About the Workshop
- This workshop’s primary objective is to connect diverse research communities and foster collaboration for the advancement of a compositional theory of decision making. As engineered systems grow in scale, heterogeneity, and interdependence, compositional approaches are becoming essential for principled design, analysis, and control.
- This workshop is open to participants from a wide range of backgrounds and experience levels, and is intended to be accessible to both newcomers and seasoned researchers. Attendees will gain insight into how applied category theory can be used as a practical language for reasoning about complex, interconnected decision-making problems.
- The program will feature tutorial-style introductions alongside research talks that highlight successful applications of categorical and compositional methods in control, dynamical systems, and networked and multi-agent systems. Distinguished speakers will present concrete tools, modeling frameworks, and case studies demonstrating how these ideas can be deployed in real-world engineering contexts.
- In addition to showcasing current results, this workshop aims to stimulate discussion around open challenges and emerging directions at the intersection of applied category theory and control, while continuing to build an interdisciplinary community around compositional approaches to decision making.
Speakers
Gioele Zardini
MIT
James Fairbanks
University of Florida
Aaron Ames
Caltech
Hans Riess
Georgia Tech
Joe Moeller
Caltech
Nikolai Matni
Penn
Workshop Schedule
8:45am - 9:00am
15 min
Introduction
Gioele, Aaron, Fairbanks
Introduction to the workshop and motivation.
9:00am - 9:45am
45 min
Tutorial: Applied Category Theory
Gioele
Abstract
Abstract and slides coming soon...
9:45am - 10:30am
45 min
Tutorial: Applied Sheaf Theory
Hans
Abstract
Abstract and slides coming soon...
10:30am - 11:00am
30min
Coffee Break & Networking
Open Discussion
Networking opportunity and informal discussions.
11:00am - 11:30am
30 min
Category Theory in Control
Aaron
Abstract
Abstract and slides coming soon...
11:30am - 12:00pm
30 min
Control Coalgebras and Barrier Morphisms
Joe
Abstract
Abstract and slides coming soon...
12:00pm - 12:30pm
30 min
Compositional Design of Layered Control Architectures
Nikolai
Abstract
Abstract and slides coming soon...
12:30pm - 1:00pm
30 min
Compositional Design of Networked Systems
James
Abstract
Abstract and slides coming soon...