Karthik Elamvazhuthi

1. PDE-based optimization for stochastic mapping and coverage strategies using robotic ensembles
   2018/06/18 by Karthik Elamvazhuthi, Hendrik Kuiper, Hendrik J. Kuiper +1 · 2 citations
   Biochemistry, Genetics and Molecular Biology · Mathematics · Engineering · #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth #Advanced Control Systems Optimization
2. 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
3. Neural ODE Control for Trajectory Approximation of Continuity Equation
   2022/05/18 by Karthik Elamvazhuthi, Elamvazhuthi, Karthik, Bahman Gharesifard +5 · 1 citation
   Physics and Astronomy · Computer Science · Engineering · #Model Reduction and Neural Networks #Neural Networks and Applications #Control Systems and Identification
4. 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
5. Benamou-Brenier Formulation of Optimal Transport for Nonlinear Control Systems on Rd
   2024/07/22 by Karthik Elamvazhuthi, Elamvazhuthi, Karthik · 3 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