{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "ujjbQjv3PjA0" }, "source": [ "# Polynomial Regression, Overfitting, and Regularization" ] }, { "cell_type": "markdown", "metadata": { "id": "-SinsrSt1_NL" }, "source": [ "## Polynomial Regression" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "tags": [ "remove-input" ], "colab": { "base_uri": "https://localhost:8080/", "height": 336 }, "id": "hHfBhN_CPjA1", "outputId": "79d521a8-1b57-4bf1-bcd6-8b771c8b4f44" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": [ "\n", "\n" ] }, "metadata": {}, "execution_count": 1 } ], "source": [ "from IPython.display import HTML # ใช้สำหรับโชว์ HTML element\n", "\n", "HTML(\"\"\"\n", "\n", "\"\"\")" ] }, { "cell_type": "markdown", "metadata": { "id": "q4gUzUwpPjA2" }, "source": [ "[Slides: Polynomial Regression, Overfitting and Regularization 1](https://github.com/braincodecamp/brain-code-camp-2026-lectures/blob/main/IntroToModeling/modeling_part2a_polynomial1.pdf)\n", "\n", "
\n", "\n", "ข้อมูลจำนวนมากที่พบเจอในการทำงานจริง มักมีความสัมพันธ์ที่ซับซ้อน ซึ่งเมื่อนำมา plot ดูแล้วอาจจะมีหน้าตาที่ไม่สอดคล้องกับโมเดลเชิงเส้น ดังตัวอย่างด้านล่าง ที่ $y$ ถูกสร้างมาจากสมการ $y=x^2$" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "id": "CIY2cgN32BpM" }, "outputs": [], "source": [ "import sys\n", "import numpy as np\n", "from numpy.linalg import norm\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.preprocessing import PolynomialFeatures\n", "\n", "import ipywidgets as widgets # ใช้สำหรับการทำ interactive display\n", "\n", "np.random.seed(777) # ตั้งค่า random seed เอาไว้ เพื่อให้การรันโค้ดนี้ได้ผลเหมือนเดิม" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "iOh-ADt2jiEr", "outputId": "01a7687e-791b-4e29-8777-23f64c505b87" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "def generate_sample_poly(x, w_list, include_noise=True, noise_level=2):\n", "\n", " # จำลองการใส่สัญญาณรบกวนเข้าไป\n", " if include_noise:\n", " noise = noise_level*np.random.randn(*x.shape)\n", " else:\n", " noise = 0\n", "\n", " y = 0\n", "\n", " # ค่อย ๆ เติม พจน์ที่มีเลขยกกำลังต่าง ๆ กัน ตาที่กำหนดไว้ใน w_list\n", " for curr_order, curr_w in enumerate(w_list):\n", " y += curr_w* (x**curr_order)\n", "\n", " return y + noise\n", "\n", "\n", "num_samples = 100\n", "w = [0, 0, 1]\n", "x = 10*np.random.rand(num_samples,1) - 5\n", "y = generate_sample_poly(x, w, include_noise=True)\n", "\n", "# สร้างข้อมูลที่ไม่มีสัญญาณรบกวนมาเปรียบเทียบ\n", "y_true = generate_sample_poly(x, w, include_noise=False)\n", "\n", "# สร้างข้อมูลที่ไม่มีสัญญาณรบกวนมาแบบละเอียด เพื่อใช้ในการวาดกราฟ (เส้นประสีดำ)\n", "x_whole_line = np.linspace(-5, 5, 100)\n", "y_true_whole_line = generate_sample_poly(x_whole_line, w, include_noise=False)\n", "\n", "# Plot ข้อมูล x, y ที่มีอยู่\n", "fig, ax = plt.subplots()\n", "ax.scatter(x, y, c='b', label='Observed')\n", "ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True' )\n", "ax.set(xlabel='x', ylabel='y')\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "mucSJ9Xx1LEZ" }, "source": [ "หากเรานำเอาสมการเส้นตรง $ y = \\hat{w_0} + \\hat{w_1} x$ มาอธิบายข้อมูลประเภทนี้ จะส่งผลให้เกิดความคาดเคลื่อนได้" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 524 }, "id": "q0CAVa6d1Veb", "outputId": "7b9fc99e-1636-4525-cb7c-16dbd6daf190" }, "outputs": [ { "output_type": "stream", "name": "stdout", "text": [ "Estimated slope -0.18\n", "\n", "Estimated intercept 8.10\n" ] }, { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "model_linear = LinearRegression()\n", "\n", "# ให้โมเดลหาค่า w_0 and w_1 จากข้อมูล (x,y) ทั้งหมดที่มี\n", "model_linear.fit(x, y)\n", "\n", "w0_hat = model_linear.intercept_[0]\n", "w1_hat = model_linear.coef_[0][0]\n", "\n", "print(f\"Estimated slope {w1_hat:0.2f}\\n\")\n", "print(f\"Estimated intercept {w0_hat:0.2f}\")\n", "\n", "# ใช้โมเดลทำนายค่า y จากค่า x วิธีที่ 2\n", "y_hat = model_linear.predict(x)\n", "\n", "# ฟังก์ชันสำหรับวัด mean squared error ระหว่างค่าที่ทำนายได้ (y_hat) และค่าผลเฉลย y\n", "def mse(y, y_hat):\n", " return np.mean((y-y_hat)**2)/y.shape[0]\n", "\n", "mse_val = mse(y_true, y_hat)\n", "\n", "# แสดงผลการทำนาย\n", "fig, ax = plt.subplots()\n", "ax.scatter(x, y, c='b', label='Observed')\n", "ax.set(xlabel='x', ylabel='y')\n", "ax.scatter(x, y_hat, c='r', label='Predicted')\n", "ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True' )\n", "ax.legend()\n", "ax.set_title(f\"The error as measured by MSE = {mse_val:0.4f} w.r.t the true relationship\")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "id": "HBiHFJr94eJv" }, "source": [ "จะพบว่าโมเดลเส้นตรงนั้นไม่สอดคล้องกับข้อมูลที่เรามีอยู่ สังเกตได้จาก\n", "\n", "1. ข้อมูลสีแดงที่โมเดลทำนายมา ไม่สอดคล้องกับข้อมูลจุดสีน้ำเงิน\n", "2. ค่า mean squared error (MSE) สูง\n", "\n", "จึงมีความจำเป็นที่จะต้องหาวิธีที่จะอธิบายความสัมพันธ์แบบที่ไม่เป็นเส้นตรง (nonlinear relationship) ได้\n", "\n", "ในส่วนนี้เราจะลองใช้โมเดลที่มีสมการดังนี้ $y = \\hat{w_0} + \\hat{w_1}x+ \\hat{w_2}x^2+ ...+ \\hat{w_p} x^p$\n", "\n", "* ถ้า $p = 1$ เราจะได้โมเดล $y = \\hat{w_0} + \\hat{w_1} x$ ในการพัฒนาโมเดลในกรณีนี้ เราจะต้องหาค่า $\\hat{w_0}$ (จุดตัดแกน $y$ ที่เหมาะสม) และค่า $\\hat{w_1}$ (ค่าความชันของเส้นตรง) ได้เหมือนกับตัวอย่างที่ผ่าน ๆ มา\n", "\n", "* ถ้า $p = 2$ เราจะได้โมเดล $y = \\hat{w_0} + \\hat{w_1} x + \\hat{w_2} x^2$ ในกรณีนี้เราจะต้องหาค่า $\\hat{w_0}, \\hat{w_1}$ และ $\\hat{w_2}$\n", "\n", "* ถ้า $p = 3$ เราจะได้โมเดล $y = \\hat{w_0} + \\hat{w_1} x + \\hat{w_2} x^2 + \\hat{w_3} x^3$ ในกรณีนี้เราจะต้องหาค่า $\\hat{w_0}, \\hat{w_1}, \\hat{w_2}$ และ $\\hat{w_3}$\n", "\n", "สังเกตได้ว่ายิ่ง $p$ มีค่าสูงมากขึ้น จำนวนตัวแปรที่เราต้องหาค่าเพื่อพัฒนาโมเดลจะเพิ่มขึ้น\n", "\n", "หากเราสนใจประมาณค่า $\\hat{w}$ โมเดลนี้จะถือว่าเป็นโมเดลเชิงเส้น (ในโมเดลไม่มีพจน์ประเภทที่เลขชี้กำลังของ $\\hat{w}$ มีค่าไม่ใช่ $0$ หรือ $1$ เลย เช่น ไม่มี $\\hat{w^2}, \\hat{w^3}, ..., \\hat{w^p}$ เลย) ทำให้เราสามารถใช้ `LinearRegression` ในการแก้ปัญหาได้เหมือนเดิม เพียงแต่เราต้องมีการปรับแก้ input ก่อน\n", "\n", "\n", "---\n", "ข้อมูลทางเทคนิคเพิ่มเติม\n", "\n", "ใน part ที่แล้วเราได้เห็นแล้วว่า multiple linear regression มีสมการเป็น\n", "\n", "$$ y = \\hat{w_0} + \\hat{w_1} x_1+ \\hat{w_2} x_2 + ...+ \\hat{w_p} x_p$$\n", "\n", "หากกำหนดให้ $z_i = x^i$ จะส่งผลให้เราสามารถเขียนโมเดลใหม่ได้เป็น\n", "\n", "$$y = \\hat{w_0} + \\hat{w_1} z_1+ \\hat{w_2} z_2 + ...+ \\hat{w_p} z_p$$\n", "\n", "เราเห็นว่าทั้งสองสมการหน้าตาคล้ายกันมาก และเรารู้วิธีใช้ `LinearRegression` มาหาค่า $\\hat{w_0}, \\hat{w_1}, ..., \\hat{w_p}$ ของสมการแรกได้ เราก็ควรจะใช้ `LinearRegression` มาหาค่า $\\hat{w_0}, \\hat{w_1}, ..., \\hat{w_p}$ ของสมการที่ 2 ได้เช่นกัน\n", "\n", "---\n", "\n", "\n", "ในส่วนถัดไป เราจะลองนำเอาโมเดล $y = \\hat{w_0} + \\hat{w_1} z_1+ \\hat{w_2} z_2 + \\hat{w_3} z_3 + \\hat{w_4} z_4$ มาใช้กับข้อมูลจากข้อก่อนหน้า" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 489 }, "id": "MmtIfIfCfwMB", "outputId": "5739c0a1-bdc4-4032-fad9-63b7fc232e7c" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "[w_0, w_1, ...]= [ 0. -0.00433819 1.03139417 -0.00184097 -0.00225545]\n" ] } ], "source": [ "# ฟังก์ชันสำหรับ fit โมเดล polynomial ที่มี order ที่กำหนด และ ทำนายผลของโมเดลหลังจากถูกสอนด้วย training data แล้ว\n", "def fit_and_predict_polynomial(x_train, # ค่า x ที่ใช้เป็น input ของโมเดล (จาก training data)\n", " y_train, # ค่า y ที่ใช้เป็นเฉลยให้โมเดล (จาก training data)\n", " poly_order=4, # ค่า order ของ polynomial ที่เราใช้\n", " x_test_dict=None, # Python dictionary ที่ใช้เก็บชุดข้อมูลที่เราอยากจะนำมาทดสอบ โดยสามารถเลือกชุดข้อมูลผ่าน key ของ dictionary นี้\n", " y_test_dict=None): # Python dictionary ที่ใช้เก็บชุดข้อมูลที่ค่า y ที่เป็นเฉลยของข้อมูลที่นำมาทดสอบ โดยสามารถเลือกชุดข้อมูลผ่าน key ของ dictionary นี้\n", "\n", " # สร้างตัวแปรประเภท Python dictionary สำหรับเก็บค่า output ของฟังก์ชันนี้\n", " mse_dict = {} # ค่า mse\n", " out_x = {} # ค่า x ที่ใช้เป็น input ของโมเดล\n", " out_y_hat = {} # ค่า y ที่โมเดลตอบมา\n", " out_y = {} # ค่า y ที่เป็นเฉลย\n", "\n", " # สร้างโมเดลสำหรับแปลงจาก x เป็น z\n", " extract_poly_feat = PolynomialFeatures(degree=poly_order, include_bias=True)\n", "\n", " # แปลงจากค่า x ให้กลายเป็น z\n", " z_train = extract_poly_feat.fit_transform(x_train)\n", "\n", " # สร้างโมเดล y = w_0 + w_1*z_1 + w_2 * z_2 + ...\n", " model_poly = LinearRegression()\n", "\n", " # สอนโมเดลจาก training data ที่ input ถูก transfrom จาก x มาเป็น z แล้ว\n", " model_poly.fit(z_train, y_train)\n", "\n", " # ทดสอบโมเดลบน training data\n", " y_hat_train = model_poly.predict(z_train)\n", "\n", " # ถ้าเกิดว่า user ไม่ได้ให้ test data มา จะใช้ training data เป็น test data\n", " if x_test_dict is None:\n", " x_test_dict = {}\n", " y_test_dict = {}\n", "\n", " # เพิ่ม training data เข้าไปใน test_dict เพื่อที่จะใช้เป็นหนึ่งในข้อมูลสำหรับที่จะให้โมเดลลองทำนาย\n", " x_test_dict['train'] = x_train\n", " y_test_dict['train'] = y_train\n", "\n", " # ทดสอบโมเดลบนข้อมูลแต่ละชุดข้อมูล (แต่ละชุดข้อมูลถูกเลือกจาก key ของ dictionary)\n", " for curr_mode in x_test_dict.keys():\n", "\n", " # แปลงค่า x ให้เป็น z เหมือนขั้นตอนด้านบนที่เรา fit โมเดล\n", " z_test = extract_poly_feat.fit_transform(x_test_dict[curr_mode])\n", "\n", " # ทำนายค่า y โดยใช้โมเดล\n", " y_hat_test = model_poly.predict(z_test)\n", "\n", " # คำนวณค่า mse บน test data\n", " mse_dict[curr_mode] = mse(y_test_dict[curr_mode], y_hat_test)\n", "\n", " # เตรียมข้อมูลเป็น output ของฟังก์ชันนี้ เผื่อเรียกใช้ภายหลัง เช่น การนำเอาข้อมูลไป plot\n", " out_x[curr_mode] = x_test_dict[curr_mode] # เก็บค่า x ที่นำมาทดสอบ\n", " out_y_hat[curr_mode] = y_hat_test # เก็บค่า y ที่โมเดลทำนายออกมา\n", " out_y[curr_mode] = y_test_dict[curr_mode] # เก็บค่า y ที่เป็นผลเฉลย\n", "\n", " return out_x, out_y_hat, out_y, mse_dict, model_poly.coef_.ravel()\n", "\n", "\n", "# polynomial order\n", "poly_order = 4\n", "out_x, out_y_hat, out_y, mse_dict, model_coeffs = fit_and_predict_polynomial(x,\n", " y,\n", " poly_order)\n", "\n", "# แสดงผลการทำนาย\n", "fig, ax = plt.subplots()\n", "ax.scatter(out_x['train'], out_y_hat['train'], c='r', label='Predicted (poly)')\n", "ax.scatter(x, y, c='b', label='Observed')\n", "ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True' )\n", "ax.set(xlabel='x', ylabel='y')\n", "ax.legend()\n", "ax.set_title(f\"The error as measured by MSE = {mse_val:0.4f}\")\n", "plt.show()\n", "\n", "# แสดงค่า w ของโมเดล\n", "print(f\"[w_0, w_1, ...]= {model_coeffs}\")" ] }, { "cell_type": "markdown", "metadata": { "id": "O6qBIAT9UXzN" }, "source": [ "ถึงแม้ว่าเราจะใช้โมเดลที่มีสมการเป็น $\\hat{y} = \\hat{w_0} + \\hat{w_1}x + \\hat{w_2} x^2 + \\hat{w_3} x^3 + \\hat{w_4}x^4$ เราพบว่าโมเดลประมาณค่าของ $\\hat{w_3}$ และ $\\hat{w_4}$ เป็นตัวเลขที่มีค่าใกล้ศูนย์มาก ๆ ซึ่งแปลว่าโมเดลเราจะมีพฤติกรรมคล้ายคลึงกับโมเดลที่มีสมการเป็น $\\hat{y} = \\hat{w_0} + \\hat{w_1}x + \\hat{w_2} x^2$\n", "\n", "\n", "**หมายเหตุ** เราจะเรียกข้อมูลที่ใช้สำหรับสอนโมเดลว่า training data $(x_{train},y_{train})$ และจะเรียกข้อมูลที่ใช้สำหรับทดสอบโมเดลว่า test data $(x_{test},y_{test})$" ] }, { "cell_type": "markdown", "metadata": { "id": "wfyb-WAdPjA6" }, "source": [ "## Overfitting\n", "\n", "หากสังเกตดู code ด้านบนจะพบว่าข้อมูลที่เราใช้สำหรับสอนโมเดลนั้นมีจำนวนค่อนข้างมาก เมื่อเทียบกับจำนวนตัวแปร (มีข้อมูล 100 จุด แต่มีจำนวนตัวแปรแค่ 5 ตัว ซึ่งประกอบไปด้วย $\\hat{w_0}, \\hat{w_1}, \\hat{w_2}, \\hat{w_3}$ และ $\\hat{w_4}$)\n", "\n", "ในส่วนถัดไป เราจะลองใช้วิธีการเดิม โดยที่ข้อมูลนั้นจะยังถูกสร้างจากสมการ $y=x^2$ เหมือนเดิม แต่มีจำนวนจุดข้อมูลที่น้อยลงมาก (จาก 100 จุด เหลือเป็น 10 จุด) และเราจะลองเปลี่ยนค่า polynomial order ไปเรื่อย ๆ" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 474, "referenced_widgets": [ "a61dcb96472b412a87fbd4495ea9490a", "5780f205cc58406b8a52f275e97a7e66", "994a29c968974525b225793da81409cd", "79021dbd6488442fb1945d466d6dd2d9", "84ffbe571dae433998c6b97c9c3c6e60", "eda53cee56f54f8b983f49140c87ea17", "7c55bd89ca5948cfa535e7bdb287b598", "35c560883138435fb63a8be294a9a2ec", "9493ecade71b4a12bdd02b40c87a3da5", "6fd9f9df5190482fb08f1b93ce7ac7cb" ] }, "id": "-EVi23zaHdBp", "outputId": "97356ec0-ddae-4a5a-f6ea-ea42171fb9c2" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "interactive(children=(IntSlider(value=2, description='p', max=50, min=1), Checkbox(value=True, description='Sh…" ], "application/vnd.jupyter.widget-view+json": { "version_major": 2, "version_minor": 0, "model_id": "a61dcb96472b412a87fbd4495ea9490a" } }, "metadata": {} } ], "source": [ "# มีจำนวนข้อมูลแค่ 10 จุด\n", "num_samples = 10\n", "w = [0, 0, 1]\n", "x_train = 10*np.random.rand(num_samples,1) - 5\n", "y_train = generate_sample_poly(x_train, w, include_noise=True)\n", "\n", "# สร้างข้อมูลที่ไม่มีสัญญาณรบกวนมาเปรียบเทียบ\n", "x_whole_line = np.linspace(-5,5,100)\n", "y_true_whole_line = generate_sample_poly(x_whole_line, w, include_noise=False)\n", "\n", "# ใส่แถบสำหรับปรับค่า w1_hat และ w2_hat รวมถึงช่องสำหรับให้เลือกว่าจะโขว์เส้นความสัมพันธ์ระหว่าง x และ y ที่แท้จริงหรือไม่\n", "@widgets.interact(p=widgets.IntSlider(2, min=1, max=50),\n", " show_true_line=widgets.Checkbox(True, description='Show true data'))\n", "def plot_poly_results(p, show_true_line):\n", "\n", " # fit โมเดล และให้โมเดลทำนายค่า y ออกมา\n", " curr_outputs = fit_and_predict_polynomial(x_train, y_train, p)\n", "\n", " # ดึงเอา output ของฟังก์ชันออกมา\n", " out_x = curr_outputs[0] # ค่า x ที่ถูกใช้ทดสอบโมเดล\n", " out_y_hat = curr_outputs[1] # ค่า y ที่โมเดลทำนายออกมา\n", " mse_dict = curr_outputs[3] # ค่า mse ระหว่างสิ่งที่โมเดลทำนายออกมาและผลเฉลย\n", "\n", " # สร้าง figure\n", " fig, ax = plt.subplots(figsize=(4,4))\n", "\n", " # Plot ข้อมูลที่เราใช้ fit โมเดล (สอนโมเดล)\n", " ax.scatter(x_train, y_train, c='b', label='Observed')\n", "\n", " # Plot ข้อมูลที่โมเดลทำนายค่าออกมา\n", " ax.scatter(out_x['train'], out_y_hat['train'], c='r', label='Predicted (poly)')\n", "\n", " # Plot ข้อมูลที่ไม่มี noise สำหรับเป็น reference ไว้ดู\n", " if show_true_line:\n", " ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "\n", " ax.set(xlabel='x', ylabel='y')\n", " ax.set_title(f\"Order = {p} with MSE = {mse_dict['train']:0.4f}\")\n", " ax.legend()\n", " plt.show()\n" ] }, { "cell_type": "markdown", "metadata": { "id": "qf5oLU2PKNJR" }, "source": [ "ทีนี้เราลองเอาผลจากค่า polynomial order ของโมเดลที่แตกต่างกันมาเปรียบเทียบกันดู" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "Y6blSRtCTVG5", "outputId": "fc5756e7-872d-46af-f427-3a977fab29fb" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
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\n" }, "metadata": {} } ], "source": [ "# ลองทดสอบเปลี่ยนค่า polynomial order\n", "poly_order_list = [1, 2, 4, 8, 10, 15]\n", "mse_list = [] # ตัวแปรสำหรับเก็บค่า mse\n", "\n", "fig, ax = plt.subplots(2,3, figsize=(15, 12))\n", "fig_row, fig_col = 0, 0\n", "\n", "for idx, curr_poly_order in enumerate(poly_order_list):\n", "\n", " # fit โมเดล และให้โมเดลทำนายค่า y ออกมา\n", " curr_outputs = fit_and_predict_polynomial(x_train, y_train, curr_poly_order)\n", "\n", " # ดึงเอา output ของฟังก์ชันออกมา\n", " out_x = curr_outputs[0] # ค่า x ที่ถูกใช้ทดสอบโมเดล\n", " out_y_hat = curr_outputs[1] # ค่า y ที่โมเดลทำนายออกมา\n", " mse_dict = curr_outputs[3] # ค่า mse ระหว่างสิ่งที่โมเดลทำนายออกมาและผลเฉลย\n", "\n", " # เก็บค่า mse ของแต่ละชุดข้อมูลที่นำมาทดสอบที่มีค่า order ของ polynomial ที่แตกต่างกัน\n", " mse_list.append(mse_dict['train'])\n", "\n", " # แสดงผล\n", " if idx % 3 == 0 and idx != 0:\n", " fig_col = 0\n", " fig_row += 1\n", "\n", " # Plot ข้อมูลที่เราใช้ fit โมเดล (สอนโมเดล)\n", " ax[fig_row, fig_col].scatter(x_train, y_train, c='b', label='Observed')\n", "\n", " # Plot ข้อมูลที่โมเดลทำนายค่าออกมา\n", " ax[fig_row, fig_col].scatter(out_x['train'], out_y_hat['train'], c='r', label='Predicted (poly)')\n", "\n", " # Plot ข้อมูลที่ไม่มี noise สำหรับเป็น reference ไว้ดู\n", " ax[fig_row, fig_col].plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "\n", " ax[fig_row, fig_col].set(xlabel='x', ylabel='y')\n", " ax[fig_row, fig_col].set_title(f\"Order = {curr_poly_order} with MSE = {mse_dict['train']:0.4f}\")\n", "\n", " ax[fig_row, fig_col].legend()\n", "\n", " fig_col += 1\n", "\n", "# แสดงผล mse vs poly order\n", "plt.figure()\n", "plt.plot(poly_order_list, mse_list)\n", "plt.xlabel('Polynomial order')\n", "plt.ylabel('MSE')\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": { "id": "lsERktOMTK-v" }, "source": [ "จากผลการทดสอบเปลี่ยนค่า polynomial order ของโมเดล จะพบว่าค่า MSE ที่ถูกทดสอบมีค่าน้อยลงเรื่อยๆ จนเหลือ $0$ ที่ polynomial order $= 15$\n", "\n", "แสดงว่าในการใช้งานจริงเราควรจะใช้ค่า order สูงๆ เนื่องจากมีค่า MSE น้อยที่สุดใช่หรือไม่\n", "\n", "---\n", "\n", "คำตอบคือไม่\n", "\n", "MSE ที่เรานำมาใช้คำนวณเป็น MSE จาก training data ซึ่งเป็นข้อมูลที่โมเดลใช้ในการหาค่า $\\hat{w}$ ซึ่งการที่โมเดลมีค่า MSE ต่ำมากๆ แสดงว่าโมเดลมีความสามารถในการ fit ข้อมูลที่โมเดลเคยเห็นมาแล้วได้เป็นอย่างดี แต่ถ้าเกิดว่าเรานำเอาค่า $x$ ตัวใหม่ที่โมเดลไม่เคยเห็นมาก่อน โมเดลที่มี order สูงจะยัง fit ได้ดีหรือไม่\n", "\n", "เราจะลองเขียนโปรแกรมเพื่อทดสอบดู" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 524 }, "id": "w0R2Jfh3iD76", "outputId": "685261d0-07d8-4f5b-f166-a77856fc6893" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} }, { "output_type": "stream", "name": "stdout", "text": [ "[w_0, w_1, ...]= [ 4.38918870e-07 -9.16803517e-01 5.25232344e-01 -9.06545642e-01\n", " 5.91847282e-01 -7.01295262e-01 3.80429515e-02 1.41867825e-02\n", " -6.74743217e-01 3.47335771e-02 3.91400155e-01 1.12787498e-01\n", " -3.56448876e-02 -2.30436108e-02 -4.11080381e-03 -2.51657502e-04]\n" ] } ], "source": [ "# สร้างข้อมูลสำหรับใช้ทดสอบจำนวนมาก\n", "x_test = np.reshape(np.linspace(-10,10,1000), (-1,1))\n", "y_test = generate_sample_poly(x_test, w, include_noise=True)\n", "\n", "# จากการทดลองด้านบน เราพบว่า poly_order = 15 มีค่า MSE ที่ต่ำที่สุด\n", "poly_order = 15\n", "\n", "# fit โมเดล และให้โมเดลทำนายค่า y ออกมา\n", "curr_outputs = fit_and_predict_polynomial(x_train, y_train, curr_poly_order, {'test': x_test}, {'test': y_test})\n", "\n", "# ดึงเอา output ของฟังก์ชันออกมา\n", "out_x = curr_outputs[0] # ค่า x ที่ถูกใช้ทดสอบโมเดล\n", "out_y_hat = curr_outputs[1] # ค่า y ที่โมเดลทำนายออกมา\n", "mse_dict = curr_outputs[3] # ค่า mse ระหว่างสิ่งที่โมเดลทำนายออกมาและผลเฉลย\n", "model_coeffs = curr_outputs[4] # ค่า coefficients ของโมเดล\n", "\n", "# แสดงผลการทำนาย\n", "fig, ax = plt.subplots()\n", "ax.scatter(x_train, y_train, c='b', label='Observed')\n", "ax.plot(out_x['test'], out_y_hat['test'], c='r', label='Predicted (poly)')\n", "ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "ax.set(xlabel='x', ylabel='y')\n", "ax.legend()\n", "ax.set_ylim(-5, 30)\n", "plt.show()\n", "\n", "# แสดงค่า w ของโมเดล\n", "print(f\"[w_0, w_1, ...]= {model_coeffs}\")" ] }, { "cell_type": "markdown", "metadata": { "id": "OrBwXP65G8k5" }, "source": [ "จากการทดสอบด้านบนจะพบว่าโมเดลมี training error เป็นศูนย์ (สังเกตได้จากการที่เส้นสีแดงวิ่งผ่านจุดสีน้ำเงินทั้งหมด) แต่จะเห็นได้ว่าเส้นสีแดงนั้น ไม่สอดคล้องกับ โมเดลจริง (เส้นประสีดำ) เลย\n", "\n", "ปัญหาที่โมเดลสามารถให้คำตอบที่ถูกต้องบน training data แต่มีปัญหาในการใช้งานกับข้อมูลที่ไม่ได้ถูกนำมาสอนนั้น มีชื่อเรียกว่าปัญหา overfitting\n", "\n", "นอกจากปัญหา overfitting แล้ว เราก็ยังมี underfitting ซึ่งเป็นปัญหาที่เราจะเจอในกรณีที่โมเดลอาจจะมีความซับซ้อนน้อยเกินไป จนไม่สามารถเรียนรู้ที่จะให้คำตอบที่ถูกต้องแม้กระทั่งกับ training data ซึ่งเป็นสิ่งที่ใช้สอนโมเดล\n", "\n", "

\n", "Code ส่วนถัดไปสร้างภาพสรุป concept นี้" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 564 }, "id": "fi1fzsfjGX3J", "outputId": "21d011ee-d24e-45ca-de9d-fd4e4215a38b" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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\n" }, "metadata": {} } ], "source": [ "# สร้างข้อมูลสำหรับใช้ทดสอบจำนวนมาก\n", "x_test = np.reshape(np.linspace(-10, 10, 1000), (-1, 1))\n", "y_test = generate_sample_poly(x_test, w, include_noise=True)\n", "\n", "# Underfit\n", "curr_outputs = fit_and_predict_polynomial(x_train, y_train, 1, {'test': x_test}, {'test': y_test})\n", "x_test_underfit = curr_outputs[0]['test']\n", "y_hat_test_underfit = curr_outputs[1]['test']\n", "\n", "# Well fit\n", "curr_outputs = fit_and_predict_polynomial(x_train, y_train, 2, {'test': x_test}, {'test': y_test})\n", "x_test_wellfit = curr_outputs[0]['test']\n", "y_hat_test_wellfit = curr_outputs[1]['test']\n", "\n", "# Overfit\n", "curr_outputs = fit_and_predict_polynomial(x_train, y_train, 15, {'test': x_test}, {'test': y_test})\n", "x_test_overfit = curr_outputs[0]['test']\n", "y_hat_test_overfit = curr_outputs[1]['test']\n", "\n", "# แสดงผลการทำนาย\n", "fig, ax = plt.subplots(1, 3, figsize=(18, 6))\n", "\n", "ax[0].scatter(x_train, y_train, c='b', label='Observed')\n", "ax[0].plot(x_test_underfit, y_hat_test_underfit, c='r', label='Predicted (poly)')\n", "ax[0].plot(x_whole_line, y_true_whole_line,'k--', label='True')\n", "ax[0].set(xlabel='x', ylabel='y')\n", "ax[0].legend()\n", "ax[0].set_ylim(-5, 30)\n", "ax[0].set_title('Underfitting')\n", "\n", "ax[1].scatter(x_train, y_train, c='b', label='Observed')\n", "ax[1].plot(x_test_wellfit, y_hat_test_wellfit, c='r', label='Predicted (poly)')\n", "ax[1].plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "ax[1].set(xlabel='x', ylabel='y')\n", "ax[1].legend()\n", "ax[1].set_ylim(-5, 30)\n", "\n", "ax[2].scatter(x_train, y_train, c='b', label='Observed')\n", "ax[2].plot(x_test_overfit, y_hat_test_overfit, c='r', label='Predicted (poly)')\n", "ax[2].plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "ax[2].set(xlabel='x', ylabel='y')\n", "ax[2].legend()\n", "ax[2].set_ylim(-5, 30)\n", "ax[2].set_title('Overfitting')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "Sf5-vkSaoLVN" }, "source": [ "ในกรณีที่เราเจอปัญหา underfitting วิธีแก้ปัญหาวิธีหนึ่งที่ได้รับความนิยมมากก็คือ การเลือกใช้โมเดลที่ซับซ้อนมากยิ่งขึ้น เช่น การเพิ่มจำนวนตัวแปรในโมเดล หรือในตัวอย่างนี้ก็คือการเพิ่ม order ของ polynomial\n", "\n", "ในกรณีที่เราเจอปัญญา overfitting เรามีวิธีบรรเทาปัญหานี้หลายวิธี เช่น\n", "\n", "1. การลดจำนวนตัวแปรในโมเดล (สำหรับ polynomial ก็คือการลด order)\n", "2. การใช้เทคนิค regularization\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "o5j1SNGKPjA8" }, "source": [ "## Regularization" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "tags": [ "remove-input" ], "colab": { "base_uri": "https://localhost:8080/", "height": 336 }, "id": "d7lpPtwqPjA8", "outputId": "39476846-9cfd-4b23-b5d9-b05f0c789f34" }, "outputs": [ { "output_type": "execute_result", "data": { "text/plain": [ "" ], "text/html": [ "\n", "\n" ] }, "metadata": {}, "execution_count": 10 } ], "source": [ "HTML(\"\"\"\n", "\n", "\"\"\")" ] }, { "cell_type": "markdown", "metadata": { "id": "K5YfmlMgqO93" }, "source": [ "[Slides: Polynomial Regression, Overfitting and Regularization 2](https://github.com/braincodecamp/brain-code-camp-2026-lectures/blob/main/IntroToModeling/modeling_part2b_polynomial2.pdf)\n", "\n", "
\n", "\n", "ที่ผ่านมา เราหาค่า $\\hat{w}$ ที่เหมาะสมในโมเดล polynomial regression โดยการหาค่าต่ำสุดของ loss function ที่วัดความแตกต่างระหว่างค่าที่โมเดลทำนายออกมา ($\\hat{y_i}$) และค่าที่เรา observed มา ($y_i$) โดยการคำนวณ mean-squared error หรือ\n", "\n", "$$L(y, \\hat{y})\n", "= MSE(y,\\hat{y})\n", "=\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-\\hat{y_i}\\right)^{2}\n", "=\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_p} x_i^p)\\right)^{2}$$\n", "\n", "ซึ่งเราใช้ `PolynomialFeatures` ร่วมกับ `LinearRegression` ของ `scikit-learn` ในการหาค่า $\\hat{w}$ เหล่านั้น\n", "\n", "จากตัวอย่างที่เรากำหนดให้ $p=15$ ซึ่งเป็น polynomial ที่มี order = 15 หรือมีตัวแปรทั้งหมด 16 ตัว ($\\hat{w_0}, \\hat{w_1}, ..., \\hat{w_{15}}$) เราพบปัญหา overfitting\n", "\n", "ในตัวอย่างนี้เราจะลองใช้เทคนิค regularization ทดลองดูว่าเราจะสามารถบรรเทาปัญหา overfitting ที่พบเจอได้หรือไม่\n", "\n", "

\n", "\n", "ในรูปแบบมาตรฐานของการใช้เทคนิค regularization เราจะเปลี่ยนหน้าตาของ loss function ไปจากเดิม โดยการเพิ่มพจน์ (term) เข้าไป เช่น การเปลี่ยน loss function ไปเป็น $L(y, \\hat{y}) =\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} +λ R(\\mathbf{\\hat{w}})$\n", "\n", "ในที่นี้เราใช้ $\\mathbf{\\hat{w}}$ เพื่ออ้างอิงถึง $\\hat{w_0}, \\hat{w_1}, ..., \\hat{w_{15}}$ พร้อมกัน\n", "\n", "เราเรียก $R(\\mathbf{\\hat{w}})$ ว่าเป็น regularization term ซึ่ง regularization ที่เราจะเห็นได้บ่อยที่สุด ประกอบด้วย\n", "\n", "\n", "* $R(\\mathbf{\\hat{w}})=\\|\\mathbf{\\hat{w}}\\|^2_2 = \\hat{w_0}^2 + \\hat{w_1}^2 + ... + \\hat{w_{15}}^2$ ซึ่งมีชื่อเรียกว่า L2 regularization หรือ Tikhonov regularization\n", "\n", "* $R(\\mathbf{\\hat{w}})=\\|\\mathbf{\\hat{w}}\\|_1 = |\\hat{w_0}| + |\\hat{w_1}| + ... + |\\hat{w_{15}}|$ หรือ L1 regularization\n", "\n", "

\n", "ถ้าหากเราเพิ่ม L2 regularization term เข้าไป จะส่งผลให้โจทย์ที่เราต้องแก้เปลี่ยนหน้าตาไปเป็น\n", "\n", "\n", "$\\min_{\\mathbf{\\hat{w}}}\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} +λ (\\hat{w_0}^2 + \\hat{w_1}^2 + ... + \\hat{w_{15}}^2)$\n", "\n", "ซึ่งเราเรียกว่า Ridge regression\n", "\n", "ในการหาค่าต่ำสุดของฟังก์ชันอันใหม่นี้ เราต้องการให้ทั้ง term ที่ 1 และ term ที่ 2 มีค่าที่ต่ำ\n", "\n", "โดยที่มี $λ \\ge 0$ เป็นตัวเลขที่ใช้ balance ว่า เราจะให้ความสำคัญกับ term ที่ 1 หรือ term ที่ 2 มากกว่ากัน\n", "\n", "

\n", "ถ้าหากเราเพิ่ม L1 regularization term เข้าไป โจทย์ของเราจะเปลี่ยนไปเป็น\n", "\n", "$\\min_{\\mathbf{\\hat{w}}}\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} +λ (\\hat{|w_0|} + \\hat{|w_1|} + ... + \\hat{|w_{15}}|)$\n", "\n", "ซึ่งเราจะเรียกว่า Least Absolute Shrinkage and Selection Operator (LASSO) โดยเราสามารถใช้ $λ\\ge0$ เป็นตัวกำหนดความสำคัญของแต่ละ term ได้เช่นกัน\n", "\n", "\n", "---" ] }, { "cell_type": "markdown", "metadata": { "id": "viG4HWk7D-tH" }, "source": [ "**ตัวอย่าง**\n", "สมมติเราใช้ L2 regularization โจทย์ของเราก็คือ\n", "\n", "$$\\min_{\\mathbf{\\hat{w}}}\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} +λ (\\hat{w_0}^2 + \\hat{w_1}^2 + ... + \\hat{w_{15}}^2)$$\n", "\n", "เรามาลองพิจารณาหลายๆ กรณีสุดโต่ง 2 กรณี\n", "\n", "\n", "1. หากกำหนดให้ $λ=0$ โจทย์ของเราจะกลายเป็น\n", "\n", "$$\\min_{\\mathbf{\\hat{w}}}\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} + 0 $$\n", "\n", "   เราจะได้ loss function ที่ไม่สนใจ regularization term หรือ term ที่ 2 เลย (ก็คือการแก้ปัญหาแบบไม่ใช้ regularization นั่นเอง)\n", "\n", "2. หากกำหนดให้ $λ=10^{10}$ ซึ่งมีค่าที่สูงมากๆ จะเห็นว่า term ที่ 2 จะมีน้ำหนักมากกว่า term ที่ 1 มาก ซึ่งจะส่งผลให้เกิดคำตอบ $\\mathbf{\\hat{w}}$ ที่มีค่าน้อย จนแทบจะมีค่าเป็น $0$ เพื่อให้พจน์ที่สอง มีค่าน้อยที่สุดเท่าที่เป็นไปได้ (ก็คือการแก้ปัญหาแบบแทบจะไม่ได้สนใจ term ที่ 1 เลย)\n", "\n", "ในทางปฏิบัติเราจะเลือกค่า $λ$ ที่เป็นจุดสมดุลที่ดีระหว่างทั้ง 2 terms\n", "\n", "เรามาลองใช้เทคนิค regularization กัน โดยการคัดลอกฟังก์ชัน `fit_and_predict_polynomial` มาปรับแก้แค่บรรทัดเดียว โดยการเปลี่ยนจะการเรียกใช้ `sklearn.linear_model.LinearRegression` ไปเป็น `sklearn.linear_model.Ridge`\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "id": "1c-19ZvXog04" }, "outputs": [], "source": [ "from sklearn.linear_model import Ridge\n", "\n", "# ฟังก์ชันสำหรับ fit โมเดล polynomial ที่มี order ที่กำหนด โดยใช้ L2 regularization และ ทำนายผลของโมเดลหลังจากถูกสอนด้วย training data แล้ว\n", "def fit_and_predict_polynomial_ridge(x_train, # ค่า x ที่ใช้เป็น input ของโมเดล (จาก training data)\n", " y_train, # ค่า y ที่ใช้เป็นเฉลยให้โมเดล (จาก training data)\n", " poly_order=4, # ค่า order ของ polynomial ที่เราใช้\n", " lambda_val = 0, # ค่า lambda ที่ใช้ balance ระหว่าง loss function เก่า (term ที่ 1) กับ regularization term (term ที่ 2)\n", " x_test_dict=None, # Python dictionary ที่ใช้เก็บชุดข้อมูลที่เราอยากจะนำมาทดสอบ โดยสามารถเลือกชุดข้อมูลผ่าน key ของ dictionary นี้\n", " y_test_dict=None): # Python dictionary ที่ใช้เก็บชุดข้อมูลที่ค่า y ที่เป็นเฉลยของข้อมูลที่นำมาทดสอบ โดยสามารถเลือกชุดข้อมูลผ่าน key ของ dictionary นี้\n", "\n", " # สร้างตัวแปรประเภท Python dictionary สำหรับเก็บค่า output ของฟังก์ชันนี้\n", " mse_dict = {} # ค่า mse\n", " out_x = {} # ค่า x ที่ใช้เป็น input ของโมเดล\n", " out_y_hat = {} # ค่า y ที่โมเดลตอบมา\n", " out_y = {} # ค่า y ที่เป็นเฉลย\n", "\n", " # สร้างโมเดลสำหรับแปลงจาก x เป็น z\n", " extract_poly_feat = PolynomialFeatures(degree=poly_order, include_bias=True)\n", "\n", " # แปลงจากค่า x ให้กลายเป็น z\n", " z_train = extract_poly_feat.fit_transform(x_train)\n", "\n", " ########### เราจะแก้แค่บรรทัดนี้โดยเปลี่ยนจาก LinearRegression มาเป็น Ridge() ###########\n", " # สร้างโมเดล y = w_0 + w_1*z + w_2 * z^2 + ... ที่มี L2 regularization\n", " model_poly = Ridge(alpha=lambda_val*x_train.shape[0])\n", "\n", " # สอนโมเดลจาก training data ที่ input ถูก transfrom จาก x มาเป็น z แล้ว\n", " model_poly.fit(z_train, y_train)\n", "\n", " # ทดสอบโมเดลบน training data\n", " y_hat_train = model_poly.predict(z_train)\n", "\n", " # ถ้าเกิดว่า user ไม่ได้ให้ test data มา จะใช้ training data เป็น test data\n", " if x_test_dict is None:\n", " x_test_dict = {}\n", " y_test_dict = {}\n", "\n", " # เพิ่ม training data เข้าไปใน test_dict เพื่อที่จะใช้เป็นหนึ่งในข้อมูลสำหรับที่จะให้โมเดลลองทำนาย\n", " x_test_dict['train'] = x_train\n", " y_test_dict['train'] = y_train\n", "\n", " # ทดสอบโมเดลบนข้อมูลแต่ละชุดข้อมูล (แต่ละชุดข้อมูลถูกเลือกจาก key ของ dictionary)\n", " for curr_mode in x_test_dict.keys():\n", "\n", " # แปลงค่า x ให้เป็น z เหมือนขั้นตอนด้านบนที่เรา fit โมเดล\n", " z_test = extract_poly_feat.fit_transform(x_test_dict[curr_mode])\n", "\n", " # ทำนายค่า y โดยใช้โมเดล\n", " y_hat_test = model_poly.predict(z_test)\n", "\n", " # คำนวณค่า mse บน test data\n", " mse_dict[curr_mode] = mse(y_test_dict[curr_mode], y_hat_test)\n", "\n", " # เตรียมข้อมูลเป็น output ของฟังก์ชันนี้ เผื่อเรียกใช้ภายหลัง เช่น การนำเอาข้อมูลไป plot\n", " out_x[curr_mode] = x_test_dict[curr_mode] # เก็บค่า x ที่นำมาทดสอบ\n", " out_y_hat[curr_mode] = y_hat_test # เก็บค่า y ที่โมเดลทำนายออกมา\n", " out_y[curr_mode] = y_test_dict[curr_mode] # เก็บค่า y ที่เป็นผลเฉลย\n", "\n", " return out_x, out_y_hat, out_y, mse_dict, model_poly.coef_.ravel()\n" ] }, { "cell_type": "markdown", "metadata": { "id": "1CrBQ7I5IPvN" }, "source": [ "ทดลอง fit โมเดล polynomial ที่มี order = 15 (ซึ่งเป็นโมเดลที่มีปัญหา overfitting) โดยใช้ $λ$ ค่าต่างๆ" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "VuuHwQvMIN72", "outputId": "e720aa7b-6b88-4b42-c2d4-ed717d90f925" }, "outputs": [ { "output_type": "display_data", "data": { "text/plain": [ "
" ], "image/png": 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}, "metadata": {} } ], "source": [ "# มีจำนวนข้อมูลแค่ 25 จุด\n", "num_samples = 25\n", "w = [0, 0, 1] # กำหนดให้สมการที่ถูกต้องคือ y = x^2\n", "\n", "# สุ่มข้อมูลมาสำหรับใช้ fit โมเดล\n", "x_train = 4*np.random.rand(num_samples,1) - 2\n", "y_train = generate_sample_poly(x_train, w, include_noise=True, noise_level=0.2)\n", "\n", "# สร้างข้อมูลที่ไม่มีสัญญาณรบกวนมาเปรียบเทียบ\n", "x_whole_line = np.linspace(-2, 2, 100)\n", "y_true_whole_line = generate_sample_poly(x_whole_line, w, include_noise=False)\n", "\n", "# สร้างข้อมูลสำหรับใช้ทดสอบ\n", "x_test = np.reshape(np.linspace(-3, 3, 1000), (-1, 1))\n", "y_test = generate_sample_poly(x_test, w, include_noise=True)\n", "\n", "# ทดลองปรับค่า lambda ดู\n", "lambda_list = [0, 1e-2, 1e-1, 1, 1e6, 1e8]\n", "\n", "# กำหนดให้ใช้ polynomial ที่มี order = 15\n", "poly_order = 15\n", "\n", "fig, ax = plt.subplots(2, 3, figsize=(20, 12))\n", "fig_row, fig_col = 0, 0\n", "\n", "for idx, curr_lambda in enumerate(lambda_list):\n", "\n", " # fit โมเดล ที่มี L2 regularization และให้โมเดลทำนายค่า y ออกมา\n", " if curr_lambda == 0:\n", "\n", " # ถ้าไม่มี regularization จะเรียกใช้ฟังก์ชันเดิม\n", " curr_outputs = fit_and_predict_polynomial(x_train,\n", " y_train,\n", " poly_order,\n", " {'test': x_test},\n", " {'test': y_test})\n", " else:\n", " # ถ้ามี regularization จะใช้ฟังก์ชันใหม่\n", " curr_outputs = fit_and_predict_polynomial_ridge(x_train,\n", " y_train,\n", " poly_order,\n", " curr_lambda,\n", " {'test': x_test},\n", " {'test': y_test})\n", " x_test = curr_outputs[0]['test']\n", " y_hat_test = curr_outputs[1]['test']\n", " model_coeffs = curr_outputs[4]\n", " regularization_value = norm(model_coeffs, ord=2)**(2) # Compute the squared L2 norm of the model's coefficients\n", "\n", " # แสดงผลการทำนาย\n", " if idx % 3 == 0 and idx != 0:\n", " fig_col = 0\n", " fig_row += 1\n", "\n", " ax[fig_row, fig_col].scatter(x_train, y_train, c='b', label='Observed')\n", " ax[fig_row, fig_col].plot(x_test, y_hat_test, c='r', label='Predicted (poly order = 15)')\n", " ax[fig_row, fig_col].plot(x_whole_line, y_true_whole_line,'k--', label='True')\n", " ax[fig_row, fig_col].set(xlabel='x', ylabel='y')\n", " ax[fig_row, fig_col].legend()\n", " ax[fig_row, fig_col].set_ylim(-3, 5)\n", " ax[fig_row, fig_col].set_xlim(-2, 2)\n", " ax[fig_row, fig_col].set_title(f\"Lambda = {curr_lambda}, the value of the reg term = {regularization_value:0.7f}\")\n", "\n", " fig_col += 1\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "KqgtETi0du0y" }, "source": [ "จากการทดสอบด้านบน สังเกตได้ว่า\n", "\n", "\n", "* ถ้ากำหนดให้ $λ=0$ จะทำให้เกิดปัญหา overfitting โดยสิ่งที่โมเดลทำนาย จะ fit กับ training data (จุดสีน้ำเงิน) ได้ค่อนข้างดี ในขณะที่โมเดลไม่สามารถทำนายในบริเวณที่อยู่นอก training data ได้อย่างแม่นยำ สังเกตได้จากเส้นสีแดงมีค่าที่เปลี่ยนไปอย่างรวดเร็ว (แกว่งไปมา) และมีหน้าตาที่แตกต่างจากความสัมพันธ์ที่แท้จริง (เส้นประสีดำ) เป็นอย่างมาก\n", "\n", "* การกำหนดให้ค่า $λ > 0$ ส่งผลให้เส้นสีแดงเริ่มแกว่งตัวน้อยลง\n", "\n", "\n", "* การเพิ่มค่า $λ$ ให้สูงขึ้นไปเรื่อยๆ จะส่งผลให้โมเดลให้ความสนใจในการลดค่าของ regularization term มากยิ่งขึ้นเรื่อยๆ แสดงให้เห็นจากค่า $\\hat{w_0}^2 + \\hat{w_1}^2 + ... + \\hat{w_{15}}^2$ ที่ลดลงเรื่อยๆ\n", "\n", "* การที่โมเดลให้ความสนใจในการลดค่าของ regularization term ไปเรื่อยๆ (จากการเพิ่มค่า $λ$) จะส่งผลให้โมเดลสนใจที่จะ fit กับ training data (จุดสีน้ำเงิน) น้อยลงเรื่อยๆ ทำให้ได้ผลลัพธ์เป็นโมเดลที่มีหน้าตาแตกต่างจากทั้งข้อมูลที่เก็บมา (สีน้ำเงิน) และความสัมพันธ์ที่แท้จริง (เส้นประสีดำ)\n", "\n", "จากตัวอย่างนี้ จะเห็นได้ว่า การใช้ regularization โดยที่ปรับค่า $λ$ ได้อย่างเหมาะสม สามารถช่วยบรรเทาปัญหา overfitting ได้ในระดับหนึ่ง ซึ่งในปัจจุบัน ได้มีการคิดค้น regularization term ต่างๆ ขึ้นมามากมาย โดยที่แต่ละตัวที่คิดค้นมา ก็มีความเหมาะสมกับโจทย์ที่แตกต่างกัน ในสถานการณ์ที่แตกต่างกัน\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "id": "0vEE4PySPjA-" }, "source": [ "**ผู้จัดเตรียม code ใน tutorial**: ดร. อิทธิ ฉัตรนันทเวช" ] } ], "metadata": { "colab": { 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