Lecture
Optimal Transport: Kantorovich Duality
Related lectures (42)
Bernoulli convolutions: The dimension of Bernoulli convolutions
Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.
Controlled Stochastic Processes
Explores controlled stochastic processes, focusing on analysis, behavior, and optimization, using dynamic programming to solve real-world problems.
Graphical Models: Representing Probabilistic Distributions
Covers graphical models for probabilistic distributions using graphs, nodes, and edges.
Quantum Random Number Generation
Explores quantum random number generation, discussing the challenges and implementations of generating good randomness using quantum devices.
Introduction to Structural Mechanics
Covers beams with distributed and concentrated forces, bending moment, shear force, and internal load diagrams.
Optimal Transport: Cyclically Monotone Sets
Covers cyclically monotone sets in optimal transport theory and their properties.
Approximation Algorithms
Covers approximation algorithms for optimization problems, LP relaxation, and randomized rounding techniques.
Interval Estimation: Method of Moments
Covers the method of moments for estimating parameters and constructing confidence intervals based on empirical moments matching distribution moments.
Sparsest Cut: ARV Theorem
Covers the proof of the Bourgain's ARV Theorem, focusing on the finite set of points in a semi-metric space and the application of the ARV algorithm to find the sparsest cut in a graph.
Statistical Physics IV: Lecture I
Introduces the grading system, homework policy, and course materials for Statistical Physics IV.