v_w\"+str(i)]+(1-beta2)*((self.gradients[\"dW\"+str(i)]/m)**2)\n",
        "                    m_w_hat=self.update_params[\"m_w\"+str(i)]/(1-np.power(beta1,num_updates))\n",
        "                    v_w_hat=self.update_params[\"v_w\"+str(i)]/(1-np.power(beta2,num_updates))\n",
        "                    self.params[\"W\"+str(i)] -= (eta/np.sqrt(v_w_hat+eps))*m_w_hat\n",
        "\n",
        "                    self.update_params[\"m_b\"+str(i)]=beta1*self.update_params[\"m_b\"+str(i)]+(1-beta1)*(self.gradients[\"dB\"+str(i)]/m)\n",
        "                    self.update_params[\"v_b\"+str(i)]=beta2*self.update_params[\"v_b\"+str(i)]+(1-beta2)*((self.gradients[\"dB\"+str(i)]/m)**2)\n",
        "                    m_b_hat=self.update_params[\"m_b\"+str(i)]/(1-np.power(beta1,num_updates))\n",
        "                    v_b_hat=self.update_params[\"v_b\"+str(i)]/(1-np.power(beta2,num_updates))\n",
        "                    self.params[\"B\"+str(i)] -= (eta/np.sqrt(v_b_hat+eps))*m_b_hat\n",
        "            \n",
        "            if display_loss:\n",
        "                Y_pred = self.predict(X)\n",
        "                loss[num_epochs] = log_loss(np.argmax(Y, axis=1), Y_pred)\n",
        "\n",
        "        if display_loss:\n",
        "            plt.plot(np.array(list(loss.values())).astype(np.float), '-o', markersize=5)\n",
        "            plt.xlabel('Epochs')\n",
        "            plt.ylabel('Log Loss')\n",
        "            plt.show()\n",
        "    \n",
        "    def predict(self, X):\n",
        "        Y_pred = self.forward_pass(X)\n",
        "        return np.array(Y_pred).squeeze()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ec8qwKfjpeMI",
        "colab_type": "text"
      },
      "source": [
        "# Accuracy and Plot Function"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TgjfXu7CnN47",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def print_accuracy(show_plot=False):\n",
        "    Y_pred_train = model.predict(X_train)\n",
        "    Y_pred_train = np.argmax(Y_pred_train,1)\n",
        "    Y_pred_val = model.predict(X_val)\n",
        "    Y_pred_val = np.argmax(Y_pred_val,1)\n",
        "    accuracy_train = accuracy_score(Y_pred_train, Y_train)\n",
        "    accuracy_val = accuracy_score(Y_pred_val, Y_val)\n",
        "    print(\"Training Accuracy: \", round(accuracy_train,4))\n",
        "    print(\"Validation Accuracy: \", round(accuracy_val,4))\n",
        "\n",
        "    if show_plot is True:\n",
        "        plt.scatter(X_train[:,0], X_train[:,1], c=Y_pred_train, cmap=my_cmap, s=15*(np.abs(np.sign(Y_pred_train-Y_train))+0.1))\n",
        "        plt.show()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "HrFwnAw7PrYD",
        "colab_type": "text"
      },
      "source": [
        "# Results:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2U8iuks7pZqI",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 644,
          "referenced_widgets": [
            "22bb74868b184fb4b46511884d1e4a2b",
            "fcc82224f0554a0ca55124a4bbbd36e8",
            "797684a4c7474740b89dca90e30e7000",
            "78aaf28be6804d90a232048364c0c716",
            "9c093b22dfd14553b5d480bfc5ac1e21",
            "759d5bd15d214fa9a54290f4c3a78ce9",
            "0a8cdb8358654393abd9772729061ed7",
            "2a4305f30d384055ba0c394b4a969d4f"
          ]
        },
        "outputId": "e0ff8c68-ad30-44d7-9056-bd9629d4ce80"
      },
      "source": [
        "%%time\n",
        "model = VFFN(W1, W2)\n",
        "model.fit(X_train, y_OH_train, epochs=10000, eta=0.5, algo=\"GD\", display_loss=True)\n",
        "print_accuracy(True)"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "22bb74868b184fb4b46511884d1e4a2b",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(IntProgress(value=0, max=10000), HTML(value='')))"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "\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": "stream",
          "text": [
            "Training Accuracy:  0.9293\n",
            "Validation Accuracy:  0.936\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": "stream",
          "text": [
            "CPU times: user 16.1 s, sys: 192 ms, total: 16.3 s\n",
            "Wall time: 16.4 s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "5_VnCFWVQD4w",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 644,
          "referenced_widgets": [
            "c4e42e3064ea44a58c1a35e3155bbbe0",
            "75c2d2385feb44b5b2b1f832538f5d9b",
            "5046510432564f42bb7c8760cbe29d11",
            "4aaafabb6753484d92b884ed4d3a7b18",
            "2d69a18ccd004f80b5449efa446c287e",
            "4b2768d855be4182a1d931967fc22f1e",
            "06354e29516448dca93df18c73dd0e62",
            "22ebc2aed3c041c39f6092309dfc301c"
          ]
        },
        "outputId": "432af76d-58d4-4899-cd4d-cfda733bf945"
      },
      "source": [
        "%%time\n",
        "model = VFFN(W1,W2)\n",
        "model.fit(X_train, y_OH_train, epochs=1000, eta=0.5, algo=\"Momentum\", gamma=0.9, display_loss=True)\n",
        "print_accuracy(True)"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "c4e42e3064ea44a58c1a35e3155bbbe0",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "\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": "stream",
          "text": [
            "Training Accuracy:  0.9267\n",
            "Validation Accuracy:  0.944\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": "stream",
          "text": [
            "CPU times: user 2.03 s, sys: 114 ms, total: 2.14 s\n",
            "Wall time: 2.07 s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "GcWRlNNSQsG8",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 644,
          "referenced_widgets": [
            "efa7ac48e6cf4182a5783d5d71900cde",
            "26ac13ca17474d9b902eab4a12593f51",
            "fa4f71d6d3004aeeb47b0d12d8666c1b",
            "10d2513eb69744d0842361d374032053",
            "bcfb2452e6004967af4b0bec37dad2f2",
            "bf2f15d2f37944c7b4d58a04262fa98c",
            "3462df8192c04500ae2a9787d2fae5ba",
            "4608a05eed2948f98ca6a4c8f0d5914d"
          ]
        },
        "outputId": "125ab4db-dc3b-44cb-c738-2af05afe6a97"
      },
      "source": [
        "%%time\n",
        "model = VFFN(W1,W2)\n",
        "model.fit(X_train, y_OH_train, epochs=1000, eta=0.5, algo=\"NAG\", gamma=0.9, display_loss=True)\n",
        "print_accuracy(True)"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "efa7ac48e6cf4182a5783d5d71900cde",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(IntProgress(value=0, max=1000), HTML(value='')))"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "\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": "stream",
          "text": [
            "Training Accuracy:  0.9213\n",
            "Validation Accuracy:  0.94\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": "stream",
          "text": [
            "CPU times: user 2.01 s, sys: 123 ms, total: 2.13 s\n",
            "Wall time: 2.06 s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "xJSAqVI-Q53K",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 644,
          "referenced_widgets": [
            "8be236e6149b4f3f8f0065fee12d66b5",
            "a9198397a7144bd09bd817f3710d747d",
            "7cc9fbb6d7a242388e0fe8fb5a5ba174",
            "29f9fe04b15a4a549f0f2005effbc50f",
            "7fe6792cfb1b4df288ebce19c782be96",
            "c06542b5b2ba41b5a67ab8dc0822c3b9",
            "982e7e105ee843979fcdef21dad60740",
            "c7cd765c42cd4fe885ae94c98f1ccc93"
          ]
        },
        "outputId": "eaa8b06d-b765-4cbb-82c1-1424b04c1491"
      },
      "source": [
        "%%time\n",
        "model = VFFN(W1,W2)\n",
        "model.fit(X_train, y_OH_train, epochs=500, eta=1, algo=\"AdaGrad\", display_loss=True)\n",
        "print_accuracy(True)"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "8be236e6149b4f3f8f0065fee12d66b5",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(IntProgress(value=0, max=500), HTML(value='')))"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "\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": "stream",
          "text": [
            "Training Accuracy:  0.912\n",
            "Validation Accuracy:  0.936\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": "stream",
          "text": [
            "CPU times: user 1.22 s, sys: 112 ms, total: 1.33 s\n",
            "Wall time: 1.24 s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "c-9HfAEzREzM",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 644,
          "referenced_widgets": [
            "58d23e432f82456fb94b727988e4746f",
            "da691459070c4351abbad295ed2e9122",
            "b9b68aa758f7444fab544a1fd614cf9f",
            "523f6d63cbe0457a9db69c9d378dc55e",
            "396152088c8d49e0a524f8e5051b50bf",
            "d46fa9e6d2804198ade469985b737878",
            "c44ac7249dc84fc6b8564731720d587c",
            "e51c1533bae1490bb71442d743bcb98d"
          ]
        },
        "outputId": "31d21127-10d2-4331-8d62-2c9e7c749c4f"
      },
      "source": [
        "%%time\n",
        "model = VFFN(W1,W2)\n",
        "model.fit(X_train, y_OH_train, epochs=2000, eta=0.01, algo=\"RMSProp\", beta=0.9, display_loss=True)\n",
        "print_accuracy(True)"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "58d23e432f82456fb94b727988e4746f",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(IntProgress(value=0, max=2000), HTML(value='')))"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "\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": "stream",
          "text": [
            "Training Accuracy:  0.9253\n",
            "Validation Accuracy:  0.94\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": "stream",
          "text": [
            "CPU times: user 3.7 s, sys: 138 ms, total: 3.84 s\n",
            "Wall time: 3.81 s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "RegkuZNRRVx4",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 644,
          "referenced_widgets": [
            "c20bffe482344ff5ad5156a9aa6e62ef",
            "4af55d52d54c490baa9fe9d905f5979c",
            "9a97f945d5d84f84a7fb08d60eaa155a",
            "6da3996871eb4e8d8acf21cb08db89d1",
            "1d8761499b7245e594ff801f90bb412e",
            "34e21455ccb94600a275780f7bc93903",
            "acb786bc1c914bc69a95b3f92dc09fb9",
            "d94c55cd3fa747b485cc17ceffd505f4"
          ]
        },
        "outputId": "e54b144b-f664-4c25-f984-38cef8d18292"
      },
      "source": [
        "%%time\n",
        "model = VFFN(W1,W2)\n",
        "model.fit(X_train, y_OH_train, epochs=200, eta=0.1, algo=\"Adam\", beta1=0.9, beta2=0.9, display_loss=True)\n",
        "print_accuracy(True)"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "application/vnd.jupyter.widget-view+json": {
              "model_id": "c20bffe482344ff5ad5156a9aa6e62ef",
              "version_minor": 0,
              "version_major": 2
            },
            "text/plain": [
              "HBox(children=(IntProgress(value=0, max=200), HTML(value='')))"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "stream",
          "text": [
            "\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": "stream",
          "text": [
            "Training Accuracy:  0.9293\n",
            "Validation Accuracy:  0.952\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": "stream",
          "text": [
            "CPU times: user 739 ms, sys: 105 ms, total: 844 ms\n",
            "Wall time: 761 ms\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "R2lyuTkyTxCo",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}