Concentration on HDX: Derandomization Beyond Chernoff - Lecture
Offered By: Institute for Advanced Study via YouTube
Course Description
Overview
Explore a cutting-edge computer science and discrete mathematics seminar on concentration bounds and derandomization techniques. Delve into the evolution of Chernoff's bound, from the Expander-Chernoff Theorem to high-dimensional expanders (HDX). Examine the limitations of expander walks for higher degree functions and discover how HDX offer a solution for achieving stronger concentration results. Investigate the implications of these advancements for agreement testing, probabilistically checkable proofs (PCPs), and reverse hypercontractivity. Learn about the latest research closing the gap between HDX and complete hypergraph concentration bounds, presented by Max Hopkins from the Institute for Advanced Study.
Syllabus
Concentration on HDX: Derandomization Beyond Chernoff - Max Hopkins
Taught by
Institute for Advanced Study
Related Courses
Randomized Methods in ComplexityIndian Institute of Technology Kanpur via Swayam Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization - Lijie Chen
Institute for Advanced Study via YouTube Expander Graph Application 2: Derandomization - Lecture 16c of CS Theory Toolkit
Ryan O'Donnell via YouTube Strong Average-Case Circuit Lower Bounds from Non-trivial Derandomization
Association for Computing Machinery (ACM) via YouTube High-Precision Estimation of Random Walks in Small Space
IEEE via YouTube