13 citations · 34 across the 28 of their papers we have counts for
4 papers · 1 filter
Optimal Transport of Linear Systems over Equilibrium Measures
Karthik Elamvazhuthi, Matt Jacobs
We consider the optimal transport problem over convex costs arising from optimal control of linear time-invariant(LTI) systems when the initial and target measures are assumed to b…
Noise in the reverse process improves the approximation capabilities of diffusion models
Karthik Elamvazhuthi, Samet Oymak, Fabio Pasqualetti
In Score based Generative Modeling (SGMs), the state-of-the-art in generative modeling, stochastic reverse processes are known to perform better than their deterministic counterpar…
Density Stabilization Strategies for Nonholonomic Agents on Compact Manifolds
Karthik Elamvazhuthi, Spring Berman
In this article, we consider the problem of stabilizing stochastic processes, which are constrained to a bounded Euclidean domain or a compact smooth manifold, to a given target pr…
Learning on Manifolds: Universal Approximations Properties using Geometric Controllability Conditions for Neural ODEs
Karthik Elamvazhuthi, Xuechen Zhang, Samet Oymak +1
In numerous robotics and mechanical engineering applications, among others, data is often constrained on smooth manifolds due to the presence of rotational degrees of freedom. Comm…