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fastFM_0.2.10_guide.ipynb
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{
"nbformat": 4,
"nbformat_minor": 0,
"metadata": {
"colab": {
"name": "fastFM_0.2.10_guide.ipynb",
"version": "0.3.2",
"provenance": [],
"include_colab_link": true
},
"kernelspec": {
"name": "python3",
"display_name": "Python 3"
}
},
"cells": [
{
"cell_type": "markdown",
"metadata": {
"id": "view-in-github",
"colab_type": "text"
},
"source": [
"[View in Colaboratory](https://colab.research.google.com/gist/yamanetoshi/3416e0d5f3fafad7e0b99983948caf1c/fastfm_0-2-10_guide.ipynb)"
]
},
{
"metadata": {
"id": "oTwrlwZgBl--",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 394
},
"outputId": "2d2de0f0-e00a-464e-c5c1-4fee9397d664"
},
"cell_type": "code",
"source": [
"!pip install fastFM\n",
"!pip install sklearn\n",
"!pip install numpy"
],
"execution_count": 2,
"outputs": [
{
"output_type": "stream",
"text": [
"Collecting fastFM\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/f5/15/fdbb9b9455efa48ffb07b9880a1e567e0c7a7de0acc4aa7f1c5ba9ce4f2c/fastFM-0.2.11-cp36-cp36m-manylinux1_x86_64.whl (483kB)\n",
"\u001b[K 100% |████████████████████████████████| 491kB 7.3MB/s \n",
"\u001b[?25hRequirement already satisfied: numpy in /usr/local/lib/python3.6/dist-packages (from fastFM) (1.14.5)\n",
"Collecting cython (from fastFM)\n",
"\u001b[?25l Downloading https://files.pythonhosted.org/packages/1c/10/ffebdb9faa901c83b69ab7040a1f5f3b2c71899be141752a6d466718c491/Cython-0.28.4-cp36-cp36m-manylinux1_x86_64.whl (3.4MB)\n",
"\u001b[K 100% |████████████████████████████████| 3.4MB 7.4MB/s \n",
"\u001b[?25hRequirement already satisfied: scikit-learn in /usr/local/lib/python3.6/dist-packages (from fastFM) (0.19.2)\n",
"Requirement already satisfied: scipy in /usr/local/lib/python3.6/dist-packages (from fastFM) (0.19.1)\n",
"Installing collected packages: cython, fastFM\n",
"Successfully installed cython-0.28.4 fastFM-0.2.11\n",
"Collecting sklearn\n",
" Downloading https://files.pythonhosted.org/packages/1e/7a/dbb3be0ce9bd5c8b7e3d87328e79063f8b263b2b1bfa4774cb1147bfcd3f/sklearn-0.0.tar.gz\n",
"Requirement already satisfied: scikit-learn in /usr/local/lib/python3.6/dist-packages (from sklearn) (0.19.2)\n",
"Building wheels for collected packages: sklearn\n",
" Running setup.py bdist_wheel for sklearn ... \u001b[?25l-\b \bdone\n",
"\u001b[?25h Stored in directory: /content/.cache/pip/wheels/76/03/bb/589d421d27431bcd2c6da284d5f2286c8e3b2ea3cf1594c074\n",
"Successfully built sklearn\n",
"Installing collected packages: sklearn\n",
"Successfully installed sklearn-0.0\n",
"Requirement already satisfied: numpy in /usr/local/lib/python3.6/dist-packages (1.14.5)\n"
],
"name": "stdout"
}
]
},
{
"metadata": {
"id": "Tpc7rgcjBS0h",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"学習曲線は、モデルの挙動を理解し、早すぎるフィッティングを回避するための早期停止などの技術を使用するための重要なツールです。 fastFMモデルをすべてwarm_startできるので、モデルフィッティング処理中にカスタム統計を効率的に計算できます。 次の例では、RMSEとR ^ 2を使用して列車とテストセットのモデル性能を効率的に監視する方法を示します。 私たちが望む指標でそれらを置き換えることができることに注意してください。"
]
},
{
"metadata": {
"id": "AeNEwb1zBYv2",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 282
},
"outputId": "922a3c85-86f9-461f-8d1c-992f268c28c8"
},
"cell_type": "code",
"source": [
"from fastFM import als\n",
"from fastFM.datasets import make_user_item_regression\n",
"from sklearn.metrics import mean_squared_error, r2_score\n",
"import numpy as np\n",
"\n",
"X, y, coef = make_user_item_regression(label_stdev=.4)\n",
"from sklearn.model_selection import train_test_split\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" X, y, test_size=0.33, random_state=42)\n",
"\n",
"n_iter = 20\n",
"step_size = 1\n",
"l2_reg_w = 0\n",
"l2_reg_V = 0\n",
"\n",
"fm = als.FMRegression(n_iter=0, l2_reg_w=0.1, l2_reg_V=0.1, rank=4)\n",
"# Allocates and initalizes the model parameter.\n",
"fm.fit(X_train, y_train)\n",
"\n",
"rmse_train = []\n",
"rmse_test = []\n",
"r2_score_train = []\n",
"r2_score_test = []\n",
"\n",
"for i in range(1, n_iter):\n",
" fm.fit(X_train, y_train, n_more_iter=step_size)\n",
" y_pred = fm.predict(X_test)\n",
"\n",
" rmse_train.append(np.sqrt(mean_squared_error(fm.predict(X_train), y_train)))\n",
" rmse_test.append(np.sqrt(mean_squared_error(fm.predict(X_test), y_test)))\n",
"\n",
" r2_score_train.append(r2_score(fm.predict(X_train), y_train))\n",
" r2_score_test.append(r2_score(fm.predict(X_test), y_test))\n",
"\n",
"\n",
"from matplotlib import pyplot as plt\n",
"fig, axes = plt.subplots(ncols=2, figsize=(15, 4))\n",
"\n",
"x = np.arange(1, n_iter) * step_size\n",
"with plt.style.context('fivethirtyeight'):\n",
" axes[0].plot(x, rmse_train, label='RMSE-train', color='r', ls=\"--\")\n",
" axes[0].plot(x, rmse_test, label='RMSE-test', color='r')\n",
" axes[1].plot(x, r2_score_train, label='R^2-train', color='b', ls=\"--\")\n",
" axes[1].plot(x, r2_score_test, label='R^2-test', color='b')\n",
"axes[0].set_ylabel('RMSE', color='r')\n",
"axes[1].set_ylabel('R^2', color='b')\n",
"axes[0].legend()\n",
"axes[1].legend()"
],
"execution_count": 3,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f83447754e0>"
]
},
"metadata": {
"tags": []
},
"execution_count": 3
},
{
"output_type": "display_data",
"data": {
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gQW7693drdLWIiJ8p2IkEG7cb666d1SFu2xZseduwFBWd86HN0FDc3XrgSk7G3T0ZV4+e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\nSUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8344775588>"
]
},
"metadata": {
"tags": []
}
}
]
},
{
"metadata": {
"id": "gGWqDS0RB334",
"colab_type": "text"
},
"cell_type": "markdown",
"source": [
"当社のMCMCインプリメンテーションでは、繰り返しごとにモデルとハイパーパラメータをサンプリングし、予測の実行平均を計算します。 MCMCトレースは、MCMCチェーンのコンバージェンスとミキシングの動作を評価するための重要なツールです。 次の例は、warm_startオプションを使用して、予測、ハイパーパラメータ、およびモデルパラメータの統計を効率的に計算する方法を示しています。"
]
},
{
"metadata": {
"id": "TyZmBXTkB9YO",
"colab_type": "code",
"colab": {
"base_uri": "https://localhost:8080/",
"height": 500
},
"outputId": "b563d9e2-e623-4809-d42e-8d483f29e3d4"
},
"cell_type": "code",
"source": [
"import numpy as np\n",
"from sklearn.metrics import mean_squared_error\n",
"from sklearn.model_selection import train_test_split\n",
"\n",
"from fastFM.datasets import make_user_item_regression\n",
"from fastFM import mcmc\n",
"\n",
"n_iter = 100\n",
"step_size = 10\n",
"seed = 123\n",
"rank = 3\n",
"\n",
"X, y, coef = make_user_item_regression(label_stdev=.4)\n",
"X_train, X_test, y_train, y_test = train_test_split(\n",
" X, y, test_size=0.33)\n",
"\n",
"fm = mcmc.FMRegression(n_iter=0, rank=rank, random_state=seed)\n",
"# Allocates and initalizes the model and hyper parameter.\n",
"fm.fit_predict(X_train, y_train, X_test)\n",
"\n",
"rmse_test = []\n",
"rmse_new = []\n",
"hyper_param = np.zeros((n_iter -1, 3 + 2 * rank), dtype=np.float64)\n",
"for nr, i in enumerate(range(1, n_iter)):\n",
" fm.random_state = i * seed\n",
" y_pred = fm.fit_predict(X_train, y_train, X_test, n_more_iter=step_size)\n",
" rmse_test.append(np.sqrt(mean_squared_error(y_pred, y_test)))\n",
" hyper_param[nr, :] = fm.hyper_param_\n",
"\n",
"values = np.arange(1, n_iter)\n",
"x = values * step_size\n",
"burn_in = 5\n",
"x = x[burn_in:]\n",
"\n",
"from matplotlib import pyplot as plt\n",
"fig, axes = plt.subplots(nrows=2, ncols=2, sharex=True, figsize=(15, 8))\n",
"\n",
"axes[0, 0].plot(x, rmse_test[burn_in:], label='test rmse', color=\"r\")\n",
"axes[0, 0].legend()\n",
"axes[0, 1].plot(x, hyper_param[burn_in:,0], label='alpha', color=\"b\")\n",
"axes[0, 1].legend()\n",
"axes[1, 0].plot(x, hyper_param[burn_in:,1], label='lambda_w', color=\"g\")\n",
"axes[1, 0].legend()\n",
"axes[1, 1].plot(x, hyper_param[burn_in:,3], label='mu_w', color=\"g\")\n",
"axes[1, 1].legend()"
],
"execution_count": 5,
"outputs": [
{
"output_type": "execute_result",
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f8340a84898>"
]
},
"metadata": {
"tags": []
},
"execution_count": 5
},
{
"output_type": "display_data",
"data": {
"image/png": 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ZU37OR85cby8gSUKyAiIXAjwn0k6OHRPw3e+WYv16J159tRfz5lkXYWpnDgBm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ZpXJb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ML4BiUZOz94SahmfCZsXpoxbx1Xe38MXlG1m99DPeuXgVBcYCfvfv+5RSmmBarC1c//51GLQG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\nIhniMkdERERERCRDfwCvJG2Yqn+rjwAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7f8340a003c8>"
]
},
"metadata": {
"tags": []
}
}
]
}
]
}
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