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2020 – today
- 2025
[j23]Alexis M. H. Teter, Iman Nodozi, Abhishek Halder:
Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge, and Reaction-Diffusion PDEs. SIAM J. Appl. Dyn. Syst. 24(1): 16-43 (2025)- [i48]Robert Gifford, Abby Eisenklam, Georgiy A. Bondar, Yifan Cai, Tushar Sial, Linh Thi Xuan Phan, Abhishek Halder:
CORD: Co-design of Resource Allocation and Deadline Decomposition with Generative Profiling. CoRR abs/2501.08484 (2025) - 2024
- [j22]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): 960-973 (2024) - [j21]Alexis Teter, Iman Nodozi, Abhishek Halder:
Proximal Mean Field Learning in Shallow Neural Networks. Trans. Mach. Learn. Res. 2024 (2024) - [c33]Alexis M. H. Teter, Wenqing Wang, Abhishek Halder:
Weyl Calculus and Exactly Solvable Schrödinger Bridges with Quadratic State Cost. Allerton 2024: 1-8 - [c32]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. ACC 2024: 4693-4698 - [i47]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 abs/2401.07961 (2024) - [i46]Alexis M. H. Teter, Iman Nodozi, Abhishek Halder:
Solution of the Probabilistic Lambert's Problem: Optimal Transport Approach. CoRR abs/2402.01209 (2024) - [i45]Georgiy A. Bondar, Robert Gifford, Linh Thi Xuan Phan, Abhishek Halder:
Stochastic Learning of Computational Resource Usage as Graph Structured Multimarginal Schrödinger Bridge. CoRR abs/2405.12463 (2024) - [i44]Alexis M. H. Teter, Wenqing Wang, Abhishek Halder:
Schrödinger Bridge with Quadratic State Cost is Exactly Solvable. CoRR abs/2406.00503 (2024) - [i43]Alexis M. H. Teter, Wenqing Wang, Abhishek Halder:
Weyl Calculus and Exactly Solvable Schrödinger Bridges with Quadratic State Cost. CoRR abs/2407.15245 (2024) - [i42]Sachin Shivakumar, Georgiy A. Bondar, Gabriel Khan, Abhishek Halder:
Sum-of-Squares Programming for Ma-Trudinger-Wang Regularity of Optimal Transport Maps. CoRR abs/2412.13372 (2024) - 2023
- [j20]Iman Nodozi, Abhishek Halder, Ion Matei:
A Controlled Mean Field Model for Chiplet Population Dynamics. IEEE Control. Syst. Lett. 7: 1825-1830 (2023) - [j19]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: 3325-3330 (2023) - [j18]Shadi Haddad, Pansie Khodary, Abhishek Halder:
Exact Computation of LTI Reach Set From Integrator Reach Set With Bounded Input. IEEE Control. Syst. Lett. 7: 3980-3985 (2023) - [j17]Shadi Haddad, Abhishek Halder:
The Curious Case of Integrator Reach Sets, Part I: Basic Theory. IEEE Trans. Autom. Control. 68(11): 6680-6695 (2023) - [c31]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: 609-615 - [c30]Shadi Haddad, Abhishek Halder:
Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets. ACC 2023: 4581-4586 - [c29]Charlie Yan, Iman Nodozi, Abhishek Halder:
Optimal Mass Transport over the Euler Equation. CDC 2023: 6819-6826 - [i41]Iman Nodozi, Abhishek Halder, Ion Matei:
A Controlled Mean Field Model for Chiplet Population Dynamics. CoRR abs/2303.10564 (2023) - [i40]Charlie Yan, Iman Nodozi, Abhishek Halder:
Optimal Mass Transport over the Euler Equation. CoRR abs/2304.00595 (2023) - [i39]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 abs/2307.14442 (2023) - [i38]Alexis M. H. Teter, Yongxin Chen, Abhishek Halder:
On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems. CoRR abs/2309.06622 (2023) - [i37]Shadi Haddad, Pansie Khodary, Abhishek Halder:
Exact Computation of LTI Reach Set from Integrator Reach Set with Bounded Input. CoRR abs/2309.08222 (2023) - [i36]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 abs/2310.00604 (2023) - 2022
- [j16]Shadi Haddad, Abhishek Halder:
Certifying the Intersection of Reach Sets of Integrator Agents With Set-Valued Input Uncertainties. IEEE Control. Syst. Lett. 6: 2852-2857 (2022) - [j15]Kenneth F. Caluya, Abhishek Halder:
Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control With Nonlinear Drift. IEEE Trans. Autom. Control. 67(3): 1163-1178 (2022) - [j14]Shadi Haddad, Abhishek Halder, Baljeet Singh:
Density-Based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving. IEEE Trans. Control. Syst. Technol. 30(6): 2406-2419 (2022) - [c28]Shadi Haddad, Abhishek Halder:
Boundary and Taxonomy of Integrator Reach Sets. ACC 2022: 4133-4138 - [c27]Iman Nodozi, Abhishek Halder:
Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators. CDC 2022: 2953-2960 - [i35]Iman Nodozi, Abhishek Halder:
A Distributed Algorithm for Measure-valued Optimization with Additive Objective. CoRR abs/2202.08930 (2022) - [i34]Iman Nodozi, Abhishek Halder:
Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators. CoRR abs/2202.09734 (2022) - [i33]Shadi Haddad, Abhishek Halder:
Certifying the Intersection of Reach Sets of Integrator Agents with Set-valued Input Uncertainties. CoRR abs/2203.12007 (2022) - [i32]Shadi Haddad, Abhishek Halder:
Hausdorff Distance between Norm Balls and their Linear Maps. CoRR abs/2206.12012 (2022) - [i31]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 abs/2208.09182 (2022) - [i30]Shadi Haddad, Abhishek Halder:
Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets. CoRR abs/2210.01919 (2022) - [i29]Alexis Teter, Iman Nodozi, Abhishek Halder:
Proximal Mean Field Learning in Shallow Neural Networks. CoRR abs/2210.13879 (2022) - 2021
- [j13]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): 2168-2173 (2021) - [j12]Abhishek Halder:
Smallest Ellipsoid Containing $p$-Sum of Ellipsoids With Application to Reachability Analysis. IEEE Trans. Autom. Control. 66(6): 2512-2525 (2021) - [j11]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: 1-16 (2021) - [c26]Kenneth F. Caluya, Abhishek Halder:
Reflected Schrödinger Bridge: Density Control with Path Constraints. ACC 2021: 1137-1142 - [c25]Shadi Haddad, Kenneth F. Caluya, Abhishek Halder, Baljeet Singh:
Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving. ACC 2021: 2956-2961 - [c24]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: 2318-2323 - [c23]Shadi Haddad, Abhishek Halder:
Anytime ellipsoidal over-approximation of forward reach sets of uncertain linear systems. CAADCPS@CPSIoTWeek 2021: 20-25 - [i28]Shadi Haddad, Abhishek Halder:
The Curious Case of Integrator Reach Sets, Part I: Basic Theory. CoRR abs/2102.11423 (2021) - [i27]Shadi Haddad, Abhishek Halder:
Anytime Ellipsoidal Over-approximation of Forward Reach Sets of Uncertain Linear Systems. CoRR abs/2103.04545 (2021) - [i26]Isin M. Balci, Abhishek Halder, Efstathios Bakolas:
On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost. CoRR abs/2103.13579 (2021) - [i25]Abhishek Halder, Kenneth F. Caluya, Pegah Ojaghi, Xinbo Geng:
Stochastic Uncertainty Propagation in Power System Dynamics using Measure-valued Proximal Recursions. CoRR abs/2108.13405 (2021) - [i24]Shadi Haddad, Abhishek Halder:
The Boundary and Taxonomy of Integrator Reach Sets. CoRR abs/2109.00595 (2021) - 2020
- [j10]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): 522-533 (2020) - [j9]Kenneth F. Caluya, Abhishek Halder:
Gradient Flow Algorithms for Density Propagation in Stochastic Systems. IEEE Trans. Autom. Control. 65(10): 3991-4004 (2020) - [j8]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): 4869-4880 (2020) - [c22]Kenneth F. Caluya, Abhishek Halder:
Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems. ACC 2020: 3577-3582 - [c21]Shadi Haddad, Abhishek Halder:
The Convex Geometry of Integrator Reach Sets. ACC 2020: 4466-4471 - [i23]Kenneth F. Caluya, Abhishek Halder:
Reflected Schrödinger Bridge: Density Control with Path Constraints. CoRR abs/2003.13895 (2020) - [i22]Shadi Haddad, Abhishek Halder, Baljeet Singh:
Density-based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving. CoRR abs/2006.12581 (2020) - [i21]Walid Krichene, Kenneth F. Caluya, Abhishek Halder:
Global Convergence of Second-order Dynamics in Two-layer Neural Networks. CoRR abs/2007.06852 (2020) - [i20]Shadi Haddad, Kenneth F. Caluya, Abhishek Halder, Baljeet Singh:
Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving. CoRR abs/2009.09055 (2020)
2010 – 2019
- 2019
- [j7]Abhishek Halder:
DeGroot-Friedkin Map in Opinion Dynamics Is Mirror Descent. IEEE Control. Syst. Lett. 3(2): 463-468 (2019) - [j6]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): 877-882 (2019) - [c20]Zahra Askarzadeh, Rui Fu, Abhishek Halder, Yongxin Chen, Tryphon T. Georgiou:
Opinion Dynamics over Influence Networks. ACC 2019: 1873-1878 - [c19]Kenneth F. Caluya, Abhishek Halder:
Proximal Recursion for Solving the Fokker-Planck Equation. ACC 2019: 4098-4103 - [c18]Abhishek Halder, Tryphon T. Georgiou:
Proximal Recursion for the Wonham Filter. CDC 2019: 660-665 - [i19]Kenneth F. Caluya, Abhishek Halder:
Finite Horizon Density Control for Static State Feedback Linearizable Systems. CoRR abs/1904.02272 (2019) - [i18]Kenneth F. Caluya, Abhishek Halder:
Gradient Flow Algorithms for Density Propagation in Stochastic Systems. CoRR abs/1908.00533 (2019) - [i17]Abhishek Halder, Kenneth F. Caluya, Bertrand Travacca, Scott J. Moura:
Hopfield Neural Network Flow: A Geometric Viewpoint. CoRR abs/1908.01270 (2019) - [i16]Abhishek Halder, Tryphon T. Georgiou:
Proximal Recursion for the Wonham Filter. CoRR abs/1909.05827 (2019) - [i15]Kenneth F. Caluya, Abhishek Halder:
Finite Horizon Density Steering for Multi-input State Feedback Linearizable Systems. CoRR abs/1909.12511 (2019) - [i14]Kenneth F. Caluya, Abhishek Halder:
Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift. CoRR abs/1912.01244 (2019) - 2018
- [c17]Abhishek Halder, Tryphon T. Georgiou:
Gradient Flows in Filtering and Fisher-Rao Geometry. ACC 2018: 4281-4286 - [c16]Abhishek Halder:
On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids. CDC 2018: 4040-4045 - [i13]Abhishek Halder:
On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids. CoRR abs/1803.08157 (2018) - [i12]Abhishek Halder:
Smallest Ellipsoid Containing p-Sum of Ellipsoids with Application to Reachability Analysis. CoRR abs/1806.07621 (2018) - [i11]Abhishek Halder:
DeGroot-Friedkin Map in Opinion Dynamics is Mirror Descent. CoRR abs/1812.11293 (2018) - 2017
- [c15]Abhishek Halder, Tryphon T. Georgiou:
Gradient flows in uncertainty propagation and filtering of linear Gaussian systems. CDC 2017: 3081-3088 - [i10]Abhishek Halder, Tryphon T. Georgiou:
Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems. CoRR abs/1704.00102 (2017) - [i9]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 abs/1706.03158 (2017) - [i8]Abhishek Halder, Tryphon T. Georgiou:
Gradient Flows in Filtering and Fisher-Rao Geometry. CoRR abs/1710.00064 (2017) - 2016
- [c14]Abhishek Halder, Eric D. B. Wendel:
Finite horizon linear quadratic Gaussian density regulator with Wasserstein terminal cost. ACC 2016: 7249-7254 - [i7]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 abs/1606.09564 (2016) - 2015
- [j5]Kooktae Lee, Abhishek Halder, Raktim Bhattacharya:
Performance and robustness analysis of stochastic jump linear systems using Wasserstein metric. Autom. 51: 341-347 (2015) - [j4]Parikshit Dutta, Abhishek Halder, Raktim Bhattacharya:
Nonlinear estimation with Perron-Frobenius operator and Karhunen-Loève expansion. IEEE Trans. Aerosp. Electron. Syst. 51(4): 3210-3225 (2015) - [c13]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: 181-186 - 2014
- [j3]Abhishek Halder, Raktim Bhattacharya:
Probabilistic model validation for uncertain nonlinear systems. Autom. 50(8): 2038-2050 (2014) - [c12]Abhishek Halder, Raktim Bhattacharya:
Geodesic density tracking with applications to data driven modeling. ACC 2014: 616-621 - [c11]Kooktae Lee, Abhishek Halder, Raktim Bhattacharya:
Probabilistic robustness analysis of stochastic jump linear systems. ACC 2014: 2638-2643 - [c10]Abhishek Halder, Kooktae Lee, Raktim Bhattacharya:
A dynamical system pair with identical first two moments but different probability densities. CDC 2014: 6044-6049 - [i6]Abhishek Halder, Raktim Bhattacharya:
Probabilistic Model Validation for Uncertain Nonlinear Systems. CoRR abs/1402.0140 (2014) - [i5]Abhishek Halder, Kooktae Lee, Raktim Bhattacharya:
A Probabilistic Method for Nonlinear Robustness Analysis of F-16 Controllers. CoRR abs/1402.0147 (2014) - [i4]Abhishek Halder, Raktim Bhattacharya:
Geodesic Density Tracking with Applications to Data Driven Modeling. CoRR abs/1402.1697 (2014) - [i3]Kooktae Lee, Abhishek Halder, Raktim Bhattacharya:
Robustness Analysis of Stochastic Jumps and Design of Resource-Optimal Switching Policies for Cyber-Physical Systems. CoRR abs/1403.2013 (2014) - [i2]Kooktae Lee, Abhishek Halder, Raktim Bhattacharya:
Probabilistic Robustness Analysis of Stochastic Jump Linear Systems. CoRR abs/1403.2411 (2014) - [i1]Kooktae Lee, Abhishek Halder, Raktim Bhattacharya:
Mean Square Stability for Stochastic Jump Linear Systems via Optimal Transport. CoRR abs/1403.2471 (2014) - 2013
- [c9]Parikshit Dutta, Abhishek Halder, Raktim Bhattacharya:
Nonlinear filtering with transfer operator. ACC 2013: 3069-3074 - [c8]Abhishek Halder, Kooktae Lee, Raktim Bhattacharya:
Probabilistic robustness analysis of F-16 controller performance: An optimal transport approach. ACC 2013: 5562-5567 - [c7]Abhishek Halder, Raktim Bhattacharya:
Frequency domain model validation in Wasserstein metric. ACC 2013: 5845-5850 - 2012
- [c6]Parikshit Dutta, Abhishek Halder, Raktim Bhattacharya:
Uncertainty quantification for stochastic nonlinear systems using Perron-Frobenius operator and Karhunen-Loève expansion. CCA 2012: 1449-1454 - [c5]Abhishek Halder, Raktim Bhattacharya:
Further results on probabilistic model validation in Wasserstein metric. CDC 2012: 5542-5547 - 2011
- [j2]Sayan Ghosh, Abhishek Halder, Manoranjan Sinha:
Micro air vehicle path planning in fuzzy quadtree framework. Appl. Soft Comput. 11(8): 4859-4865 (2011) - [j1]Tamás Kalmár-Nagy, Pankaj Wahi, Abhishek Halder:
Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing. SIAM J. Appl. Dyn. Syst. 10(2): 403-422 (2011) - [c4]Abhishek Halder, Raktim Bhattacharya:
Model validation: A probabilistic formulation. CDC/ECC 2011: 1692-1697
2000 – 2009
- 2009
- [c3]Siming Zhao, Abhishek Halder, Tamás Kalmár-Nagy:
Leader-follower dynamics for unicycles. ACC 2009: 1610-1615 - 2008
- [c2]Sumit Chauhan, Chetan Patil, Abhishek Halder, Manoranjan Sinha:
FLIER: A Novel Sensor Fusion Algorithm. ICIIS 2008: 1-6 - 2007
- [c1]Abhishek Halder, Sayan Ghosh, Manoranjan Sinha:
Fuzzy Quadtree Based Path Planner and Trajectory Smoother for a Low Cost Unmanned Aerial Vehicle. IICAI 2007: 763-778
Coauthor Index
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