IITM MLT Week 9 Questions
Perceptron and Logistic Regression
Week 9 question PDF
Practice linear classification through weight vectors and decision boundaries. The PDF includes perceptron mistake bounds, logistic regression and questions about losses and linearly separable data.
The complete question statements, options, numerical data and any supporting graphs or tables are in the PDF. Numbered comprehension questions can include several subquestions. Answer keys are included for checking your attempt; these are not full worked solutions.
Topics covered in this collection
- Linear classifiers and decision boundaries
- Perceptron updates and mistake bounds
- Logistic regression
- Zero-one loss and classification thresholds
How to approach these questions
- Check whether the question uses labels in {0, 1} or {-1, +1} before applying a prediction rule.
- Relate the direction of the weight vector to the normal of the decision boundary.
- Identify the margin and the maximum input norm before using a perceptron mistake bound.
Attempt the questions using the assumptions and notation stated in each problem. For short-answer questions, round only at the final step to the requested precision. Check the provided key after solving and revisit the relevant concept when an answer differs.