IITM MLT Week 10 Questions
Hard-margin Support Vector Machines
Week 10 question PDF
Practice finding separating hyperplanes and interpreting support vectors. The questions connect the geometric margin, the norm of the weight vector and the dual variables of a hard-margin SVM.
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
- Hard-margin SVM and linear separability
- Supporting hyperplanes and margin width
- Support vectors
- Primal and dual SVM formulations
How to approach these questions
- Distinguish the distance to one supporting hyperplane from the full width between the two hyperplanes.
- Identify which points satisfy the margin equality before deciding which are support vectors.
- Keep the label convention and bias term consistent when evaluating constraints.
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.