4 papers
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…
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…
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…
Approximating Quantum Lyapunov Exponents in Quantum Kicked Rotor
Varsha Gupta
In this work, we study quantum chaos by focusing on the evolution of initially close states in the dynamics of the Quantum Kicked Rotor (QKR). We propose a novel measure, the Quant…