13 citations · 34 across the 28 of their papers we have counts for
5 papers · 1 filter
Universal Approximation of Mean-Field Models via Transformers
Shiba Biswal, Karthik Elamvazhuthi, Rishi Sonthalia
This paper investigates the use of transformers to approximate the mean-field dynamics of interacting particle systems exhibiting collective behavior. Such systems are fundamental…
Benamou-Brenier Formulation of Optimal Transport for Nonlinear Control Systems on Rd
Karthik Elamvazhuthi
In this paper we consider the Benamou-Brenier formulation of optimal transport for nonlinear control affine systems on $\Rd$, removing the compactness assumption of the underlying…
A Linear Test for Global Nonlinear Controllability
Karthik Elamvazhuthi
It is known that if a nonlinear control affine system without drift is bracket generating, then its associated sub-Laplacian is invertible under some conditions on the domain. In t…
A Blob Method for Mean Field Control With Terminal Constraints
Katy Craig, Karthik Elamvazhuthi, Harlin Lee
In the present work, we develop a novel particle method for a general class of mean field control problems, with source and terminal constraints. Specific examples of the problems…
Denoising Diffusion-Based Control of Nonlinear Systems
Karthik Elamvazhuthi, Darshan Gadginmath, Fabio Pasqualetti
We propose a novel approach based on Denoising Diffusion Probabilistic Models (DDPMs) to control nonlinear dynamical systems. DDPMs are the state-of-art of generative models that h…