Elamvazhuthi, Karthik

1. A blob method for inhomogeneous diffusion with applications to multi-agent control and sampling
   2022/02/25 by Craig, Katy, Elamvazhuthi, Karthik, Haberland, Matt +1 · 3 citations
   #35Q35 (Primary) 35Q62 #35Q68 #35Q82 #65M12 #82C22 #93A16 (Secondary) #Analysis of PDEs (math.AP) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Numerical Analysis (math.NA) #Optimization and Control (math.OC)
2. PDE-based optimization for stochastic mapping and coverage strategies using robotic ensembles
   2017/11/29 by Karthik Elamvazhuthi, Hendrik Kuiper, Hendrik J. Kuiper +4 · 2 citations
   Biochemistry, Genetics and Molecular Biology · Mathematics · Engineering · #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Advanced Control Systems Optimization
3. Coverage and Field Estimation on Bounded Domains by Diffusive Swarms
   2016/09/25 by Elamvazhuthi, Karthik, Adams, Chase, Berman, Spring · 1 citation
   #FOS: Computer and information sciences #FOS: Electrical engineering #Multiagent Systems (cs.MA) #Systems and Control (eess.SY) #electronic engineering #information engineering
4. Controllability to Equilibria of the 1-D Fokker-Planck Equation with Zero-Flux Boundary Condition
   2017/03/21 by Elamvazhuthi, Karthik, Kuiper, Hendrik, Berman, Spring · 1 citation
   #FOS: Computer and information sciences #FOS: Electrical engineering #FOS: Mathematics #Multiagent Systems (cs.MA) #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
5. Using Reinforcement Learning to Herd a Robotic Swarm to a Target Distribution
   2020/06/29 by Kakish, Zahi M., Elamvazhuthi, Karthik, Berman, Spring · 1 citation
   #Artificial Intelligence (cs.AI) #FOS: Computer and information sciences #Machine Learning (cs.LG) #Multiagent Systems (cs.MA) #Robotics (cs.RO)
6. Universal Approximation of Mean-Field Models via Transformers
   2024/10/06 by Shiba Biswal, Karthik Elamvazhuthi, Biswal, Shiba +3 · 1 voice · 2 citations
   Computer Science · Mathematics · Physics and Astronomy · #Computational Physics (physics.comp-ph) #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Computer and information sciences #FOS: Physical sciences #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Neural Networks and Applications #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.dis-nn #cond-mat.stat-mech #cs.LG #physics.comp-ph #stat.ML
7. Neural ODE Control for Trajectory Approximation of Continuity Equation
   2022/05/18 by Karthik Elamvazhuthi, Bahman Gharesifard, Elamvazhuthi, Karthik +5 · 1 citation
   Physics and Astronomy · Computer Science · Engineering · #Model Reduction and Neural Networks #Neural Networks and Applications #Control Systems and Identification
8. Benamou-Brenier Formulation of Optimal Transport for Nonlinear Control Systems on Rd
   2024/07/22 by Karthik Elamvazhuthi, Elamvazhuthi, Karthik · 4 citations
   Mathematics · Physics and Astronomy · #FOS: Mathematics #Gas Dynamics and Kinetic Theory #Magnetic confinement fusion research #Optimization and Control (math.OC) #Quantum chaos and dynamical systems
9. A Blob Method for Mean Field Control With Terminal Constraints
   2024/02/15 by Katy Craig, Craig, Katy, Karthik Elamvazhuthi +3 · 2 citations
   Computer Science · Engineering · Mathematics · #35Q35 #35Q62 #35Q82 #49M41 #49N80 #65M12 #82C22 #93A16 #Analysis of PDEs (math.AP) #Computational Fluid Dynamics and Aerodynamics #FOS: Electrical engineering #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Numerical methods for differential equations #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
10. Optimal Transport of Linear Systems over Equilibrium Measures
    2023/12/15 by Karthik Elamvazhuthi, Elamvazhuthi, Karthik, Matt Jacobs +1 · 1 citation
    Mathematics · #FOS: Electrical engineering #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Optimization and Control (math.OC) #Point processes and geometric inequalities #Systems and Control (eess.SY) #electronic engineering #information engineering