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math.OC2024
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…
math.OC2023
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…