{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 多項式曲線フィッティング (2): 過学習を防ぐ「正則化」項とscikit-learn利用の暫定まとめ\n", "\n", "
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\n", "\n", "## (先週話したことの補足)\n", "\n", "数学的な詳細の理解には時間がかかるが、\n", "\n", "> **2乗誤差最小化問題という多変数関数の極値(最小値)問題が線形代数の(行列)計算に帰着できる**\n", " \n", "ということに注目してほしい。これは評価関数が2次関数の線形結合になっている場合に限られるが、「計画行列」の活用は後のカーネル法などにも引き継がれる。\n", "\n", "(注) 関数の極値問題は勾配法(一変数の場合はニュートン法と呼ばれる)による繰り返し計算を行うことが多い(たとえば、https://fussy.web.fc2.com/algo/math10_extreme.htm)。\n", "\n", "多数の局所的な極小がたくさんある場合は困難であり、様々なシミュレーション的方法が行われている。\n", "\n", "\n", "## 今週の話\n", "\n", "\"IPython Interactive Computing and Visualization Cookbook\" (O'Reilly, 2018)のサンプルプログラム8.1を例に\n", "(現在、原文はhttps://ipython-books.github.io/ にて閲覧できる。)\n", "\n", "模式図はPRMLより。\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2乗誤差最小化 (復習)\n", "\n", "説明変数$x$に対する目的変数$y$について、$M$次関数でのフィッティングを考える:\n", "$$\n", " y(x, {\\bf w}) = w_0 + w_1 x + w_2 x^2 + \\cdots + w_M x^M = \\sum_{j=0}^{M} w_j x^j\n", "$$\n", "データ$\\{(x_n, t_n)\\}$ ($n=1,\\cdots N$)があったときに、\n", "2乗誤差\n", "$$\n", "E({\\bf w}) = \\frac{1}{2} \\sum_{n=1}^N \\{y(x_n,{\\bf w}) - t_n\\}^2\n", "$$\n", "を最小にするよう${\\bf w}$を決める。\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "説明用に、PRMLに載っている図を載せておく。\n", "\n", "最小2乗法の模式図:\n", "\n", "\n", "\n", "\n", "$\\sin$カーブにノイズを載せたテストデータをべき関数フィッティングしてみた例:次数$M$をが大きいほうが全データにあうフィッティングができるが、不自然であることがわかるだろう。($M$が次数)\n", "\n", "\n", "\n", "\n", "\n", "一般に高次項の係数がとても大きくなる。(前回の関数フィッティングのプログラムで係数を表示してみてほしい。function_fitting.htmlの最後のセルにあるプリント文のコメントを外せばよい。)\n", "\n", "それを抑える工夫が次に述べるリッジ回帰、ラッソ回帰と呼ばれるものである。\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## リッジ回帰とラッソ回帰\n", "\n", "過学習を防ぐために、次のような係数に対する2次関数を付加し、その最小化を図る。この項は大きな係数の方が不利になるので、高次の項の「暴発」が抑えられる。\n", "\n", "$$\n", "\\tilde{E}({\\bf w}) = \\frac{1}{2} \\sum_{n=1}^N \\{y(x_n,{\\bf w}) - t_n\\}^2 + \\frac{\\lambda}{2}||{\\bf w}||^2\n", "$$\n", "\n", "これはリッジ回帰(ridge regression)を呼ばれる。ニューラルネットでは、荷重減衰(weight decay)として知られている。(下に述べるように第2項をノルムの1乗にしたものがラッソ回帰である。)\n", "\n", "また、このことを正則化(regularization)と呼ぶ。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### リッジ回帰における重み係数\n", "\n", "上記のPRMLの事例にある式で係数$\\lambda$を固定して最小化を行った例($M=9$):$\\lambda$が大きいと加重がきつくフィッティングされにくくなる。リッジ回帰では$\\lambda$を手入力で与える必要がある。(下で試すscikit-learnでは**alpha**という引数で指定)\n", "\n", "\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### pythonスクリプトでの実例\n", "\n", "#### サンプルデータの作成\n", "\n", "まずは前回同様、サンプルデータを作っておく。 (sinカーブでなくてもよい)\n", "\n", "ここでは、無名関数fを定義し、それにランダムデータを加える形でデータを作成してみる。\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "フィッティング関数の次数=2\n", "切片= 0.29932136810589793\n", "係数= -0.058 0.051 0.000\n", "フィッティング関数の次数=5\n", "切片= 1.0067129477813304\n", "係数= 0.097 -1.184 4.823 -7.132 2.064 0.000\n", "フィッティング関数の次数=10\n", "切片= 0.8572252716535681\n", "係数= -0.002 0.040 -0.327 1.367 -2.904 2.445 -0.018 2.986 -8.610 3.721 0.000\n" ] }, { "data": { "text/plain": [ "(-2.0, 2.0)" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# 今まで試してきた多項式近似の復習\n", "import numpy as np\n", "import random\n", "import sklearn.linear_model as lm\n", "import matplotlib.pyplot as plt\n", "\n", "f_cos = lambda x: np.cos(2.0*x) # サンプルデータを作るためのベース関数: このような関数定義の記述方法もある\n", "\n", "# データ数\n", "n_tr = 20\n", "x_max = 5.0 # xの範囲 [0, x_max]\n", "x = np.linspace(0., x_max, n_tr)\n", "y = f_cos(x) + np.random.randn(len(x))*0.3\n", "\n", "\n", "# 単純な多項式近似\n", "lrp = lm.LinearRegression()\n", "\n", "for deg in [2,5,10]: # 最大べき\n", " power_matrix_x = np.vander(x, deg+1) # 計画行列の作成\n", " lrp.fit(power_matrix_x, y)\n", " # モデルの係数表示\n", " print('フィッティング関数の次数=' + str(deg))\n", " print('切片= ' + str(lrp.intercept_))\n", " print('係数= ' + ' '. join(['%.3f' % c for c in lrp.coef_]))\n", " # 予測\n", " x_lrp = np.linspace(0., x_max*1.2, 100)\n", " y_lrp = lrp.predict(np.vander(x_lrp, deg+1))\n", " # 近似曲線の描画\n", " plt.plot(x_lrp, y_lrp)\n", "\n", "# データの描画\n", "plt.plot(x, y, \"ob\", ms=8)\n", "plt.ylim(-2.0,2.0)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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x^4x^3x^2x^1x^0y
00.0000000.0000000.0000000.0000001.00.868819
10.0047960.0182240.0692520.2631581.01.226901
20.0767340.1457940.2770080.5263161.01.057635
30.3884640.4920540.6232690.7894741.00.085984
41.2277381.1663511.1080331.0526321.0-0.646647
\n", "
" ], "text/plain": [ " x^4 x^3 x^2 x^1 x^0 y\n", "0 0.000000 0.000000 0.000000 0.000000 1.0 0.868819\n", "1 0.004796 0.018224 0.069252 0.263158 1.0 1.226901\n", "2 0.076734 0.145794 0.277008 0.526316 1.0 1.057635\n", "3 0.388464 0.492054 0.623269 0.789474 1.0 0.085984\n", "4 1.227738 1.166351 1.108033 1.052632 1.0 -0.646647" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# (参考) 説明変数と目的変数データの一覧表示\n", "import pandas as pd\n", "power_matrix_x = np.vander(x, 5)\n", "df = pd.DataFrame(power_matrix_x, columns=[\"x^4\", \"x^3\", \"x^2\", \"x^1\", \"x^0\"])\n", "df[\"y\"] = y\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### scikit-learnのリッジ回帰\n", "\n", "マニュアルページ:\n", "https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.Ridge.html\n" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# リッジ回帰 alpha(正則化係数)の既定値は1.0 = 上の解説文におけるλ\n", "ridge = lm.Ridge(alpha=1.0)\n", "\n", "for deg in [2,5,10]: # 最大べき\n", " ridge.fit(np.vander(x, deg +1), y) # リッジ回帰\n", " # 予測\n", " x_lrp = np.linspace(0., x_max*1.2, 100)\n", " y_lrp = ridge.predict(np.vander(x_lrp, deg+1))\n", " plt.plot(x_lrp, y_lrp,\n", " label='degree ' + str(deg))\n", " plt.plot(x, y , 'ok', ms=10)\n", " plt.title('Ridge Regression')\n", " # モデルの係数表示\n", " # print('フィッティング関数の次数=' + str(deg))\n", " # print('切片= ' + str(ridge.intercept_))\n", " # print(' '. join(['%.5f' % c for c in ridge.coef_]))\n", " # 「真の値」cos(x)との比較による決定係数R2の算出\n", " # 実際には、真の値はわからない。その場合、トレーニングデータとは別にテストデータを用意し、それで検証する\n", " #print(\"alpha=\" + str(alpha) + \"R2=\" + str(ridge.score(np.vander(x, deg+1), f_cos(x))))\n", "\n", "# サンプルデータのプロット\n", "plt.ylim(-2.0,2.0)\n", "plt.plot(x, y, \"ob\", ms=8)\n", "# sin curve\n", "plt.plot(x_lrp, f_cos(x_lrp), label=\"sin(x)\")\n", "plt.legend(loc=2)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "フィッティング関数の次数=2\n", "切片= 0.3979034795533577\n", "0.00772 -0.18626 0.00000\n", "alpha=0.05, deg=2, R2=0.08099024845662606\n", "フィッティング関数の次数=5\n", "切片= 1.5234523909155355\n", "0.04708 -0.53612 1.84700 -1.40814 -2.01450 0.00000\n", "alpha=0.05, deg=5, R2=0.9173548653834334\n", "フィッティング関数の次数=10\n", "切片= 1.433938628006912\n", "-0.00029 0.00699 -0.06804 0.33454 -0.80015 0.53295 0.90646 -0.29123 -1.65203 -0.99771 0.00000\n", "alpha=0.05, deg=10, R2=0.928736566503565\n", "フィッティング関数の次数=2\n", "切片= 0.3952827700097704\n", "0.00718 -0.18337 0.00000\n", "alpha=0.1, deg=2, R2=0.08129928631178551\n", "フィッティング関数の次数=5\n", "切片= 1.4588184684504582\n", "0.04219 -0.48008 1.63639 -1.14247 -2.02434 0.00000\n", "alpha=0.1, deg=5, R2=0.9075383888157087\n", "フィッティング関数の次数=10\n", "切片= 1.388588243467906\n", "0.00002 0.00081 -0.01907 0.14534 -0.46298 0.41200 0.59874 -0.24986 -1.24214 -1.10792 0.00000\n", "alpha=0.1, deg=10, R2=0.9386575657408042\n", "フィッティング関数の次数=2\n", "切片= 0.385583523902594\n", "0.00518 -0.17266 0.00000\n", "alpha=0.3, deg=2, R2=0.082399852524357\n", "フィッティング関数の次数=5\n", "切片= 1.2160943117003653\n", "0.03131 -0.36142 1.23519 -0.79934 -1.71875 0.00000\n", "alpha=0.3, deg=5, R2=0.8614999273149915\n", "フィッティング関数の次数=10\n", "切片= 1.2368722395324439\n", "0.00038 -0.00658 0.03896 -0.07481 -0.08742 0.31555 0.24457 -0.29118 -0.85515 -0.94426 0.00000\n", "alpha=0.3, deg=10, R2=0.9530630771910518\n", "フィッティング関数の次数=2\n", "切片= 0.37697832406537096\n", "0.00341 -0.16316 0.00000\n", "alpha=0.5, deg=2, R2=0.08331933259982571\n", "フィッティング関数の次数=5\n", "切片= 1.0451877932057967\n", "0.02474 -0.29112 1.00866 -0.65105 -1.45523 0.00000\n", "alpha=0.5, deg=5, R2=0.8093632770164657\n", "フィッティング関数の次数=10\n", "切片= 1.1442940403960746\n", "0.00048 -0.00853 0.05495 -0.13814 0.02508 0.28688 0.13005 -0.31700 -0.73451 -0.80981 0.00000\n", "alpha=0.5, deg=10, R2=0.9570670521753482\n", "フィッティング関数の次数=2\n", "切片= 0.35918357774285586\n", "-0.00025 -0.14353 0.00000\n", "alpha=1.0, deg=2, R2=0.08505073581024092\n", "フィッティング関数の次数=5\n", "切片= 0.7894963848460589\n", "0.01533 -0.19105 0.69041 -0.46165 -1.04569 0.00000\n", "alpha=1.0, deg=5, R2=0.6991380292722913\n", "フィッティング関数の次数=10\n", "切片= 1.00133103720715\n", "0.00050 -0.00914 0.06219 -0.17646 0.11379 0.24461 0.02486 -0.32609 -0.59504 -0.62823 0.00000\n", "alpha=1.0, deg=10, R2=0.956545193459641\n", "フィッティング関数の次数=2\n", "切片= 0.33414674166678743\n", "-0.00537 -0.11598 0.00000\n", "alpha=2.0, deg=2, R2=0.08709791733365913\n", "フィッティング関数の次数=5\n", "切片= 0.5580146151661759\n", "0.00714 -0.10393 0.41445 -0.30475 -0.67167 0.00000\n", "alpha=2.0, deg=5, R2=0.5673235235168876\n", "フィッティング関数の次数=10\n", "切片= 0.8371483084508907\n", "0.00039 -0.00744 0.05338 -0.16343 0.13835 0.19009 -0.03143 -0.29604 -0.46324 -0.46402 0.00000\n", "alpha=2.0, deg=10, R2=0.94042017273076\n" ] }, { "data": { "text/plain": [ "[]" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "# リッジ回帰 alpha(正則化係数)の既定値は1.0 \n", "\n", "for a in [0.05, 0.1, 0.3, 0.5, 1.0, 2.0]:\n", " ridge = lm.Ridge(alpha=a)\n", " \n", " for deg in [2, 5, 10]: # 最大べき\n", " ridge.fit(np.vander(x, deg +1), y) # リッジ回帰\n", " # 予測\n", " x_lrp = np.linspace(0., x_max*1.2, 100)\n", " y_lrp = ridge.predict(np.vander(x_lrp, deg+1))\n", " plt.plot(x_lrp, y_lrp,\n", " label='degree ' + str(deg))\n", " plt.legend(loc=2)\n", " plt.plot(x, y , 'ok', ms=10)\n", " plt.title('Ridge Regression')\n", " # モデルの係数表示\n", " print('フィッティング関数の次数=' + str(deg))\n", " print('切片= ' + str(ridge.intercept_))\n", " print(' '. join(['%.5f' % c for c in ridge.coef_]))\n", " # 「真の値」cos(x)との比較による決定係数R2の算出\n", " # 実際には、真の値はわからない。\n", " # その場合、トレーニングデータとは別にテストデータを用意し、それで検証する\n", " print(\"alpha=\" + str(a) + \", deg=\" + str(deg) \n", " + \", R2=\" + str(ridge.score(np.vander(x, deg+1), f_cos(x))))\n", "\n", "# サンプルデータのプロット\n", "plt.ylim(-2.0,2.0)\n", "plt.plot(x, y, \"ob\", ms=8)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "a = (\"dfasdaaaaafaafdfsdfjsfjdskfas;fasfd;asdfasf;asfsdfsafsafasdsda\"\n", " + \"ddfasdfasdfasdfasdfdfdfas\")\n", "\n", "'''\n", "コメント\n", "'''" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Lasso回帰\n", "\n", "ウェイトの項を単に絶対値$\\frac{\\lambda}{2}||{\\bf w}||$にしたものをlasso回帰と呼ぶ。\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "model = lm.Lasso(alpha=0.01)\n", "for deg in [2,5,10]: # 最大べき\n", " model.fit(np.vander(x, deg +1), y) # リッジ回帰\n", " # 予測\n", " x_lrp = np.linspace(0., x_max*1.2, 100)\n", " y_lrp = model.predict(np.vander(x_lrp, deg+1))\n", " plt.plot(x_lrp, y_lrp,\n", " label='degree ' + str(deg))\n", " plt.legend(loc=2)\n", " # モデルの係数表示\n", " # モデルの係数表示\n", " print('フィッティング関数の次数=' + str(deg))\n", " print('切片= ' + str(lrp.intercept_))\n", " print('係数' + ' '. join(['%.5f' % c for c in model.coef_]))\n", " plt.plot(x, y , 'ok', ms=10)\n", " plt.title('Lasso Regression')\n", "\n", "# サンプルデータのプロット\n", "plt.ylim(-2.0,2.0)\n", "plt.plot(x, y, \"ob\", ms=8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lassoの場合、この程度のばらつきの場合だと、既定の加重係数(alpha=1.0)は大きすぎるようだ。また、データ数を多くしないと収束がわるという警告がでる。\n", "\n", "\n", "全体として、次数を上げた場合、加重を含む最適化を行っているため、過学習が抑えられている。\n", "\n", "係数alpha (上の式では$\\lambda$)は外からあたえるパラメータであり、**ハイパーパラメータ**と呼ばれる。" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Exercise 3\n", "\n", "- データ作成のベース関数やデータ数、ハイパーパラメータ(正則化係数alphaやフィッティング関数の次数)を変えて振る舞いを確かめてみよう。\n", "- ランダム項を含まないcos(x)を再現(推定)できているかを決定係数R2を用いて評価してみよう。\n", "\n", "(注) 決定係数\n", "\n", "テストデータの実測値を$(t_1, t_2, \\cdots, t_N)$、予測(推定)値を$(y_1, y_2, \\cdots, y_N)$としたとき\n", "\n", "$$\n", "R^2 = 1 - \\frac{\\sum_{i=1}^N (y_i - t_i)^2}{ \\sum_{i=1}^N (t_i - \\bar{t})^2}\n", "$$\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## scikit-learnの利用まとめ Summary on the scikit-learn fitting libraries\n", "\n", "The regression problem we solve (predict) is to make a numerical machine that predict the value $y$ from the explanation variables $\\{\\boldsymbol{x}\\}$ from a training dataset $\\{\\boldsymbol{x}_n, y\\}$.\n", "\n", "$$\n", "y = f(\\{\\boldsymbol{x}_n\\}, \\boldsymbol{x})\n", "$$\n", "where the values of the dataset is regarded as parameters of $f(\\boldsymbol{x})$.\n", "\n", "- Select a model xxxxx (one of linear, Ridge, Lasso, support vector machine, neural net, and etc)\n", " ```python\n", " import sklearn.linear_model as lm\n", " model = lm.xxxxxx(parameter1, parameter2, ....)\n", " ```\n", "- Prepare a training dataset: array \"x\" of explanation variables and list of target \"y\"\n", " \n", "- Train the machine by the dataset\n", " ```python\n", " model.fit(x,y, ....)\n", " ```\n", " \n", "- Predict $y$ from a set of explanation variables $\\{x_1, x_2, \\cdots \\}$.\n", " ```python\n", " model.predict(x)\n", " ```" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 補足 : 外れ値について\n", "\n", "極端な外れ値を含む場合は、別の対応が必要である。\n", "\n", "参考:scikit-learnの事例より\n", "\n", "https://scikit-learn.org/stable/auto_examples/linear_model/plot_huber_vs_ridge.html#sphx-glr-auto-examples-linear-model-plot-huber-vs-ridge-py\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "# Authors: Manoj Kumar mks542@nyu.edu\n", "# License: BSD 3 clause\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "from sklearn.datasets import make_regression\n", "from sklearn.linear_model import HuberRegressor, Ridge\n", "\n", "def huber_vs_ridge(show_ridge=True, show_huber=True):\n", " # Generate toy data.\n", " rng = np.random.RandomState(0)\n", " X, y = make_regression(\n", " n_samples=20, n_features=1, random_state=0, noise=4.0, bias=100.0\n", " )\n", " \n", " # Add four strong outliers to the dataset.\n", " X_outliers = rng.normal(0, 0.5, size=(4, 1))\n", " y_outliers = rng.normal(0, 2.0, size=4)\n", " X_outliers[:2, :] += X.max() + X.mean() / 4.0\n", " X_outliers[2:, :] += X.min() - X.mean() / 4.0\n", " y_outliers[:2] += y.min() - y.mean() / 4.0\n", " y_outliers[2:] += y.max() + y.mean() / 4.0\n", " X = np.vstack((X, X_outliers))\n", " y = np.concatenate((y, y_outliers))\n", " plt.plot(X, y, \"b.\")\n", " x = np.linspace(X.min(), X.max(), 7)\n", " \n", " # Fit the huber regressor over a series of epsilon values.\n", " if show_huber:\n", " colors = [\"r-\", \"b-\", \"y-\", \"m-\"]\n", " epsilon_values = [1, 1.5, 1.75, 1.9]\n", " for k, epsilon in enumerate(epsilon_values):\n", " huber = HuberRegressor(alpha=0.0, epsilon=epsilon)\n", " huber.fit(X, y)\n", " coef_ = huber.coef_ * x + huber.intercept_\n", " plt.plot(x, coef_, colors[k], label=\"huber loss, %s\" % epsilon)\n", " \n", " # Fit a ridge regressor to compare it to huber regressor.\n", " if show_ridge:\n", " ridge = Ridge(alpha=0.0, random_state=0)\n", " ridge.fit(X, y)\n", " coef_ridge = ridge.coef_\n", " coef_ = ridge.coef_ * x + ridge.intercept_\n", " plt.plot(x, coef_, \"g-\", label=\"ridge regression\")\n", " \n", " plt.title(\"Comparison of HuberRegressor vs Ridge\")\n", " plt.xlabel(\"X\")\n", " plt.ylabel(\"y\")\n", " if show_ridge or show_huber:\n", " plt.legend(loc=0)\n", " plt.show()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "huber_vs_ridge()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "a222d4c355af4790b6a33c747d5b5e76", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(Checkbox(value=False, description='show_ridge'), Checkbox(value=False, description='show…" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Using \"interact\" to switch on or off showing results of two kind of regressions \n", "\n", "from ipywidgets import interact\n", "interact(huber_vs_ridge, show_ridge=False, show_huber=False)\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%html\n", "" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.16" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": true, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 4 }