Geodesically Convex Optimization - Can We Prove P!=NP Using Gradient Descent - Avi Wigderson
Institute for Advanced Study via YouTube
Overview
This course covers the topic of Geodesically Convex Optimization and explores the question of whether P can be proven to be different from NP using gradient descent. The course aims to teach the skills of understanding geodesically convex optimization, analyzing the matching problem, and implementing alternate minimization algorithms. The teaching method involves lectures and analysis of specific algorithms. This course is intended for individuals interested in computer science, discrete mathematics, and optimization theory.
Syllabus
Intro
Project Outline
Perfect Matching
Symbolic Matrix
Dual Life
Matching Problem
Alternate minimization algorithm
Analysis
The real problem
Quantizing the problem
Meaning of the problem
Invariants
Taught by
Institute for Advanced Study