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cs.LG2025
ECLipsE-Gen-Local: Efficient Compositional Local Lipschitz Estimates for Deep Neural Networks
Yuezhu Xu, S. Sivaranjani
The Lipschitz constant is a key measure for certifying the robustness of neural networks to input perturbations. However, computing the exact constant is NP-hard, and standard appr…
cs.LG2024
ECLipsE: Efficient Compositional Lipschitz Constant Estimation for Deep Neural Networks
Yuezhu Xu, S. Sivaranjani
The Lipschitz constant plays a crucial role in certifying the robustness of neural networks to input perturbations. Since calculating the exact Lipschitz constant is NP-hard, effor…
cs.LG2023★ 3 cited
Learning Dissipative Neural Dynamical Systems
Yuezhu Xu, S. Sivaranjani
Consider an unknown nonlinear dynamical system that is known to be dissipative. The objective of this paper is to learn a neural dynamical model that approximates this system, whil…