Applied Algebraic Topology Network Courses

Quantum Topological Data Analysis - Part 1

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Learn how quantum computers can identify patterns in data, reducing execution time and energy consumption, in this tutorial by the Applied Algebraic Topology Network.

• YouTube
• 26 minutes
• On-Demand
• Free Online Course

Michael Bronstein: Physics-Inspired Graph Neural Networks

Explore physics-inspired graph neural networks with the Applied Algebraic Topology Network. Dive into differential geometry, algebraic topology, and differential equations in 1-2 hours.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Online Course

Stabilizing Decomposition of Multiparameter Modules

Explore the complexities of multiparameter module decomposition with Applied Algebraic Topology Network. Gain insights into recent work and potential conjectures in less than an hour.

• YouTube
• 46 minutes
• On-Demand
• Free Online Course

Urysohn Width

Explore the Urysohn width concept, its history, and application in dimension theory with this less than 1-hour material from the Applied Algebraic Topology Network.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Gunnar Carlsson: Topological Deep Learning

Explore topological data analysis in machine learning with the Applied Algebraic Topology Network. Learn to reduce data needs and increase computation transparency, focusing on image and video data.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

Data Complexes, Obstructions, Persistent Data Merging

Explore the mathematical foundation of data-alignment tools with the Applied Algebraic Topology Network. Learn about database JOIN operations, topological obstructions, and data complexes in under an hour.

• YouTube
• 54 minutes
• On-Demand
• Free Online Course

Robert Ghrist - Laplacians and Network Sheaves

Explore cellular sheaves, Laplacians, and their applications in social networks with this 1-2 hour material from the Applied Algebraic Topology Network.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Online Course

The Gromov-Hausdorff Distance Between Spheres

Explore the Gromov-Hausdorff distance between spheres with the Applied Algebraic Topology Network. Learn to calculate precise values in less than an hour.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

Yulia Gel - Topological Clustering of Multilayer Networks

Explore topological clustering of multilayer networks with Applied Algebraic Topology Network. Learn to model interdependent systems, quantify node neighborhoods, and apply to real-world data.

• YouTube
• 51 minutes
• On-Demand
• Free Online Course

Musing About Robotic Football

Explore the intersection of robotics and football with the Applied Algebraic Topology Network. Delve into modelling, non-fibrations, speed, and sensing in a 1-2 hour study.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Online Course

How Optimal Transport Can Help Us to Determine Curvature of Complex Networks

Explore how optimal transport determines curvature of complex networks with the Applied Algebraic Topology Network. Learn about Ollivier Ricci curvature, network analysis, and hypergraphs in under 1 hour.

• YouTube
• 56 minutes
• On-Demand
• Free Online Course

Graph Representation Learning and Its Applications to Biomedicine

Explore graph representation learning with a focus on biomedicine applications in this less than 1-hour material by the Applied Algebraic Topology Network. Learn about SubGNN, a subgraph neural network, and its impact on disease treatments.

• YouTube
• 1 hour
• On-Demand
• Free Online Course

Liquid Crystals Dynamics - What Persistent Homology Reveals

Explore the complex phase dynamics of liquid crystals using persistent homology in this under 1-hour material from the Applied Algebraic Topology Network.

• YouTube
• 57 minutes
• On-Demand
• Free Online Course

Topological Complexity of Pure Graph Braid Groups

Explore the topological complexity of pure graph braid groups with Ben Knudsen in this less than 1-hour session by Applied Algebraic Topology Network. Delve into Farber's theorem and configuration spaces.

• YouTube
• 56 minutes
• On-Demand
• Free Online Course

Nonlinear Dynamics in an Age of Heuristic Science

Explore nonlinear dynamics in systems and synthetic biology with the Applied Algebraic Topology Network. Learn combinatorial topology for efficient computation in under an hour.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course