Markov Chains: Applications and Analysis

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Related lectures (31)

Graphical Models: Probability Distributions and Factor Graphs Log in to Mediaspace to watch this video

Covers graphical models for probability distributions and factor graphs representation.

Graph Coloring: Basics and Applications Log in to Mediaspace to watch this video

Covers the basics and applications of graph coloring, including balancing vectors and achieving perfect fairness.

Graph Theory Basics Log in to Mediaspace to watch this video

Introduces graph theory basics, Ramsey theory, and graph coloring concepts.

Sparsest Cut: ARV Theorem Log in to Mediaspace to watch this video

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.

Interlacing Families and Ramanujan Graphs Log in to Mediaspace to watch this video

Explores interlacing families of polynomials and 1-sided Ramanujan graphs, focusing on their properties and construction methods.

Interlacing Families and Ramanujan Graphs Log in to Mediaspace to watch this video

Explores interlacing families, Ramanujan graphs, and their construction using signed adjacency matrices.

Szemerédi Regularity Lemma Log in to Mediaspace to watch this video

Explores the Szemerédi Regularity Lemma, e-regularity in bipartite graphs, supergraph structure, and induction techniques.

Graph Theory Fundamentals Log in to Mediaspace to watch this video

Explores fundamental graph theory concepts, Erdős' results, Chromatic Lemma, and Union Bound theorem in graph theory.

Bellman-Ford Algorithm: Shortest Path Log in to Mediaspace to watch this video

Provides an example of the Bellman-Ford algorithm for finding the shortest path in a graph.

Probability & Stochastic Processes Log in to Mediaspace to watch this video

Covers applied probability, stochastic processes, Markov chains, rejection sampling, and Bayesian inference methods.

Bellman Ford: Shortest Paths Log in to Mediaspace to watch this video

Introduces the Bellman-Ford algorithm for finding shortest paths in directed graphs with edge weights.

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