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Lecture plan:
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Office Hours Information
Lecture 1: Course introduction and puzzles (Slides)
Lecture 2: Importance of problem structure (Slides)
Lecture 3: f-divergence and joint range (Slides)
Lecture 4-6: General idea of reduction
Lecture 4: Decision theory, deficiency, Le Cam’s distance, asymptotic equivalence (Slides)
Lecture 5: Hajek-Le Cam classical asymptotics (Slides)
Lecture 6: Statistical/computational tradeoff (Slides) (Scribed Notes)
Lecture 7-12: General idea of testing
Lecture 7: Le Cam’s two-point method (Slides)
Lecture 8: One point vs a mixture, Ingster-Suslina method (Slides)
Lecture 9: Mixture vs mixture, orthogonal polynomial, moment matching (Slides)
Lecture 10: Testing multiple hypotheses: Fano and Assouad (Slides)
Lecture 11: Examples of Fano and Assouad (Slides)
Lecture 12: Global Fano, packing and covering (Slides) (Scribed Notes)
Lecture 13+: Special topics (chosen by time and interest)
Lecture 13: Lower bounds in convex optimization (Slides)
Lecture 14: Communication or privacy constrained estimation and testing (Slides)
Lecturw 15: Compression-based techniques for scandiction
Lecture 16: Information-Theoretic Bounds in Information Theory (Slides)
Lecture 17: Min-max vs max-min techniques (Slides)
Lecture 18: Adaptation lower bounds (Slides)
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