{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 07wk-1: Numpy 활용 (1)\n", "\n", "최규빈 \n", "2023-04-17\n", "\n", "\n", "\n", "# 강의영상\n", "\n", "> youtube:\n", "> \n", "\n", "- 강의영상 재촬영하여 업로드했습니다.\n", "\n", "# import" ], "id": "51660434-f80a-426d-8f72-062d073e2bf0" }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import numpy as np" ], "id": "fa27d6ff-db42-49bd-8bef-5d76c35ab2cb" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 예비학습: matplotlib" ], "id": "239b1ff2-fb07-47b5-a4a5-2e40a447486c" }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt" ], "id": "5877b2f6-1bb8-41e2-9e03-a4e9aeff8b75" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## line plot\n", "\n", "### 기본플랏\n", "\n", "`-` 예시1" ], "id": "8c2c8095-55d7-455e-ba46-be15101c7303" }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "x=[1,2,3,4]\n", "y=[1,2,4,3] " ], "id": "d6b0e690-513a-4508-be8e-1d25856cf1f1" }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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N7F2gP5DgnGuVy/LLgC+BHTlfmumce86PGUNeRmYWby/Zwbj5mylWtAh/u6E1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\nAAAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y)" ], "id": "1c8b0b53-5e92-44ef-86d3-079a696f12bc" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 모양변경\n", "\n", "`-` 예시1" ], "id": "70167cb8-e6d4-48b3-916b-0ecbfddaf877" }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,':')" ], "id": "23451d88-8c5a-4206-9580-09581fed8f12" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시3" ], "id": "cdab0b5b-4088-42fa-954f-60efcc9c64ae" }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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O6KKzNUUkOBqhH4Sy8gqe+HglA0d+xH++qlwV4eL+HWjfVCsjikhwNEI/QIu+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\nLAAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y,'-.')" ], "id": "8a4973e8-27fc-4c93-9592-8d115d877704" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 색상변경\n", "\n", "`-` 예시1" ], "id": "ed328ea4-10da-439f-906a-1c18f730a65d" }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,'r')" ], "id": "4ee5683d-c140-4bb3-ae77-ac96a5ede26c" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시2" ], "id": "767ed532-6e65-446b-8a4b-d11daac02ca0" }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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du3fTpk0bWrRoQZkyZfj444958cUXKVGihNfRRCSIqNCDmHOOqVOnEhERwaxZ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\nYII=\n" } } ], "source": [ "plt.plot(x,y,'k')" ], "id": "426d6801-5387-49e6-8c8e-00bfee8d9e21" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 모양 + 색상변경\n", "\n", "`-` 예시1" ], "id": "f0c046fe-c8cc-435b-9038-057e5b8fa8ee" }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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r4u5Z+wBOBY4FPqhkf1dgCmBAB2BG1DHX8Dw6AS9HHWeS59IMODax3RD4GGiZ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\nXUQkJpTQRURiQgldRCQmlNBFRGLi/wFQeS31uMRpOAAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y,'--r')" ], "id": "d890cfc2-f7b2-4fa7-9be4-c77bcdabda26" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시2: 순서변경 가능" ], "id": "547b9a01-286f-4181-8682-fdf1ac002bcd" }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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r4u5Z+wBOBY4FPqhkf1dgCmBAB2BG1DHX8Dw6AS9HHWeS59IMODax3RD4GGiZ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\nXUQkJpTQRURiQgldRCQmlNBFRGLi/wFQeS31uMRpOAAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y,'r--')" ], "id": "576545d5-2561-4b7e-801f-2c1b04dd7974" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 원리? ($\\star$)\n", "\n", "`-` `r--`등의 옵션은 Markers + Line Styles + Colors 의 조합으로 표현가능\n", "\n", "ref:\n", "\n", "\n", "- `--r`: 점선(dashed)스타일 + 빨간색\n", "- `r--`: 빨간색 + 점선(dashed)스타일\n", "- `:k`: 점선(dotted)스타일 + 검은색\n", "- `k:`: 검은색 + 점선(dotted)스타일\n", "\n", "`-` 우선 Marker를 무시하면 Line Styles + Color로 표현가능한 조합은\n", "$4\\times 8=32$ 개\n", "\n", "**(Line Styles)** 모두 4개\n", "\n", "| character | description |\n", "|:---------:|:-------------------:|\n", "| ‘-’ | solid line style |\n", "| ‘–’ | dashed line style |\n", "| ‘-.’ | dash-dot line style |\n", "| ‘:’ | dotted line style |\n", "\n", "**(Color)** 모두 8개\n", "\n", "| character | color |\n", "|:---------:|:-------:|\n", "| ‘b’ | blue |\n", "| ‘g’ | green |\n", "| ‘r’ | red |\n", "| ‘c’ | cyan |\n", "| ‘m’ | magenta |\n", "| ‘y’ | yellow |\n", "| ‘k’ | black |\n", "| ‘w’ | white |\n", "\n", "## scatter plot\n", "\n", "### 기본플랏\n", "\n", "`-` 예시1" ], "id": "8ae4f7f3-7040-42f3-b017-ecaad516014d" }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,'o')" ], "id": "6d980bc3-6d56-4c10-b616-d2c8539d27f2" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시2" ], "id": "0c1b2087-9bfc-48e0-a441-626677fd8de8" }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,'.')" ], "id": "af509db0-6514-499a-b5c3-dc86df4487b4" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시3" ], "id": "354a2ba8-6f95-445a-b0e9-60fb370d46f9" }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,'x')" ], "id": "7e3ac0bb-b6ca-49f9-a98e-88c3f560ab4f" }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 색깔변경\n", "\n", "`-` 예시1" ], "id": "86d34a60-7370-4f38-9847-fa47821d6ae4" }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,'or')" ], "id": "5427d802-a38c-4b18-9f59-4f6b2b395bbb" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시2" ], "id": "f3d6388e-8d5b-4074-a334-89ad93fe80a3" }, { "cell_type": "code", "execution_count": 54, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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3+DGpqmX7Av4duBZ4ep79m4BHgADXAweHXfM59uNG4OFh19lnXy4Hru0uvw34X+DKURuX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\n" } } ], "source": [ "plt.plot(x,y,'db')" ], "id": "c6d2ab92-0f41-424e-a29b-51c526ad1dfa" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시3" ], "id": "b3f91dcd-9c4b-4712-85a0-cafa58e20475" }, { "cell_type": "code", "execution_count": 56, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,'bx')" ], "id": "7f4d479c-569c-4517-a097-cc1398ae6883" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## dot-connected plot\n", "\n", "`-` 예시1: 마커와 라인스타일을 동시에 사용하면 dot-connected plot이\n", "된다." ], "id": "710705be-3f34-42e7-b61a-7d835d4c4338" }, { "cell_type": "code", "execution_count": 59, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,'o-')" ], "id": "4e08466b-46b1-4a8c-9690-76ac29f1fd0f" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시2: 당연히 색도 적용가능함" ], "id": "58a0cbbb-f2a7-471f-8922-ae60bfc95487" }, { "cell_type": "code", "execution_count": 61, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.plot(x,y,'o--r')" ], "id": "43ab499d-9301-4a0d-b5ea-4e785345b0d8" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시3: 서로 순서를 바꿔도 상관없다." ], "id": "a8a4b887-537e-411c-a5c6-edee21f13c9b" }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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xuZa4XAfoWqqVk33oIiLybbnaQhcRkQqU0EVEYiKrE3pWLVBdB0lcR3czW2Nm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\nAElFTkSuQmCC\n" } } ], "source": [ "plt.plot(x,y,'ro--')" ], "id": "322ebdad-4c5f-457b-aab0-b9b382ea5662" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 겹쳐그리기\n", "\n", "`-` 예시1" ], "id": "2ab3a1d9-923f-49cd-8dfc-795ccf63a920" }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "x = np.arange(-5,5,0.1)\n", "ϵ = np.random.randn(100) \n", "y = 2*x + ϵ" ], "id": "e22e4643-271e-4ce0-bf80-5da2bad26e97" }, { "cell_type": "code", "execution_count": 53, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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2/PUU+ORV53d9j0togAftZhWR0NKmXBNt+SVwUjU3J5spc1Z+X9Lp3R7eut9p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\nZzNIYQAAAABJRU5ErkJggg==\n" } } ], "source": [ "plt.plot(x,y,'.')\n", "plt.plot(x,2*x,'--')" ], "id": "903f9ebc-68bc-4fb7-8812-c699b3b5380a" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 이미지자료의 이해 및 시각화\n", "\n", "`-` 참고: [빛의삼원색](https://ko.wikipedia.org/wiki/%EC%9B%90%EC%83%89)\n", "\n", "`-` 이미지자료의 이해: 이미지자료는 rgb값이 저장된 3개의 매트릭스를\n", "쌓은것이라 이해가능\n", "\n", "- 이미지자료의 shape은 (가로픽셀, 세로픽셀, 3) 이다. // 5\\*5\n", " 이미지라면 (5,5,3)\n", "- 3은 RGB 빛의 밝기를 정의함.\n", "- 밝기는 0-255 사이의 int, 0-1 사이의 float으로 정한다.\n", "- int 255 혹은 float 1 은 해당색이 매우 밝다는 것을 의미함.\n", "- 각 픽셀의 색깔은 RGB의 밝기 (RGB의 값) 으로 조정가능하다. (따라서 총\n", " 256*256*256 개의 색상을 표현할 수 있다.)\n", "\n", "`-` 예시1" ], "id": "2d48089e-493d-44f5-8cb7-b03031e066f0" }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [], "source": [ "r = np.array([0]*25*3).reshape(5,5,3) \n", "g = np.array([0]*25*3).reshape(5,5,3) \n", "b = np.array([0]*25*3).reshape(5,5,3) " ], "id": "10b6be72-4150-4ed0-bf53-03412f3aa291" }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "r[:3,:3,0] = 255 " ], "id": "bd00203e-23c5-4df5-bae7-05a9b2285715" }, { "cell_type": "code", "execution_count": 79, "metadata": {}, "outputs": [], "source": [ "r[:3,:3,0] = 255 \n", "g[:3,2:,1] = 255\n", "b[2:,:,2] = 255 " ], "id": "4413d9a5-38b5-4701-86a4-449dc1575ee3" }, { "cell_type": "code", "execution_count": 80, "metadata": {}, "outputs": [], "source": [ "r[:,:,0], r[:,:,1], r[:,:,2]" ], "id": "81ff7146-0fc7-484b-9023-ee30cfe6d699" }, { "cell_type": "code", "execution_count": 81, "metadata": {}, "outputs": [], "source": [ "g[:,:,0], g[:,:,1], g[:,:,2]" ], "id": "86da18bb-b562-444b-8ef1-43f0bd4559b9" }, { "cell_type": "code", "execution_count": 82, "metadata": {}, "outputs": [], "source": [ "b[:,:,0], b[:,:,1], b[:,:,2]" ], "id": "02eaa771-a0c6-433e-a46e-6c2f70c08884" }, { "cell_type": "code", "execution_count": 84, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.imshow(r+g+b)" ], "id": "aa4497ab-6d0c-4013-ae6f-44d285919697" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시2: r,g,b에 작은 숫자를 주면 점점 어두워 진다." ], "id": "c7306152-5e5f-4c96-91bc-d97c622aedaf" }, { "cell_type": "code", "execution_count": 85, "metadata": {}, "outputs": [], "source": [ "r = np.array([0]*25*3).reshape(5,5,3) \n", "g = np.array([0]*25*3).reshape(5,5,3) \n", "b = np.array([0]*25*3).reshape(5,5,3) " ], "id": "ce8a1fa0-4681-426c-8dee-98c1ad6d0bba" }, { "cell_type": "code", "execution_count": 86, "metadata": {}, "outputs": [], "source": [ "r[:3,:3,0] = 80\n", "g[:3,2:,1] = 80\n", "b[2:,:,2] = 80" ], "id": "a8ed0179-044b-481f-8676-f8ea729c3cf3" }, { "cell_type": "code", "execution_count": 87, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAD4CAYAAAA0L6C7AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\ngWKIGiiGqIFiiBoohqiBYv4HJynJ44iJqpQAAAAASUVORK5CYII=\n" } } ], "source": [ "plt.imshow((r+g+b))" ], "id": "7cd36e7d-d327-4d05-9f81-cd28f18e2e8f" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`-` 예시3: r,g,b 값이 float으로 저장되었다면 표준화가 진행된것으로\n", "컴퓨터가 이해한다." ], "id": "df2e976a-825e-4e2f-9ea8-bb86646dd343" }, { "cell_type": "code", "execution_count": 89, "metadata": {}, "outputs": [], "source": [ "r = np.array([0]*25*3).reshape(5,5,3) \n", "g = np.array([0]*25*3).reshape(5,5,3) \n", "b = np.array([0]*25*3).reshape(5,5,3)" ], "id": "aa9949e4-b278-488d-9e9b-7fa8fe88163e" }, { "cell_type": "code", "execution_count": 102, "metadata": {}, "outputs": [], "source": [ "r[:3,:3,0] = 1\n", "g[:3,2:,1] = 1\n", "b[2:,:,2] = 1" ], "id": "4e4133df-29d4-481b-b288-98cb7ebfd458" }, { "cell_type": "code", "execution_count": 104, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.imshow(r+g+b)" ], "id": "28f89719-f013-444b-b86d-9b53d47ed14f" }, { "cell_type": "code", "execution_count": 108, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "plt.imshow((r+g+b)*1.0) # array의 각 원소의 자료형이 float이면 표준화된 자료라고 이해하고 칼라스케일을 다시 맞춰줌. " ], "id": "818685c7-8f16-4036-8a12-ce912022e213" }, { "cell_type": "code", "execution_count": 109, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "Clipping input data to the valid range for imshow with RGB data ([0..1] for floats or [0..255] for integers)." ] }, { "output_type": "display_data", "metadata": {}, "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAPUAAAD4CAYAAAA0L6C7AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\nPE4AAAAASUVORK5CYII=\n" } } ], "source": [ "plt.imshow((r+g+b)*2.0) # 2.0을 곱해도 출력하긴 해줌.. (경고메시지 발생) " ], "id": "27438622-ec25-4d75-828b-bbc01460f823" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# 넘파이 활용 (1단계)\n", "\n", "## 그래프\n", "\n", "`1`. $y(t)=\\cos(2t)$와 $x(t)=\\sin(t)$를 고려하자. $y(t)=x(t)$는\n", "$-3.14\\leq t \\leq 3.14$ 에서 몇 개의 해를 가지는가? 그래프를 통하여\n", "확인하라.\n", "\n", "(풀이)" ], "id": "7a3328db-b263-494e-b7a4-dec3f92a9bfe" }, { "cell_type": "code", "execution_count": 131, "metadata": {}, "outputs": [], "source": [ "t = np.linspace(-3.14,3.14,1000)\n", "y = np.cos(2*t)\n", "x = np.sin(t)" ], "id": "dbface45-5995-4f6e-910c-0d3d6ef1c7b9" }, { "cell_type": "code", "execution_count": 132, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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wv2Xb2XXIeyoTW6IIRGSSiGSLSK6IPFDH73eLyEZn8/q5ItK11m/VIrLa+fr8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\nSHe76zml4X0NJzCKwMOkd4jgtrFpfLF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PBL5WSvWuZ46bgJsAunTpMmjbtm0uy234maOV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\n/yGAYW2M0qZKAAAAAElFTkSuQmCC\n" } } ], "source": [ "plt.plot(t,x)\n", "plt.plot(t,y)" ], "id": "54d13369-92d0-40b7-bf41-237562c07fb0" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`2-3`. 아래와 같은 합성함수를 생각하라.\n", "\n", "- $l(x)=w_0+w_1x$\n", "- $a(x)=\\frac{1}{1+e^{-x}}$\n", "\n", "`2`. $x \\in [-5,5]$의 범위에서 $a(l(x))$의 그래프를 그려라. 단 이때\n", "$w_0=0, w_1=1$로 설정한다.\n", "\n", "(풀이)\n", "\n", "$y=a(l(x))= a(w_0+w_1x) = 1/(1+\\exp(-w_0-w_1x))$\n", "\n", "그런데, $w_0=0$ 이고 $w_1=1$ 이므로 $y=a(l(x)) = 1/ (1+\\exp(-x))$ 이다." ], "id": "9c82d618-1cdd-4138-b052-c9a9e9bdf2cd" }, { "cell_type": "code", "execution_count": 134, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "x = np.linspace(-5,5,100)\n", "y = 1/(1+np.exp(-x))\n", "plt.plot(x,y)" ], "id": "79aeb290-784f-4de5-9708-fe6670025396" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`3`. 아래는 $a(l(x))$의 성질에 대하여 토의한 내용이다. 올바르게 서술한\n", "학생을 골라라.\n", "\n", "- 하영: $w_0=0,w_1=1$ 이면 $a(l(x))$는 증가하는 함수이다.\n", "- 재인:\n", "- 서연:\n", "- 보람:\n", "- 지윤:\n", "\n", "(풀이)\n", "\n", "아래와 같은 함수를 선언한뒤에 하나씩 체크해 나가면된다." ], "id": "4a4e42b9-95e4-4e88-8a3b-7d86006cfe02" }, { "cell_type": "code", "execution_count": 144, "metadata": {}, "outputs": [], "source": [ "def l(x,w0=0,w1=1): \n", " return w0+w1*x \n", "def a(x): \n", " return 1/(1+np.exp(-x))" ], "id": "e80c3c51-348f-4bc0-ae91-dd3a3d0a6f0e" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 자료를 저장하는 행렬\n", "\n", "`-` 제 생각: 통계학과에서 매트릭스를 바라볼때 2가지중 하나로 봐야한다.\n", "\n", "1. 데이터를 저장하는 관점에서의 행렬: $X_{n\\times p}$인 정형자료, $X$가\n", " 이미지자료 \n", "2. 데이터를 변환하는 관점에서의 행렬: 선형변환 (회전변환, 평균을 구하는\n", " 행렬 등)" ], "id": "3a411989-0384-456c-8a71-a049aa2708e9" }, { "cell_type": "code", "execution_count": 153, "metadata": {}, "outputs": [], "source": [ "data=[70,80,75,85,95]\n", "trans = [1/5]*5" ], "id": "81c01758-6daa-4e78-b6f7-770811ce6190" }, { "cell_type": "code", "execution_count": 158, "metadata": {}, "outputs": [], "source": [ "np.array(data) @ np.array(trans)" ], "id": "98425375-ef88-4e9a-8e9c-cf5bfb631549" }, { "cell_type": "code", "execution_count": 160, "metadata": {}, "outputs": [], "source": [ "sum(data)/5" ], "id": "166602e1-f11f-4d0b-980c-ad222cc565d3" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`1-2`. 아래와 같은 자료를 관측하였다고 하자." ], "id": "df585b5c-bed4-4844-887c-7df853345c8b" }, { "cell_type": "code", "execution_count": 161, "metadata": {}, "outputs": [], "source": [ "X = np.array([[11.75 , 5.72 ],\n", " [12.39 , 7.695],\n", " [11.75 , 6.93 ],\n", " [11.625, 4.195],\n", " [12.6 , 6.734],\n", " [11.13 , 6.688],\n", " [12.24 , 7.33 ],\n", " [13.586, 1.072],\n", " [10.9 , 4.125],\n", " [10.68 , 3.691]])" ], "id": "ce5cc06e-2645-4acb-b239-9646e67505e9" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`1`. X를 평균과 표준편차를 columnwise 하게 구하라. 즉 1열의 평균, 2열의\n", "평균, 1열의 표준편차, 2열의 표준편차를 구하라.\n", "\n", "**note:** 표준편차는 `ddof=1`과 함께 `np.std()`를 사용할 것\n", "\n", "(풀이)" ], "id": "043c4d13-b1aa-46b1-b865-1be7696955c1" }, { "cell_type": "code", "execution_count": 173, "metadata": {}, "outputs": [], "source": [ "X.mean(axis=0)" ], "id": "abd2d2e7-b752-477e-8603-5977d8ee3d25" }, { "cell_type": "code", "execution_count": 172, "metadata": {}, "outputs": [], "source": [ "X.std(ddof=1,axis=0)" ], "id": "46fcda06-6aae-4243-8cee-e7a5fd83bc43" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`2`. X를 columnwise 하게 표준화하라.\n", "\n", "**hint:** `np.apply_along_axis`의 함수의 기능을 관찰하고 이용하라.\n", "\n", "(예시1)" ], "id": "a7c9ccfe-6019-4e6a-a023-996e89e44537" }, { "cell_type": "code", "execution_count": 182, "metadata": {}, "outputs": [], "source": [ "X.mean(axis=0)" ], "id": "d38a0627-1d3e-43f7-8b42-b981850a0b23" }, { "cell_type": "code", "execution_count": 183, "metadata": {}, "outputs": [], "source": [ "X.mean(axis=0), np.apply_along_axis(np.mean,axis=0,arr=X) " ], "id": "467fc418-cec0-4e08-9b82-f954afc62ca6" }, { "cell_type": "markdown", "metadata": {}, "source": [ "(예시2)" ], "id": "19cca7a5-1e8f-41ea-a7e2-bc719064a30b" }, { "cell_type": "code", "execution_count": 189, "metadata": {}, "outputs": [], "source": [ "def f(arr):\n", " return arr - np.min(arr) \n", "X, np.apply_along_axis(f,axis=0,arr=X)" ], "id": "1c07a256-facf-4e7f-a821-15f745fbd868" }, { "cell_type": "markdown", "metadata": {}, "source": [ "(풀이)" ], "id": "d8ed9953-024e-4dea-92d0-40d4e8027229" }, { "cell_type": "code", "execution_count": 190, "metadata": {}, "outputs": [], "source": [ "def f(arr): \n", " return (arr-arr.mean()) / arr.std(ddof=1)" ], "id": "c988a55a-c569-478f-98d0-5a14f98537e4" }, { "cell_type": "code", "execution_count": 191, "metadata": {}, "outputs": [], "source": [ "np.apply_along_axis(f,axis=0,arr=X)" ], "id": "7a85539c-8aa1-453a-8dd6-acdb3b0ee736" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`3-5`. 아래는 이미지파일을 불러오는 코드이다." ], "id": "82a51121-3218-4a54-8ff5-e108d3401fa1" }, { "cell_type": "code", "execution_count": 194, "metadata": {}, "outputs": [], "source": [ "import PIL " ], "id": "05fa524d-fbb3-4134-861e-1c1b4c480f89" }, { "cell_type": "code", "execution_count": 198, "metadata": {}, "outputs": [], "source": [ "!wget https://raw.githubusercontent.com/guebin/SC2022/main/hani.jpeg\n", "hani = np.einsum('ijk->jik',np.array(PIL.Image.open('hani.jpeg'),dtype=np.int64)/255)\n", "!rm hani.jpeg" ], "id": "5af12261-b0b1-4a10-9045-a27efefaafb2" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- note: 위 코드는 코랩 혹은 리눅스기반 환경에서 동작가능.\n", "\n", "- 주피터노트북의 경우 아래의 절차를 따를 것\n", "\n", " 1. \n", " 에서 직접사진을 다운로드\n", " 2. 현재작업중인 주피터노트북과 같은폴더에 그림파일을 옮김\n", " 3. `hani = np.einsum('ijk->jik',np.array(PIL.Image.open('hani.jpeg'),dtype=np.int64)/255)`\n", " 실행 // 그전에 import PIL 을 해야함\n", " 4. 그림파일 삭제\n", "\n", "불러온 이미지는 아래와 같다." ], "id": "ab41ad97-6565-47b9-ab2f-94d6ecbae6b5" }, { "cell_type": "code", "execution_count": 202, "metadata": {}, "outputs": [], "source": [ "hani,hani.shape" ], "id": "cbe8ad2d-1721-4f27-8763-5db53f2017d5" }, { "cell_type": "markdown", "metadata": {}, "source": [ "- 이미지는 4032 $\\times$ 3024 개의 격자(픽셀)로 이루어져 있음\n", "\n", "이미지를 보는 방법은 아래와 같다." ], "id": "84a26208-11bc-4966-b750-9efaf31a44a4" }, { "cell_type": "code", "execution_count": 203, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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OT16AyTIpZwGcG0HcDBPXNh3bbUWZZ9y68zqHh3c4OLpJnmcc3LjNZ9/8IR48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\nPlofrW/h+sjgPlofrW/h+v8DlM753dBUmloAAAAASUVORK5CYII=\n" } } ], "source": [ "plt.imshow(hani) # 모든이미지, 하니매트릭스" ], "id": "041ac8b1-159d-4960-acd6-5962c4a12fc5" }, { "cell_type": "code", "execution_count": 204, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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8T6ZCpn5CmCAE1tqUlkMphTayYarFKm0Gp7rG4e1bdF2Pvh/ggoeP8K5kDT3W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\nn13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FTkSuQmCC\n" } } ], "source": [ "plt.imshow(hani[1000:1500, 1000:2000,:]) # 얼굴만 확대, 하니의 서브매트릭스 " ], "id": "705a4ad2-1ea9-43d2-a899-5e2a96c53dab" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`3`. 하니이미지를 나타내는 어레이를 변형하여 빨간색을 의미하는 칼라만\n", "남겨서 “빨간하니”를 만들고 이미지를 출력하라.\n", "\n", "(풀이)" ], "id": "9822ff8c-24d2-4e22-8c74-088e77324c46" }, { "cell_type": "code", "execution_count": 215, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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r4Rywo/7sZHaJl10NOJ+IMji2iCM6CI8pHCN/VLHWi2vdEeIS6rj6JqkH1L2G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2RdMN\nfNbtA+BwZGDneI5ltbbcPsROcxXN7TnZc6MNkPPpa/AysWXGAPNwj6irb/mevpEugHHni0slX97k\n1zj4ss03OucMFTWSLCHqQQcu1VydpP2ZNqrqjN9OlG2Dt+1N+bullF9s/x8spfxG29L8Z0op+9rx\n/e3/I+38A9bGO9vxj5VSvnWre8J1kTw5z40sgbOaBpYh1qzC+cDuU0itA+rr3S4obLTH2/l71DPp\nj0t6QAFQV19n6ivGWbi4bB+37Rxsa+l7bt+UrJZB1Jn7ulTJLn1ZG263jNp2KTQ6j+3mAPFcSj+/\nrI27LS+pq/Bci/Tn3q4KK327PSr7dvMCyeYSnrHPYPaxZ5yyVkHZqeTlZyMt/4bidceUfyDpR2qt\nr1TQ6Xe3498t6Uw7/iOtnkopr5H0VsW27W+S9I/bxkSbdq6qq4dk/5NwfEEh2c6qExQxFhwqI3UJ\nkLCqFyl6utW9Td11vk/xsod71Hf7ZWmOL7RkuzjPsHDVDnB5nxalqSGZXRJKnXAhYlfZYER+Lc/q\nx69rOh7ZbuM3YHB3voNjpOY6Q3AbKCc601f3pro24hLePaielJ3jnEXTsZe16X3NY5uda3O73tve\nKU/ltgBXSnmJpP9K0j9r/4ukb5b0c63KexRb5Umx1fl72u+fk/Qtrf5bJL231nqt1vppxa5e7GU5\nLK6rQ6iI9rPqe3BI0+3rsl3kA4hUOKgA24r6DsJkwbM57EslvVIx2OfVV4LP1NeB4QVzo5y1VM5B\niQs60XtfsS+zhHaJLvXJzypntetdhXYpwHHZ8WxfcgxVcJFKN4qryY5lZ4tLMdRw1zyylPQdrL3d\nqimImNs8JtBO1hh8fEfz4o4TB+GtzqX8vyX9b+qe89skna210o9H1bctv09tS/Na61op5Vyrf5+k\nX7c2/ZovlVLK90j6HilsK+fIVT3FaFUBOjyB2Evrdo0He33CnBOvqUuqC+33ve0zV0hMnwhec+yE\ngu3DfYn/4blEggKi9fRxoDhXzuDwbwgBdTJLR6lv5ee2Sub2nhJGyRLNHQcOfFdps3MjSz23DzP4\ncsngwpZ06eb2I4xuKV3nzMQlFde6Ten3qJqq7NDQTpQtAVdK+fOSnqy1/nYp5Q07dN+Fpdb6Lknv\nkqRXllKzsU1GA1IIgKHD4zRxtYrBlqZq2VwB4LPt+F0KqUYCNEF1HA7+cnfaBVjYmNz/ejrG+wjo\n48hO4VxWlVwCcH/a9gA2hEwb3g7tj+6bY4R+L1enuD4To6t4/lvWXrYHnfFRRo4Vj5sh/WjXX7Di\n6qq3lbUDX9rDGHDdevqfx2InynYk3J+S9N+UUt6soLljkn5U0olSynKTci9R37acLc0fLaUsK/wN\nz+g5bHX+Senit0sf2/7jvGDK7Yp9i77cypf7c73shluqtW77I+kNkn6x/f5/Jb21/f4nkv56+/12\nSf+k/X6rYqdmKZwlv6fQch5UvOl1aYv7/daz6d8L5bP3XC+sz04+143E4f6WpPeWUv6+pN+V9FPt\n+E9J+pellEcUjr+3NmB/uJTys5I+opDsb6+17pRqvFf2yguilIbgXVlKKb9Va339892PnS57z/XC\nKjv5XDtpD96M8q7nuwM3qew91wur7Nhz7WoJt1f2ypdb2e0Sbq/slS+rsge4vbJXbmHZtYArpbyp\nJTk/Ukp5x/Pdn61KKeXdpZQnSyl/YMdOlVLeX0r5RPs+2Y6XUsqPtWf7UCnldXbN21r9T5RS3vZ8\nPIuXUsr9pZRfLaV8pJTy4VLK32jHX7DPVko5UEr5zVLK77Vn+nvt+E1PyH/eYxwL4h5Lkj6pyBve\np4jfveb57tcWff4mSa+T9Ad27P+S9I72+x2S/kH7/WZJ/16RyPANkn6jHT+liE+eknSy/T75PD/X\nPZJe134flfRxSa95IT9b69uR9ntF0m+0vv6sprHl/6n9/uuaxpZ/pv1+jaax5U9qq9jy802oCwbk\nT0h6n/1/p6R3Pt/92ka/H0iA+5ike4xwP9Z+/6Sk78j1JH2HpJ+045N6u+Ej6RcU73n/sng2RXbf\n70j6ekU2yXKmQcW76P9E+73c6pVMl15v0We3qpRfSoBuZZjo/AIod9Vav9h+P65I15QWP9+ufu6m\nSn2tQiK8oJ+tre/8oOJ1eO9XSKezdRsJ+YpFKrfpOTzTbgXcl12pwQJfsDGYUsoRSf9W0t+stZ73\ncy/EZ6u1rtdav0aR0/t1kr7iVtx3twLuWSc679LyRCnlHklq30+244ueb1c+dyllRQG2f1Vr/Xft\n8JfFs9Vaz0r6VYUKeaIl3EvjhHzdaEL+bgXcByQ91LxG+xSG6sPPc5+eS3lYEt64tynsH45/Z/Po\nfYOkc009e5+kN5ZSTjav3xvbseettMXDPyXpo7XWH7ZTL9hnK6XcUUo50X4fVNikH1UA7y+2avmZ\neNa/KOlXmlR/WNJbmxfzQUkPSfrNTW/+fButmxizb1Z4xD4p6e883/3ZRn//jaQvKpZuParYauI2\nSb8s6ROS/pOkU61ukfTj7dl+X9LrrZ2/qlgN/4ik79oFz/WNCnXxQ5I+2D5vfiE/m6SvUiTcf0jS\nH0j6P9rxlzfAPKJYDbO/HT/Q/j/Szr/c2vo77Vk/Junbtrr3XmrXXtkrt7DsVpVyr+yVL8uyB7i9\nslduYdkD3F7ZK7ew7AFur+yVW1j2ALdX9sotLHuA2yt75RaWPcDtlb1yC8v/Dx49FfKdjIBbAAAA\nAElFTkSuQmCC\n" } } ], "source": [ "red_hani = hani*0 \n", "red_hani[:,:,0] = hani[:,:,0]\n", "plt.imshow(red_hani)" ], "id": "0b9322a1-7370-4f36-a353-b761bbf508b5" }, { "cell_type": "markdown", "metadata": {}, "source": [ "`4`. 하니의 모든 값에 루트를 취하여 “루트하니”를 만들고 “원본하니”와\n", "“루트하니”를 좌우로 나란히 배치하여 출력하라.\n", "\n", "(풀이)" ], "id": "66e82abe-a0d7-4c92-a799-b30cd4785e0c" }, { "cell_type": "code", "execution_count": 224, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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hJK6uG6RSuOhM7K43+K1SK4SE0TRsjnIBaSYJQQmiKyLnpEclmjRPSScTLspz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utgRg/nOGHXjxO2ux323YDVaoVf+qVfxMcff4r3P/gQjx8/wfsffoJ333s351fmE9lJ0VFMbJys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OWDB92vBsKwe251MaldGYGH8s7AEDpdiNJ38uDeeL96387Rzx6quq4oEcnvR17NuLBD8OuRJw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\nIJcUO+JiXhlsC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} } ], "source": [ "root_hani = np.sqrt(hani)\n", "plt.imshow(np.concatenate([hani,root_hani],axis=1))" ], "id": "912255c8-73d2-43f1-bf38-765b220f82e4" }, { "cell_type": "markdown", "metadata": {}, "source": [ "“루트하니”의 이미지는 “원본하니”의 이미지와 비교하여 어떤가? 왜 그러한\n", "결과가 나왔다고 생각하는가?\n", "\n", "`5`. 하니의 모든값에 아래와 같은 함수를 적용하라.\n", "\n", "- $f(x)=\\begin{cases} \\sqrt{x} & x>0.7 \\\\ x & x \\leq 0.7 \\end{cases}$\n", "\n", "함수의 결과로 얻어진 매트릭스를 “후광하니”라고 부르자. “원본하니”와\n", "“후광하니”를 좌우로 나란히 배치하여 출력하라." ], "id": "60e10f6d-1b9b-479b-923f-6aeaef8eada1" }, { "cell_type": "code", "execution_count": 235, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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d+e21WkVNtr/1xeac5cGdB5R5QTSJqZ0hGwzI8xxrq+CbLBrNQwqSoUIpiV2a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\nAABJRU5ErkJggg==\n" } } ], "source": [ "shiny_hani = np.sqrt(hani)*(hani>0.7)+hani*(hani<=0.7)\n", "plt.imshow(np.concatenate([hani,shiny_hani],axis=1))" ], "id": "347ce289-941d-48eb-9cc3-1abb651a1f73" }, { "cell_type": "markdown", "metadata": {}, "source": [ "# HW\n", "\n", "없음" ], "id": "f2cac7fc-ca2d-44c0-9beb-4ccd0d6384b5" } ], "nbformat": 4, "nbformat_minor": 5, "metadata": { "kernelspec": { "name": "python3", "display_name": "Python 3 (ipykernel)", "language": "python" }, "language_info": { "name": "python", "codemirror_mode": { "name": "ipython", "version": "3" }, "file_extension": ".py", "mimetype": "text/x-python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.12" } } }