3 papers
math.CO2025
A Modular-Form Framework for Global Optimality in the Asymmetric Traveling-Salesman Problem
Varsha Gupta
In this paper, we develop an alternate formulation of Asymmetric Traveling Salesman Problem (ATSP). The equivalent problem is to find the zeros of a holomorphic cusp form on the pr…
math.DG2025
Stochastic Optimization Using Ricci Flow
Varsha Gupta
This paper proposes a theoretical framework for modeling and optimizing the bounded functions based on the Fourier series approximation and Ricci flow. Specifically, the initial ma…
physics.flu-dyn2024
A Unified Framework for Total Variation Regularized Optimization in Fluid Dynamics and Related Physical Systems
Varsha Gupta
An optimization framework is presented for minimizing the energy functional developed around a generalized equation governing physical systems such as fluid dynamics, particle tran…