5 papers
Heterogeneous Multi-Agent Multi-Target Tracking using Cellular Sheaves
Tyler Hanks, Cristian F. Nino, Joana Bou Barcelo +3
Multi-agent target tracking in the presence of nonlinear dynamics and agent heterogeneity, where state-space dimensions may differ, is a challenging problem that traditional graph…
Asynchronous Nonlinear Sheaf Diffusion for Multi-Agent Coordination
Yichen Zhao, Tyler Hanks, Hans Riess +3
Cellular sheaves and sheaf Laplacians provide a far-reaching generalization of graphs and graph Laplacians, resulting in a wide array of applications ranging from machine learning…
Generalized Gradient Descent is a Hypergraph Functor
Tyler Hanks, James Fairbanks, Matthew Klawonn
Cartesian reverse derivative categories (CRDCs) provide an axiomatic generalization of the reverse derivative, which allows generalized analogues of classic optimization algorithms…
Distributed Multi-agent Coordination over Cellular Sheaves
Tyler Hanks, Hans Riess, Samuel Cohen +3
Techniques for coordination of multi-agent systems are vast and varied, often utilizing purpose-built solvers or controllers with tight coupling to the types of systems involved or…
GATlab: Modeling and Programming with Generalized Algebraic Theories
Owen Lynch, Kris Brown, James Fairbanks +1
Categories and categorical structures are increasingly recognized as useful abstractions for modeling in science and engineering. To uniformly implement category-theoretic mathemat…