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#Hypergraphs

Showing: 29 courses
Dr Trefor Bazett

The Bunkbed Conjecture Debunked - A Counterexample with 7222 Vertices

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Explore a groundbreaking development in probabilistic graph theory in this 15-minute video by Dr. Trefor Bazett. Learn about the recent disproval of the famous bunkbed conjecture, featuring a surprising counterexample with 7,222 vertices. Delve into the…
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1 Lesons
15 minutes
On-Demand
Free-Video
Association for Computing Machinery (ACM)

DHMAE: A Disentangled Hypergraph Masked Autoencoder for Group Recommendation - Lecture 4

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Explore a novel approach to group recommendation using disentangled hypergraph masked autoencoders, enhancing accuracy and efficiency in collaborative filtering systems.
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1 Lesons
10 minutes
On-Demand
Free-Video
Institute for Advanced Study

Introduction to High Dimensional Expanders - Irit Dinur

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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.
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8 Lesons
1 hour 51 minutes
On-Demand
Free-Video
International Mathematical Union

Asaf Shapira - Local vs Global Combinatorics

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Explore extremal combinatorics through the Brown-Erdős-Sós conjecture, hypergraph theory, and removal lemmas. Gain insights into local-global principles and their applications in mathematics.
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18 Lesons
46 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Applied Topology for Discrete Structures

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Explore topological concepts applied to discrete structures modeling real data, bridging network science and applied topology for innovative analysis of complex systems.
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1 Lesons
59 minutes
On-Demand
Free-Video
Simons Institute

Applications in Extremal Combinatorics - Lecture 2

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Explore advanced concepts in extremal combinatorics, focusing on analytical techniques and their applications in theoretical computer science.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Institute

Applications in Extremal Combinatorics - Lecture 1

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Explore advanced concepts in extremal combinatorics, focusing on analytical techniques and their applications in theoretical computer science.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Simons Institute

Higher-Dimensional Expansion of Random Geometric Complexes

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Explores 2-dimensional spectral expansion in hypergraphs, demonstrating that triangles in high-dimensional random geometric graphs form expanding simplicial complexes of low polynomial degree.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
IEEE

New Notions and Constructions of Sparsification for Graphs and Hypergraphs

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Explore innovative concepts and techniques for graph and hypergraph sparsification, advancing understanding of network structures and algorithms in computer science.
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1 Lesons
22 minutes
On-Demand
Free-Video
NCCR SwissMAP

Integrality Gaps for Vertex Covers on Sparse Bernoulli Hypergraphs

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Explore integrality gaps for vertex covers on sparse Bernoulli hypergraphs with insights from ETH Zurich researcher D. Dmitriev.
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1 Lesons
15 minutes
On-Demand
Free-Video
Institute for Advanced Study

Quasipolynomial Bounds for Some Problems in Extremal Combinatorics

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Explore quasipolynomial bounds in extremal combinatorics with Zander Kelley, examining key problems and recent advancements in this mathematical field.
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1 Lesons
17 minutes
On-Demand
Free-Video
Simons Institute

Online Algorithms for Spectral Hypergraph Sparsification

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Explore online algorithms for spectral hypergraph sparsification, focusing on space-efficient methods for handling streaming hyperedges and producing accurate sparsifiers.
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1 Lesons
32 minutes
On-Demand
Free-Video
Simons Institute

Sparsification: Graphs, CSPs and Codes - Sublinear Graph Simplification

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Explore graph sparsification, CSP compression, and code sparsification techniques. Learn about cutting-edge research in sublinear graph simplification and its applications to various domains.
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1 Lesons
49 minutes
On-Demand
Free-Video
Simons Institute

Cut Sparsification and Succinct Representation of Submodular Hypergraphs

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Explore cut sparsification of hypergraphs, focusing on submodular functions. Learn about new bounds, polynomial bounds, and succinct representation techniques for various submodular function families.
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1 Lesons
37 minutes
On-Demand
Free-Video
BIMSA

Finite Hypergraph Families with Rich Extremal Turan Constructions via Mixing Patterns

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Explore finite hypergraph families and their extremal Turán constructions through mixing patterns. Gain insights into combinatorics and discrete structures from a renowned expert.
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1 Lesons
58 minutes
On-Demand
Free-Video
BIMSA

Hypertrees in Combinatorics and Graph Theory

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Explore hypertrees with Professor Nati Linial, delving into combinatorics, algorithms, and their applications in computer science and mathematics.
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1 Lesons
1 hour
On-Demand
Free-Video
BIMSA

A Proof of the Erdos-Faber-Lovasz Conjecture

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Explore the recent proof of the Erdos-Faber-Lovasz conjecture and its generalization, delving into linear hypergraphs and chromatic index concepts.
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1 Lesons
46 minutes
On-Demand
Free-Video
BIMSA

Hypergraph Bipartite Turan Problems

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Explore recent findings on hypergraph bipartite Turan problems, including solutions to challenges posed by prominent researchers in the field.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Structures Robust Under Randomness - Probabilistic Combinatorics and Thresholds

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Explore robustness of discrete system substructures under random subsampling, examining thresholds in random graphs and key conjectures in probabilistic combinatorics.
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1 Lesons
54 minutes
On-Demand
Free-Video
BIMSA

Hypergraph Bipartite Turan Problems

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Explore recent findings on hypergraph bipartite Turan problems, including solutions to challenges posed by prominent researchers in the field.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Toward a Density Corradi-Hajnal Theorem for Degenerate Hypergraphs - ICBS 2024

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Explore density Corrádi-Hajnal theorem for degenerate hypergraphs, examining extremal constructions across intervals and characterizing them for graphs and specific nondegenerate hypergraphs.
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1 Lesons
42 minutes
On-Demand
Free-Video
The Julia Programming Language

Convex Network Flows - Optimization Framework and Applications

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Introducing a general framework for modeling flow problems over hyper graphs, with applications in network optimization, power flow, and wireless networks. Includes fast, parallelizable algorithm implementation in Julia.
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1 Lesons
25 minutes
On-Demand
Free-Video
Sabine Hossenfelder

Wolfram's Hypergraphs - A New Approach to Unified Physics Theory

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Explore how Stephen Wolfram's revolutionary approach using hypergraphs and computer code could potentially unify fundamental physics laws and resolve conflicts with Einstein's theories.
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1 Lesons
12 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Tropical Solutions to Hard Problems in Auction Theory and Neural Networks - Lecture II

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Explore tropical mathematics and its applications in neural networks, auction theory, and more, focusing on key ideas of tropical objects as limits and their polyhedral geometry.
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11 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Graph Representation Learning and Its Applications to Biomedicine

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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.
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24 Lesons
1 hour
On-Demand
Free-Video
IEEE

The Average-Case Complexity of Counting Cliques in Erdos-Renyi Hypergraphs

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Explore average-case complexity of counting cliques in Erdos-Renyi hypergraphs, covering proof techniques, random KQ accounting, and binary expansions.
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11 Lesons
18 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Performance and Limitations of QAOA at Constant Levels on Large Sparse Hypergraphs and Spin Glass Models

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Delve into quantum algorithm analysis, exploring QAOA's performance limitations on large hypergraphs and spin glass models through theoretical frameworks and mathematical proofs.
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11 Lesons
26 minutes
On-Demand
Free-Video
ACM SIGPLAN

Formal Probabilistic Methods for Combinatorial Structures using the Lovász Local Lemma

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Explore formal probabilistic methods for combinatorial structures, focusing on the Lovász Local Lemma and its application to hypergraph coloring in Isabelle/HOL.
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1 Lesons
32 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometry of Nonequilibrium Reaction Networks

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Explore geometric interpretations of nonequilibrium reaction networks, extending Hill-Schnakenberg theory to hypergraphs and analyzing cycles, cocycles, and stochastic models.
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1 Lesons
58 minutes
On-Demand
Free-Video