111 citations · 115 across the 7 of their papers we have counts for
9 papers
Riemannian ascent--descent for nonconvex nonconcave minimax landscapes: convergence to basin saddle points and applications to distributionally robust optimization
Rishabh Dixit, Pranav Upadrashta, Alex Cloninger
We study a class of distributionally robust optimization (DRO) problems for the statistical risk problem, formulated as minimax problems over the product of a Euclidean space and a…
The Measure of Deception: An Analysis of Data Forging in Machine Unlearning
Rishabh Dixit, Yuan Hui, Rayan Saab
Motivated by privacy regulations and the need to mitigate the effects of harmful data, machine unlearning seeks to modify trained models so that they effectively ``forget'' designa…
RESIST: Resilient Decentralized Learning Using Consensus Gradient Descent
Cheng Fang, Rishabh Dixit, Waheed U. Bajwa +2
Empirical risk minimization (ERM) is a cornerstone of modern machine learning. This paper focuses on the man-in-the-middle (MITM) attack, wherein adversaries exploit communication…
Accelerated Gradient Methods for Nonconvex Optimization: Escape Trajectories From Strict Saddle Points and Convergence to Local Minima
Rishabh Dixit, Mert Gurbuzbalaban, Waheed U. Bajwa
This paper considers the problem of understanding the behavior of a general class of accelerated gradient methods on smooth nonconvex functions. Motivated by some recent works that…
Boundary Conditions for Linear Exit Time Gradient Trajectories Around Saddle Points: Analysis and Algorithm
Rishabh Dixit, Mert Gurbuzbalaban, Waheed U. Bajwa
Gradient-related first-order methods have become the workhorse of large-scale numerical optimization problems. Many of these problems involve nonconvex objective functions with mul…
Exit Time Analysis for Approximations of Gradient Descent Trajectories Around Saddle Points
Rishabh Dixit, Mert Gurbuzbalaban, Waheed U. Bajwa
This paper considers the problem of understanding the exit time for trajectories of gradient-related first-order methods from saddle neighborhoods under some initial boundary condi…