1 citations · 1 across the 6 of their papers we have counts for
6 papers
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…
Porous Convection in the Discrete Exterior Calculus with Geometric Multigrid
Luke Morris, George Rauta, Kevin Carlson +1
The discrete exterior calculus (DEC) defines a family of discretized differential operators which preserve certain desirable properties from the exterior calculus. We formulate and…
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…
A Compositional Framework for First-Order Optimization
Tyler Hanks, Matthew Klawonn, Evan Patterson +2
Optimization decomposition methods are a fundamental tool to develop distributed solution algorithms for large scale optimization problems arising in fields such as machine learnin…
Decapodes: A Diagrammatic Tool for Representing, Composing, and Computing Spatialized Partial Differential Equations
Luke Morris, Andrew Baas, Jesus Arias +3
We present Decapodes, a diagrammatic tool for representing, composing, and solving partial differential equations. Decapodes provides an intuitive diagrammatic representation of th…
The diagrammatic presentation of equations in categories
Kevin Arlin, James Fairbanks, Tim Hosgood +1
Lifts of categorical diagrams against discrete opfibrations can be interpreted as presenting solutions to systems…