{"id":2110,"date":"2020-01-02T22:51:07","date_gmt":"2020-01-02T13:51:07","guid":{"rendered":"http:\/\/141.164.34.82\/?p=2110"},"modified":"2020-01-04T08:11:12","modified_gmt":"2020-01-03T23:11:12","slug":"ann-%ed%8f%89%ea%b7%a0%ea%b3%bc-%ed%91%9c%ec%a4%80%ed%8e%b8%ec%b0%a8-%ec%b6%9c%eb%a0%a5-%eb%aa%a8%ed%98%95","status":"publish","type":"post","link":"http:\/\/ds.sumeun.org\/?p=2110","title":{"rendered":"ANN: \ud3c9\uade0\uacfc \ud45c\uc900\ud3b8\ucc28 \ucd9c\ub825 \ubaa8\ud615"},"content":{"rendered":"<h2>keras\uc640 \uc778\uacf5\uc2e0\uacbd\ub9dd(ANN; <strong>A<\/strong>rtificial <strong>N<\/strong>eural <strong>N<\/strong>etwork)<\/h2>\n<p>\uc778\uacf5\uc2e0\uacbd\ub9dd\uc774 \ub300\ub2e8\ud574 \ubcf4\uc77c\uc9c0\ub77c\ub3c4, \uadf8 \ud575\uc2ec\uc744 \ub530\uc9c0\uace0 \ub4e4\uc5b4\uac04\ub2e4\uba74, \ub2e4\uc74c\uc758 \ud568\uc218\ub97c \ucd94\uc815\ud558\ub294 \uac83\uc774\ub77c\uace0 \ubcfc \uc218 \uc788\ub2e4.<\/p>\n<p>\\[f(x) = \\mathbb{E}[y|x]\\]<\/p>\n<p>\uc774\ub294 <a href=\"http:\/\/141.164.34.82\/?p=2036\">\uc190\uc218\ud68c\uadc0(Manual Regression)<\/a>\uc5d0\uc11c\ub3c4 \uc124\uba85\ud55c \uac83\ucc98\ub7fc, \uc9c1\uad00\uc801\uc73c\ub85c \uc0dd\uac01\ud574\ub3c4 \uadf8\ub9ac \uc5b4\ub835\uc9c0 \uc54a\uc740 \uac1c\ub150\uc774\ub2e4. \ud558\uc9c0\ub9cc \uace0\ucc28\uc6d0\uc758 \uc124\uba85\ubcc0\uc218 \\(\\vec{x}\\) \uc640 \uc0d8\ud50c\uc758 \uc218\uac00 \ucda9\ubd84\ud558\uc9c0 \uc54a\uc744 \ub54c\uc5d0\ub294 \uc55e\uc5d0\uc11c \uc124\uba85\ud55c \uc190\uc73c\ub85c(?) \ub610\ub294 \uc21c\uc9c4\ud55c(naive?) \ubc29\ubc95\uc73c\ub85c\ub294 \ud55c\uacc4\uac00 \ubd80\ub52a\ud788\uac8c \ub41c\ub2e4.<\/p>\n<p>\uc5ec\ub7ec <a href=\"http:\/\/141.164.34.82\/?p=1954\">\ube14\ub799 \ubc15\uc2a4 \ubaa8\ud615\ub4e4<\/a>\uc740 \uc800\ub9c8\ub2e4\uc758 \uac00\uc815(assumption)\uc744 \uac00\uc9c0\uace0 \uace0\ucc28\uc6d0\uc131\uc744 \ud574\uacb0\ud558\ub824\uace0 \ud55c\ub2e4\uace0 \uc0dd\uac01\ud558\uba74 \ub420 \uac83\uc774\ub2e4. \uadf8 \uc911\uc5d0 \ucd5c\uadfc\uc5d0 \uac01\uad11\uc744 \ubc1b\uace0 \uc788\ub294 \ubc29\ubc95\uc740 <strong>\uc2ec\uce35 \uc2e0\uacbd\ub9dd<\/strong>\uc774\ub2e4. <code>keras<\/code>\uc744 \uc0ac\uc6a9\ud558\uc5ec \uc2ec\uce35 \uc2e0\uacbd\ub9dd \ubaa8\ud615\uc744 \ubcf8\uaca9\uc801\uc73c\ub85c \uc0ac\uc6a9\ud560 \uc218 \uc788\ub2e4.<\/p>\n<h2>\uccab \ubc88\uc9f8 \ubaa8\ud615 : \\(f(x) = \\mathbb{E}[y|x]\\)<\/h2>\n<p>\ub370\uc774\ud130\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\n<pre><code class=\"r\">## Data\r\nN = 1000\r\nx = runif(N, -2, 2)\r\n#y = sin(x*pi) + abs(x)\/2 * rnorm(N)\r\ny = sin(x*pi) + 1\/2*(abs(cos(x))+1\/8) * rnorm(N)\r\n#y = sin(x*pi) + abs(cos(x)) * rnorm(N)\r\n\r\nplot(y ~ x)\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-2\" src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-2\" width=\"58%\" \/><\/p>\n<p>\uadf8\ub9ac\uace0, \uc2e4\uc81c \ud3c9\uade0\uacfc \\(\\pm\\) 1 \ud45c\uc900\ud3b8\ucc28\uc758 \uadf8\ub798\ud504\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\n<pre><code class=\"r\">curve(sin(x*pi), xlim=c(-2,2), ylim=c(-2,2))\r\ncurve(sin(x*pi) + 1\/2*(abs(cos(x))+1\/8), xlim=c(-2,2), add=TRUE, lty='dotted')\r\ncurve(sin(x*pi) - 1\/2*(abs(cos(x))+1\/8), xlim=c(-2,2), add=TRUE, lty='dotted')\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-3\" 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\" alt=\"plot of chunk unnamed-chunk-3\" width=\"58%\" \/><\/p>\n<p>\uc774\ub97c \uc2ec\uce35 \uc778\uacf5\uc2e0\uacbd\ub9dd\uc73c\ub85c \ucd94\uc815\ud574 \ubcf4\uc790.<\/p>\n<pre><code class=\"r\">library(keras)\r\n<\/code><\/pre>\n<pre><code class=\"r\">model &lt;- keras_model_sequential()\r\nmodel %&gt;%\r\n  layer_dense(units = 32, input_shape = 1) %&gt;%\r\n  layer_activation_leaky_relu() %&gt;%\r\n  layer_dense(units=32) %&gt;%\r\n  layer_activation_leaky_relu() %&gt;%\r\n  layer_dense(units = 1, activation = 'linear')\r\n<\/code><\/pre>\n<pre><code class=\"r\">model %&gt;% compile(\r\n  optimizer = \"adam\",\r\n  #lr=0.01,\r\n  loss = \"mse\",\r\n  metrics = \"mae\"\r\n)\r\n<\/code><\/pre>\n<pre><code class=\"r\">history &lt;-\r\n  model %&gt;% fit(x,\r\n                y,\r\n                batch_size = 100,\r\n                epochs = 100)\r\nplot(history)\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-7\" src=\"data:image\/png;base64,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\" alt=\"plot of chunk unnamed-chunk-7\" width=\"58%\" \/><\/p>\n<p>\uc774\uc81c \ubaa8\ud615\uc758 \uc608\uce21\uacfc \uc2e4\uc81c \ud3c9\uade0\uc744 \ud568\uaed8 \uadf8\ub824\ubcf4\uc790. \ud68c\uc0c9\uc740 \uc2e4\uc81c \ud3c9\uade0\uacfc \\(\\pm 1\\) \ud45c\uc900\ud3b8\ucc28\ub97c \ubcf4\uc5ec\uc8fc\uace0, \uad75\uc740 \uac80\uc815\uc0c9 \uc810\uc120\uc740 \uc2ec\uce35\uc2e0\uacbd\ub9dd\uc73c\ub85c \ucd94\uc815\ud55c \ud3c9\uade0(\ud68c\uadc0\uc120)\uc774\ub2e4.<\/p>\n<pre><code class=\"r\"># PREDICTION\r\ntest_x &lt;- seq(-2,2,0.05)\r\npred_y &lt;- predict(model, test_x)[,1]\r\ndatPred &lt;- data.frame(x=test_x, y=pred_y) \r\n\r\n# TRUE \r\ntrue_y &lt;- sin(test_x*pi)\r\ntrue_yUpper &lt;- sin(test_x*pi) + 1\/2*(abs(cos(test_x))+1\/8)\r\ntrue_yLower &lt;- sin(test_x*pi) - 1\/2*(abs(cos(test_x))+1\/8)\r\ndatTrue &lt;- data.frame(x=test_x, y=true_y, ymax=true_yUpper, ymin=true_yLower)\r\n\r\nrequire(ggplot2)\r\nggplot() + \r\n  geom_line(data=datPred, aes(x=x, y=y), linetype='dotted') +\r\n  geom_line(data=datTrue, aes(x=x, y=y), col='grey20') + \r\n  geom_ribbon(data=datTrue, aes(x=x, ymin=ymin, ymax=ymax), alpha=0.15)\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-8\" 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\" alt=\"plot of chunk unnamed-chunk-8\" width=\"58%\" \/><\/p>\n<p>\uc790\ub8cc\uc758 \uc911\uc2ec\ubd80\uc5d0\uc11c\ub294 \uc0c1\ub2f9\ud788 \uc815\ud655\ud558\uc9c0\ub9cc, \uc591\ub05d\uc5d0\uc11c\ub294 \uadf8\ub9ac \uc815\ud655\ud558\uc9c0 \ubabb\ud588\ub2e4. \ud558\uc9c0\ub9cc \uc5ec\uae30\uc11c \ud55c \uac00\uc9c0 \ub354 \uc8fc\ubaa9\ud560 \uc810\uc740 \uc2e4\uc81c \ub370\uc774\ud130\ub294 \\(\\mathbb{V}\\textrm{ar}[y|x]\\) \uc5ed\uc2dc \ubcc0\ud558\uace0 \uc788\ub2e4\ub294 \uc810\uc774\ub2e4. \uc6b0\ub9ac\uac00 \ub2e4\ub8ec \uc704\uc758 \uc2ec\uce35 \ubaa8\ud615\uc740 \uc870\uac74\ubd80 \ubd84\uc0b0\uc740 \ub2e4\ub8e8\uc9c0 \ubabb\ud55c\ub2e4.<\/p>\n<h2>\ub450 \ubc88\uc9f8 \ubaa8\ud615 : \\(f_1(x) = \\mathbb{E}[y|x], f_2(x) = \\mathbb{V}\\textrm{ar}[y|x]\\)<\/h2>\n<p>\uc2ec\uce35\uc2e0\uacbd\ub9dd\uc758 \ucd9c\ub825\uc744 \ub450 \uac1c \uc774\uc0c1\uc73c\ub85c \ub9cc\ub4e4 \uc218 \uc788\ub2e4. \ud754\ud788 \ub2e4\uc911 \ucd9c\ub825(multiple output, multi-head)\ub77c\uace0 \uc598\uae30\ud55c\ub2e4.<\/p>\n<p><code>keras<\/code>\ub97c \uc0ac\uc6a9\ud558\uba74 \uc27d\ub2e4. \uc704\uc758 \ubaa8\ud615\uc5d0\uc11c \ub9c8\uc9c0\ub9c9 output\ub9cc \ubc14\uafd4\uc8fc\uba74 \ub41c\ub2e4.<\/p>\n<pre><code class=\"r\">model %&gt;%\r\n  layer_dense(units = 32, input_shape = 1) %&gt;%\r\n  layer_activation_leaky_relu() %&gt;%\r\n  layer_dense(units=32) %&gt;%\r\n  layer_activation_leaky_relu() %&gt;%\r\n  layer_dense(units = 2, activation = 'linear')\r\n<\/code><\/pre>\n<h3>\ud3c9\uade0-\ud45c\uc900\ud3b8\ucc28 \ucd9c\ub825 \ubaa8\ud615\uc758 \uc190\uc2e4\ud568\uc218<\/h3>\n<p>\ubb38\uc81c\ub294 <code>loss<\/code>\uc774\ub2e4.<\/p>\n<p>\uac00\uc7a5 \uc190\uc26c\uc6b4 \ubc29\ubc95\uc740 \\(-\\log \\mathbb{P}(y|x)\\) \ub85c \uc124\uc815\ud558\ub294 \uac83\uc774\ub2e4. \uc774\ub54c \\(\\mathbb{P}(y|x)\\) \uc5d0 \\(\\log\\) \ub97c \ucde8\ud558\ub294 \uac83\uc740 \uc6b0\ub9ac\uac00 \uc774 \uc190\uc2e4\ud569\uc758 \ucd5c\uc18c\ud654\ud558\ub294 \ubaa8\uc218(\uc2e0\uacbd\ub9dd weights)\ub97c \uad6c\ud558\uae30 \ub54c\ubb38\uc774\ub2e4. \ub2e4\uc74c \uc2dd\uc5d0\uc11c \ud655\uc778\ud560 \uc218 \uc788\ub4ef\uc774, \uc774\ub294<\/p>\n<p>\\[\\log \\mathbb{P}(y_1|x_1) + \\log \\mathbb{P}(y_2|x_2) = \\log \\mathbb{P}(y_1|x_1)\\mathbb{P}(y_2|x_2)\\]<\/p>\n<p>\uacb0\uad6d \ubaa8\ub4e0 \uad00\ucc30 \\((x_1, y_1), (x_2, y_2), \\cdots\\) \uc774 \uc11c\ub85c \ub3c5\ub9bd\uc77c \ub54c, \ubaa8\ub4e0 \uad00\ucc30\uc5d0 \ub300\ud574 \ud655\ub960\uc744 \ucd5c\ub300\ub85c \ud558\ub294 \ucd5c\ub300\uc6b0\ub3c4\ucd94\uc815\uac12\uc744 \uad6c\ud558\ub294 \uac83\uacfc \uac19\ub2e4.<\/p>\n<p>\uc5ec\uae30\uc11c \\(y\\) \uc758 \uc870\uac74\ubd80 \ud655\ub960 \ubd84\ud3ec \\(\\mathbb{P}(y|x)\\) \ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uac00\uc7a5 \ub9cc\ub9cc\ud55c \uc815\uaddc\ubd84\ud3ec\ub97c \uac00\uc815\ud558\uc790.<\/p>\n<p>\\[\\mathbb{P}(y | x) \\sim \\mathcal{N}(\\mu(x), \\sigma^2(x))\\]<\/p>\n<p>\uadf8\ub9ac\uace0 \uc2e0\uacf5\uc2e0\uacbd\ub9dd\uc758 \ub450 \ucd9c\ub825 \\(y_1, y_2\\) \ub97c \\(\\mu(x), \\sigma(x)\\) \ub85c \uc0ac\uc6a9\ud560 \uac83\uc774\ub2e4.<\/p>\n<p>\\[\\mathbb{P}(y | x) = \\frac{1}{\\sigma\\sqrt{2\\pi}}\\exp\\left(-\\frac{(x-\\mu)^2}{2\\sigma^2}\\right)\\]<\/p>\n<p>\\[\\log \\mathbb{P}(y | x) = -\\log{\\sigma}-\\frac{1}{2}\\log{2\\pi}-\\frac{(x-\\mu)^2}{2\\sigma^2}\\]<\/p>\n<p>\\[-\\log \\mathbb{P}(y | x) = \\log{\\sigma}+\\frac{1}{2}\\log{2\\pi}+\\frac{(x-\\mu)^2}{2\\sigma^2}\\]<\/p>\n<p>\uc5ec\uae30\uc11c \\(\\frac{1}{2}\\log{2\\pi}\\) \ub294 \uc0c1\uc218\uc774\ubbc0\ub85c \\(-\\log \\mathbb{P}(y | x)\\) \uc758 \ud569\uc744 \ucd5c\uc18c\ud654\ud558\ub294 \\(\\mu(x)\\) , \\(\\sigma(x)\\) \ub97c \ucc3e\ub294 \uac83\uc740 \ub2e4\uc74c\uc744 \ucd5c\uc18c\ud654\ud558\ub294 \\(\\mu(x)\\) , \\(\\sigma(x)\\) \ub97c \ucc3e\ub294 \ubb38\uc81c\uc640 \ub3d9\uc77c\ud558\ub2e4.<\/p>\n<p>\\[ \\log{\\sigma} + \\frac{(x-\\mu)^2}{2\\sigma^2}\\]<\/p>\n<h3>\uc190\uc2e4\ud568\uc218 \uad6c\ud604<\/h3>\n<p>\uc704\uc758 \uc190\uc2e4\ud568\uc218\ub294 keras\uc5d0\uc11c \ub2e4\uc74c\uacfc \uac19\uc774 \uad6c\ud604\ud560 \uc218 \uc788\ub2e4.<\/p>\n<pre><code class=\"r\">gauss_loss &lt;- function(t, pred) {\r\n  #k_mean(k_square(pred[1,] - t[1,]) + pred[2,])\r\n  #k_mean(k_square((pred[,1] - t[,1])\/pred[,2])\/2 + pred[,2])\r\n  k_mean(k_square((pred[,1] - t[,1])\/k_exp(pred[,2]))\/2 + pred[,2] )\r\n}\r\n\r\nmodel %&gt;% compile(\r\n  optimizer = \"adam\",\r\n  loss = function(y_true, y_pred)\r\n#    tilted_loss(quantile, y_true, y_pred),\r\n    gauss_loss(y_true, y_pred),\r\n  metrics = \"mae\"\r\n)\r\n<\/code><\/pre>\n<p>\uc870\uae08\ub9cc \uc124\uba85\ud574 \ubcf4\uc790\uba74, <code>loss=function(y_true, y_pred) {}<\/code> \uc5d0\uc11c <code>y_true<\/code>\uc640 <code>y_pred<\/code>\ub294 \ubaa8\ub450 \uae38\uc774 2\uc758 \ubca1\ud130\uc774\ub2e4. <code>y_pred<\/code>\ub294 \uc778\uacf5\uc2e0\uacbd\ub9dd\uc774 \ucd9c\ub825\ud558\ub294 \ub450 \uac12\uc744 \ub2f4\uace0 \uc788\ub294 \uae38\uc774 2\uc758 \ubca1\ud130\uac00 \ub418\uace0, <code>y_true<\/code>\ub294 \ub3d9\uc77c\ud558\uac8c \uae38\uc774 2\uc758 \ubca1\ud130\ub85c \uc0c1\uc815\ud588\ub2e4. \ud558\uc9c0\ub9cc \uc6b0\ub9ac\uac00 \uac00\uc9c0\uace0 \uc788\ub294 \ub370\uc774\ud130\ub294 \\((x,y)\\) \ud615\ud0dc\ub85c \\(y\\) \ubfd0\uc774\uae30 \ub54c\ubb38\uc5d0, <code>y_true<\/code>\uc758 \ub450 \ubc88\uc9f8 \uc6d0\uc18c\ub294 0\uc73c\ub85c \ucc44\uc6cc\ub123\uc5c8\ub2e4.<\/p>\n<p>\uadf8\ub9ac\uace0 <code>gauss_loss<\/code>\ub294 <code>y_true<\/code>\uc640 <code>y_pred<\/code>\ub97c \ubc1b\uc544, \uc704\uc5d0\uc11c \uc18c\uac1c\ud55c \uc190\uc2e4\ud568\uc218\ub97c \uad6c\ud558\uac8c \ub41c\ub2e4. \uc544, \uc544\ub2c8\ub2e4. \uc778\uacf5\uc2e0\uacbd\ub9dd\uc758 \ucd9c\ub825\uc740 \uc74c\uc218\ub3c4 \uac00\ub2a5\ud558\uae30 \ub54c\ubb38\uc5d0 \\(\\exp\\) \ub97c \uc801\uc6a9\ud55c \uac12\uc774 \ud45c\uc900\ud3b8\ucc28\uac00 \ub418\ub3c4\ub85d \uc870\uc815\uc744 \ud558\uc600\ub2e4.<\/p>\n<pre><code class=\"r\">train_Y &lt;- matrix(c(y, rep(0, length(y))), length(y), 2)\r\nhistory &lt;-\r\n  model %&gt;% fit(x,\r\n                train_Y,\r\n                batch_size = 100,\r\n                epochs = 1000)\r\nplot(history)\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-11\" 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\" alt=\"plot of chunk unnamed-chunk-11\" width=\"58%\" \/><\/p>\n<p>\uc774\uc81c \ub2e4\uc2dc \ud55c\ubc88 \uc2e4\uc81c \ubaa8\ud615\uacfc \ucd94\uc815\ub41c \ubaa8\ud615\uc744 \ube44\uad50\ud574\ubcf4\uc790.<\/p>\n<pre><code class=\"r\"># PREDICTION\r\ntest_x &lt;- seq(-2,2,0.05)\r\npred_y &lt;- predict(model, test_x)[,1]\r\npred_sd &lt;- predict(model, test_x)[,2]\r\ndatPred &lt;- data.frame(x=test_x, y=pred_y,\r\n                      y1=pred_y+exp(pred_sd), \r\n                      y2=pred_y-exp(pred_sd)) \r\n\r\n# TRUE \r\ntrue_y &lt;- sin(test_x*pi)\r\ntrue_yUpper &lt;- sin(test_x*pi) + 1\/2*(abs(cos(test_x))+1\/8)\r\ntrue_yLower &lt;- sin(test_x*pi) - 1\/2*(abs(cos(test_x))+1\/8)\r\ndatTrue &lt;- data.frame(x=test_x, y=true_y, ymax=true_yUpper, ymin=true_yLower)\r\n\r\nrequire(ggplot2)\r\nggplot() + \r\n  geom_line(data=datPred, aes(x=x, y=y), linetype='dotted') +\r\n  geom_line(data=datPred, aes(x=x, y=y1), linetype='dotted') +\r\n  geom_line(data=datPred, aes(x=x, y=y2), linetype='dotted') +\r\n  geom_line(data=datTrue, aes(x=x, y=y), col='grey20') + \r\n  geom_ribbon(data=datTrue, aes(x=x, ymin=ymin, ymax=ymax), alpha=0.15)\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-12\" 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\" alt=\"plot of chunk unnamed-chunk-12\" width=\"58%\" \/><\/p>\n<p>\uc5b4\uc9f8 output\uc774 \ud558\ub098\uc600\ub358 \uacbd\uc6b0\ubcf4\ub2e4 \ub354 \uc815\ud655\ud55c \ub4ef \ubcf4\uc778\ub2e4. multi-head\uc778 \uacbd\uc6b0\uc5d0 regularization \ud6a8\uacfc\uac00 \uc788\ub2e4\uace0 \uc54c\ub824\uc838 \uc788\ub2e4.<\/p>\n<h2>\ube45\ub370\uc774\ud130 \uc2dc\ubbac\ub808\uc774\uc158<\/h2>\n<pre><code class=\"r\">## Data\r\nN = 10000\r\nx = runif(N, -2, 2)\r\n#y = sin(x*pi) + abs(x)\/2 * rnorm(N)\r\ny = sin(x*pi) + 1\/2*(abs(cos(x))+1\/8) * rnorm(N)\r\n#y = sin(x*pi) + abs(cos(x)) * rnorm(N)\r\n\r\nplot(y ~ x)\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-13\" src=\"data:image\/png;base64,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\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\" alt=\"plot of chunk unnamed-chunk-13\" width=\"58%\" \/><\/p>\n<pre><code class=\"r\">## To initialize the weights\r\nmodel &lt;- keras_model_sequential()\r\nmodel %&gt;%\r\n  layer_dense(units = 32, input_shape = 1) %&gt;%\r\n  layer_activation_leaky_relu() %&gt;%\r\n  layer_dense(units=32) %&gt;%\r\n  layer_activation_leaky_relu() %&gt;%\r\n  layer_dense(units = 2, activation = 'linear')\r\n\r\ngauss_loss &lt;- function(t, pred) {\r\n  #k_mean(k_square(pred[1,] - t[1,]) + pred[2,])\r\n  #k_mean(k_square((pred[,1] - t[,1])\/pred[,2])\/2 + pred[,2])\r\n  k_mean(k_square((pred[,1] - t[,1])\/k_exp(pred[,2]))\/2 + pred[,2] )\r\n}\r\n\r\nmodel %&gt;% compile(\r\n  optimizer = \"adam\",\r\n  loss = function(y_true, y_pred)\r\n#    tilted_loss(quantile, y_true, y_pred),\r\n    gauss_loss(y_true, y_pred),\r\n  metrics = \"mae\"\r\n)\r\n\r\ntrain_Y &lt;- matrix(c(y, rep(0, length(y))), length(y), 2)\r\nhistory &lt;-\r\n  model %&gt;% fit(x,\r\n                train_Y,\r\n                batch_size = 100,\r\n                epochs = 100)\r\nplot(history)\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-14\" 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alt=\"plot of chunk unnamed-chunk-14\" width=\"58%\" \/><\/p>\n<pre><code class=\"r\"># PREDICTION\r\ntest_x &lt;- seq(-2,2,0.05)\r\npred_y &lt;- predict(model, test_x)[,1]\r\npred_sd &lt;- predict(model, test_x)[,2]\r\ndatPred &lt;- data.frame(x=test_x, y=pred_y,\r\n                      y1=pred_y+exp(pred_sd), \r\n                      y2=pred_y-exp(pred_sd)) \r\n\r\n# TRUE \r\ntrue_y &lt;- sin(test_x*pi)\r\ntrue_yUpper &lt;- sin(test_x*pi) + 1\/2*(abs(cos(test_x))+1\/8)\r\ntrue_yLower &lt;- sin(test_x*pi) - 1\/2*(abs(cos(test_x))+1\/8)\r\ndatTrue &lt;- data.frame(x=test_x, y=true_y, ymax=true_yUpper, ymin=true_yLower)\r\n\r\nrequire(ggplot2)\r\nggplot() + \r\n  geom_line(data=datPred, aes(x=x, y=y), linetype='dotted') +\r\n  geom_line(data=datPred, aes(x=x, y=y1), linetype='dotted') +\r\n  geom_line(data=datPred, aes(x=x, y=y2), linetype='dotted') +\r\n  geom_line(data=datTrue, aes(x=x, y=y), col='grey20') + \r\n  geom_ribbon(data=datTrue, aes(x=x, ymin=ymin, ymax=ymax), alpha=0.15)\r\n<\/code><\/pre>\n<p><img title=\"plot of chunk unnamed-chunk-15\" 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alt=\"plot of chunk unnamed-chunk-15\" width=\"58%\" \/><\/p>\n<p>\uac70\uc758 \uc644\ubcbd\ud558\ub2e4!<\/p>\n<hr \/>\n<h3>\uc0dd\uac01\ud560 \ubb38\uc81c<\/h3>\n<ul>\n<li>\\(y\\) \uc758 \uc870\uac74\ubd80 \ubd84\ud3ec \\(\\mathbb{P}[y|x]\\) \ub97c \uc815\uaddc\ubd84\ud3ec\uac00 \uc544\ub2c8\ub77c, laplace \ubd84\ud3ec, t-\ubd84\ud3ec \ub4f1\uc73c\ub85c \ubc14\uafd4 \ubcf4\uc790. \uc5b4\ub5a4 \uc787\uc810\uc774 \uc788\ub294\uac00?<\/li>\n<li>\uc124\uba85\ubcc0\uc218\uac00 1\ucc28\uc6d0\uc778 \uacbd\uc6b0\uc784\uc5d0\ub3c4 \uc815\ud655\ud55c \ucd94\uc815\uc744 \uc704\ud574 10000\uac1c\uc758 \ub370\uc774\ud130\ud3ec\uc778\ud2b8\uac00 \ud544\uc694\ud588\ub2e4. \uacfc\uc5f0 \uace0\ucc28\uc6d0\uc758 \uc790\ub8cc\uc5d0\uc11c \uc774 \ubc29\ubc95\uc744 \uc720\uc6a9\ud558\uac8c \uc0ac\uc6a9\ud560 \uc218 \uc788\uc744\uae4c?<\/li>\n<li>\ub9cc\uc57d \\(\\mathbb{V}\\textrm{ar}[y|x]\\) \ub294 \ud06c\uac8c \ubcc0\ud568\uc774 \uc5c6\ub2e4\ub294 \uc0ac\uc804 \uc9c0\uc2dd(\ud639\uc740 \uc0ac\uc804 \ubd84\ud3ec)\uac00 \uc788\ub2e4\uba74 \uc5b4\ub5bb\uac8c \uc190\uc2e4 \ud568\uc218\ub97c \ubc14\uafc0 \uc218 \uc788\ub294\uac00?<\/li>\n<\/ul>\n<h3>\uac1c\uc778\uc801\uc778 \uc758\ubb38<\/h3>\n<ul>\n<li>\uc194\uc9c1\ud788 \ud1b5\uacc4\ud559\uc744 \uc548\ub2e4\uba74 \ub204\uad6c\ub098 \uc774 \ubc29\ubc95\uc744 \uc0dd\uac01\ud574 \ub0bc \uc218 \uc788\uc744 \uac83\uc774\ub2e4. \ud558\uc9c0\ub9cc \uac04\ub2e8\ud788 \ud574 \ubcf8 \uc778\ud130\ub137 \uac80\uc0c9\uc5d0\uc11c\ub294 \uc790\ub8cc\ub97c \ucc3e\uc744 \uc218 \uc5c6\uc5c8\ub2e4. (\uc774 \ubc29\ubc95\uc740 \ud3c9\uade0\uc758 \ubd88\ud655\uc2e4\uc131\uc744 \ud45c\ud604\ud560 \uc218 \uc788\ub294 \ubca0\uc774\uc9c0\uc548 \uc778\uacf5\uc2e0\uacbd\ub9dd\uacfc \ub2e4\ub984\uc744 \uc720\uc758\ud558\uc790.) \uacfc\uc5f0 \uc774 \ubaa8\ud615\uc740 \uc5b4\ub5a4 \uc774\ub984\uc73c\ub85c \ud574\uc57c \uac80\uc0c9\ud560 \uc218 \uc788\uc744\uae4c?\n<ul>\n<li>\uc0dd\uac01\ud574\ubcf4\ub2c8 \uc774 \ubaa8\ud615\uc758 \uc774\ub984\uc740 \ub530\ub85c \uc5c6\uc9c0\ub9cc y|x\uc758 \ubd84\ud3ec(parameteric)\ub97c \uc608\uce21\ud55c\ub2e4\ub294 \uc810\uc5d0\uc11c MDN(Mixture Density Network)\uc640 \ub3d9\uc77c\ud558\ub2e4\uace0 \ubcfc \uc218 \uc788\uc744 \uac83 \uac19\uc2b5\ub2c8\ub2e4.<\/li>\n<\/ul>\n<\/li>\n<li>\uc190\uc2e4\ud568\uc218\ub9cc \uc870\uae08 \ubc14\uafd4\uc11c \ud560 \uc218 \uc788\ub294 quantile regression\uc5d0 \ub300\ud574\uc11c\ub294 \ub2e4\uc74c\uc5d0\uc11c \uc5b8\uae09\ub418\uace0 \uc788\ub2e4.(\uc0ac\uc2e4 \ub2e4\uc74c\uc758 \uc0ac\uc774\ud2b8\ub97c \uae30\ucd08\ub85c \uc704\uc758 \uc608\uc2dc\ub97c \ub9cc\ub4e4\uc5c8\ub2e4.)\n<ul>\n<li><a href=\"https:\/\/github.com\/rstudio\/keras\/issues\/451\">Define a new loss function in Keras<\/a><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>keras\uc640 \uc778\uacf5\uc2e0\uacbd\ub9dd(ANN; Artificial Neural Network) \uc778\uacf5\uc2e0\uacbd\ub9dd\uc774 \ub300\ub2e8\ud574 \ubcf4\uc77c\uc9c0\ub77c\ub3c4, \uadf8 \ud575\uc2ec\uc744 \ub530\uc9c0\uace0 \ub4e4\uc5b4\uac04\ub2e4\uba74, \ub2e4\uc74c\uc758 \ud568\uc218\ub97c \ucd94\uc815\ud558\ub294 \uac83\uc774\ub77c\uace0 \ubcfc \uc218 \uc788\ub2e4. \\[f(x) = \\mathbb{E}[y|x]\\] \uc774\ub294 \uc190\uc218\ud68c\uadc0(Manual Regression)\uc5d0\uc11c\ub3c4 \uc124\uba85\ud55c \uac83\ucc98\ub7fc, \uc9c1\uad00\uc801\uc73c\ub85c \uc0dd\uac01\ud574\ub3c4 \uadf8\ub9ac \uc5b4\ub835\uc9c0 \uc54a\uc740 \uac1c\ub150\uc774\ub2e4. \ud558\uc9c0\ub9cc \uace0\ucc28\uc6d0\uc758 \uc124\uba85\ubcc0\uc218 \\(\\vec{x}\\) \uc640 \uc0d8\ud50c\uc758 \uc218\uac00 \ucda9\ubd84\ud558\uc9c0 \uc54a\uc744 \ub54c\uc5d0\ub294 \uc55e\uc5d0\uc11c \uc124\uba85\ud55c \uc190\uc73c\ub85c(?) \ub610\ub294 \uc21c\uc9c4\ud55c(naive?) \ubc29\ubc95\uc73c\ub85c\ub294 \ud55c\uacc4\uac00 \ubd80\ub52a\ud788\uac8c \ub41c\ub2e4. \uc5ec\ub7ec \ube14\ub799 \ubc15\uc2a4 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2113,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[146,319],"tags":[430,431,429],"jetpack_featured_media_url":"http:\/\/ds.sumeun.org\/wp-content\/uploads\/2020\/01\/keras_multihead_mean_sd.png","_links":{"self":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2110"}],"collection":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2110"}],"version-history":[{"count":5,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2110\/revisions"}],"predecessor-version":[{"id":2116,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/posts\/2110\/revisions\/2116"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=\/wp\/v2\/media\/2113"}],"wp:attachment":[{"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2110"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2110"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/ds.sumeun.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2110"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}