{"nbformat":4,"nbformat_minor":0,"metadata":{"colab":{"name":"gradient_descent.ipynb のコピー","provenance":[{"file_id":"1OIbupBdo8tqDlOdeeBjDlTubpDdhMlMu","timestamp":1617281530825}],"toc_visible":true,"authorship_tag":"ABX9TyMW5zFD9kAIqEdK9ANMxB7p"},"kernelspec":{"name":"python3","display_name":"Python 3"},"language_info":{"name":"python"}},"cells":[{"cell_type":"markdown","metadata":{"id":"ZxaUjlLNY6Is"},"source":["# 1次元データセットを通した勾配法の理解\n","- 参考\n","  - [Pythonで動かして学ぶ！あたらしい機械学習の教科書 第2版](https://www.shoeisha.co.jp/book/detail/9784798159911), 5.1節\n","\n","## 達成目標\n","- モデル設計、コスト関数設計、最適パラメータの探索を通した「学習のイメージ」を掴む。\n","- 勾配法を理解する。\n","  - 勾配法自体は機械学習オリジナルの話ではありません。古くは[オペレーションズ・リサーチ](https://ja.wikipedia.org/wiki/オペレーションズ・リサーチ)等における何かしらの最適解を効率よく求める科学技術における古典的（代表的）なアルゴリズムの一つ。\n","\n","## 全体の流れ\n","- step 1: 動作確認用のデータセットを用意（手動作成）する。\n","- step 2: 線形回帰モデルによるMSE空間の観察。\n","- step 3: 勾配法によるパラメータ探索の様子を確認。\n","- step 4: 探索により得たパラメータの良し悪しを確認。"]},{"cell_type":"code","metadata":{"id":"H3CIAXNGWNSy","executionInfo":{"status":"ok","timestamp":1617281495472,"user_tz":-540,"elapsed":992,"user":{"displayName":"TOMA Naruaki","photoUrl":"","userId":"11747312442870110137"}}},"source":["from typing import List, Union, Any\n","\n","import numpy as np\n","import matplotlib.pyplot as plt"],"execution_count":1,"outputs":[]},{"cell_type":"markdown","metadata":{"id":"WHrZfPU7er3s"},"source":["## step 1: 動作確認用のデータセットを用意（手動作成）する。"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/"},"id":"a58YaiSfWXRe","executionInfo":{"status":"ok","timestamp":1617281495473,"user_tz":-540,"elapsed":988,"user":{"displayName":"TOMA Naruaki","photoUrl":"","userId":"11747312442870110137"}},"outputId":"e3fe364a-a6a5-4a4f-920e-ad0773718fd7"},"source":["def true_function(x: np.ndarray) -> np.ndarray:\n","    \"\"\"真のモデル\n","    本来は取得し得ない真のモデルを関数として表現したもの。\n","    Arguments:\n","        x (np.ndarray): サンプリング点の集合。\n","    Returns:\n","        np.ndarray: サンプリング点に対する真の値。\n","    \"\"\"\n","    return 170 - 108 * np.exp(-0.2*x)\n","\n","def make_dataset(num_of_samples: int, x_min: float, x_max: float,\n","                random_seed=0) -> Any:\n","    \"\"\"真のモデルを用いてデータセットを作成。\n","    サンプリングの範囲は[x_min, x_max)。\n","    Arguments:\n","        num_of_samples (int): サンプル数。\n","        x_min, x_max (float): サンプリング範囲。\n","        random_seed (int): シード値。\n","    Returns:\n","        x (np.ndarray): サンプル点。\n","        teach (np.ndarray): サンプル点に対する観測値。true_funcionにノイズを付与。\n","    \"\"\"\n","    np.random.seed(random_seed)\n","    x = np.random.rand(num_of_samples) * (x_max - x_min) + x_min\n","    noisy = np.random.rand(num_of_samples) * 2\n","    teach = true_function(x) + noisy\n","    return x, teach\n","\n","num_of_samples = 20\n","x_min = -1.0\n","x_max = 1.0\n","x, teach = make_dataset(num_of_samples, x_min, x_max)\n","print(len(x), x)\n","print(len(teach), teach)"],"execution_count":2,"outputs":[{"output_type":"stream","text":["20 [ 0.09762701  0.43037873  0.20552675  0.08976637 -0.1526904   0.29178823\n"," -0.12482558  0.783546    0.92732552 -0.23311696  0.58345008  0.05778984\n","  0.13608912  0.85119328 -0.85792788 -0.8257414  -0.95956321  0.66523969\n","  0.5563135   0.7400243 ]\n","20 [66.04552636 72.50564637 67.2723329  65.48271027 58.88756061 69.40209033\n"," 59.55653639 79.55445243 81.32617169 57.67476978 74.4241239  64.78954195\n"," 65.81218245 80.04281038 41.82152035 43.84192567 40.37520695 76.68817051\n"," 75.25949882 78.22153279]\n"],"name":"stdout"}]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":295},"id":"vPa5i7kVWwkL","executionInfo":{"status":"ok","timestamp":1617281495852,"user_tz":-540,"elapsed":1359,"user":{"displayName":"TOMA Naruaki","photoUrl":"","userId":"11747312442870110137"}},"outputId":"524b7537-215c-4f9e-de74-41f8acf0bde6"},"source":["def plot_rawdata(raw_x: np.ndarray, raw_teach: np.ndarray, x_min: float, x_max: float) -> None:\n","    \"\"\"データセットを描画。\n","    Arguments:\n","        raw_x (np.ndarray): 入力値。\n","        raw_teach (np.ndarray): 観測値。\n","        x_min, x_max (float): 定義域（データセットのサンプリング範囲）。\n","    \"\"\"\n","    plt.figure()\n","    plt.scatter(raw_x, raw_teach)\n","    plt.title(\"dataset\")\n","    plt.xlabel(\"x\")\n","    plt.ylabel(\"teach\")\n","    plt.xlim(x_min, x_max)\n","    plt.grid(True)\n","    plt.show()\n","    #plt.savefig(\"rawdata.svg\")\n","\n","plot_rawdata(x, teach, x_min, x_max)"],"execution_count":3,"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":"markdown","metadata":{"id":"DbBQ08Giev_B"},"source":["## step 2: 線形回帰モデルによるMSE空間の観察。"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":338},"id":"OLNG-_j9XIKm","executionInfo":{"status":"ok","timestamp":1617281497015,"user_tz":-540,"elapsed":2515,"user":{"displayName":"TOMA Naruaki","photoUrl":"","userId":"11747312442870110137"}},"outputId":"ce1e660e-1468-4c74-94fa-0abaedc14754"},"source":["def model(input: np.ndarray, weights: List[Union[float, int]]) -> np.ndarray:\n","    \"\"\"回帰モデルによる予測。\n","    Arguments:\n","        input (np.ndarray): モデルに対する入力。\n","        weights (list[number]): モデルの重み。\n","    Returns:\n","        predicted (np.ndarray): 入力に対する予測結果。\n","    \"\"\"\n","    predicted = weights[0] + weights[1] * input\n","    return predicted\n","\n","def calc_mse(input: np.ndarray, teach: np.ndarray, weights: List[Union[int, float]]):\n","    \"\"\"MSE (Mean Squared Error) 算出。\n","    Arguments:\n","        input (np.ndarray): データセット（入力）。\n","        teach (np.ndarray): データセット（出力、観測値）。\n","        weights (list[number]): モデルの重み。\n","    Returns:\n","        mse (np.ndarray): MSE。\n","    \"\"\"\n","    predicted = model(input, weights)\n","    mse = np.mean((predicted - teach)**2)\n","    return mse\n","\n","def plot_mse(input: np.ndarray, teach: np.ndarray, weights_history=[None]):\n","    \"\"\"重みに伴うMSE起伏の描画。\n","    Argumtns:\n","        input (np.ndarray): データセット（入力）。\n","        teach (np.ndarray): データセット（出力、観測値）。\n","        weights_history (np.ndarray): 勾配法による探索点移動のヒストリ。\n","    \"\"\"\n","    dots = 100\n","    w0 = np.linspace(-400, 400, dots)\n","    w1 = np.linspace(-200, 200, dots)\n","    ww0, ww1 = np.meshgrid(w0, w1)\n","    MSE = np.zeros((len(w0), len(w1)))\n","    for i0 in range(dots):\n","        for i1 in range(dots):\n","            weights = [w0[i0], w1[i1]]\n","            MSE[i0, i1] = calc_mse(input, teach, weights)\n","    fig = plt.figure(figsize=(10, 5))\n","    plt.subplots_adjust(wspace=0.5)\n","    ax1 = fig.add_subplot(1, 2, 1, projection='3d')\n","    ax1.plot_surface(ww0, ww1, MSE, rstride=10, cstride=10, alpha=0.3, color='blue', edgecolor='black')\n","    ax1.set_xlabel(\"w0\")\n","    ax1.set_ylabel(\"w1\")\n","    ax1.set_zlabel(\"MSE\")\n","    ax2 = fig.add_subplot(1, 2, 2)\n","    if len(weights_history) == 1:\n","        cont = ax2.contour(ww0, ww1, MSE, 30, colors='black', levels=[100, 1000, 10000, 100000])\n","        ax2.set_xlabel(\"w0\")\n","        ax2.set_ylabel(\"w1\")\n","        cont.clabel(fmt='%1.0f', fontsize=8)\n","        ax2.grid(True)    \n","        #plt.show()\n","        plt.savefig('mse.svg')\n","    else:\n","        cont = ax2.contour(ww0, ww1, MSE, 30, colors='black', levels=[100, 1000, 10000, 100000])\n","        ax2.set_xlabel(\"w0\")\n","        ax2.set_ylabel(\"w1\")\n","        cont.clabel(fmt='%1.0f', fontsize=8)\n","        ax2.grid(True)\n","        ax2.scatter(weights_history[:,0], weights_history[:,1])\n","        plt.show()\n","        #plt.savefig('mse-history.svg')\n","\n","plot_mse(x, teach)"],"execution_count":4,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 720x360 with 2 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"f4WVL62hezbm"},"source":["## step 3: 勾配法によるパラメータ探索の様子を確認。"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":542},"id":"NGaBksVdXfSh","executionInfo":{"status":"ok","timestamp":1617281497799,"user_tz":-540,"elapsed":3292,"user":{"displayName":"TOMA Naruaki","photoUrl":"","userId":"11747312442870110137"}},"outputId":"e910e87d-efbb-408e-b9f3-b4033a5efd31"},"source":["def calc_slope(input: np.ndarray, teach: np.ndarray, weights: List[Union[int, float]]):\n","    \"\"\"重み空間における傾きの算出。\n","    Argumtns:\n","        input (np.ndarray): データセット（入力）。\n","        teach (np.ndarray): データセット（出力、観測値）。\n","        weights (list[number]): モデルの重み。\n","    Returns:\n","        slope_w0, slope_w1 (float): 各変数に対する傾き。\n","    \"\"\"\n","    predicted = model(input, weights)\n","    slope_w0 = np.mean(predicted - teach)\n","    slope_w1 = np.mean((predicted - teach) * input)\n","    return slope_w0, slope_w1\n","\n","def gradient_descent(input: np.ndarray, teach: np.ndarray, alpha=0.5):\n","    \"\"\"勾配法による適正重み探索。\n","    Arguments:\n","        input (np.ndarray): データセット（入力）。\n","        teach (np.ndarray): データセット（出力、観測値）。\n","        alpha (float > 0): 学習率（移動幅調整用パラメータ）。\n","    Returns:\n","        weights_history (np.ndarray): 探索した重みの履歴。\n","    \"\"\"\n","    moving_max_count = 10\n","    weights_history = np.zeros((moving_max_count+1, 2))\n","    weights_history[0][0] = 300.\n","    weights_history[0][1] = -150.\n","    print(\"# begin gradin_descent\")\n","    print(\"history_id, [w0, w1], (slope0, slope1)\")\n","    for i in range(moving_max_count):\n","        slope = calc_slope(input, teach, weights_history[i])\n","        print(i, weights_history[i], slope)\n","        weights_history[i+1][0] = weights_history[i][0] - alpha * slope[0]\n","        weights_history[i+1][1] = weights_history[i][1] - alpha * slope[1]\n","    return weights_history\n","\n","weights_history = gradient_descent(x, teach)\n","plot_mse(x, teach, weights_history)"],"execution_count":5,"outputs":[{"output_type":"stream","text":["# begin gradin_descent\n","history_id, [w0, w1], (slope0, slope1)\n","0 [ 300. -150.] (209.5843370987155, -18.219739876727658)\n","1 [ 195.20783145 -140.89013006] (106.27807623785165, -32.29587907509851)\n","2 [ 142.06879333 -124.74219052] (55.77292286969848, -35.61643748697637)\n","3 [ 114.1823319  -106.93397178] (30.791153744219667, -34.268302684684514)\n","4 [ 98.78675502 -89.79982044] (18.190322284246538, -31.105982356045622)\n","5 [ 89.69159388 -74.24682926] (11.632004074773572, -27.439559699578734)\n","6 [ 83.87559185 -60.52704941] (8.053830513663275, -23.845290405750553)\n","7 [ 79.84867659 -48.60440421] (5.971613731562999, -20.554273880259718)\n","8 [ 76.86286972 -38.32726727] (4.6621070652754835, -17.63830584600503)\n","9 [ 74.53181619 -29.50811434] (3.769542470784592, -15.098311214151176)\n"],"name":"stdout"},{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 720x360 with 2 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"markdown","metadata":{"id":"4Yz5JV1je5ZK"},"source":["## step 4: 探索により得たパラメータの良し悪しを確認。"]},{"cell_type":"code","metadata":{"colab":{"base_uri":"https://localhost:8080/","height":398},"id":"83-XAWb9XwYK","executionInfo":{"status":"ok","timestamp":1617281498756,"user_tz":-540,"elapsed":4242,"user":{"displayName":"TOMA Naruaki","photoUrl":"","userId":"11747312442870110137"}},"outputId":"358e6d6c-704f-4a95-9c5a-756f4658bcb7"},"source":["def plot_predictive_model(input, teach, x_min, x_max, weights_history):\n","    \"\"\"重み履歴を用いた予測モデルの描画。\n","    Arguments:\n","        input (np.ndarray): データセット（入力）。\n","        teach (np.ndarray): データセット（出力、観測値）。\n","        x_min, x_max (float): データセット範囲。\n","        weights_history (np.ndarray): 探索した重みの履歴。\n","    \"\"\"\n","    base = np.linspace(x_min, x_max, 100)\n","    predicted = []\n","    for i in range(len(weights_history)):\n","        w0 = weights_history[i][0]\n","        w1 = weights_history[i][1]\n","        predicted.append(w0 + w1 * base)\n","    plt.figure(figsize=(13,8))\n","    for i in range(len(weights_history)):\n","        line, = plt.plot(base, predicted[i])\n","        line.set_label('weinghts_hisotiry: {}'.format(i))\n","    plt.scatter(input, teach)\n","    plt.xlabel(\"x\")\n","    plt.ylabel(\"teach\")\n","    plt.xlim(x_min, x_max)\n","    plt.grid(True)\n","    plt.legend(loc='upper right', fontsize=13)\n","    plt.savefig('predicted_mode.svg')\n","\n","plot_predictive_model(x, teach, x_min, x_max, weights_history)"],"execution_count":6,"outputs":[{"output_type":"display_data","data":{"image/png":"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\n","text/plain":["<Figure size 936x576 with 1 Axes>"]},"metadata":{"tags":[],"needs_background":"light"}}]},{"cell_type":"code","metadata":{"id":"vHZkNqFIYBK4","executionInfo":{"status":"ok","timestamp":1617281498757,"user_tz":-540,"elapsed":4242,"user":{"displayName":"TOMA Naruaki","photoUrl":"","userId":"11747312442870110137"}}},"source":[""],"execution_count":6,"outputs":[]}]}