From 33e23702999e10d02301f8573643fe9307a3596b Mon Sep 17 00:00:00 2001 From: tianxuzhang <987095891@qq.com> Date: Sun, 3 Dec 2023 22:30:36 +0800 Subject: [PATCH] =?UTF-8?q?feat:=20=E5=B2=AD=E5=9B=9E=E5=BD=92demo?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...346\200\247\345\233\236\345\275\222.ipynb" | 62 ++++++++++++++++++- 1 file changed, 61 insertions(+), 1 deletion(-) diff --git "a/docs/\345\233\236\345\275\222/\346\255\243\345\210\231\345\214\226\347\272\277\346\200\247\345\233\236\345\275\222.ipynb" "b/docs/\345\233\236\345\275\222/\346\255\243\345\210\231\345\214\226\347\272\277\346\200\247\345\233\236\345\275\222.ipynb" index 2af1fad..66b35b1 100644 --- "a/docs/\345\233\236\345\275\222/\346\255\243\345\210\231\345\214\226\347\272\277\346\200\247\345\233\236\345\275\222.ipynb" +++ "b/docs/\345\233\236\345\275\222/\346\255\243\345\210\231\345\214\226\347\272\277\346\200\247\345\233\236\345\275\222.ipynb" @@ -113,12 +113,72 @@ "\n", "具体地,岭回归的目标函数可表示为:\n", "\n", - "$$\\underset{w}{min,} || Xw - y||_2^2 + \\alpha ||w||_2^2$$\n", + "$$\\underset{w}{min} || Xw - y||_2^2 + \\alpha ||w||_2^2$$\n", "\n", "其中,$X$ 是输入数据矩阵,$y$ 是对应的观测值向量,$w$ 是待估计的参数向量,$\\alpha$ 是一个控制正则化强度的超参数。\n", "\n", "通过引入 $\\alpha$ 的值,岭回归可以对参数向量进行限制,使其不会过大,从而减小过拟合的风险。较大的 $\\alpha$ 值会增加正则化的程度,从而更加平衡模型的复杂度和拟合残差之间的权衡。" ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "53c8879c", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import numpy as np\n", + "from sklearn.linear_model import Ridge\n", + "import matplotlib.pyplot as plt\n", + "\n", + "# 生成样本数据\n", + "np.random.seed(0)\n", + "n_samples, n_features = 100, 10\n", + "X = np.random.randn(n_samples, n_features)\n", + "y = np.random.randn(n_samples)\n", + "\n", + "# 初始化α值的范围\n", + "alphas = np.logspace(-4, 2, 100)\n", + "\n", + "# 存储模型的系数\n", + "coefs = []\n", + "\n", + "# 创建Ridge对象,并进行系数估计\n", + "for alpha in alphas:\n", + " model = Ridge(alpha=alpha)\n", + " model.fit(X, y)\n", + " coefs.append(model.coef_)\n", + "\n", + "# 绘制α值与系数路径的图表\n", + "plt.figure(figsize=(10, 6))\n", + "plt.plot(alphas, coefs)\n", + "plt.xscale('log')\n", + "plt.xlabel('Alpha')\n", + "plt.ylabel('Coefficients')\n", + "plt.title('Ridge Regression Coefficients Path')\n", + "plt.axis('tight')\n", + "plt.legend(range(n_features))\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "81dc27fe", + "metadata": {}, + "source": [ + "从图中可以看出,岭回归的正则化参数变化对系数的影响是比较平滑的。另外不会变成0,所以计算量是比较大的。" + ] } ], "metadata": {