{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "Eixy3e7S6SgR" }, "source": [ "# 03 머신러닝의 기초를 다집니다" ] }, { "cell_type": "markdown", "metadata": { "id": "czUiXf7q6SgT" }, "source": [ "이 노트북을 주피터 노트북 뷰어(nbviewer.jupyter.org)로 보거나 구글 코랩(colab.research.google.com)에서 실행할 수 있습니다.\n", "\n", "\n", " \n", " \n", "
\n", " 주피터 노트북 뷰어로 보기\n", " \n", " 구글 코랩(Colab)에서 실행하기\n", "
" ] }, { "cell_type": "markdown", "metadata": { "id": "1kmOWJoZ6SgT" }, "source": [ "## 03-1 선형 회귀에 대해 알아봅니다" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "ep8QyjH36SgU" }, "outputs": [], "source": [ "from sklearn.datasets import load_diabetes\n", "diabetes = load_diabetes()" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "LsnosVo96SgU", "outputId": "b72749b2-47a8-42f5-8d86-f1a097a2c1d2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(442, 10) (442,)\n" ] } ], "source": [ "print(diabetes.data.shape, diabetes.target.shape)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "uWgg7AE36SgV", "outputId": "3aad0852-a230-450b-db6f-90768dd12ab2" }, "outputs": [ { "data": { "text/plain": [ "array([[ 0.03807591, 0.05068012, 0.06169621, 0.02187235, -0.0442235 ,\n", " -0.03482076, -0.04340085, -0.00259226, 0.01990842, -0.01764613],\n", " [-0.00188202, -0.04464164, -0.05147406, -0.02632783, -0.00844872,\n", " -0.01916334, 0.07441156, -0.03949338, -0.06832974, -0.09220405],\n", " [ 0.08529891, 0.05068012, 0.04445121, -0.00567061, -0.04559945,\n", " -0.03419447, -0.03235593, -0.00259226, 0.00286377, -0.02593034]])" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "diabetes.data[0:3]" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "y0GPgsNs6SgV", "outputId": "b5484e75-4741-442f-ed53-13573fa51bd1" }, "outputs": [ { "data": { "text/plain": [ "array([151., 75., 141.])" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "diabetes.target[:3]" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "id": "MoMgDqdN6SgW" }, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 300 }, "id": "LSSQRPKJ6SgW", "outputId": "9d9fbf9a-4309-4336-9477-6695faf2aad6" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(diabetes.data[:, 2], diabetes.target)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "id": "xPDIzjH56SgX" }, "outputs": [], "source": [ "x = diabetes.data[:, 2]\n", "y = diabetes.target" ] }, { "cell_type": "markdown", "metadata": { "id": "z1ACLG0D6SgX" }, "source": [ "<퀴즈> 슬라이싱을 사용해 훈련 데이터 x에서 100번째 부터 109번째 까지 샘플을 출력해 보세요. 슬라이싱한 배열의 크기는 얼마인가요?" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "BSgqDcOn6SgY", "outputId": "6c2aff1f-3499-47eb-a702-10449db76e94" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[-0.06440781 0.01750591 -0.04500719 0.02828403 0.04121778 0.06492964\n", " -0.03207344 -0.07626374 0.04984027 0.04552903] (10,)\n" ] } ], "source": [ "x_sample = x[99:109]\n", "print(x_sample, x_sample.shape)" ] }, { "cell_type": "markdown", "metadata": { "id": "TmQ-3u306SgY" }, "source": [ "## 03-2 경사 하강법에 대해 알아봅니다" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "id": "Hm2LwCit6SgZ" }, "outputs": [], "source": [ "w = 1.0\n", "b = 1.0" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "r9RIsOex6SgZ", "outputId": "98ee4d8c-3fad-4b85-b16c-2f77e99f94dc" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0616962065186886\n" ] } ], "source": [ "y_hat = x[0] * w + b\n", "print(y_hat)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "SChCm2f_6Sga", "outputId": "9479b30d-3731-44e8-c5d3-d433edc264e8" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "151.0\n" ] } ], "source": [ "print(y[0])" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "tdvDmsNl6Sga", "outputId": "cd336588-bf5f-4465-d749-740a834391f0" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0678658271705574\n" ] } ], "source": [ "w_inc = w + 0.1\n", "y_hat_inc = w_inc * x[0] + b\n", "print(y_hat_inc)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "uRgRE2_M6Sgb", "outputId": "d508f469-ecc1-4fcc-f6e4-f6ba08c71561" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.061696206518688734\n" ] } ], "source": [ "w_rate = (y_hat_inc - y_hat) / (w_inc - w)\n", "print(w_rate)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "ARhq_leX6Sgb", "outputId": "74981716-ffab-4d96-9aed-c1d62e27570d" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0616962065186888\n" ] } ], "source": [ "w_new = w + w_rate\n", "print(w_new)" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "qJ4VOtGw6Sgb", "outputId": "df836e65-29bc-4fba-f62a-33be1e0b9d06" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.1616962065186887\n" ] } ], "source": [ "b_inc = b + 0.1\n", "y_hat_inc = x[0] * w + b_inc\n", "print(y_hat_inc)" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "DXNqaGuZ6Sgc", "outputId": "a7f464b5-99ea-44db-aa2d-fb437002dc52" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0\n" ] } ], "source": [ "b_rate = (y_hat_inc - y_hat) / (b_inc - b)\n", "print(b_rate)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "tmfVGKaP6Sgc", "outputId": "4ece1631-1f7e-442a-f2b6-e404149f8ccc", "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.0\n" ] } ], "source": [ "b_new = b + 1\n", "print(b_new)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "QeZXDDgs6Sgc", "outputId": "2daf1eaf-b6ae-4a45-a14d-7c7f9350dbbd", "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "10.250624555904514 150.9383037934813\n" ] } ], "source": [ "err = y[0] - y_hat\n", "w_new = w + w_rate * err\n", "b_new = b + 1 * err\n", "print(w_new, b_new)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "lLf4i6xH6Sgc", "outputId": "14d2b587-a926-4197-c1b7-2cdd46d7fae9" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "14.132317616381767 75.52764127612664\n" ] } ], "source": [ "y_hat = x[1] * w_new + b_new\n", "err = y[1] - y_hat\n", "w_rate = x[1]\n", "w_new = w_new + w_rate * err\n", "b_new = b_new + 1 * err\n", "print(w_new, b_new)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "a507OWTj6Sgd", "outputId": "94b9fc99-e5a8-4d91-d9e1-defb411ad23c", "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "587.8654539985689 99.40935564531424\n" ] } ], "source": [ "for x_i, y_i in zip(x, y):\n", " y_hat = x_i * w + b\n", " err = y_i - y_hat\n", " w_rate = x_i\n", " w = w + w_rate * err\n", " b = b + 1 * err\n", "print(w, b)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 300 }, "id": "JjlN1y6W6Sgd", "outputId": "de4a2336-a529-41d4-f74d-81085e4ce579", "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(x, y)\n", "pt1 = (-0.1, -0.1 * w + b)\n", "pt2 = (0.15, 0.15 * w + b)\n", "plt.plot([pt1[0], pt2[0]], [pt1[1], pt2[1]])\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "DRSSCJiD6Sgd", "outputId": "2b4a492c-1902-47e4-e5d6-f17682e48309" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "913.5973364345905 123.39414383177204\n" ] } ], "source": [ "for i in range(1, 100):\n", " for x_i, y_i in zip(x, y):\n", " y_hat = x_i * w + b\n", " err = y_i - y_hat\n", " w_rate = x_i\n", " w = w + w_rate * err\n", " b = b + 1 * err\n", "print(w, b)" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 300 }, "id": "U6Ha09PJ6Sge", "outputId": "260d5899-7505-44f5-e9b8-54a73e2c181e", "scrolled": false }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(x, y)\n", "pt1 = (-0.1, -0.1 * w + b)\n", "pt2 = (0.15, 0.15 * w + b)\n", "plt.plot([pt1[0], pt2[0]], [pt1[1], pt2[1]])\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 24, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "_nATDouZ6Sge", "outputId": "dd132774-7ea4-4518-9942-b1e96627efae" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "287.8416643899983\n" ] } ], "source": [ "x_new = 0.18\n", "y_pred = x_new * w + b\n", "print(y_pred)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 300 }, "id": "xmSu0SFi6Sge", "outputId": "acdcca10-bed3-4ac0-81b8-d4c8bee09292", "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(x, y)\n", "plt.scatter(x_new, y_pred)\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": { "id": "rI_dgx-36Sgf" }, "source": [ "## 03-4 뉴런을 만들어봅니다" ] }, { "cell_type": "code", "execution_count": 26, "metadata": { "id": "MQBkMMmG6Sgf" }, "outputs": [], "source": [ "class Neuron:\n", " \n", " def __init__(self):\n", " self.w = 1.0 # 가중치를 초기화합니다\n", " self.b = 1.0 # 절편을 초기화합니다\n", " \n", " def forpass(self, x):\n", " y_hat = x * self.w + self.b # 직선 방정식을 계산합니다\n", " return y_hat\n", " \n", " def backprop(self, x, err):\n", " w_grad = x * err # 가중치에 대한 그래디언트를 계산합니다\n", " b_grad = 1 * err # 절편에 대한 그래디언트를 계산합니다\n", " return w_grad, b_grad\n", "\n", " def fit(self, x, y, epochs=100):\n", " for i in range(epochs): # 에포크만큼 반복합니다\n", " for x_i, y_i in zip(x, y): # 모든 샘플에 대해 반복합니다\n", " y_hat = self.forpass(x_i) # 정방향 계산\n", " err = -(y_i - y_hat) # 오차 계산\n", " w_grad, b_grad = self.backprop(x_i, err) # 역방향 계산\n", " self.w -= w_grad # 가중치 업데이트\n", " self.b -= b_grad # 절편 업데이트" ] }, { "cell_type": "code", "execution_count": 27, "metadata": { "id": "Y6m6-_cv6Sgg" }, "outputs": [], "source": [ "neuron = Neuron()\n", "neuron.fit(x, y)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 300 }, "id": "SEwLEPiQ6Sgh", "outputId": "96ba8553-93e3-42fc-db21-cd1af865848e", "scrolled": true }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.scatter(x, y)\n", "pt1 = (-0.1, -0.1 * neuron.w + neuron.b)\n", "pt2 = (0.15, 0.15 * neuron.w + neuron.b)\n", "plt.plot([pt1[0], pt2[0]], [pt1[1], pt2[1]])\n", "plt.xlabel('x')\n", "plt.ylabel('y')\n", "plt.show()" ] } ], "metadata": { "colab": { "name": "Ch03.ipynb", "provenance": [] }, "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": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 1 }