|
| 1 | +{ |
| 2 | + "cells": [ |
| 3 | + { |
| 4 | + "cell_type": "markdown", |
| 5 | + "id": "60b9cc4f", |
| 6 | + "metadata": {}, |
| 7 | + "source": [ |
| 8 | + "# Synthetic Experiments" |
| 9 | + ] |
| 10 | + }, |
| 11 | + { |
| 12 | + "cell_type": "markdown", |
| 13 | + "id": "984f8af4", |
| 14 | + "metadata": {}, |
| 15 | + "source": [ |
| 16 | + "## Sample synthetic data" |
| 17 | + ] |
| 18 | + }, |
| 19 | + { |
| 20 | + "cell_type": "code", |
| 21 | + "execution_count": null, |
| 22 | + "id": "d8f8d31b", |
| 23 | + "metadata": {}, |
| 24 | + "outputs": [], |
| 25 | + "source": [ |
| 26 | + "import sys\n", |
| 27 | + "sys.path.append(\"../\")\n", |
| 28 | + "import matplotlib.pyplot as plt\n", |
| 29 | + "import numpy as np\n", |
| 30 | + "\n", |
| 31 | + "import choice_learn\n", |
| 32 | + "from python.data import SyntheticDataGenerator\n", |
| 33 | + "from choice_learn.basket_models import Trip, TripDataset" |
| 34 | + ] |
| 35 | + }, |
| 36 | + { |
| 37 | + "cell_type": "markdown", |
| 38 | + "id": "b3024007", |
| 39 | + "metadata": {}, |
| 40 | + "source": [ |
| 41 | + "## Sample purchased baskets" |
| 42 | + ] |
| 43 | + }, |
| 44 | + { |
| 45 | + "cell_type": "code", |
| 46 | + "execution_count": null, |
| 47 | + "id": "ed8a74e6", |
| 48 | + "metadata": {}, |
| 49 | + "outputs": [], |
| 50 | + "source": [ |
| 51 | + "items_nests = {0:[0, 1, 2],\n", |
| 52 | + "1: [3, 4, 5],\n", |
| 53 | + "2: [6],\n", |
| 54 | + "3: [7]}\n", |
| 55 | + "\n", |
| 56 | + "nests_interactions = [[\"\", \"compl\", \"neutral\", \"neutral\"],\n", |
| 57 | + "[\"compl\", \"\", \"neutral\", \"neutral\"],\n", |
| 58 | + "[\"neutral\", \"neutral\", \"\", \"neutral\"],\n", |
| 59 | + "[\"neutral\", \"neutral\", \"neutral\", \"\"]]\n", |
| 60 | + "\n", |
| 61 | + "data_gen = SyntheticDataGenerator(items_nest=items_nests, nests_interactions=nests_interactions)" |
| 62 | + ] |
| 63 | + }, |
| 64 | + { |
| 65 | + "cell_type": "code", |
| 66 | + "execution_count": null, |
| 67 | + "id": "9c3f06eb", |
| 68 | + "metadata": {}, |
| 69 | + "outputs": [], |
| 70 | + "source": [ |
| 71 | + "dataset = data_gen.generate_dataset(n_baskets=1000)" |
| 72 | + ] |
| 73 | + }, |
| 74 | + { |
| 75 | + "cell_type": "code", |
| 76 | + "execution_count": null, |
| 77 | + "id": "51791e7e", |
| 78 | + "metadata": {}, |
| 79 | + "outputs": [], |
| 80 | + "source": [ |
| 81 | + "trip_list = []\n", |
| 82 | + "for basket in dataset:\n", |
| 83 | + " trip_list.append(Trip(purchases=basket, prices=np.zeros((8, )), assortment=0))\n", |
| 84 | + "\n", |
| 85 | + "trip_dataset = TripDataset(trips=trip_list, available_items=np.ones((1, 8)))" |
| 86 | + ] |
| 87 | + }, |
| 88 | + { |
| 89 | + "cell_type": "markdown", |
| 90 | + "id": "52b4b18c", |
| 91 | + "metadata": {}, |
| 92 | + "source": [ |
| 93 | + "## Modelling " |
| 94 | + ] |
| 95 | + }, |
| 96 | + { |
| 97 | + "cell_type": "code", |
| 98 | + "execution_count": null, |
| 99 | + "id": "3d6c32e2", |
| 100 | + "metadata": {}, |
| 101 | + "outputs": [], |
| 102 | + "source": [ |
| 103 | + "from choice_learn.basket_models import AleaCarta" |
| 104 | + ] |
| 105 | + }, |
| 106 | + { |
| 107 | + "cell_type": "code", |
| 108 | + "execution_count": null, |
| 109 | + "id": "6ef517b6", |
| 110 | + "metadata": {}, |
| 111 | + "outputs": [], |
| 112 | + "source": [ |
| 113 | + "latent_sizes = {\"preferences\": 6, \"price\": 3, \"season\": 3}\n", |
| 114 | + "n_negative_samples = 2\n", |
| 115 | + "optimizer = \"adam\"\n", |
| 116 | + "lr = 1e-2\n", |
| 117 | + "epochs = 200\n", |
| 118 | + "batch_size = 32\n", |
| 119 | + "\n", |
| 120 | + "model = AleaCarta(\n", |
| 121 | + " item_intercept=False,\n", |
| 122 | + " price_effects=False,\n", |
| 123 | + " seasonal_effects=False,\n", |
| 124 | + " latent_sizes=latent_sizes,\n", |
| 125 | + " n_negative_samples=n_negative_samples,\n", |
| 126 | + " optimizer=optimizer,\n", |
| 127 | + " lr=lr,\n", |
| 128 | + " epochs=epochs,\n", |
| 129 | + " batch_size=batch_size,\n", |
| 130 | + ")\n", |
| 131 | + "\n", |
| 132 | + "model.instantiate(n_items=8, n_stores=2)" |
| 133 | + ] |
| 134 | + }, |
| 135 | + { |
| 136 | + "cell_type": "code", |
| 137 | + "execution_count": null, |
| 138 | + "id": "2f8a915e", |
| 139 | + "metadata": {}, |
| 140 | + "outputs": [], |
| 141 | + "source": [ |
| 142 | + "history = model.fit(trip_dataset)" |
| 143 | + ] |
| 144 | + }, |
| 145 | + { |
| 146 | + "cell_type": "code", |
| 147 | + "execution_count": null, |
| 148 | + "id": "1c78ef41", |
| 149 | + "metadata": {}, |
| 150 | + "outputs": [], |
| 151 | + "source": [ |
| 152 | + "plt.plot(history[\"train_loss\"])\n", |
| 153 | + "plt.xlabel(\"Epoch\")\n", |
| 154 | + "plt.ylabel(\"Training Loss\")\n", |
| 155 | + "plt.legend()\n", |
| 156 | + "plt.title(\"Training of Shopper\")\n", |
| 157 | + "plt.show()" |
| 158 | + ] |
| 159 | + }, |
| 160 | + { |
| 161 | + "cell_type": "markdown", |
| 162 | + "id": "f337217b", |
| 163 | + "metadata": {}, |
| 164 | + "source": [ |
| 165 | + "## Results" |
| 166 | + ] |
| 167 | + }, |
| 168 | + { |
| 169 | + "cell_type": "code", |
| 170 | + "execution_count": null, |
| 171 | + "id": "e4008d65", |
| 172 | + "metadata": {}, |
| 173 | + "outputs": [], |
| 174 | + "source": [ |
| 175 | + "import matplotlib.pyplot as plt\n", |
| 176 | + "import matplotlib as mpl\n", |
| 177 | + "import numpy as np\n", |
| 178 | + "\n", |
| 179 | + "fig, axes = plt.subplots(nrows=1, ncols=1, figsize=(5, 5))\n", |
| 180 | + "mask = np.ones((8,8), dtype=bool)\n", |
| 181 | + "res = []\n", |
| 182 | + "for i in range(8):\n", |
| 183 | + " r = model.compute_batch_utility(item_batch=np.array(list(range(8))),\n", |
| 184 | + " basket_batch=np.array([[i] for _ in range(8)]) ,\n", |
| 185 | + " store_batch=np.array([0, 0, 0, 0, 0, 0, 0, 0]),\n", |
| 186 | + " week_batch=np.array([0, 0, 0, 0, 0, 0, 0, 0]),\n", |
| 187 | + " price_batch=np.array([[0, 0, 0, 0, 0, 0] for _ in range(8)]))\n", |
| 188 | + " m = np.ones(8)\n", |
| 189 | + " m[i] = 0\n", |
| 190 | + " den = np.exp(r) * m\n", |
| 191 | + " r = den / den.sum()\n", |
| 192 | + " # r = np.concatenate([tf.nn.softmax(np.concatenate([r[:i], r[i+1:]]))[:i], [.0], tf.nn.softmax(np.concatenate([r[:i], r[i+1:]]))[i:]])\n", |
| 193 | + " res.append(r)\n", |
| 194 | + " mask[i][i] = False\n", |
| 195 | + "\n", |
| 196 | + "res = np.stack(res)\n", |
| 197 | + "mask = np.ma.masked_where(mask, res)\n", |
| 198 | + "\n", |
| 199 | + "axes.set_xticks([], [])\n", |
| 200 | + "axes.set_yticks([], [])\n", |
| 201 | + "im = axes.imshow(np.stack(res), cmap=\"Spectral\", alpha=0.99, vmin=0, vmax=1)\n", |
| 202 | + "axes.imshow(mask, cmap=mpl.colors.ListedColormap(['white']), alpha=1)\n", |
| 203 | + "\n", |
| 204 | + "cbar_ax = fig.add_axes([0.92, 0.15, 0.02, 0.69])\n", |
| 205 | + "fig.colorbar(im, cax=cbar_ax)\n", |
| 206 | + "axes.set_title(\"Estimated Conditional Probabilities\")" |
| 207 | + ] |
| 208 | + }, |
| 209 | + { |
| 210 | + "cell_type": "markdown", |
| 211 | + "id": "1089cdb5", |
| 212 | + "metadata": {}, |
| 213 | + "source": [] |
| 214 | + } |
| 215 | + ], |
| 216 | + "metadata": { |
| 217 | + "kernelspec": { |
| 218 | + "display_name": "with_choice_learn", |
| 219 | + "language": "python", |
| 220 | + "name": "python3" |
| 221 | + }, |
| 222 | + "language_info": { |
| 223 | + "codemirror_mode": { |
| 224 | + "name": "ipython", |
| 225 | + "version": 3 |
| 226 | + }, |
| 227 | + "file_extension": ".py", |
| 228 | + "mimetype": "text/x-python", |
| 229 | + "name": "python", |
| 230 | + "nbconvert_exporter": "python", |
| 231 | + "pygments_lexer": "ipython3", |
| 232 | + "version": "3.12.11" |
| 233 | + } |
| 234 | + }, |
| 235 | + "nbformat": 4, |
| 236 | + "nbformat_minor": 5 |
| 237 | +} |
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