Maximum Margin Classifiers in Support Vector Machines
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Questions and Answers

What happens to the margin position of the hyperplane if the support vectors are deleted?

  • The margin position increases
  • The margin position shifts towards the support vectors
  • The margin position decreases
  • The margin position remains unchanged (correct)

In a linearly separable dataset, why are not all points on the supporting hyperplanes considered support vectors?

  • Because they do not influence the classifier's decision boundary (correct)
  • Because they are not important for maximizing the margin
  • Because they are outliers
  • Because they are misclassified points

What is the main goal when searching for the largest margin classifier in SVM?

  • To minimize the number of support vectors
  • To maximize the distance between the classes (correct)
  • To minimize the margin width
  • To maximize the number of support vectors

How are the weights in SVM determined during optimization?

<p>Only the support vectors determine the weights (C)</p> Signup and view all the answers

What does the hyperplane H0 represent in SVM?

<p>The median plane between H1 and H2 (C)</p> Signup and view all the answers

What is the key difference between Maximum Margin Classifiers and Support Vector Classifiers?

<p>Allowing misclassification (A)</p> Signup and view all the answers

Why are support vectors crucial in determining the decision boundary in SVM?

<p>They define the boundaries of each class (A)</p> Signup and view all the answers

Why are Maximum Margin Classifiers very sensitive to outliers?

<p>They optimize the margin based on all data points (C)</p> Signup and view all the answers

What is the purpose of allowing some misclassification in Support Vector Classifiers?

<p>To improve the generalization ability (C)</p> Signup and view all the answers

How does a hard margin differ from a soft margin in Support Vector Machines?

<p>Soft margin allows some errors for better generalization (A)</p> Signup and view all the answers

What trade-off is involved when using a soft margin in Support Vector Machines?

<p>Reduced sensitivity to outliers at the expense of model complexity (D)</p> Signup and view all the answers

How is the best soft margin determined in Support Vector Machines?

<p>Through cross-validation to find the best trade-off between errors and margin size (D)</p> Signup and view all the answers

What is the formula for the margin of a separating hyperplane in Support Vector Machines?

<p>(d+) + (d-) (A)</p> Signup and view all the answers

Why should the decision boundary in SVM be as far away from the data of both classes as possible?

<p>To maximize the margin (C)</p> Signup and view all the answers

In SVM, how can a data point be identified as a support vector?

<p>By removing it resulting in increasing the margin (B)</p> Signup and view all the answers

What is the equation that corresponds to the decision boundary in SVM when trained on a dataset with 6 points, containing three samples with class label -1 and three samples with class label +1?

<p>𝑊𝑋 + b = 0 (D)</p> Signup and view all the answers

What is the characteristic of the 𝑊 vector in SVM?

<p>Orthogonal to H1 line (A)</p> Signup and view all the answers

Why are methods like Lagrange multiplier method used in practice to solve SVM?

<p>To handle non-linearly separable data (C)</p> Signup and view all the answers

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