Hypergraphs Courses and Certifications

Applied Algebraic Topology Network

Homology of Graphs and Hypergraphs

Explore topological structures of graphs and hypergraphs, including recent findings on homology and persistent homology, with applications in combinatorial and metric space analysis.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

International Mathematical Union

Restricted Extremal Problems in Hypergraphs

Exploration of extremal problems in 3-uniform hypergraphs, focusing on restricted variants motivated by quasirandom hypergraphs. Discusses recent progress and a unifying framework for these challenging mathematical problems.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Finding Perfect Matchings in Bipartite Hypergraphs

Explore efficient algorithms for finding perfect matchings in bipartite hypergraphs, extending Haxell's condition and the Hungarian algorithm to hypergraph structures.

• YouTube
• 29 minutes
• On-Demand
• Free Video

Association for Computing Machinery (ACM)

Extractors for Adversarial Sources via Extremal Hypergraphs

Explore advanced techniques in randomness extraction and their applications in cryptography, focusing on adversarial sources and extremal hypergraphs.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Simons Institute

Service Rates of MDS Codes and Fractional Matchings in Quasi-Uniform Hypergraphs

Explore distributed system performance metrics through service rate regions of MDS codes, connecting them to fractional matching polytopes in quasi-uniform hypergraphs for improved data storage and retrieval.

• YouTube
• 47 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Data Analysis Using Zigzag Persistence for Temporal Hypergraphs

Explore temporal hypergraphs and zigzag persistence in Topological Data Analysis to understand complex systems' evolution, with applications in cybersecurity and social networks.

• YouTube
• 1 hour
• On-Demand
• Free Video

Dr Trefor Bazett

The Bunkbed Conjecture Debunked - A Counterexample with 7222 Vertices

Explore the recent disproval of the famous bunkbed conjecture in probabilistic graph theory, featuring a counterexample with 7222 vertices and its implications.

• YouTube
• 15 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Introduction to High Dimensional Expanders - Irit Dinur

Explore high dimensional expanders with Irit Dinur, covering random walks, spectral expansion, and hypergraphs. Gain insights into this advanced topic in discrete mathematics and computer science.

• YouTube
• 1 hour 51 minutes
• On-Demand
• Free Video

Valence Labs

Topological Deep Learning: Going Beyond Graph Data

Explore topological deep learning for data on complex domains. Learn about message passing, neighborhood functions, and combinatorial complex neural networks for advanced machine learning applications.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

CMU Database Group

Multi-Way Join Algorithms and Worst-Case Optimal Joins - Lecture 10

Explore advanced multi-way join algorithms and worst-case optimal joins for database systems, enhancing query performance and efficiency.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

CMU Database Group

Multi-Way and Worst-Case Optimal Join Algorithms - Lecture 13

Explore advanced multi-way join algorithms and worst-case optimal techniques for efficient query processing in database systems.

• YouTube
• 38 minutes
• On-Demand
• Free Video

Discover AI

Agentic HyperGraphRAG with Reinforcement Learning - Graph-R1

Discover how Graph-R1 revolutionizes RAG through reinforcement learning agents that navigate knowledge hypergraphs for superior retrieval and complex reasoning beyond traditional methods.

• YouTube
• 28 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Graph Representation Learning and Its Applications to Biomedicine

Graph representation learning techniques for biomedical applications, focusing on SubGNN for disentangled subgraph embeddings and their use in predicting disease treatments and safe drug combinations.

• YouTube
• 1 hour
• On-Demand
• Free Video

Simons Institute

Applications in Extremal Combinatorics - Lecture 2

Explore advanced concepts in extremal combinatorics, focusing on analytical techniques and their applications in theoretical computer science.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Simons Institute

Applications in Extremal Combinatorics - Lecture 1

Explore advanced concepts in extremal combinatorics, focusing on analytical techniques and their applications in theoretical computer science.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video