Abhishek Halder

Publication Activity (10 Years)

Years Active: 2007-2024
Publications (10 Years): 75

Top Topics

Stochastic Models

Privacy Preserving

Top Venues

IEEE Control. Syst. Lett.

Publications

Alexis M. H. Teter, Iman Nodozi, Abhishek Halder
Solution of the Probabilistic Lambert's Problem: Optimal Transport Approach. CoRR (2024)
Alexis M. H. Teter, Iman Nodozi, Abhishek Halder
Solution of the Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge and Reaction-Diffusion PDEs. CoRR (2024)
Alexis M. H. Teter, Wenqing Wang, Abhishek Halder
Weyl Calculus and Exactly Solvable Schrödinger Bridges with Quadratic State Cost. CoRR (2024)
Iman Nodozi, Charlie Yan, Mira M. Khare, Abhishek Halder, Ali Mesbah
Neural Schrödinger Bridge With Sinkhorn Losses: Application to Data-Driven Minimum Effort Control of Colloidal Self-Assembly. IEEE Trans. Control. Syst. Technol. 32 (3) (2024)
Georgiy A. Bondar, Robert Gifford, Linh Thi Xuan Phan, Abhishek Halder
Stochastic Learning of Computational Resource Usage as Graph Structured Multimarginal Schrödinger Bridge. CoRR (2024)
Alexis Teter, Iman Nodozi, Abhishek Halder
Proximal Mean Field Learning in Shallow Neural Networks. Trans. Mach. Learn. Res. 2024 (2024)
Alexis M. H. Teter, Wenqing Wang, Abhishek Halder
Schrödinger Bridge with Quadratic State Cost is Exactly Solvable. CoRR (2024)
Shadi Haddad, Abhishek Halder
The Curious Case of Integrator Reach Sets, Part I: Basic Theory. IEEE Trans. Autom. Control. 68 (11) (2023)
Shadi Haddad, Pansie Khodary, Abhishek Halder
Exact Computation of LTI Reach Set from Integrator Reach Set with Bounded Input. CoRR (2023)
Alexis M. H. Teter, Yongxin Chen, Abhishek Halder
On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems. IEEE Control. Syst. Lett. 7 (2023)
Iman Nodozi, Abhishek Halder, Ion Matei
A Controlled Mean Field Model for Chiplet Population Dynamics. CoRR (2023)
Charlie Yan, Iman Nodozi, Abhishek Halder
Optimal Mass Transport over the Euler Equation. CDC (2023)
Georgiy A. Bondar, Robert Gifford, Linh Thi Xuan Phan, Abhishek Halder
Path Structured Multimarginal Schrödinger Bridge for Probabilistic Learning of Hardware Resource Usage by Control Software. CoRR (2023)
Alexis M. H. Teter, Yongxin Chen, Abhishek Halder
On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems. CoRR (2023)
Shadi Haddad, Abhishek Halder
Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets. ACC (2023)
Iman Nodozi, Jared O'Leary, Ali Mesbah, Abhishek Halder
A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly. ACC (2023)
Iman Nodozi, Charlie Yan, Mira M. Khare, Abhishek Halder, Ali Mesbah
Neural Schrödinger Bridge with Sinkhorn Losses: Application to Data-driven Minimum Effort Control of Colloidal Self-assembly. CoRR (2023)
Iman Nodozi, Abhishek Halder, Ion Matei
A Controlled Mean Field Model for Chiplet Population Dynamics. IEEE Control. Syst. Lett. 7 (2023)
Charlie Yan, Iman Nodozi, Abhishek Halder
Optimal Mass Transport over the Euler Equation. CoRR (2023)
Shadi Haddad, Pansie Khodary, Abhishek Halder
Exact Computation of LTI Reach Set From Integrator Reach Set With Bounded Input. IEEE Control. Syst. Lett. 7 (2023)
Iman Nodozi, Abhishek Halder
Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators. CoRR (2022)
Alexis Teter, Iman Nodozi, Abhishek Halder
Proximal Mean Field Learning in Shallow Neural Networks. CoRR (2022)
Kenneth F. Caluya, Abhishek Halder
Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control With Nonlinear Drift. IEEE Trans. Autom. Control. 67 (3) (2022)
Shadi Haddad, Abhishek Halder
Hausdorff Distance between Norm Balls and their Linear Maps. CoRR (2022)
Shadi Haddad, Abhishek Halder
Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets. CoRR (2022)
Shadi Haddad, Abhishek Halder
Certifying the Intersection of Reach Sets of Integrator Agents with Set-valued Input Uncertainties. CoRR (2022)
Iman Nodozi, Abhishek Halder
Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators. CDC (2022)
Iman Nodozi, Jared O'Leary, Ali Mesbah, Abhishek Halder
A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly. CoRR (2022)
Iman Nodozi, Abhishek Halder
A Distributed Algorithm for Measure-valued Optimization with Additive Objective. CoRR (2022)
Shadi Haddad, Abhishek Halder
Certifying the Intersection of Reach Sets of Integrator Agents With Set-Valued Input Uncertainties. IEEE Control. Syst. Lett. 6 (2022)
Shadi Haddad, Abhishek Halder
Boundary and Taxonomy of Integrator Reach Sets. ACC (2022)
Shadi Haddad, Abhishek Halder, Baljeet Singh
Density-Based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving. IEEE Trans. Control. Syst. Technol. 30 (6) (2022)
Abhishek Halder
Smallest Ellipsoid Containing $p$-Sum of Ellipsoids With Application to Reachability Analysis. IEEE Trans. Autom. Control. 66 (6) (2021)
Shadi Haddad, Abhishek Halder
The Curious Case of Integrator Reach Sets, Part I: Basic Theory. CoRR (2021)
Shadi Haddad, Abhishek Halder
Anytime ellipsoidal over-approximation of forward reach sets of uncertain linear systems. CAADCPS@CPSIoTWeek (2021)
Shadi Haddad, Kenneth F. Caluya, Abhishek Halder, Baljeet Singh
Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving. ACC (2021)
Kenneth F. Caluya, Abhishek Halder
Reflected Schrödinger Bridge: Density Control with Path Constraints. ACC (2021)
Isin M. Balci, Abhishek Halder, Efstathios Bakolas
On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost. CDC (2021)
Abhishek Halder, Kenneth F. Caluya, Pegah Ojaghi, Xinbo Geng
Stochastic Uncertainty Propagation in Power System Dynamics using Measure-valued Proximal Recursions. CoRR (2021)
Abhishek Halder, Ramandeep Singh, Ashish Suri, Deepak Joshi
Predicting State Transition in Freezing of Gait via Acceleration Measurements for Controlled Cueing in Parkinson's Disease. IEEE Trans. Instrum. Meas. 70 (2021)
Isin M. Balci, Abhishek Halder, Efstathios Bakolas
On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost. CoRR (2021)
Shadi Haddad, Abhishek Halder
The Boundary and Taxonomy of Integrator Reach Sets. CoRR (2021)
Shadi Haddad, Abhishek Halder
Anytime Ellipsoidal Over-approximation of Forward Reach Sets of Uncertain Linear Systems. CoRR (2021)
Shadi Haddad, Kenneth F. Caluya, Abhishek Halder, Baljeet Singh
Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving. IEEE Control. Syst. Lett. 5 (6) (2021)
Kenneth F. Caluya, Abhishek Halder
Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems. ACC (2020)
Kenneth F. Caluya, Abhishek Halder
Reflected Schrödinger Bridge: Density Control with Path Constraints. CoRR (2020)
Kenneth F. Caluya, Abhishek Halder
Gradient Flow Algorithms for Density Propagation in Stochastic Systems. IEEE Trans. Autom. Control. 65 (10) (2020)
Shadi Haddad, Kenneth F. Caluya, Abhishek Halder, Baljeet Singh
Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving. CoRR (2020)
Walid Krichene, Kenneth F. Caluya, Abhishek Halder
Global Convergence of Second-order Dynamics in Two-layer Neural Networks. CoRR (2020)
Zahra Askarzadeh, Rui Fu, Abhishek Halder, Yongxin Chen, Tryphon T. Georgiou
Stability Theory of Stochastic Models in Opinion Dynamics. IEEE Trans. Autom. Control. 65 (2) (2020)
Abhishek Halder, Kenneth F. Caluya, Bertrand Travacca, Scott J. Moura
Hopfield Neural Network Flow: A Geometric Viewpoint. IEEE Trans. Neural Networks Learn. Syst. 31 (11) (2020)
Shadi Haddad, Abhishek Halder
The Convex Geometry of Integrator Reach Sets. ACC (2020)
Shadi Haddad, Abhishek Halder, Baljeet Singh
Density-based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving. CoRR (2020)
Kenneth F. Caluya, Abhishek Halder
Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift. CoRR (2019)
Kenneth F. Caluya, Abhishek Halder
Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems. CoRR (2019)
Abhishek Halder
DeGroot-Friedkin Map in Opinion Dynamics Is Mirror Descent. IEEE Control. Syst. Lett. 3 (2) (2019)
Abhishek Halder, Kenneth F. Caluya, Bertrand Travacca, Scott J. Moura
Hopfield Neural Network Flow: A Geometric Viewpoint. CoRR (2019)
Abhishek Halder, Tryphon T. Georgiou
Proximal Recursion for the Wonham Filter. CoRR (2019)
Kenneth F. Caluya, Abhishek Halder
Proximal Recursion for Solving the Fokker-Planck Equation. ACC (2019)
Kenneth F. Caluya, Abhishek Halder
Gradient Flow Algorithms for Density Propagation in Stochastic Systems. CoRR (2019)
Zahra Askarzadeh, Rui Fu, Abhishek Halder, Yongxin Chen, Tryphon T. Georgiou
Opinion Dynamics over Influence Networks. ACC (2019)
Fernando A. C. C. Fontes, Abhishek Halder, Jorge A. Becerril, P. R. Kumar
Optimal Control of Thermostatic Loads for Planning Aggregate Consumption: Characterization of Solution and Explicit Strategies. IEEE Control. Syst. Lett. 3 (4) (2019)
Abhishek Halder, Tryphon T. Georgiou
Proximal Recursion for the Wonham Filter. CDC (2019)
Kenneth F. Caluya, Abhishek Halder
Finite Horizon Density Control for Static State Feedback Linearizable Systems. CoRR (2019)
Abhishek Halder
DeGroot-Friedkin Map in Opinion Dynamics is Mirror Descent. CoRR (2018)
Abhishek Halder
Smallest Ellipsoid Containing p-Sum of Ellipsoids with Application to Reachability Analysis. CoRR (2018)
Abhishek Halder
On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids. CoRR (2018)
Abhishek Halder, Tryphon T. Georgiou
Gradient Flows in Filtering and Fisher-Rao Geometry. ACC (2018)
Abhishek Halder
On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids. CDC (2018)
Abhishek Halder, Tryphon T. Georgiou
Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems. CoRR (2017)
Zahra Askarzadeh, Rui Fu, Abhishek Halder, Yongxin Chen, Tryphon T. Georgiou
Stability Theory in $\ell_1$ for Nonlinear Markov Chains and Stochastic Models for Opinion Dynamics over Influence Networks. CoRR (2017)
Abhishek Halder, Tryphon T. Georgiou
Gradient Flows in Filtering and Fisher-Rao Geometry. CoRR (2017)
Abhishek Halder, Tryphon T. Georgiou
Gradient flows in uncertainty propagation and filtering of linear Gaussian systems. CDC (2017)
Abhishek Halder, Xinbo Geng, P. R. Kumar, Le Xie
Architecture and Algorithms for Privacy Preserving Thermal Inertial Load Management by A Load Serving Entity. CoRR (2016)
Abhishek Halder, Eric D. B. Wendel
Finite horizon linear quadratic Gaussian density regulator with Wasserstein terminal cost. ACC (2016)
Abhishek Halder, Xinbo Geng, Gaurav Sharma, Le Xie, P. R. Kumar
A control system framework for privacy preserving demand response of thermal inertial loads. SmartGridComm (2015)
Parikshit Dutta, Abhishek Halder, Raktim Bhattacharya
Nonlinear estimation with Perron-Frobenius operator and Karhunen-Loève expansion. IEEE Trans. Aerosp. Electron. Syst. 51 (4) (2015)
Kooktae Lee, Abhishek Halder, Raktim Bhattacharya
Performance and robustness analysis of stochastic jump linear systems using Wasserstein metric. Autom. 51 (2015)
Kooktae Lee, Abhishek Halder, Raktim Bhattacharya
Probabilistic robustness analysis of stochastic jump linear systems. ACC (2014)
Abhishek Halder, Raktim Bhattacharya
Probabilistic model validation for uncertain nonlinear systems. Autom. 50 (8) (2014)
Abhishek Halder, Kooktae Lee, Raktim Bhattacharya
A Probabilistic Method for Nonlinear Robustness Analysis of F-16 Controllers. CoRR (2014)
Abhishek Halder, Raktim Bhattacharya
Probabilistic Model Validation for Uncertain Nonlinear Systems. CoRR (2014)
Kooktae Lee, Abhishek Halder, Raktim Bhattacharya
Probabilistic Robustness Analysis of Stochastic Jump Linear Systems. CoRR (2014)
Kooktae Lee, Abhishek Halder, Raktim Bhattacharya
Robustness Analysis of Stochastic Jumps and Design of Resource-Optimal Switching Policies for Cyber-Physical Systems. CoRR (2014)
Abhishek Halder, Kooktae Lee, Raktim Bhattacharya
A dynamical system pair with identical first two moments but different probability densities. CDC (2014)
Abhishek Halder, Raktim Bhattacharya
Geodesic Density Tracking with Applications to Data Driven Modeling. CoRR (2014)
Kooktae Lee, Abhishek Halder, Raktim Bhattacharya
Mean Square Stability for Stochastic Jump Linear Systems via Optimal Transport. CoRR (2014)
Abhishek Halder, Raktim Bhattacharya
Geodesic density tracking with applications to data driven modeling. ACC (2014)
Parikshit Dutta, Abhishek Halder, Raktim Bhattacharya
Nonlinear filtering with transfer operator. ACC (2013)
Abhishek Halder, Raktim Bhattacharya
Frequency domain model validation in Wasserstein metric. ACC (2013)
Abhishek Halder, Kooktae Lee, Raktim Bhattacharya
Probabilistic robustness analysis of F-16 controller performance: An optimal transport approach. ACC (2013)
Parikshit Dutta, Abhishek Halder, Raktim Bhattacharya
Uncertainty quantification for stochastic nonlinear systems using Perron-Frobenius operator and Karhunen-Loève expansion. CCA (2012)
Abhishek Halder, Raktim Bhattacharya
Further results on probabilistic model validation in Wasserstein metric. CDC (2012)
Tamás Kalmár-Nagy, Pankaj Wahi, Abhishek Halder
Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing. SIAM J. Appl. Dyn. Syst. 10 (2) (2011)
Sayan Ghosh, Abhishek Halder, Manoranjan Sinha
Micro air vehicle path planning in fuzzy quadtree framework. Appl. Soft Comput. 11 (8) (2011)
Abhishek Halder, Raktim Bhattacharya
Model validation: A probabilistic formulation. CDC/ECC (2011)
Siming Zhao, Abhishek Halder, Tamás Kalmár-Nagy
Leader-follower dynamics for unicycles. ACC (2009)
Sumit Chauhan, Chetan Patil, Abhishek Halder, Manoranjan Sinha
FLIER: A Novel Sensor Fusion Algorithm. ICIIS (2008)
Abhishek Halder, Sayan Ghosh, Manoranjan Sinha
Fuzzy Quadtree Based Path Planner and Trajectory Smoother for a Low Cost Unmanned Aerial Vehicle. IICAI (2007)