Abhishek Halder

Orcid: 0000-0002-1509-5853

According to our database1, Abhishek Halder authored at least 65 papers between 2007 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Solution of the Probabilistic Lambert's Problem: Optimal Transport Approach.
CoRR, 2024

Solution of the Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge and Reaction-Diffusion PDEs.
CoRR, 2024

2023
The Curious Case of Integrator Reach Sets, Part I: Basic Theory.
IEEE Trans. Autom. Control., November, 2023

On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems.
IEEE Control. Syst. Lett., 2023

A Controlled Mean Field Model for Chiplet Population Dynamics.
IEEE Control. Syst. Lett., 2023

Exact Computation of LTI Reach Set From Integrator Reach Set With Bounded Input.
IEEE Control. Syst. Lett., 2023

Path Structured Multimarginal Schrödinger Bridge for Probabilistic Learning of Hardware Resource Usage by Control Software.
CoRR, 2023

Neural Schrödinger Bridge with Sinkhorn Losses: Application to Data-driven Minimum Effort Control of Colloidal Self-assembly.
CoRR, 2023

Optimal Mass Transport over the Euler Equation.
Proceedings of the 62nd IEEE Conference on Decision and Control, 2023

A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly.
Proceedings of the American Control Conference, 2023

Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets.
Proceedings of the American Control Conference, 2023

2022
Density-Based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving.
IEEE Trans. Control. Syst. Technol., 2022

Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control With Nonlinear Drift.
IEEE Trans. Autom. Control., 2022

Certifying the Intersection of Reach Sets of Integrator Agents With Set-Valued Input Uncertainties.
IEEE Control. Syst. Lett., 2022

Proximal Mean Field Learning in Shallow Neural Networks.
CoRR, 2022

Hausdorff Distance between Norm Balls and their Linear Maps.
CoRR, 2022

A Distributed Algorithm for Measure-valued Optimization with Additive Objective.
CoRR, 2022

Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators.
Proceedings of the 61st IEEE Conference on Decision and Control, 2022

Boundary and Taxonomy of Integrator Reach Sets.
Proceedings of the American Control Conference, 2022

2021
Predicting State Transition in Freezing of Gait via Acceleration Measurements for Controlled Cueing in Parkinson's Disease.
IEEE Trans. Instrum. Meas., 2021

Smallest Ellipsoid Containing $p$-Sum of Ellipsoids With Application to Reachability Analysis.
IEEE Trans. Autom. Control., 2021

Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving.
IEEE Control. Syst. Lett., 2021

Stochastic Uncertainty Propagation in Power System Dynamics using Measure-valued Proximal Recursions.
CoRR, 2021

Anytime ellipsoidal over-approximation of forward reach sets of uncertain linear systems.
Proceedings of the CAADCPS '21: Proceedings of the Workshop on Computation-Aware Algorithmic Design for Cyber-Physical Systems, 2021

On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost.
Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

Reflected Schrödinger Bridge: Density Control with Path Constraints.
Proceedings of the 2021 American Control Conference, 2021

2020
Hopfield Neural Network Flow: A Geometric Viewpoint.
IEEE Trans. Neural Networks Learn. Syst., 2020

Gradient Flow Algorithms for Density Propagation in Stochastic Systems.
IEEE Trans. Autom. Control., 2020

Stability Theory of Stochastic Models in Opinion Dynamics.
IEEE Trans. Autom. Control., 2020

Global Convergence of Second-order Dynamics in Two-layer Neural Networks.
CoRR, 2020

The Convex Geometry of Integrator Reach Sets.
Proceedings of the 2020 American Control Conference, 2020

Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems.
Proceedings of the 2020 American Control Conference, 2020

2019
DeGroot-Friedkin Map in Opinion Dynamics Is Mirror Descent.
IEEE Control. Syst. Lett., 2019

Optimal Control of Thermostatic Loads for Planning Aggregate Consumption: Characterization of Solution and Explicit Strategies.
IEEE Control. Syst. Lett., 2019

Finite Horizon Density Control for Static State Feedback Linearizable Systems.
CoRR, 2019

Proximal Recursion for the Wonham Filter.
Proceedings of the 58th IEEE Conference on Decision and Control, 2019

Proximal Recursion for Solving the Fokker-Planck Equation.
Proceedings of the 2019 American Control Conference, 2019

Opinion Dynamics over Influence Networks.
Proceedings of the 2019 American Control Conference, 2019

2018
On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids.
Proceedings of the 57th IEEE Conference on Decision and Control, 2018

Gradient Flows in Filtering and Fisher-Rao Geometry.
Proceedings of the 2018 Annual American Control Conference, 2018

2017
Stability Theory in $\ell_1$ for Nonlinear Markov Chains and Stochastic Models for Opinion Dynamics over Influence Networks.
CoRR, 2017

Gradient flows in uncertainty propagation and filtering of linear Gaussian systems.
Proceedings of the 56th IEEE Annual Conference on Decision and Control, 2017

2016
Architecture and Algorithms for Privacy Preserving Thermal Inertial Load Management by A Load Serving Entity.
CoRR, 2016

Finite horizon linear quadratic Gaussian density regulator with Wasserstein terminal cost.
Proceedings of the 2016 American Control Conference, 2016

2015
Nonlinear estimation with Perron-Frobenius operator and Karhunen-Loève expansion.
IEEE Trans. Aerosp. Electron. Syst., 2015

Performance and robustness analysis of stochastic jump linear systems using Wasserstein metric.
Autom., 2015

A control system framework for privacy preserving demand response of thermal inertial loads.
Proceedings of the 2015 IEEE International Conference on Smart Grid Communications, 2015

2014
Mean Square Stability for Stochastic Jump Linear Systems via Optimal Transport.
CoRR, 2014

Robustness Analysis of Stochastic Jumps and Design of Resource-Optimal Switching Policies for Cyber-Physical Systems.
CoRR, 2014

A Probabilistic Method for Nonlinear Robustness Analysis of F-16 Controllers.
CoRR, 2014

Probabilistic model validation for uncertain nonlinear systems.
Autom., 2014

A dynamical system pair with identical first two moments but different probability densities.
Proceedings of the 53rd IEEE Conference on Decision and Control, 2014

Probabilistic robustness analysis of stochastic jump linear systems.
Proceedings of the American Control Conference, 2014

Geodesic density tracking with applications to data driven modeling.
Proceedings of the American Control Conference, 2014

2013
Probabilistic robustness analysis of F-16 controller performance: An optimal transport approach.
Proceedings of the American Control Conference, 2013

Frequency domain model validation in Wasserstein metric.
Proceedings of the American Control Conference, 2013

Nonlinear filtering with transfer operator.
Proceedings of the American Control Conference, 2013

2012
Further results on probabilistic model validation in Wasserstein metric.
Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Uncertainty quantification for stochastic nonlinear systems using Perron-Frobenius operator and Karhunen-Loève expansion.
Proceedings of the IEEE International Conference on Control Applications, 2012

2011
Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing.
SIAM J. Appl. Dyn. Syst., 2011

Micro air vehicle path planning in fuzzy quadtree framework.
Appl. Soft Comput., 2011

Model validation: A probabilistic formulation.
Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

2009
Leader-follower dynamics for unicycles.
Proceedings of the American Control Conference, 2009

2008
FLIER: A Novel Sensor Fusion Algorithm.
Proceedings of the IEEE Reglon 10 Colloquium and Third International Conference on Industrial and Information Systems, 2008

2007
Fuzzy Quadtree Based Path Planner and Trajectory Smoother for a Low Cost Unmanned Aerial Vehicle.
Proceedings of the 3rd Indian International Conference on Artificial Intelligence, 2007


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