11_ニューラルネットワーク_基礎的事項.nextjournal.ipynb

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\u30de\u30eb\u30c1\u30d1\u30fc\u30bb\u30d7\u30c8\u30ed\u30f3 (y=x^3\u306e\u56de\u5e30)"]},{"cell_type":"code","metadata":{"nextjournal":{"id":"2b62fed0-75c1-4f1d-81ab-fd022e6a61f0","kind":"code","language":"julia"}},"source":["using Flux\nusing Flux: Data.DataLoader\nusing Flux: onehotbatch, onecold, crossentropy\nusing Flux: @epochs\nusing Plots\nusing Statistics"],"outputs":[],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"d2021d7b-e59c-44cb-82f3-97e5b82152f1","kind":"code","language":"julia"}},"source":["# \u30c7\u30fc\u30bf\u306e\u4f5c\u6210\nN = 100\nX = 2.0.*(rand(N).-0.5)\nY = X.^3 .+ 0.01 .* randn(N)\n#Y = sin.( 2 .* pi .* X) .+ 0.01 .* randn(N)\nscatter(X, Y, legend=:topleft)\nxlabel!(\"X\"); ylabel!(\"Y\")"],"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\" 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zeros(Float32, 1, N)\ny_train = zeros(Float32, 1, N)\nfor n = 1:N\n  x_train[1, n] = X[n]\n  y_train[1, n] = Y[n]\nend\ntrain_data = DataLoader((x_train, y_train), batchsize=N)"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"DataLoader{Tuple{Array{Float32,2},Array{Float32,2}}}((Float32[-0.748494 0.0601464 \u2026 0.463441 -0.352295], Float32[-0.436799 -0.0142495 \u2026 0.0992427 -0.0277756]), 100, 100, true, 100, [1, 2, 3, 4, 5, 6, 7, 8, 9, 10  \u2026  91, 92, 93, 94, 95, 96, 97, 98, 99, 100], false)"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"5a46e80d-b942-4eae-b1c1-40bbd3ed1d38","kind":"code","language":"julia"}},"source":["# Define model\nmodel = Chain(Dense(1,10,relu),\n              Dense(10,10,relu),\n              Dense(10,10,relu),\n              Dense(10,1))"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"Chain(Dense(1, 10, relu), Dense(10, 10, relu), Dense(10, 10, relu), Dense(10, 1))"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"ac651040-83b8-42aa-ba6c-a344bfbc9d9f","kind":"code","language":"julia"}},"source":["# Define loss function and optimizer\nloss(x, y) = Flux.mse(model(x), y)\nopt = ADAM()\nps = Flux.params(model)"],"outputs":[{"output_type":"execute_result","data":{"text\/plain":"Params([Float32[-0.0653035; -0.441464; \u2026 ; 0.486076; -0.464077], Float32[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], Float32[0.175346 0.103586 \u2026 -0.348263 0.187664; 0.402826 0.120195 \u2026 -0.0581996 0.130141; \u2026 ; -0.0465284 -0.405056 \u2026 -0.455252 0.104886; -0.361681 -0.415974 \u2026 0.388388 0.18547], Float32[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], Float32[0.439566 0.547445 \u2026 -0.174674 -0.18245; 0.18167 -0.185708 \u2026 0.225353 0.350572; \u2026 ; -0.112308 -0.423202 \u2026 0.125027 -0.342553; 0.182492 -0.451702 \u2026 -0.539697 0.256097], Float32[0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0], Float32[-0.662192 -0.578542 \u2026 -0.596768 -0.575316], Float32[0.0]])"},"execution_count":1,"metadata":{}}],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"a68b8bc4-292e-4178-a9f9-005b82ac15b6","kind":"code","language":"julia"}},"source":["# train the model\n@epochs 3000 Flux.train!(loss, ps, train_data, opt)"],"outputs":[],"execution_count":1},{"cell_type":"code","metadata":{"nextjournal":{"id":"9b3f3120-5953-4677-b137-a9912a11b1bc","kind":"code","language":"julia"}},"source":["scatter(X, Y)\nx = sort(x_train, dims=2)\nplot!(x[:], model(x)[:], linewidth=2, legend=:topleft)\nxlabel!(\"X\"); ylabel!(\"Y\")"],"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=\"clip740\">\n    <rect 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