Semidefinite Programming: Formulations and Applications

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Related lectures (53)

Introduction to Shortest Path Log in to Mediaspace to watch this video

Introduces the concept of shortest path, discussing weighted paths, Hamiltonian paths, and path optimization algorithms.

Assembly: Mechanism Theory Log in to Mediaspace to watch this video

Covers the problem statement of assembly, precision requirements, common couplings, stability, and spatial vectors.

Dijkstra's Algorithm and Shortest Path Log in to Mediaspace to watch this video

Covers Dijkstra's algorithm for shortest path problems and its application in ALL-TO-ONE and ALL-PAIRS algorithms.

Connectivity-Informed Brain Activity Interpretation Log in to Mediaspace to watch this video

Explores integrating brain connectivity to decode and interpret brain activity using graph signal processing and spectral residual networks.

Minimum Spanning Trees Log in to Mediaspace to watch this video

Covers the implementation and analysis of disjoint sets data structure and introduces the concept of minimum spanning trees.

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.

Reformulating Problems: Tools and Intuition Log in to Mediaspace to watch this video

Focuses on open problems and the importance of reformulating problems with better tools and intuition.

Shortest Paths: Negative Weights Log in to Mediaspace to watch this video

Explores Bellman-Ford algorithm for negative weight graphs and currency exchange rates.

Statistical analysis of network data Log in to Mediaspace to watch this video

Covers stochastic properties, network structures, models, statistics, centrality measures, and sampling methods in network data analysis.

Message passing in graphical models Log in to Mediaspace to watch this video

Explains message passing in graphical models and the matching problem in graph theory.

Graph Sketching: Connected Components Log in to Mediaspace to watch this video

Covers the concept of graph sketching with a focus on connected components.

Cheeger's Inequalities Log in to Mediaspace to watch this video

Explores Cheeger's inequalities for random walks on graphs and their implications.

Belief Propagation on Graphs Log in to Mediaspace to watch this video

Explores belief propagation on graphs, emphasizing normalization, recursive relations, and iterative computation of the partition function.

Dynamic Programming: Knapsack Log in to Mediaspace to watch this video

Explores dynamic programming for the Knapsack problem, discussing strategies, algorithms, NP-hardness, and time complexity analysis.

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.

Distances and Motif Counts Log in to Mediaspace to watch this video

Explores distances on graphs, cut norms, spanning trees, blockmodels, metrics, norms, and ERGMs in network data analysis.

Semi-Definite Programming Log in to Mediaspace to watch this video

Covers semi-definite programming and optimization over positive semidefinite cones.

Embedding Graphs into Trees Log in to Mediaspace to watch this video

Covers embedding graphs into trees with a focus on minimizing distortion and Bartal Tree embeddings.

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.

Handshake Problem: Graph Representation Log in to Mediaspace to watch this video

Explores a classic handshake problem at a party using graph representation.

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