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ORCIDKarthik Elamvazhuthi
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2020 – today
- 2024
[j13]Karthik Elamvazhuthi
, Spring Berman:
Density Stabilization Strategies for Nonholonomic Agents on Compact Manifolds. IEEE Trans. Autom. Control. 69(3): 1448-1463 (2024)- [c16]Karthik Elamvazhuthi, Xuechen Zhang, Matthew Jacobs, Samet Oymak, Fabio Pasqualetti:
A Score-Based Deterministic Diffusion Algorithm with Smooth Scores for General Distributions. AAAI 2024: 11866-11873 - [i20]Karthik Elamvazhuthi, Darshan Gadginmath, Fabio Pasqualetti:
Denoising Diffusion-Based Control of Nonlinear Systems. CoRR abs/2402.02297 (2024) - [i19]Katy Craig, Karthik Elamvazhuthi, Harlin Lee:
A Blob Method for Mean Field Control With Terminal Constraints. CoRR abs/2402.10124 (2024) - [i18]Karthik Elamvazhuthi:
A Linear Test for Global Nonlinear Controllability. CoRR abs/2405.09108 (2024) - 2023
- [j12]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): 2575-2654 (2023) - [c15]Karthik Elamvazhuthi, Xuechen Zhang, Samet Oymak, Fabio Pasqualetti:
Learning on Manifolds: Universal Approximations Properties using Geometric Controllability Conditions for Neural ODEs. L4DC 2023: 1-11 - [i17]Karthik Elamvazhuthi, Xuechen Zhang, Samet Oymak, Fabio Pasqualetti:
Learning on Manifolds: Universal Approximations Properties using Geometric Controllability Conditions for Neural ODEs. CoRR abs/2305.08849 (2023) - [i16]Karthik Elamvazhuthi, Spring Berman:
Density Stabilization Strategies for Nonholonomic Agents on Compact Manifolds. CoRR abs/2308.15755 (2023) - [i15]Karthik Elamvazhuthi, Samet Oymak, Fabio Pasqualetti:
Noise in the reverse process improves the approximation capabilities of diffusion models. CoRR abs/2312.07851 (2023) - [i14]Karthik Elamvazhuthi, Matt Jacobs:
Optimal Transport of Linear Systems over Equilibrium Measures. CoRR abs/2312.10197 (2023) - 2022
- [j11]Karthik Elamvazhuthi, Bahman Gharesifard, Andrea L. Bertozzi, Stanley J. Osher:
Neural ODE Control for Trajectory Approximation of Continuity Equation. IEEE Control. Syst. Lett. 6: 3152-3157 (2022) - [j10]Shiba Biswal, Karthik Elamvazhuthi, Spring Berman:
Decentralized Control of Multiagent Systems Using Local Density Feedback. IEEE Trans. Autom. Control. 67(8): 3920-3932 (2022) - [i13]Katy Craig, Karthik Elamvazhuthi, Matt Haberland, Olga Turanova:
A blob method method for inhomogeneous diffusion with applications to multi-agent control and sampling. CoRR abs/2202.12927 (2022) - [i12]Karthik Elamvazhuthi, Bahman Gharesifard, Andrea L. Bertozzi, Stanley J. Osher:
Neural ODE Control for Trajectory Approximation of Continuity Equation. CoRR abs/2205.09241 (2022) - 2021
- [j9]Karthik Elamvazhuthi, Shiba Biswal, Spring Berman:
Controllability and decentralized stabilization of the Kolmogorov forward equation for Markov chains. Autom. 124: 109351 (2021) - [j8]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): 1957-1972 (2021) - [j7]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): 418-432 (2021) - [c14]Zahi M. Kakish, Karthik Elamvazhuthi, Spring Berman:
Using Reinforcement Learning to Herd a Robotic Swarm to a Target Distribution. DARS 2021: 401-414 - 2020
- [c13]Shiba Biswal, Karthik Elamvazhuthi, Hans D. Mittelmann, Spring Berman:
Spectral Gap Optimization of Divergence Type Diffusion Operators. ECC 2020: 1268-1273 - [c12]Aniket Shirsat, Karthik Elamvazhuthi, Spring Berman:
Multi-Robot Target Search using Probabilistic Consensus on Discrete Markov Chains. SSRR 2020: 108-115 - [i11]Zahi M. Kakish, Karthik Elamvazhuthi, Spring Berman:
Using Reinforcement Learning to Herd a Robotic Swarm to a Target Distribution. CoRR abs/2006.15807 (2020) - [i10]Aniket Shirsat, Karthik Elamvazhuthi, Spring Berman:
Multi-Robot Target Search using Probabilistic Consensus on Discrete Markov Chains. CoRR abs/2009.09537 (2020)
2010 – 2019
- 2019
- [j6]Karthik Elamvazhuthi, Piyush Grover, Spring Berman:
Optimal Transport Over Deterministic Discrete-Time Nonlinear Systems Using Stochastic Feedback Laws. IEEE Control. Syst. Lett. 3(1): 168-173 (2019) - [j5]Karthik Elamvazhuthi, Hendrik Kuiper, Matthias Kawski, Spring Berman:
Bilinear Controllability of a Class of Advection-Diffusion-Reaction Systems. IEEE Trans. Autom. Control. 64(6): 2282-2297 (2019) - [c11]Shiba Biswal, Karthik Elamvazhuthi, Spring Berman:
Fastest Mixing Markov Chain on a Compact Manifold. CDC 2019: 547-554 - 2018
- [j4]Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman:
PDE-based optimization for stochastic mapping and coverage strategies using robotic ensembles. Autom. 95: 356-367 (2018) - [j3]Piyush Grover, Karthik Elamvazhuthi:
Optimal perturbations for nonlinear systems using graph-based optimal transport. Commun. Nonlinear Sci. Numer. Simul. 59: 197-215 (2018) - [j2]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): 1985-1992 (2018) - [j1]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): 1473-1488 (2018) - [c10]Karthik Elamvazhuthi, Shiba Biswal, Spring Berman:
Mean-Field Stabilization of Robotic Swarms to Probability Distributions with Disconnected Supports. ACC 2018: 885-892 - [c9]Karthik Elamvazhuthi, Spring Berman:
Nonlinear Generalizations of Diffusion-Based Coverage by Robotic Swarms. CDC 2018: 1341-1346 - [i9]Karthik Elamvazhuthi, Piyush Grover, Spring Berman:
Optimal Transport over Deterministic Discrete-time Nonlinear Systems using Stochastic Feedback Laws. CoRR abs/1804.03108 (2018) - 2017
- [c8]Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman:
Controllability to equilibria of the 1-D fokker-planck equation with zero-flux boundary condition. CDC 2017: 2485-2491 - [c7]Karthik Elamvazhuthi, Matthias Kawski, Shiba Biswal, Vaibhav Deshmukh, Spring Berman:
Mean-field controllability and decentralized stabilization of Markov chains. CDC 2017: 3131-3137 - [c6]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: 4341-4347 - [i8]Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman:
Controllability to Equilibria of the 1-D Fokker-Planck Equation with Zero-Flux Boundary Condition. CoRR abs/1703.07306 (2017) - [i7]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 abs/1703.08243 (2017) - [i6]Shiba Biswal, Karthik Elamvazhuthi, Spring Berman:
Mean-Field Controllability and Decentralized Stabilization of Markov Chains, Part II: Asymptotic Controllability and Polynomial Feedbacks. CoRR abs/1703.08515 (2017) - [i5]Karthik Elamvazhuthi, Hendrik Kuiper, Matthias Kawski, Spring Berman:
Bilinear Controllability of a Class of Advection-Diffusion-Reaction Systems. CoRR abs/1711.01696 (2017) - [i4]Karthik Elamvazhuthi, Hendrik Kuiper, Spring Berman:
PDE-Based Optimization for Stochastic Mapping and Coverage Strategies using Robotic Ensembles. CoRR abs/1711.11018 (2017) - 2016
- [c5]Karthik Elamvazhuthi, Sean Wilson, Spring Berman:
Confinement control of double integrators using partially periodic leader trajectories. ACC 2016: 5537-5544 - [c4]Karthik Elamvazhuthi, Chase Adams, Spring Berman:
Coverage and field estimation on bounded domains by diffusive swarms. CDC 2016: 2867-2874 - [i3]Karthik Elamvazhuthi, Chase Adams, Spring Berman:
Coverage and Field Estimation on Bounded Domains by Diffusive Swarms. CoRR abs/1609.07695 (2016) - [i2]Karthik Elamvazhuthi, Piyush Grover:
Optimal transport over nonlinear systems via infinitesimal generators on graphs. CoRR abs/1612.01193 (2016) - 2015
- [c3]Karthik Elamvazhuthi, Spring Berman:
Optimal control of stochastic coverage strategies for robotic swarms. ICRA 2015: 1822-1829 - [c2]Ragesh K. Ramachandran, Karthik Elamvazhuthi, Spring Berman:
An Optimal Control Approach to Mapping GPS-Denied Environments Using a Stochastic Robotic Swarm. ISRR (1) 2015: 477-493 - [i1]Karthik Elamvazhuthi, Sean Wilson, Spring Berman:
Confinement Control of Double Integrators using Partially Periodic Leader Trajectories. CoRR abs/1510.00109 (2015) - 2014
- [c1]Karthik Elamvazhuthi, Spring Berman:
Scalable Formation Control of Multi-robot Chain Networks Using a PDE Abstraction. DARS 2014: 357-369
Coauthor Index
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