Practice - Constrained Optimization
Practice Questions
Test your understanding with targeted questions
What is the purpose of Lagrange Multipliers in optimization?
💡 Hint: Think about transforming a constrained problem.
What does KKT stand for?
💡 Hint: Recall the two names in the acronym.
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Interactive Quizzes
Quick quizzes to reinforce your learning
What do Lagrange Multipliers help us with?
💡 Hint: Think about their utility in optimization.
True or False: KKT conditions can be applied only to problems with equality constraints.
💡 Hint: Revisit the definition of KKT conditions.
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Challenge Problems
Push your limits with advanced challenges
You are tasked with developing a machine learning model with a fairness constraint – ensure that the model does not discriminate based on gender. Apply KKT conditions to outline your approach.
💡 Hint: Think about how to formalize fairness in terms of a mathematical model.
How would you implement Projected Gradient Descent with a budget constraint in an optimization problem? Describe the key steps.
💡 Hint: Focus on both the gradient descent step and the projection process.
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Reference links
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