05_識別その1_基礎的事項.nextjournal.ipynb

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\u57fa\u672c\u7684\u4e8b\u9805\n\n\u3044\u3064\u3082\u306e\u3088\u3046\u306b\u53f3\u4e0a\u306e\u300cRemix\u300d\u30dc\u30bf\u30f3\u3092\u62bc\u3057\u3066\u81ea\u5206\u7528\u306e\u8907\u88fd\u3092\u4f5c\u6210\u3059\u308c\u3070\u3001\u5404\u30bb\u30eb\u3092\u300cShift+Enter\u300d\u3067\u5b9f\u884c\u3057\u306a\u304c\u3089\u8aad\u3080\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\u9014\u4e2d\u307e\u3067\u5b9f\u884c\u3057\u305f\u3089Windows\u3067\u306f\u300cCtrl+s\u300d\u3001Mac\u3067\u306f\u300cCmd+s\u300d\u3067\u4fdd\u5b58\u3059\u308b\u3053\u3068\u304c\u3067\u304d\u307e\u3059\u3002\n\n\u5fc5\u8981\u306a\u30d1\u30c3\u30b1\u30fc\u30b8\u3092\u8aad\u307f\u8fbc\u307f\u307e\u3059"]},{"cell_type":"code","metadata":{"nextjournal":{"id":"36dfee67-53b4-4848-9af6-8e89d94683f6","kind":"code","language":"julia"}},"source":["using Plots, CSV, Statistics, LinearAlgebra"],"outputs":[],"execution_count":1},{"cell_type":"markdown","metadata":{},"source":["# \u7dda\u5f62\u8b58\u5225: 2\u30af\u30e9\u30b9"]},{"cell_type":"code","metadata":{"nextjournal":{"id":"22e3bd19-49a9-4938-ac90-b83c01736585","kind":"code","language":"julia"}},"source":["# \u30c7\u30fc\u30bf\u3092\u4f5c\u308b\nN = 50\ny_class1 = ones(Float64, Int(N\/2))\nx_class1 = randn(Float64, Int(N\/2), 2) .- 1.0 #randn\u306f\u6a19\u6e96\u6b63\u898f\u5206\u5e03\u304b\u3089\u30b5\u30f3\u30d7\u30eb\u3059\u308b\u95a2\u6570\ncolor_class1 = fill(:blue, Int(N\/2))\ny_class2 = - ones(Float64, Int(N\/2))\nx_class2 = randn(Float64, Int(N\/2), 2) .+ 1.0\ncolor_class2 = fill(:green, Int(N\/2))\n\ny = [y_class1; y_class2]\nx = [x_class1; x_class2]\nc = [color_class1; color_class2]\n\nscatter(x[:, 1], x[:, 2], \n        xlims=(-5,5), ylims=(-5,5), \n        xlabel=\"x1\", ylabel=\"x2\", \n        markersize=8, markercolor=c, \n        legend=:topright)"],"outputs":[{"output_type":"execute_result","data":{"image\/svg+xml":"<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" 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w\nend"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"solve_linear_classifier"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"8ebd786e-b1e8-471b-ad54-4ef136cc4656","kind":"code","language":"julia"}},"source":["X = ones(N, 3)\nX[:, 2:3] = x[:, 1:2]\nW = solve_linear_classifier(X, y)"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"3-element Array{Float64,1}:\n  0.0626001\n -0.305074\n -0.381479"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"markdown","metadata":{},"source":[""]},{"cell_type":"code","metadata":{"nextjournal":{"id":"0ca7db29-5d83-4293-bb8d-a5b1e050ef22","kind":"code","language":"julia"}},"source":["f(x1, x2) = ([1.0 x1 x2]*W)[1]\nx1 = x2 = range(-5, 5, length = 100)\ncontourf(x1, x2, f, levels=[-0.01, 0.0, 0.01])\n\nscatter!(x[:, 1], x[:, 2], \n         xlabel=\"x1\", ylabel=\"x2\", \n         markersize=8, markercolor=c, 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2232.76,948.17 \n  2232.76,747.758 2256.76,747.758 2232.76,747.758 2232.76,547.346 2256.76,547.346 2232.76,547.346 2232.76,346.934 2256.76,346.934 2232.76,346.934 2232.76,146.522 \n  2256.76,146.522 2232.76,146.522 2232.76,47.2441 \n  \"\/>\n<\/svg>\n"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"markdown","metadata":{},"source":["# \u7dda\u5f62\u8b58\u5225: \u7570\u5e38\u5024\u306e\u5f71\u97ff"]},{"cell_type":"code","metadata":{"nextjournal":{"id":"0db2f81a-9796-4312-a623-4e11a9b03037","kind":"code","language":"julia"}},"source":["# \u30c7\u30fc\u30bf\u3092\u4f5c\u308b\nN = 60\n\ny_class1 = ones(Float64, Int(N\/3))\nx_class1 = randn(Float64, Int(N\/3), 2) .- 1.0\ncolor_class1 = fill(:blue, Int(N\/3))\n\ny_class2 = - ones(Float64, Int(N\/3))\nx_class2 = randn(Float64, Int(N\/3), 2) .+ 1.0\ncolor_class2 = fill(:green, Int(N\/3))\n\ny_class2_outlier = - ones(Float64, Int(N\/3))\nx_class2_outlier = randn(Float64, Int(N\/3), 2) .+ [5.0 10.0]\ncolor_class2_outlier = fill(:green, Int(N\/3))\n\ny = [y_class1; y_class2; y_class2_outlier]\nx = [x_class1; x_class2; x_class2_outlier]\nc = [color_class1; color_class2; color_class2_outlier]\n\nscatter(x[:, 1], x[:, 2], xlims=(-4,13), ylims=(-4,13), xlabel=\"x1\", ylabel=\"x2\", markersize=8, markercolor=c, legend=false)"],"outputs":[{"output_type":"execute_result","data":{"image\/svg+xml":"<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip240\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"\/>\n  <\/clipPath>\n<\/defs>\n<path clip-path=\"url(#clip240)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"\/>\n<defs>\n  <clipPath id=\"clip241\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"\/>\n  <\/clipPath>\n<\/defs>\n<path clip-path=\"url(#clip240)\" 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Int(N\/3))\n\ny_class2 = zeros(Float64, Int(N\/3), 3)\ny_class2[:, 2] .= 1.0\nx_class2 = randn(Float64, Int(N\/3), 2) .+ 1.0\ncolor_class2 = fill(:green, Int(N\/3))\n\ny_class3 = zeros(Float64, Int(N\/3), 3)\ny_class3[:, 3] .= 1.0\nx_class3 = randn(Float64, Int(N\/3), 2) .+ 3.0\ncolor_class3 = fill(:red, Int(N\/3))\n\ny = [y_class1; y_class2; y_class3]\nx = [x_class1; x_class2; x_class3]\nc = [color_class1; color_class2; color_class3]\n\nscatter(x[:, 1], x[:, 2], xlims=(-5,6), ylims=(-5,6), xlabel=\"x1\", ylabel=\"x2\", markersize=8, markercolor=c, legend=false)"],"outputs":[{"output_type":"execute_result","data":{"image\/svg+xml":"<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip320\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"\/>\n  <\/clipPath>\n<\/defs>\n<path clip-path=\"url(#clip320)\" 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221.799 Q2352.78 227.378 2349.31 230.48 Q2345.84 233.559 2339.52 233.559 Q2337.34 233.559 2335.07 233.188 Q2332.83 232.818 2330.42 232.077 L2330.42 227.378 Q2332.51 228.512 2334.73 229.068 Q2336.95 229.623 2339.43 229.623 Q2343.43 229.623 2345.77 227.517 Q2348.11 225.41 2348.11 221.799 Q2348.11 218.188 2345.77 216.082 Q2343.43 213.975 2339.43 213.975 Q2337.55 213.975 2335.68 214.392 Q2333.83 214.809 2331.88 215.688 L2331.88 198.327 Z\" fill=\"#000000\" fill-rule=\"evenodd\" fill-opacity=\"1\" \/><path clip-path=\"url(#clip360)\" d=\"M 0 0 M2284.38 42.2611 Q2287.74 42.9787 2289.61 45.2472 Q2291.51 47.5157 2291.51 50.8491 Q2291.51 55.9648 2287.99 58.7657 Q2284.47 61.5666 2277.99 61.5666 Q2275.82 61.5666 2273.5 61.1268 Q2271.21 60.7101 2268.76 59.8536 L2268.76 55.3398 Q2270.7 56.474 2273.02 57.0527 Q2275.33 57.6314 2277.85 57.6314 Q2282.25 57.6314 2284.54 55.8953 Q2286.86 54.1592 2286.86 50.8491 Q2286.86 47.7935 2284.7 46.0806 Q2282.58 44.3445 2278.76 44.3445 L2274.73 44.3445 L2274.73 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\u30d5\u30a3\u30c3\u30b7\u30e3\u30fc\u306e\u30a2\u30e4\u30e1\n\n\u7b2c2\u56de\u3067\u7d39\u4ecb\u3057\u305f\u30d5\u30a3\u30c3\u30b7\u30e3\u30fc\u306e\u30a2\u30e4\u30e1\u3092\u4f8b\u306b\u7dda\u5f62\u8b58\u5225\u3092\u3084\u3063\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u8aac\u660e\u5909\u6570\u304c4\u3064\u3042\u308a\u307e\u3059\u304c\u3001\u53ef\u8996\u5316\u3067\u304d\u308b\u3088\u3046\u306b1\u756a\u76ee\u30682\u756a\u76ee\u3092\u9078\u3093\u3067\u4e0a\u3068\u540c\u69d8\u306e\u89e3\u6790\u3092\u3057\u3066\u307f\u307e\u3057\u3087\u3046\u3002\u4ed6\u306e\u76ee\u7684\u5909\u6570\u30922\u3064\u9078\u3093\u3067\u3069\u3046\u306a\u308b\u304b\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\n\n\u30c7\u30fc\u30bf\u306e\u8aac\u660e\u306f\u4ee5\u4e0b\u3067\u3059\n\n![iris.png](https:\/\/nextjournal.com\/data\/QmcsTUT7gawLt7FGkvJhLYSug8S6Zi8t4DcfkchqF3dzR9?content-type=image\/png&node-id=5cb35885-5a1c-48c6-a0bc-47437a655769&filename=iris.png&node-kind=file)\n\n\u30a2\u30e4\u30e1\u306e\u500b\u4f53150\u30b5\u30f3\u30d7\u30eb\u306b\u3064\u3044\u3066\u3001\u4ee5\u4e0b\u306e4\u3064\u306e\u7279\u5fb4\u91cf\u3092\u8a08\u6e2c\u3057\u3066\u3001\u305d\u306e\u7a2e(3\u7a2e, setosa, versicolor, virginica)\u304c\u30e9\u30d9\u30eb\u4ed8\u3051\u3055\u308c\u3066\u3044\u307e\u3059\u3002\u7279\u5fb4\u91cf\u3068\u7a2e\u306e\u95a2\u4fc2\u3092\u30c7\u30fc\u30bf\u304b\u3089\u5b66\u7fd2\u3067\u304d\u308b\u304b\uff1f\u3068\u3044\u3046\u554f\u984c\u306b\u7528\u3044\u3089\u308c\u307e\u3059\u3002\u4f8b\u3048\u3070\u3001\u30e9\u30d9\u30eb\u3092\u4f7f\u3063\u3066\u6559\u5e2b\u3042\u308a\u5b66\u7fd2\u3092\u884c\u3063\u3066\u7a2e\u3092\u5206\u3051\u308b\u5883\u754c\u3092\u63a2\u308b\u554f\u984c\u3084\u3001\u6562\u3048\u3066\u30e9\u30d9\u30eb\u3092\u7528\u3044\u305a\u306b\u30af\u30e9\u30b9\u30bf\u30ea\u30f3\u30b0\u3092\u884c\u3063\u3066\u305d\u306e\u6027\u80fd\u3092\u691c\u8a3c\u3059\u308b\u554f\u984c\u3067\u3059\u3002\u305d\u3046\u3057\u305f\u6a5f\u68b0\u5b66\u7fd2\u306e\u624b\u6cd5\u3092\u8a55\u4fa1\u691c\u8a3c\u3059\u308b\u7528\u9014\u3067\u7528\u3044\u3089\u308c\u308b\u3053\u3068\u304c\u591a\u3044\u3067\u3059\u3002\n\n* SepalLength \u30ac\u30af\u306e\u9577\u3055 (cm\u5358\u4f4d\u3001\u8aac\u660e\u5909\u6570)\n* SepalWidth \u30ac\u30af\u306e\u592a\u3055 (cm\u5358\u4f4d\u3001\u8aac\u660e\u5909\u6570)\n* PetalLength \u82b1\u5f01\u306e\u9577\u3055 (cm\u5358\u4f4d\u3001\u8aac\u660e\u5909\u6570)\n* PetalWidth \u82b1\u5f01\u306e\u592a\u3055 (cm\u5358\u4f4d\u3001\u8aac\u660e\u5909\u6570)\n* Species \u7a2e\u985e (setosa, versicolor, virginica\u3001\u30e9\u30d9\u30eb\u30fb\u76ee\u7684\u5909\u6570)\n\n[iris.csv](https:\/\/nextjournal.com\/data\/QmP6fvLv5D5ozPEcbK1vxmbBua2cVZGs7paMudgjhJox5U?content-type=text\/csv&node-id=b121356f-73a0-442f-9c5e-c206ebbdea44&filename=iris.csv&node-kind=file)\n"]},{"cell_type":"code","metadata":{"nextjournal":{"id":"a559429c-c3e8-4418-9c24-ffbb818b437f","kind":"code","language":"julia"}},"source":["# CSV\u30c7\u30fc\u30bf\u306e\u8aad\u307f\u8fbc\u307f\niris = CSV.read(","\"\/.nextjournal\/data-named\/QmP6fvLv5D5ozPEcbK1vxmbBua2cVZGs7paMudgjhJox5U\/iris.csv\"",")"],"outputs":[{"output_type":"execute_result","data":{"text\/csv":"Id,SepalLength,SepalWidth,PetalLength,PetalWidth,Species\n1,5.1,3.5,1.4,0.2,setosa\n2,4.9,3.0,1.4,0.2,setosa\n3,4.7,3.2,1.3,0.2,setosa\n4,4.6,3.1,1.5,0.2,setosa\n5,5.0,3.6,1.4,0.2,setosa\n6,5.4,3.9,1.7,0.4,setosa\n7,4.6,3.4,1.4,0.3,setosa\n8,5.0,3.4,1.5,0.2,setosa\n9,4.4,2.9,1.4,0.2,setosa\n10,4.9,3.1,1.5,0.1,setosa\n11,5.4,3.7,1.5,0.2,setosa\n12,4.8,3.4,1.6,0.2,setosa\n13,4.8,3.0,1.4,0.1,setosa\n14,4.3,3.0,1.1,0.1,setosa\n15,5.8,4.0,1.2,0.2,setosa\n16,5.7,4.4,1.5,0.4,setosa\n17,5.4,3.9,1.3,0.4,setosa\n18,5.1,3.5,1.4,0.3,setosa\n19,5.7,3.8,1.7,0.3,setosa\n20,5.1,3.8,1.5,0.3,setosa\n21,5.4,3.4,1.7,0.2,setosa\n22,5.1,3.7,1.5,0.4,setosa\n23,4.6,3.6,1.0,0.2,setosa\n24,5.1,3.3,1.7,0.5,setosa\n25,4.8,3.4,1.9,0.2,setosa\n26,5.0,3.0,1.6,0.2,setosa\n27,5.0,3.4,1.6,0.4,setosa\n28,5.2,3.5,1.5,0.2,setosa\n29,5.2,3.4,1.4,0.2,setosa\n30,4.7,3.2,1.6,0.2,setosa\n31,4.8,3.1,1.6,0.2,setosa\n32,5.4,3.4,1.5,0.4,setosa\n33,5.2,4.1,1.5,0.1,setosa\n34,5.5,4.2,1.4,0.2,setosa\n35,4.9,3.1,1.5,0.1,setosa\n36,5.0,3.2,1.2,0.2,setosa\n37,5.5,3.5,1.3,0.2,setosa\n38,4.9,3.1,1.5,0.1,setosa\n39,4.4,3.0,1.3,0.2,setosa\n40,5.1,3.4,1.5,0.2,setosa\n41,5.0,3.5,1.3,0.3,setosa\n42,4.5,2.3,1.3,0.3,setosa\n43,4.4,3.2,1.3,0.2,setosa\n44,5.0,3.5,1.6,0.6,setosa\n45,5.1,3.8,1.9,0.4,setosa\n46,4.8,3.0,1.4,0.3,setosa\n47,5.1,3.8,1.6,0.2,setosa\n48,4.6,3.2,1.4,0.2,setosa\n49,5.3,3.7,1.5,0.2,setosa\n50,5.0,3.3,1.4,0.2,setosa\n51,7.0,3.2,4.7,1.4,versicolor\n52,6.4,3.2,4.5,1.5,versicolor\n53,6.9,3.1,4.9,1.5,versicolor\n54,5.5,2.3,4.0,1.3,versicolor\n55,6.5,2.8,4.6,1.5,versicolor\n56,5.7,2.8,4.5,1.3,versicolor\n57,6.3,3.3,4.7,1.6,versicolor\n58,4.9,2.4,3.3,1.0,versicolor\n59,6.6,2.9,4.6,1.3,versicolor\n60,5.2,2.7,3.9,1.4,versicolor\n61,5.0,2.0,3.5,1.0,versicolor\n62,5.9,3.0,4.2,1.5,versicolor\n63,6.0,2.2,4.0,1.0,versicolor\n64,6.1,2.9,4.7,1.4,versicolor\n65,5.6,2.9,3.6,1.3,versicolor\n66,6.7,3.1,4.4,1.4,versicolor\n67,5.6,3.0,4.5,1.5,versicolor\n68,5.8,2.7,4.1,1.0,versicolor\n69,6.2,2.2,4.5,1.5,versicolor\n70,5.6,2.5,3.9,1.1,versicolor\n71,5.9,3.2,4.8,1.8,versicolor\n72,6.1,2.8,4.0,1.3,versicolor\n73,6.3,2.5,4.9,1.5,versicolor\n74,6.1,2.8,4.7,1.2,versicolor\n75,6.4,2.9,4.3,1.3,versicolor\n76,6.6,3.0,4.4,1.4,versicolor\n77,6.8,2.8,4.8,1.4,versicolor\n78,6.7,3.0,5.0,1.7,versicolor\n79,6.0,2.9,4.5,1.5,versicolor\n80,5.7,2.6,3.5,1.0,versicolor\n81,5.5,2.4,3.8,1.1,versicolor\n82,5.5,2.4,3.7,1.0,versicolor\n83,5.8,2.7,3.9,1.2,versicolor\n84,6.0,2.7,5.1,1.6,versicolor\n85,5.4,3.0,4.5,1.5,versicolor\n86,6.0,3.4,4.5,1.6,versicolor\n87,6.7,3.1,4.7,1.5,versicolor\n88,6.3,2.3,4.4,1.3,versicolor\n89,5.6,3.0,4.1,1.3,versicolor\n90,5.5,2.5,4.0,1.3,versicolor\n91,5.5,2.6,4.4,1.2,versicolor\n92,6.1,3.0,4.6,1.4,versicolor\n93,5.8,2.6,4.0,1.2,versicolor\n94,5.0,2.3,3.3,1.0,versicolor\n95,5.6,2.7,4.2,1.3,versicolor\n96,5.7,3.0,4.2,1.2,versicolor\n97,5.7,2.9,4.2,1.3,versicolor\n98,6.2,2.9,4.3,1.3,versicolor\n99,5.1,2.5,3.0,1.1,versicolor\n100,5.7,2.8,4.1,1.3,versicolor\n101,6.3,3.3,6.0,2.5,virginica\n102,5.8,2.7,5.1,1.9,virginica\n103,7.1,3.0,5.9,2.1,virginica\n104,6.3,2.9,5.6,1.8,virginica\n105,6.5,3.0,5.8,2.2,virginica\n106,7.6,3.0,6.6,2.1,virginica\n107,4.9,2.5,4.5,1.7,virginica\n108,7.3,2.9,6.3,1.8,virginica\n109,6.7,2.5,5.8,1.8,virginica\n110,7.2,3.6,6.1,2.5,virginica\n111,6.5,3.2,5.1,2.0,virginica\n112,6.4,2.7,5.3,1.9,virginica\n113,6.8,3.0,5.5,2.1,virginica\n114,5.7,2.5,5.0,2.0,virginica\n115,5.8,2.8,5.1,2.4,virginica\n116,6.4,3.2,5.3,2.3,virginica\n117,6.5,3.0,5.5,1.8,virginica\n118,7.7,3.8,6.7,2.2,virginica\n119,7.7,2.6,6.9,2.3,virginica\n120,6.0,2.2,5.0,1.5,virginica\n121,6.9,3.2,5.7,2.3,virginica\n122,5.6,2.8,4.9,2.0,virginica\n123,7.7,2.8,6.7,2.0,virginica\n124,6.3,2.7,4.9,1.8,virginica\n125,6.7,3.3,5.7,2.1,virginica\n126,7.2,3.2,6.0,1.8,virginica\n127,6.2,2.8,4.8,1.8,virginica\n128,6.1,3.0,4.9,1.8,virginica\n129,6.4,2.8,5.6,2.1,virginica\n130,7.2,3.0,5.8,1.6,virginica\n131,7.4,2.8,6.1,1.9,virginica\n132,7.9,3.8,6.4,2.0,virginica\n133,6.4,2.8,5.6,2.2,virginica\n134,6.3,2.8,5.1,1.5,virginica\n135,6.1,2.6,5.6,1.4,virginica\n136,7.7,3.0,6.1,2.3,virginica\n137,6.3,3.4,5.6,2.4,virginica\n138,6.4,3.1,5.5,1.8,virginica\n139,6.0,3.0,4.8,1.8,virginica\n140,6.9,3.1,5.4,2.1,virginica\n141,6.7,3.1,5.6,2.4,virginica\n142,6.9,3.1,5.1,2.3,virginica\n143,5.8,2.7,5.1,1.9,virginica\n144,6.8,3.2,5.9,2.3,virginica\n145,6.7,3.3,5.7,2.5,virginica\n146,6.7,3.0,5.2,2.3,virginica\n147,6.3,2.5,5.0,1.9,virginica\n148,6.5,3.0,5.2,2.0,virginica\n149,6.2,3.4,5.4,2.3,virginica\n150,5.9,3.0,5.1,1.8,virginica\n"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"aaa0fd1c-1339-43be-84e1-3e4855a3d6c5","kind":"code","language":"julia"}},"source":["N = size(iris, 1)\n\ny = zeros(Float64, N, 3)\nc = fill(:blue, N)\nfor n = 1:N\n  if iris.Species[n] == \"setosa\"\n    y[n, 1] = 1.0\n    c[n] = :blue\n  elseif iris.Species[n] == \"versicolor\"\n    y[n, 2] = 1.0\n    c[n] = :green\n  else\n    y[n, 3] = 1.0\n    c[n] = :red\n  end\nend\n\nx = Array(iris[:, 2:5])\n\nscatter(x[:, 1], x[:, 2], xlabel=\"SetalLength (cm)\", ylabel=\"SetalWidth (cm)\", markersize=8, markercolor=c, legend=false)"],"outputs":[{"output_type":"execute_result","data":{"image\/svg+xml":"<?xml version=\"1.0\" encoding=\"utf-8\"?>\n<svg xmlns=\"http:\/\/www.w3.org\/2000\/svg\" xmlns:xlink=\"http:\/\/www.w3.org\/1999\/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 2400 1600\">\n<defs>\n  <clipPath id=\"clip400\">\n    <rect x=\"0\" y=\"0\" width=\"2400\" height=\"1600\"\/>\n  <\/clipPath>\n<\/defs>\n<path clip-path=\"url(#clip400)\" d=\"\nM0 1600 L2400 1600 L2400 0 L0 0  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"\/>\n<defs>\n  <clipPath id=\"clip401\">\n    <rect x=\"480\" y=\"0\" width=\"1681\" height=\"1600\"\/>\n  <\/clipPath>\n<\/defs>\n<path clip-path=\"url(#clip400)\" d=\"\nM212.413 1423.18 L2352.76 1423.18 L2352.76 47.2441 L212.413 47.2441  Z\n  \" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"\/>\n<defs>\n  <clipPath id=\"clip402\">\n    <rect x=\"212\" y=\"47\" width=\"2141\" height=\"1377\"\/>\n  <\/clipPath>\n<\/defs>\n<polyline clip-path=\"url(#clip402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  665.609,1423.18 665.609,47.2441 \n  \"\/>\n<polyline clip-path=\"url(#clip402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1226.5,1423.18 1226.5,47.2441 \n  \"\/>\n<polyline clip-path=\"url(#clip402)\" style=\"stroke:#000000; stroke-width:2; stroke-opacity:0.1; fill:none\" points=\"\n  1787.38,1423.18 1787.38,47.2441 \n  \"\/>\n<polyline clip-path=\"url(#clip402)\" style=\"stroke:#000000; stroke-width:2; 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stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1450.85\" cy=\"951.554\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1899.56\" cy=\"843.383\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"2011.74\" cy=\"951.554\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"2292.18\" cy=\"410.699\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1450.85\" cy=\"951.554\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1394.76\" cy=\"951.554\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1282.58\" cy=\"1059.73\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"2180\" cy=\"843.383\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1394.76\" cy=\"627.041\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1450.85\" cy=\"789.297\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1226.5\" cy=\"843.383\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1731.29\" cy=\"789.297\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1619.12\" cy=\"789.297\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1731.29\" cy=\"789.297\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1114.32\" cy=\"1005.64\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1675.2\" cy=\"735.212\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1619.12\" cy=\"681.126\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1619.12\" cy=\"843.383\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1394.76\" cy=\"1113.81\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1506.94\" cy=\"843.383\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1338.67\" cy=\"627.041\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<circle clip-path=\"url(#clip402)\" cx=\"1170.41\" cy=\"843.383\" r=\"28\" fill=\"#ff0000\" fill-rule=\"evenodd\" fill-opacity=\"1\" stroke=\"#000000\" stroke-opacity=\"1\" stroke-width=\"3.2\"\/>\n<\/svg>\n"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"e340f56a-3af9-467b-a2c2-5182f1cc8963","kind":"code","language":"julia"}},"source":["# \u7dda\u5f62\u8b58\u5225\u306e\u8a08\u7b97\nX = ones(N, 3)\nX[:, 2:3] = x[:, 1:2]\nW = solve_linear_classifier(X, y)"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"3\u00d73 Array{Float64,2}:\n  0.793093   1.7744     -1.56749\n -0.377084   0.0165175   0.360567\n  0.570946  -0.503465   -0.0674812"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"475a0225-0735-4648-b9f4-a5a00d5b9733","kind":"code","language":"julia"}},"source":["# \u8b58\u5225\u7d50\u679c\u306e\u30d7\u30ed\u30c3\u30c8\nf(x1, x2) = argmax(([1.0 x1 x2]*W))[2]\nx1 = range(4, 8, length = 100)\nx2 = range(1, 6, length = 100)\ncontourf(x1, x2, f)\n\nscatter!(x[:, 1], x[:, 2], xlabel=\"SetalLength (cm)\", ylabel=\"SetalWidth (cm)\", markersize=8, markercolor=c, legend=false)"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"1.0:0.050505050505050504:6.0"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"44a4d03b-f75e-42ba-8780-2e760d720f00","kind":"code","language":"julia"}},"source":["# \u4ed6\u306e\u8aac\u660e\u5909\u65702\u3064\u3092\u9078\u3093\u3067\u3069\u3046\u306a\u308b\u304b\u898b\u3066\u307f\u307e\u3057\u3087\u3046\u3002\nX = ones(N, 3)\nX[:, 2:3] = x[:, 3:4]\nW = solve_linear_classifier(X, y)"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"3\u00d73 Array{Float64,2}:\n  1.26554     -0.105028  -0.160516\n -0.250219     0.321318  -0.0710982\n  0.00690815  -0.64185    0.634942"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"2902fd83-2d3d-42ac-b378-286da3c4e8d0","kind":"code","language":"julia"}},"source":["f(x1, x2) = argmax(([1.0 x1 x2]*W))[2]\nx1 = range(0, 8, length = 100)\nx2 = range(0, 3, length = 100)\ncontourf(x1, x2, f)\n\nscatter!(x[:, 3], x[:, 4], xlabel=\"PetalLength (cm)\", ylabel=\"PetalWidth (cm)\", markersize=8, markercolor=c, legend=false)"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"0.0:0.030303030303030304:3.0"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"80218707-4910-44da-8fb4-3ec00540caa7","kind":"code","language":"julia"}},"source":[],"outputs":[],"execution_count":1},{"cell_type":"markdown","metadata":{},"source":[""]}]}