From the 1 of 5 linked papers with an AI index.
5 papers
Programmable Quantum-Like bits from Signed Regular Graphs
Ethan Dickey, Abhijeet Vyas, Sabre Kais
The paper shows how single quantum‑like bits can be built from the eigenvectors of adjacency matrices of regular signed graphs, providing conditions for creating equal superpositio…
Neural Operator: Is data all you need to model the world? An insight into the paradigm of data-driven scientific ML
Hrishikesh Viswanath, Md Ashiqur Rahman, Abhijeet Vyas +5
Numerical approximations of partial differential equations (PDEs) are routinely employed to formulate the solution of physics, engineering, and mathematical problems involving func…
Mirror-Free Proximal Methods
Abhijeet Vyas, Brian Bullins
We present a \emph{mirror-free} mirror prox (MFMP) algorithm, which extends the classic approach of Nemirovski (2004) to allow for proximal-like updates without the explicit need f…
Beyond First-Order Methods for -Structured Non-Monotone Variational Inequalities
Abhijeet Vyas, Brian Bullins
We propose novel high-order algorithms for a class of -structured non-monotone variational inequalities. In particular, work by Diakonikolas et al. (2021), which introduced…
Online Min-Max Optimization: From Individual Regrets to Cumulative Saddle Points
Abhijeet Vyas, Brian Bullins
We propose and study an online version of min-max optimization based on cumulative saddle points under a variety of performance measures beyond convex-concave settings. After first…