46 citations · 64 across the 17 of their papers we have counts for
19 papers
Choice Paralysis in Evolutionary Games
Brendon G. Anderson
In this paper, we consider finite-strategy approximations of infinite-strategy evolutionary games. We prove that such approximations converge to the true dynamics over finite-time…
Approximately Gaussian Replicator Flows: Nonconvex Optimization as a Nash-Convergent Evolutionary Game
Brendon G. Anderson, Samuel Pfrommer, Somayeh Sojoudi
This work leverages tools from evolutionary game theory to solve unconstrained nonconvex optimization problems. Specifically, we lift such a problem to an optimization over probabi…
Transport of Algebraic Structure to Latent Embeddings
Samuel Pfrommer, Brendon G. Anderson, Somayeh Sojoudi
Machine learning often aims to produce latent embeddings of inputs which lie in a larger, abstract mathematical space. For example, in the field of 3D modeling, subsets of Euclidea…
Evolutionary Games on Infinite Strategy Sets: Convergence to Nash Equilibria via Dissipativity
Brendon G. Anderson, Jingqi Li, Somayeh Sojoudi +1
We consider evolutionary dynamics for population games in which players have a continuum of strategies at their disposal. Models in this setting amount to infinite-dimensional diff…
Mixing Classifiers to Alleviate the Accuracy-Robustness Trade-Off
Yatong Bai, Brendon G. Anderson, Somayeh Sojoudi
Deep neural classifiers have recently found tremendous success in data-driven control systems. However, existing models suffer from a trade-off between accuracy and adversarial rob…
Tight Certified Robustness via Min-Max Representations of ReLU Neural Networks
Brendon G. Anderson, Samuel Pfrommer, Somayeh Sojoudi
The reliable deployment of neural networks in control systems requires rigorous robustness guarantees. In this paper, we obtain tight robustness certificates over convex attack set…