Karthik Elamvazhuthi

Publication Activity (10 Years)

Years Active: 2014-2024
Publications (10 Years): 45

Top Topics

Nonlinear Systems

Optimal Control

Top Venues

IEEE Trans. Autom. Control.

IEEE Control. Syst. Lett.

Publications

Katy Craig, Karthik Elamvazhuthi, Harlin Lee
A Blob Method for Mean Field Control With Terminal Constraints. CoRR (2024)
Karthik Elamvazhuthi, Spring Berman
Density Stabilization Strategies for Nonholonomic Agents on Compact Manifolds. IEEE Trans. Autom. Control. 69 (3) (2024)
Karthik Elamvazhuthi, Xuechen Zhang, Matthew Jacobs, Samet Oymak, Fabio Pasqualetti
A Score-Based Deterministic Diffusion Algorithm with Smooth Scores for General Distributions. AAAI (2024)
Karthik Elamvazhuthi
A Linear Test for Global Nonlinear Controllability. CoRR (2024)
Karthik Elamvazhuthi, Darshan Gadginmath, Fabio Pasqualetti
Denoising Diffusion-Based Control of Nonlinear Systems. CoRR (2024)
Katy Craig, Karthik Elamvazhuthi, Matt Haberland, Olga Turanova
A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling. Math. Comput. 92 (344) (2023)
Karthik Elamvazhuthi, Matt Jacobs
Optimal Transport of Linear Systems over Equilibrium Measures. CoRR (2023)
Karthik Elamvazhuthi, Spring Berman
Density Stabilization Strategies for Nonholonomic Agents on Compact Manifolds. CoRR (2023)
Karthik Elamvazhuthi, Samet Oymak, Fabio Pasqualetti
Noise in the reverse process improves the approximation capabilities of diffusion models. CoRR (2023)
Karthik Elamvazhuthi, Xuechen Zhang, Samet Oymak, Fabio Pasqualetti
Learning on Manifolds: Universal Approximations Properties using Geometric Controllability Conditions for Neural ODEs. CoRR (2023)
Karthik Elamvazhuthi, Xuechen Zhang, Samet Oymak, Fabio Pasqualetti
Learning on Manifolds: Universal Approximations Properties using Geometric Controllability Conditions for Neural ODEs. L4DC (2023)
Karthik Elamvazhuthi, Bahman Gharesifard, Andrea L. Bertozzi, Stanley J. Osher
Neural ODE Control for Trajectory Approximation of Continuity Equation. CoRR (2022)
Karthik Elamvazhuthi, Bahman Gharesifard, Andrea L. Bertozzi, Stanley J. Osher
Neural ODE Control for Trajectory Approximation of Continuity Equation. IEEE Control. Syst. Lett. 6 (2022)
Katy Craig, Karthik Elamvazhuthi, Matt Haberland, Olga Turanova
A blob method method for inhomogeneous diffusion with applications to multi-agent control and sampling. CoRR (2022)
Shiba Biswal, Karthik Elamvazhuthi, Spring Berman
Decentralized Control of Multiagent Systems Using Local Density Feedback. IEEE Trans. Autom. Control. 67 (8) (2022)
Zahi M. Kakish, Karthik Elamvazhuthi, Spring Berman
Using Reinforcement Learning to Herd a Robotic Swarm to a Target Distribution. DARS (2021)
Karthik Elamvazhuthi, Shiba Biswal, Spring Berman
Controllability and decentralized stabilization of the Kolmogorov forward equation for Markov chains. Autom. 124 (2021)
Karthik Elamvazhuthi, Zahi M. Kakish, Aniket Shirsat, Spring Berman
Controllability and Stabilization for Herding a Robotic Swarm Using a Leader: A Mean-Field Approach. IEEE Trans. Robotics 37 (2) (2021)
Shiba Biswal, Karthik Elamvazhuthi, Spring Berman
Stabilization of Nonlinear Discrete-Time Systems to Target Measures Using Stochastic Feedback Laws. IEEE Trans. Autom. Control. 66 (5) (2021)
Shiba Biswal, Karthik Elamvazhuthi, Hans D. Mittelmann, Spring Berman
Spectral Gap Optimization of Divergence Type Diffusion Operators. ECC (2020)
Zahi M. Kakish, Karthik Elamvazhuthi, Spring Berman
Using Reinforcement Learning to Herd a Robotic Swarm to a Target Distribution. CoRR (2020)
Aniket Shirsat, Karthik Elamvazhuthi, Spring Berman
Multi-Robot Target Search using Probabilistic Consensus on Discrete Markov Chains. SSRR (2020)
Aniket Shirsat, Karthik Elamvazhuthi, Spring Berman
Multi-Robot Target Search using Probabilistic Consensus on Discrete Markov Chains. CoRR (2020)
Karthik Elamvazhuthi, Hendrik Kuiper, Matthias Kawski, Spring Berman
Bilinear Controllability of a Class of Advection-Diffusion-Reaction Systems. IEEE Trans. Autom. Control. 64 (6) (2019)
Shiba Biswal, Karthik Elamvazhuthi, Spring Berman
Fastest Mixing Markov Chain on a Compact Manifold. CDC (2019)
Karthik Elamvazhuthi, Piyush Grover, Spring Berman
Optimal Transport Over Deterministic Discrete-Time Nonlinear Systems Using Stochastic Feedback Laws. IEEE Control. Syst. Lett. 3 (1) (2019)
Karthik Elamvazhuthi, Spring Berman
Nonlinear Generalizations of Diffusion-Based Coverage by Robotic Swarms. CDC (2018)
Piyush Grover, Karthik Elamvazhuthi
Optimal perturbations for nonlinear systems using graph-based optimal transport. Commun. Nonlinear Sci. Numer. Simul. 59 (2018)
Karthik Elamvazhuthi, Piyush Grover, Spring Berman
Optimal Transport over Deterministic Discrete-time Nonlinear Systems using Stochastic Feedback Laws. CoRR (2018)
Fangbo Zhang, Andrea L. Bertozzi, Karthik Elamvazhuthi, Spring Berman
Performance Bounds on Spatial Coverage Tasks by Stochastic Robotic Swarms. IEEE Trans. Autom. Control. 63 (6) (2018)
Vaibhav Deshmukh, Karthik Elamvazhuthi, Shiba Biswal, Zahi M. Kakish, Spring Berman
Mean-Field Stabilization of Markov Chain Models for Robotic Swarms: Computational Approaches and Experimental Results. IEEE Robotics Autom. Lett. 3 (3) (2018)
Karthik Elamvazhuthi, Shiba Biswal, Spring Berman
Mean-Field Stabilization of Robotic Swarms to Probability Distributions with Disconnected Supports. ACC (2018)
Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman
PDE-based optimization for stochastic mapping and coverage strategies using robotic ensembles. Autom. 95 (2018)
Karthik Elamvazhuthi, Vaibhav Deshmukh, Matthias Kawski, Spring Berman
Mean-Field Controllability and Decentralized Stabilization of Markov Chains, Part I: Global Controllability and Rational Feedbacks. CoRR (2017)
Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman
Controllability to equilibria of the 1-D fokker-planck equation with zero-flux boundary condition. CDC (2017)
Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman
Controllability to Equilibria of the 1-D Fokker-Planck Equation with Zero-Flux Boundary Condition. CoRR (2017)
Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman
PDE-Based Optimization for Stochastic Mapping and Coverage Strategies using Robotic Ensembles. CoRR (2017)
Hanjun Li, Chunhan Feng, Henry Ehrhard, Yijun Shen, Bernardo Cobos, Fangbo Zhang, Karthik Elamvazhuthi, Spring Berman, Matt Haberland, Andrea L. Bertozzi
Decentralized stochastic control of robotic swarm density: Theory, simulation, and experiment. IROS (2017)
Karthik Elamvazhuthi, Matthias Kawski, Shiba Biswal, Vaibhav Deshmukh, Spring Berman
Mean-field controllability and decentralized stabilization of Markov chains. CDC (2017)
Shiba Biswal, Karthik Elamvazhuthi, Spring Berman
Mean-Field Controllability and Decentralized Stabilization of Markov Chains, Part II: Asymptotic Controllability and Polynomial Feedbacks. CoRR (2017)
Karthik Elamvazhuthi, Hendrik Kuiper, Matthias Kawski, Spring Berman
Bilinear Controllability of a Class of Advection-Diffusion-Reaction Systems. CoRR (2017)
Karthik Elamvazhuthi, Chase Adams, Spring Berman
Coverage and Field Estimation on Bounded Domains by Diffusive Swarms. CoRR (2016)
Karthik Elamvazhuthi, Sean Wilson, Spring Berman
Confinement control of double integrators using partially periodic leader trajectories. ACC (2016)
Karthik Elamvazhuthi, Piyush Grover
Optimal transport over nonlinear systems via infinitesimal generators on graphs. CoRR (2016)
Karthik Elamvazhuthi, Chase Adams, Spring Berman
Coverage and field estimation on bounded domains by diffusive swarms. CDC (2016)
Karthik Elamvazhuthi, Sean Wilson, Spring Berman
Confinement Control of Double Integrators using Partially Periodic Leader Trajectories. CoRR (2015)
Karthik Elamvazhuthi, Spring Berman
Optimal control of stochastic coverage strategies for robotic swarms. ICRA (2015)
Ragesh K. Ramachandran, Karthik Elamvazhuthi, Spring Berman
An Optimal Control Approach to Mapping GPS-Denied Environments Using a Stochastic Robotic Swarm. ISRR (1) (2015)
Karthik Elamvazhuthi, Spring Berman
Scalable Formation Control of Multi-robot Chain Networks Using a PDE Abstraction. DARS (2014)