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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.
Explore higher topological complexity of a map with César Zapata in this under 1-hour material from Applied Algebraic Topology Network, relevant for r-multitasking motion planning.
Explore the computational framework for Principal Geodesic Analysis of merge trees with this less than 1-hour material from Applied Algebraic Topology Network. Learn efficient, iterative algorithms and applications.
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.
Explore the intriguing behavior of "topological noise" in a circle with the Applied Algebraic Topology Network. Understand how higher Betti numbers become arbitrarily large in certain intervals.
Explore Triangulated Persistence Categories and their K-Theory with Paul Biran in this less than 1-hour material from Applied Algebraic Topology Network. Dive into algebraic and geometric applications.
Explore the topological complexity of Seifert fibered manifolds in a short talk by the Applied Algebraic Topology Network, offering insights into LS-category computation and cohomology class weights.
Explore the application of Merge Trees in data analysis with Matteo Pegoraro from the Applied Algebraic Topology Network. Learn about their use in functional data analysis and medical imaging.
Learn to generalize persistent homology for point clouds with additional information, like color, in less than an hour with Applied Algebraic Topology Network.
Explore multi-parameter persistent homology for data classification and clustering in this Applied Algebraic Topology Network offering. Learn to reduce computational complexity and improve supervised learning.
Explore the role of topology in digital sound synthesis with this brief, insightful talk from the Applied Algebraic Topology Network. Learn about oscillatory algorithms, transport simulations, and more.
Explore topological descriptors and their role in shape comparison with this less than 1-hour material from Applied Algebraic Topology Network. Delve into augmented and non-augmented descriptors, and open questions.
Explore the reconstruction of hidden geometric structures in data from distance matrices with the Applied Algebraic Topology Network. Dive into theory, applications, and open problems in 1-2 hours.
Explore manifold reconstruction and Latschev's Theorem in this short program by the Applied Algebraic Topology Network. Gain insights into topological data analysis and manifold learning.
Explore topological descriptors and their applications in visualization and computer graphics with the Applied Algebraic Topology Network. Learn efficient parallel algorithms and scalable computation in less than an hour.
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