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<h1>Chapter 9: Exercise 6</h1>
<h3>a</h3>
<p>We randomly generate 1000 points and scatter them across line \( x = y \) with wide margin. We also create noisy points along the line \( 5x -4y - 50 = 0 \). These points make the classes barely separable and also shift the maximum margin classifier.</p>
<pre><code class="r">set.seed(3154)
# Class one
x.one = runif(500, 0, 90)
y.one = runif(500, x.one + 10, 100)
x.one.noise = runif(50, 20, 80)
y.one.noise = 5/4 * (x.one.noise - 10) + 0.1
# Class zero
x.zero = runif(500, 10, 100)
y.zero = runif(500, 0, x.zero - 10)
x.zero.noise = runif(50, 20, 80)
y.zero.noise = 5/4 * (x.zero.noise - 10) - 0.1
# Combine all
class.one = seq(1, 550)
x = c(x.one, x.one.noise, x.zero, x.zero.noise)
y = c(y.one, y.one.noise, y.zero, y.zero.noise)
plot(x[class.one], y[class.one], col = "blue", pch = "+", ylim = c(0, 100))
points(x[-class.one], y[-class.one], col = "red", pch = 4)
</code></pre>
<p><img 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" alt="plot of chunk 6a"/> </p>
<p>The plot shows that classes are barely separable. The noisy points create a fictitious boundary \( 5x - 4y - 50 = 0 \).</p>
<h3>b</h3>
<p>We create a z variable according to classes.</p>
<pre><code class="r">library(e1071)
</code></pre>
<pre><code>## Loading required package: class
</code></pre>
<pre><code class="r">set.seed(555)
z = rep(0, 1100)
z[class.one] = 1
data = data.frame(x = x, y = y, z = z)
tune.out = tune(svm, as.factor(z) ~ ., data = data, kernel = "linear", ranges = list(cost = c(0.01,
0.1, 1, 5, 10, 100, 1000, 10000)))
summary(tune.out)
</code></pre>
<pre><code>##
## Parameter tuning of 'svm':
##
## - sampling method: 10-fold cross validation
##
## - best parameters:
## cost
## 10000
##
## - best performance: 0
##
## - Detailed performance results:
## cost error dispersion
## 1 1e-02 0.05636 0.02260
## 2 1e-01 0.04636 0.01841
## 3 1e+00 0.04545 0.01868
## 4 5e+00 0.05000 0.02153
## 5 1e+01 0.04818 0.02102
## 6 1e+02 0.04727 0.02134
## 7 1e+03 0.02364 0.02019
## 8 1e+04 0.00000 0.00000
</code></pre>
<pre><code class="r">data.frame(cost = tune.out$performances$cost, misclass = tune.out$performances$error *
1100)
</code></pre>
<pre><code>## cost misclass
## 1 1e-02 62
## 2 1e-01 51
## 3 1e+00 50
## 4 5e+00 55
## 5 1e+01 53
## 6 1e+02 52
## 7 1e+03 26
## 8 1e+04 0
</code></pre>
<p>The table above shows train-misclassification error for all costs. A cost of 10000 seems to classify all points correctly. This also corresponds to a cross-validation error of 0.</p>
<h3>c</h3>
<p>We now generate a random test-set of same size. This test-set satisfies the true decision boundary \( x = y \). </p>
<pre><code class="r">set.seed(1111)
x.test = runif(1000, 0, 100)
class.one = sample(1000, 500)
y.test = rep(NA, 1000)
# Set y > x for class.one
for (i in class.one) {
y.test[i] = runif(1, x.test[i], 100)
}
# set y < x for class.zero
for (i in setdiff(1:1000, class.one)) {
y.test[i] = runif(1, 0, x.test[i])
}
plot(x.test[class.one], y.test[class.one], col = "blue", pch = "+")
points(x.test[-class.one], y.test[-class.one], col = "red", pch = 4)
</code></pre>
<p><img 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" alt="plot of chunk 6c"/> </p>
<p>We now make same predictions using all linear svms with all costs used in previous part. </p>
<pre><code class="r">set.seed(30012)
z.test = rep(0, 1000)
z.test[class.one] = 1
all.costs = c(0.01, 0.1, 1, 5, 10, 100, 1000, 10000)
test.errors = rep(NA, 8)
data.test = data.frame(x = x.test, y = y.test, z = z.test)
for (i in 1:length(all.costs)) {
svm.fit = svm(as.factor(z) ~ ., data = data, kernel = "linear", cost = all.costs[i])
svm.predict = predict(svm.fit, data.test)
test.errors[i] = sum(svm.predict != data.test$z)
}
data.frame(cost = all.costs, `test misclass` = test.errors)
</code></pre>
<pre><code>## cost test.misclass
## 1 1e-02 57
## 2 1e-01 17
## 3 1e+00 5
## 4 5e+00 1
## 5 1e+01 0
## 6 1e+02 204
## 7 1e+03 227
## 8 1e+04 227
</code></pre>
<p>\( \tt{cost} = 10 \) seems to be performing better on test data, making the least number of classification errors. This is much smaller than optimal value of 10000 for training data.</p>
<h3>d</h3>
<p>We again see an overfitting phenomenon for linear kernel. A large cost tries to fit correctly classify noisy-points and hence overfits the train data. A small cost, however, makes a few errors on the noisy test points and performs better on test data.</p>
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