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math.OC2022★ 6 cited
Analysis of Gradient Descent with Varying Step Sizes using Integral Quadratic Constraints
Ram Padmanabhan, Peter Seiler
The framework of Integral Quadratic Constraints (IQCs) is used to perform an analysis of gradient descent with varying step sizes. Two performance metrics are considered: convergen…
math.OC2022
Revisiting PGD Attacks for Stability Analysis of Large-Scale Nonlinear Systems and Perception-Based Control
Aaron Havens, Darioush Keivan, Peter Seiler +2
Many existing region-of-attraction (ROA) analysis tools find difficulty in addressing feedback systems with large-scale neural network (NN) policies and/or high-dimensional sensing…