1_reco_bias_stan_full_rank_sergey.ipynb

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      "name": "1-reco_bias_stan_full_rank_sergey.ipynb",
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    }
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  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "vMYyNDTRyqcj",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import matplotlib.pyplot as plt\n",
        "from itertools import product\n",
        "import numpy as np\n",
        "import matplotlib\n",
        "import pystan \n",
        "  \n",
        "matplotlib.rcParams.update({'font.size': 22})"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6ErEms6TsBsc",
        "colab_type": "text"
      },
      "source": [
        "We will be working with 5 products. We are given embedding of size 5 for each product. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "P0J9_CeFFUNN",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "book, journal, rice, salad, beer = 0,1,2,3,4\n",
        "name_map = {book: 'book', journal: 'journal', rice: 'rice', salad: 'salad', beer: 'beer'}"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1NcGjUcuE05c",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "product_embeddings = np.array([[1.,0.5,0,0,0],[.1,1,0,0,0],[0,0,1,.1,0],[0,0,0.1,1,0],[0,.0,0,0,1]])\n",
        "num_products, dim = product_embeddings.shape"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wtpN2_SYyqc5",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "product_similarities = product_embeddings*product_embeddings.T"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "N3u4eJF0sKzu",
        "colab_type": "text"
      },
      "source": [
        "We now define Stan model that will learn product embeddings with signal coming from clicks and impressions. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wZUVqh1NLNQc",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        },
        "outputId": "a3298fef-7093-409f-d9ef-2c64d0696e9c"
      },
      "source": [
        "script = \"\"\"\n",
        "data {\n",
        "  int N;\n",
        "  int num_products;\n",
        "  int dim;\n",
        "\n",
        "  int clicks[N];\n",
        "  int impressions[N];  \n",
        "  int actions[N];\n",
        "\n",
        "  matrix[N, dim] user_embeddings;\n",
        "  matrix[num_products, dim] product_embeddings;\n",
        "\n",
        "  real w1;\n",
        "  real w2;\n",
        "}\n",
        "\n",
        "parameters {\n",
        "  matrix[dim, dim] eps;\n",
        "  real offset;\n",
        "  real rho[num_products];\n",
        "} \n",
        "\n",
        "transformed parameters{\n",
        "  matrix[num_products, dim] beta;\n",
        "\n",
        "  beta = w1 * product_embeddings + w2 * product_embeddings * eps;\n",
        "}\n",
        "\n",
        "model {\n",
        "  rho ~ normal(0, 0.1);\n",
        "  offset ~ normal(-8,2);\n",
        "  for (k in 1:dim) {\n",
        "    eps[k] ~ normal(0, 1);\n",
        "  }\n",
        "\n",
        "  for (n in 1:N) {\n",
        "    clicks[n] ~ binomial_logit(impressions[n],  dot_product(user_embeddings[n], \n",
        "                              beta[actions[n],:]) + offset + rho[actions[n]]);\n",
        "  }\n",
        "}\n",
        "\n",
        "generated quantities {\n",
        "  matrix[num_products,num_products] ctr;\n",
        "  real ctr2[num_products,num_products,num_products];\n",
        "  real ctr_for_users[N];\n",
        "\n",
        "  for (n in 1:N) {\n",
        "    ctr_for_users[n] = inv_logit(dot_product(user_embeddings[n], beta[actions[n],:]) + offset + rho[actions[n]]);\n",
        "  }\n",
        "\n",
        "  for (h in 1:num_products) {\n",
        "    for (action in 1:num_products) {\n",
        "      ctr[h, action] = inv_logit(dot_product(product_embeddings[h, :], beta[action,:]) + offset + rho[action]);\n",
        "    }\n",
        "  }\n",
        "  \n",
        "  for (h1 in 1:num_products) {\n",
        "    for (h2 in 1:num_products) {\n",
        "      for (action in 1:num_products) {\n",
        "        ctr2[h1, h2, action] = inv_logit(dot_product((product_embeddings[h1, :]+product_embeddings[h2, :])/2, beta[action,:]) + offset + rho[action]);\n",
        "      }\n",
        "    }\n",
        "  }\n",
        "}\n",
        "\"\"\"\n",
        "\n",
        "\n",
        "model = pystan.StanModel(model_code=script)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "INFO:pystan:COMPILING THE C++ CODE FOR MODEL anon_model_2c6084743d55de859e958234dd2abeed NOW.\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "sExikY5isZD5",
        "colab_type": "text"
      },
      "source": [
        "Prepare the data. We will have a log, each line consists of a history h of a user, action a (thing we will recommend), number of impressions I, and number of clicks C. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bwqr8AMyGjDy",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def expand_timelines(timeline, product_embeddings):\n",
        "  num_clicks = timeline['C']\n",
        "  num_impressions = timeline['I']\n",
        "  action = timeline['a']\n",
        "  history_embedding = np.vstack([product_embeddings[h,:] for h in timeline['h']]).mean(0)\n",
        "  return history_embedding, action, num_clicks, num_impressions\n",
        "\n",
        "def prepare_data(log, product_embeddings):\n",
        "  data = np.vstack([np.hstack(expand_timelines(d, product_embeddings)) for d in log])\n",
        "  user_embeddings = data[:, :dim]\n",
        "  actions = np.array(data[:, dim], dtype=int)\n",
        "  clicks = np.array(data[:, dim+1], dtype=int)\n",
        "  impressions = np.array(data[:, dim+2], dtype=int)\n",
        "  return user_embeddings, actions, clicks, impressions"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8ZOLmB5P0Gkv",
        "colab_type": "text"
      },
      "source": [
        "Let's first check how the model works when there is no data. What will the model recommend purely based on embeddings. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "KczfHkCEyqfT",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def plot_hist(extract, key='ctr', plot_ctr=True):\n",
        "    mean = extract[key].mean(0).flatten()\n",
        "    low = mean - np.percentile(extract[key], 2.5,axis=0).flatten()\n",
        "    up = np.percentile(extract[key], 97.5, axis=0).flatten() - mean\n",
        "\n",
        "\n",
        "    xnames = ['-'.join(arg) for arg in product(*[name_map.values()]*len(extract[key].mean(0).shape))]\n",
        "\n",
        "    plt.figure(figsize=(30, 8))\n",
        "\n",
        "    plt.errorbar(xnames, y=mean.flatten(), yerr=np.vstack((low,up)), fmt='.',ecolor=''.join([c*5 for c in ['b', 'g', 'r', 'c', 'm', 'y', 'k']]))\n",
        "    plt.plot(xnames, mean.flatten(),'go')\n",
        "    plt.tick_params(axis='both', which='major', labelsize=15)\n",
        "    # plt.tick_params(axis='both', which='minor', labelsize=8)\n",
        "    _ = plt.xticks(rotation=90)\n",
        "\n",
        "    if len(extract[key].mean(0).shape) == 2 and plot_ctr:\n",
        "      plt.plot(xnames, (clicks)/(impressions), 'x', c='k')\n",
        "\n",
        "    \n",
        "def print_best_rec():\n",
        "    best_rec = extract['ctr'].mean(0).argmax(1)\n",
        "\n",
        "    for i in range(num_products):\n",
        "        print('when hist is ' + list(name_map.values())[i] + ', recommend ' + list(name_map.values())[best_rec[i]])"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ggfZMxSLzpY3",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 101
        },
        "outputId": "51a565e1-f751-4214-94d8-7506655c4d57"
      },
      "source": [
        "# empty histories\n",
        "log = [{'a': book, 'h': [book], 'I': 0, 'C': 0},\n",
        "        {'a': journal, 'h': [book], 'I': 0, 'C': 0},\n",
        "        {'a': rice, 'h': [book], 'I': 0, 'C': 0},        \n",
        "        {'a': salad, 'h': [book], 'I': 0, 'C': 0},\n",
        "        {'a': beer, 'h': [book], 'I': 0, 'C': 0},    \n",
        "           \n",
        "        {'a': book, 'h': [journal], 'I': 0, 'C': 0},\n",
        "        {'a': journal, 'h': [journal], 'I': 0, 'C': 0},\n",
        "        {'a': rice, 'h': [journal], 'I': 0, 'C': 0},                          \n",
        "        {'a': salad, 'h': [journal], 'I': 0, 'C': 0},\n",
        "        {'a': beer, 'h': [journal], 'I': 0, 'C': 0},\n",
        "       \n",
        "        {'a': book, 'h': [rice], 'I': 0, 'C': 0},\n",
        "        {'a': journal, 'h': [rice], 'I': 0, 'C': 0},\n",
        "        {'a': rice, 'h': [rice], 'I': 0, 'C': 0},        \n",
        "        {'a': salad, 'h': [rice], 'I': 0, 'C': 0},\n",
        "        {'a': beer, 'h': [rice], 'I': 0, 'C': 0},\n",
        "       \n",
        "        {'a': book, 'h': [salad], 'I': 0, 'C': 0},\n",
        "        {'a': journal, 'h': [salad], 'I': 0, 'C': 0},\n",
        "        {'a': rice, 'h': [salad], 'I': 0, 'C': 0},        \n",
        "        {'a': salad, 'h': [salad], 'I': 0, 'C': 0},\n",
        "        {'a': beer, 'h': [salad], 'I': 0, 'C': 0},\n",
        "       \n",
        "        {'a': book, 'h': [beer], 'I': 0, 'C': 0},\n",
        "        {'a': journal, 'h': [beer], 'I': 0, 'C': 0},\n",
        "        {'a': rice, 'h': [beer], 'I': 0, 'C': 0},        \n",
        "        {'a': salad, 'h': [beer], 'I': 0, 'C': 0},\n",
        "        {'a': beer, 'h': [beer], 'I': 0, 'C': 0}]\n",
        "\n",
        "user_embeddings, actions, clicks, impressions = prepare_data(log, product_embeddings)\n",
        "\n",
        "N = user_embeddings.shape[0] \n",
        "\n",
        "fit=model.sampling(data={'w1': 1., 'w2': .5, 'clicks': clicks, 'impressions': impressions,\n",
        "                         'N': N, 'num_products': num_products, 'actions': actions+1,\n",
        "                         'dim': dim, 'product_embeddings': product_embeddings, \n",
        "                         'user_embeddings': user_embeddings})\n",
        "extract = fit.extract()\n",
        "\n",
        "print_best_rec()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "when hist is book, recommend book\n",
            "when hist is journal, recommend journal\n",
            "when hist is rice, recommend rice\n",
            "when hist is salad, recommend salad\n",
            "when hist is beer, recommend beer\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a5sfk7Sgz431",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 575
        },
        "outputId": "694b02ee-433c-427f-b146-e24e5bbf0941"
      },
      "source": [
        "plot_hist(extract, 'ctr', True)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:11: MatplotlibDeprecationWarning: Using a string of single character colors as a color sequence is deprecated. Use an explicit list instead.\n",
            "  # This is added back by InteractiveShellApp.init_path()\n",
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:18: RuntimeWarning: invalid value encountered in true_divide\n"
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          "name": "stderr"
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\n",
            "text/plain": [
              "<Figure size 2160x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "YoO-p2o6Kvxq",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# filled histories\n",
        "log = [{'a': book, 'h': [book], 'I': 1000, 'C': 100},\n",
        "        {'a': journal, 'h': [book], 'I': 1000, 'C': 20},\n",
        "        {'a': rice, 'h': [book], 'I': 0, 'C': 0},        \n",
        "        {'a': salad, 'h': [book], 'I': 0, 'C': 0},\n",
        "        {'a': beer, 'h': [book], 'I': 0, 'C': 0},      \n",
        "         \n",
        "        {'a': book, 'h': [journal], 'I': 1000, 'C': 10},\n",
        "        {'a': journal, 'h': [journal], 'I': 1000, 'C': 10},\n",
        "        {'a': rice, 'h': [journal], 'I': 0, 'C': 0},                          \n",
        "        {'a': salad, 'h': [journal], 'I': 0, 'C': 0},\n",
        "        {'a': beer, 'h': [journal], 'I': 0, 'C': 0},\n",
        "       \n",
        "        {'a': book, 'h': [rice], 'I': 0, 'C': 0},\n",
        "        {'a': journal, 'h': [rice], 'I': 0, 'C': 0},\n",
        "        {'a': rice, 'h': [rice], 'I': 1000, 'C': 10},        \n",
        "        {'a': salad, 'h': [rice], 'I': 1000, 'C': 20},\n",
        "        {'a': beer, 'h': [rice], 'I': 0, 'C': 0},\n",
        "       \n",
        "        {'a': book, 'h': [salad], 'I': 0, 'C': 0},\n",
        "        {'a': journal, 'h': [salad], 'I': 0, 'C': 0},\n",
        "        {'a': rice, 'h': [salad], 'I': 1000, 'C': 20},        \n",
        "        {'a': salad, 'h': [salad], 'I': 1000, 'C': 10},\n",
        "        {'a': beer, 'h': [salad], 'I': 0, 'C': 0},\n",
        "       \n",
        "        {'a': book, 'h': [beer], 'I': 0, 'C': 0},\n",
        "        {'a': journal, 'h': [beer], 'I': 0, 'C': 0},\n",
        "        {'a': rice, 'h': [beer], 'I': 0, 'C': 0},        \n",
        "        {'a': salad, 'h': [beer], 'I': 0, 'C': 0},\n",
        "        {'a': beer, 'h': [beer], 'I': 1000, 'C': 20}]"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KP_iLaPhs1iJ",
        "colab_type": "text"
      },
      "source": [
        "Let's now run Stan model and learn parameters of the model. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "fnSm8GS7yqec",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "user_embeddings, actions, clicks, impressions = prepare_data(log, product_embeddings)\n",
        "\n",
        "N = user_embeddings.shape[0] \n",
        "\n",
        "fit=model.sampling(data={'w1': 1., 'w2': .5, 'clicks': clicks, 'impressions': impressions,\n",
        "                         'N': N, 'num_products': num_products, 'actions': actions+1,\n",
        "                         'dim': dim, 'product_embeddings': product_embeddings, \n",
        "                         'user_embeddings': user_embeddings})\n",
        "extract = fit.extract()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cBq54lGZtC34",
        "colab_type": "text"
      },
      "source": [
        "Now let's plot the results. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "dI3aNTDwokCk",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 101
        },
        "outputId": "540dd12f-0389-4fdc-8857-8a7b19459b28"
      },
      "source": [
        "print_best_rec()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "when hist is book, recommend book\n",
            "when hist is journal, recommend journal\n",
            "when hist is rice, recommend salad\n",
            "when hist is salad, recommend rice\n",
            "when hist is beer, recommend beer\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VPScfLbAyqfr",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 572
        },
        "outputId": "5c975499-b564-4148-a3e3-ba582cf4ba4f"
      },
      "source": [
        "plot_hist(extract, 'ctr', True)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:11: MatplotlibDeprecationWarning: Using a string of single character colors as a color sequence is deprecated. Use an explicit list instead.\n",
            "  # This is added back by InteractiveShellApp.init_path()\n",
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:18: RuntimeWarning: invalid value encountered in true_divide\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
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\n",
            "text/plain": [
              "<Figure size 2160x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yvcoVerpyqgA",
        "colab_type": "text"
      },
      "source": [
        "Now let's see if we get an advantage by using the bandit signal"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "E_dZzzwIpTuq",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 600
        },
        "outputId": "645dc625-e81d-402a-dcc5-ee825b5b2504"
      },
      "source": [
        "plot_hist(extract, 'ctr2', False)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:11: MatplotlibDeprecationWarning: Using a string of single character colors as a color sequence is deprecated. Use an explicit list instead.\n",
            "  # This is added back by InteractiveShellApp.init_path()\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
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\n",
            "text/plain": [
              "<Figure size 2160x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "i7HF7q-wxiRo",
        "colab_type": "text"
      },
      "source": [
        "Let's change the log, so that we have unlucky event. We will have a hisotry with beer, when we showed book, and the user clicked, so we have 100% ctr. "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "x9ynOboMwyQs",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 439
        },
        "outputId": "eb64ffcc-b43e-42a4-bd59-8183e8c77d56"
      },
      "source": [
        "# history with one unlucky event\n",
        "log[-5] = {'C': 1, 'I': 1, 'a': book, 'h': [beer]}\n",
        "log"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[{'C': 100, 'I': 10000, 'a': 0, 'h': [0]},\n",
              " {'C': 20, 'I': 10000, 'a': 1, 'h': [0]},\n",
              " {'C': 0, 'I': 0, 'a': 2, 'h': [0]},\n",
              " {'C': 0, 'I': 0, 'a': 3, 'h': [0]},\n",
              " {'C': 0, 'I': 0, 'a': 4, 'h': [0]},\n",
              " {'C': 10, 'I': 1000, 'a': 0, 'h': [1]},\n",
              " {'C': 10, 'I': 1000, 'a': 1, 'h': [1]},\n",
              " {'C': 0, 'I': 0, 'a': 2, 'h': [1]},\n",
              " {'C': 0, 'I': 0, 'a': 3, 'h': [1]},\n",
              " {'C': 0, 'I': 0, 'a': 4, 'h': [1]},\n",
              " {'C': 0, 'I': 0, 'a': 0, 'h': [2]},\n",
              " {'C': 0, 'I': 0, 'a': 1, 'h': [2]},\n",
              " {'C': 10, 'I': 1000, 'a': 2, 'h': [2]},\n",
              " {'C': 20, 'I': 1000, 'a': 3, 'h': [2]},\n",
              " {'C': 0, 'I': 0, 'a': 4, 'h': [2]},\n",
              " {'C': 0, 'I': 0, 'a': 0, 'h': [3]},\n",
              " {'C': 0, 'I': 0, 'a': 1, 'h': [3]},\n",
              " {'C': 20, 'I': 1000, 'a': 2, 'h': [3]},\n",
              " {'C': 10, 'I': 1000, 'a': 3, 'h': [3]},\n",
              " {'C': 0, 'I': 0, 'a': 4, 'h': [3]},\n",
              " {'C': 1, 'I': 1, 'a': 0, 'h': [4]},\n",
              " {'C': 0, 'I': 0, 'a': 1, 'h': [4]},\n",
              " {'C': 0, 'I': 0, 'a': 2, 'h': [4]},\n",
              " {'C': 0, 'I': 0, 'a': 3, 'h': [4]},\n",
              " {'C': 20, 'I': 1000, 'a': 4, 'h': [4]}]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 124
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "BB6tn4e3yd1n",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "user_embeddings, actions, clicks, impressions = prepare_data(log, product_embeddings)\n",
        "\n",
        "N = user_embeddings.shape[0] \n",
        "\n",
        "fit=model.sampling(data={'w1': 1., 'w2': .5, 'clicks': clicks, 'impressions': impressions,\n",
        "                         'N': N, 'num_products': num_products, 'actions': actions+1,\n",
        "                         'dim': dim, 'product_embeddings': product_embeddings, \n",
        "                         'user_embeddings': user_embeddings})\n",
        "extract = fit.extract()"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "TV4ENh62yqOl",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 101
        },
        "outputId": "dfd06a19-ef65-4c4f-dad5-47d006718672"
      },
      "source": [
        "print_best_rec()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "when hist is city phone, recommend city phone\n",
            "when hist is drone phone, recommend city phone\n",
            "when hist is rice, recommend couscous\n",
            "when hist is couscous, recommend rice\n",
            "when hist is beer, recommend beer\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7Nqft3ASytpk",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 552
        },
        "outputId": "6ea78c17-a2fb-4d78-80a7-4edba75a9ec4"
      },
      "source": [
        "plot_hist(extract, 'ctr', False)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/ipykernel_launcher.py:11: MatplotlibDeprecationWarning: Using a string of single character colors as a color sequence is deprecated. Use an explicit list instead.\n",
            "  # This is added back by InteractiveShellApp.init_path()\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 2160x576 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": [],
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "QQmvFMEyyqiM",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 292
        },
        "outputId": "6d2d37e3-1ef8-4aee-c45b-b04abe90e8d1"
      },
      "source": [
        "plt.imshow(extract['eps'].std(0))"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.image.AxesImage at 0x7f975ac10b70>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 136
        },
        {
          "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": "QwCrSwexyqjf",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        ""
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}