3 papers
math.DG2025
Hausdorff Stability of the Cut Locus Under -Perturbations of the Metric
Aritra Bhowmick, Jin-ichi Itoh, Sachchidanand Prasad
In this article, we prove the stability with respect to the Hausdorff metric of the cut locus of a point in a compact Riemannian manifold…
math.DG2024
Distance from a Finsler Submanifold to its Cut Locus and the Existence of a Tubular Neighborhood
Aritra Bhowmick, Sachchidanand Prasad
In this article we prove that for a closed, not necessarily compact, submanifold of a possibly non-complete Finsler manifold , the cut time map is always positive. As a…
cs.LG2021
LipBaB: Computing exact Lipschitz constant of ReLU networks
Aritra Bhowmick, Meenakshi D'Souza, G. Srinivasa Raghavan
The Lipschitz constant of neural networks plays an important role in several contexts of deep learning ranging from robustness certification and regularization to stability analysi…