{ "cells": [ { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "# Lecture 2\n", "\n", "## Bias-Variance Decomposition\n", "\n", "Please run the following cell with `Shift+Enter` to see the video." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "text/html": [] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "IRdisplay::display_html('')" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "The figure on the first slides was produced with the following code." ] }, { "cell_type": "code", "execution_count": 70, "metadata": { "lines_to_next_cell": 0 }, "outputs": [], "source": [ "myfunc <- function(x) {sin(2*x) + 2*(x - 0.5)^3 - 0.5*x}\n", "generate.data <- function(N = 50) {\n", " x <- runif(N)\n", " y <- myfunc(x) + .06 * rnorm(N)\n", " data.frame(x = x, y = y)\n", "}\n", "plot.fit <- function(fit, from = 0, to = 1, N = 100, ...) {\n", " grid <- seq(from, to, length.out = N)\n", " y.pred <- predict(fit, data.frame(x = grid))\n", " lines(grid, y.pred, ...)\n", "}" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "With the `generate.data` function we can now generate different (training or\n", "test) data sets.\n", "\n", "We will use the `plot.fit` function to plot our fits. This function has three\n", "optional arguments with default values, and then there are these funny `...` at\n", "the end. They are simply used to pass all other arguments we may provide to\n", "`plot.fit` directly to the `lines` function. Use the help `?\"...\"` to get more\n", "information.\n", "\n", "Now we preform the fits and plot everything." ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "image/png": 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n8e33xT8OV//onmzdG0Kd6/F5e0aAFzc/j5oW5dPHyo0G+29PT0s2fP+vv7Hz16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\njBANZVfaIp6o3xJZBqPkMW4ct7r7t9/g66sqQaK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YWewYDEZh2LIFd+8Ky1Wrws9Pvt1HRaFVK9E8UbS8gFcAACAASURBVARMAUYDWQDG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\nx9sW5+XPb5usom3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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "# pdf(\"fit_different_training_sets.pdf\", width = 4, height = 5)\n", "set.seed(4)\n", "data.train1 = generate.data()\n", "linear.fit1 = lm(y ~ x, data.train1)\n", "poly.fit1 = lm(y ~ poly(x, 10), data.train1)\n", "data.train2 = generate.data()\n", "linear.fit2 = lm(y ~ x, data.train2)\n", "poly.fit2 = lm(y ~ poly(x, 10), data.train2)\n", "plot(data.train1, col = 'red', xlim = c(.2, 1), ylim = c(.15, .7))\n", "curve(myfunc, from = -.2, to = 1.2, lw = 3, add = T)\n", "plot.fit(linear.fit1, col = 'red', lw = 3, lty = 2)\n", "plot.fit(poly.fit1, col = 'red', lw = 3)\n", "points(data.train2, col = 'blue', new = F)\n", "plot.fit(linear.fit2, col = 'blue', lw = 3, lty = 2)\n", "plot.fit(poly.fit2, col = 'blue', lw = 3)\n", "# dev.off()" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "Let us evaluate the bias and the variance now." ] }, { "cell_type": "code", "execution_count": 72, "metadata": { "lines_to_next_cell": 0 }, "outputs": [], "source": [ "fit.and.evaluate <- function(formula, x0) {\n", " data <- generate.data()\n", " fit <- lm(formula, data)\n", " predict(fit, data.frame(x = x0))\n", "}" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "This `fit.and.evaluate` function generates a random data set, performs a fit\n", "with the given `formula` and returns the predicted response for input `x0`.\n", "Evaluate the following cell multiple times, to get a feeling for it.\n", "You may also want to try with another `formula` or `x0`." ] }, { "cell_type": "code", "execution_count": 73, "metadata": { "lines_to_next_cell": 0 }, "outputs": [ { "data": { "text/html": [ "1: 0.507278918135347" ], "text/latex": [ "\\textbf{1:} 0.507278918135347" ], "text/markdown": [ "**1:** 0.507278918135347" ], "text/plain": [ " 1 \n", "0.5072789 " ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit.and.evaluate(y ~ x, 0.6)" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "In the following cell we run repeat the `fit.and.evaluate` 1000 times for two\n", "different formulas and print the results with the `cat` function." ] }, { "cell_type": "code", "execution_count": 74, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Linear Method : Bias^2 = 0.01733586 Variance = 0.0003867979 \n", "Polynomial Method: Bias^2 = 4.734845e-08 Variance = 0.0006441321 \n" ] } ], "source": [ "x0 <- 0.5\n", "linear.results <- replicate(1000, fit.and.evaluate(y ~ x, x0))\n", "cat(\"Linear Method : Bias^2 = \", (myfunc(x0) - mean(linear.results))^2,\n", " \"Variance = \", var(linear.results), \"\\n\")\n", "poly.results <- replicate(1000, fit.and.evaluate(y ~ poly(x, 10), x0))\n", "cat(\"Polynomial Method: Bias^2 = \", (myfunc(x0) - mean(poly.results))^2,\n", " \"Variance = \", var(poly.results), \"\\n\")" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "To compute the squared bias above, we needed access to the data generating\n", "function. But usually we do not know this function. Nevertheless, we can\n", "estimate the squared bias by using the error decomposition shown in the slides,\n", "if we know approximately the variance of the irreducible error and have multiple\n", "samples available. Compare the result we obtain in the following cell with the\n", "one we obtained above." ] }, { "cell_type": "code", "execution_count": 75, "metadata": {}, "outputs": [ { "data": { "text/html": [ "0.0180151938619295" ], "text/latex": [ "0.0180151938619295" ], "text/markdown": [ "0.0180151938619295" ], "text/plain": [ "[1] 0.01801519" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "samples <- myfunc(x0) + 0.06*rnorm(1000)\n", "mean((samples - linear.results)^2) - 0.06^2 - var(linear.results)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Please take now a brief moment to think about what you have learned about the\n", "bias-variance decomposition before moving to the\n", "[quiz](https://moodle.epfl.ch/mod/quiz/view.php?id=1093984).\n", "\n", "## The Bayes Classifier and K-Nearest Neighbours Classification" ] }, { "cell_type": "code", "execution_count": 76, "metadata": {}, "outputs": [ { "data": { "text/html": [] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "IRdisplay::display_html('')" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "Let us create the artificial example from the slides." ] }, { "cell_type": "code", "execution_count": 77, "metadata": { "lines_to_next_cell": 0 }, "outputs": [], "source": [ "set.seed(321) # set the random seed\n", "prob.true <- function(x) { 1 / (1 + exp(-10*(x - 0.5))) } # define probabilities\n", "x <- runif(100) # generate 100 uniformly distributed input values\n", "y <- prob.true(x) > runif(100) # generate associated labels" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "Do you understand what is happening in the last line of the previous cell?\n", "\n", "With `prob.true(x)` we compute the probablities of label `TRUE` for every input\n", "value. With `runif(100)` we generate again 100 uniformly distributed values\n", "between 0 and 1. With the `>` operator we determine for each input, whether the\n", "probability of label `TRUE` is larger than the randomly generated value; if this\n", "is the case we assign label `TRUE` to that input. Are you convinced that this is\n", "doing the right thing? If not, create a new cell below and run for example\n", "`mean(0.7 > runif(10^5))`, `replicate(10, c(0.2, 0.7) > runif(2))` or\n", "`rowMeans(replicate(10^5, c(0.2, 0.7) > runif(2)))`.\n", "\n", "Let us plot the results from above." ] }, { "cell_type": "code", "execution_count": 78, "metadata": {}, "outputs": [ { "data": { "image/png": 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NnVpInpHADcHu/+AMCtXbqk8eM1fjzjOgDxY2IHAG5t6FDlyKGGDU3nAGAFvAEE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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "plot(x, y, pch = \"|\", yaxt = \"n\") # you can find help about pch and yaxt with ?par\n", "axis(2, at = c(0, 1), c(\"FALSE\", \"TRUE\")) # plots tick labels on the y-axis\n", "curve(prob.true, from = 0, to = 1, col = \"blue\", add = TRUE)" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "The probability density for class label `TRUE` is equal to 0.5 for x = 0.5,\n", "smaller for smaller x and larger for larger x. Therefore the Bayes Decision\n", "boundary is at x = 0.5. The Bayes Error Rate can thus be computed by integrating\n", "the probability density function from 0 to 0.5 and multiplying the result by 2,\n", "because we predict as many FALSEs incorrectly as we predict TRUEs incorrectly.\n", "The result is $\\frac2{10}(log(2) - log(1 + e^{-5})$.\n", "We can also estimate the Bayes Error Rate with many samples." ] }, { "cell_type": "code", "execution_count": 79, "metadata": { "lines_to_next_cell": 2 }, "outputs": [ { "data": { "text/html": [ "0.137313" ], "text/latex": [ "0.137313" ], "text/markdown": [ "0.137313" ], "text/plain": [ "[1] 0.137313" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x <- runif(10^6)\n", "p <- prob.true(x)\n", "y <- p > runif(10^6)\n", "y.pred <- p > 0.5\n", "mean(y != y.pred)" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "Does your estimation reach approximately the same result as the theoretical\n", "prediction above?\n", "\n", "Let us create now an artificial two dimensional data set." ] }, { "cell_type": "code", "execution_count": 80, "metadata": { "lines_to_next_cell": 0 }, "outputs": [ { "data": { "image/png": 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4iiY2FH9FEOHz6ckZERHBx88uTJJk2avO+yHj2weTP+XXQtXQpbW7i6/v11fv57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\nPy555r5ec6IM3uMmDdSZpkoAA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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "bayes.boundary <- function(x) {(6*x - 9)^3/160 - (5*x - 12)/2.5}\n", "prob.true <- function(data) { 1 / (1 + exp(-5*(bayes.boundary(data$X1) - data$X2))) }\n", "set.seed(9)\n", "N <- 200\n", "x <- data.frame(X1 = 3*runif(N), X2 = 3*runif(N))\n", "y <- prob.true(x) > runif(N)\n", "plot(x[y,], col = 'blue', xlim = c(0, 3), ylim = c(0, 3)) # plot all points with class label TRUE\n", "points(x[!y,], col = 'red') # !y means \"not y\", i.e. select all points with class label FALSE\n", "curve(bayes.boundary, from = 0, to = 3, lty = 2, add = T)" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "We will use again the `kNN` function to perform classification, this time with\n", "the Euclidean distance in 2 dimensions to find the nearest neighbours." ] }, { "cell_type": "code", "execution_count": 81, "metadata": { "lines_to_next_cell": 0 }, "outputs": [], "source": [ "kNN <- function(x0, x, y, k = 2) {\n", " d = sqrt((x[,1] - x0[1])^2 + (x[,2] - x0[2])^2) # Euclidean distance in 2D\n", " o = order(d)\n", " mean(y[o[1:k]])\n", "}\n", "grid <- expand.grid(X1 = seq(0, 3, length.out = 100), X2 = seq(0, 3, length.out = 100))\n", "prob.estimated <- apply(grid, 1, kNN, x, y, 5) # 5 nearest neighbours\n", "y.pred <- prob.estimated > 0.5" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "In the third to last line we created points that lie on an evenly spaced grid.\n", "In the second to last line we use the `apply` function along dimension 1 (rows) of the\n", "grid, to compute the estimated probability for all points on the grid.\n", "You may want to run `tail(prob.estimated)` and `prob.true(tail(grid))` to see\n", "how well the estimated probablities match the true probabilities.\n", "In the last line we compute the predicted class labels by applying the Bayes\n", "Classifier to the estimated probabilities.\n", "\n", "Let us plot everything." ] }, { "cell_type": "code", "execution_count": 82, "metadata": { "lines_to_next_cell": 0 }, "outputs": [ { "data": { "image/png": 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R8di/u0bIGLMiSm02qNHzNJ7YK1h+Ax49V+sv+HqooVcfH481it9HkPQzqiYsW8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kQoAtTh1EZg14ZSA5tySWe2nv6ClTKsQKVwOS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\ngxYNuZkUk6GkF9mGdA8IsF++vCXpQbYnPcgQ0oIqGPkWG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10ltr3E21WrvjQzK5o5888rV65lZ39x6VL3KVNWmJoWb978bWW19+wZNnv2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\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I68nRpbZlhTxZYZxXtCQpVy5cK1Za6u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\nahEREcCxz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"text/plain": [ "plot without title" ] }, "metadata": { "image/png": { "height": 420, "width": 420 } }, "output_type": "display_data" } ], "source": [ "plot(grid[y.pred,], col = 'yellow', pch = '*', xlim = c(0, 3), ylim = c(0, 3))\n", "points(grid[!y.pred,], col = 'green', pch = '*')\n", "points(x[y,], col = 'blue')\n", "points(x[!y,], col = 'red')\n", "curve(bayes.boundary, from = 0, to = 3, lty = 2, add = T)" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "You can see that the kNN decision boundary (the Bayes decision boundary based on\n", "the estimated probability density; boundary between green and yellow areas)\n", "follows the Bayes decision boundary of the data generating density not perfectly\n", "but captures the main trend.\n", "\n", "Let us compute the training and the test error." ] }, { "cell_type": "code", "execution_count": 83, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "training error: 0.09 \n", "test error: 0.137 \n" ] } ], "source": [ "training.error <- mean(y != (apply(x, 1, kNN, x, y, k = 5) > 0.5))\n", "cat(c(\"training error: \", training.error, \"\\n\"))\n", "N.test <- 10^3\n", "x.test <- data.frame(X1 = 3*runif(N.test), X2 = 3*runif(N.test))\n", "y.test <- prob.true(x.test) > runif(N.test)\n", "test.error <- mean(y.test != (apply(x.test, 1, kNN, x, y, k = 5) > 0.5))\n", "cat(c(\"test error: \", test.error, \"\\n\"))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Once you feel ready, please head over to the [quiz](https://moodle.epfl.ch/mod/quiz/view.php?id=1094719)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Assessment of Binary Classification" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "IRdisplay::display_html('')" ] }, { "cell_type": "markdown", "metadata": { "lines_to_next_cell": 0 }, "source": [ "Let us go back to the simple artificial classification example and compute the\n", "confusion matrix." ] }, { "cell_type": "code", "execution_count": 84, "metadata": { "lines_to_next_cell": 0 }, "outputs": [ { "data": { "text/html": [ "
42 | 4 |
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