Publications
Preprint
0. Schrödinger Bridge with Quadratic State Cost is Exactly Solvable
A.M.H. Teter, W. Wang and A. Halder
0. Stochastic Learning of Computational Resource Usage as Graph Structured Multimarginal Schrödinger Bridge
G.A. Bondar, R. Gifford, L.T.X. Phan and A. Halder
0. Wasserstein Consensus ADMM
I. Nodozi, and A. Halder
0. Global Convergence of Second-order Dynamics in Two-layer Neural Networks
W. Krichene, K.F. Caluya, and A. Halder
0. Finite Horizon Density Control for Static State Feedback Linearizable Systems
K.F. Caluya, and A. Halder
2024
77. Probabilistic Lambert Problem: Connections with Optimal Mass Transport, Schrödinger Bridge and Reaction-Diffusion PDEs
SIAM Journal on Applied Dynamical Systems
A.M.H. Teter, I. Nodozi and A. Halder
76. Weyl Calculus and Exactly Solvable Schrödinger Bridges with Quadratic State Cost
60th Annual Allerton Conference 2024
A.M.H. Teter, W. Wang and A. Halder
Invited paper in Session 'Duality in Control, Inference, and Learning'
75. Solution of the Probabilistic Lambert's Problem: Optimal Transport Approach
Mathematical Theory of Networks and Systems (MTNS) 2024
A.M.H. Teter, I. Nodozi and A. Halder
Invited paper in Session 'Optimal transport'
74. Path Structured Multimarginal Schrödinger Bridge for Probabilistic Learning of Hardware Resource Usage by Control Software
ACC 2024
G.A. Bondar, R. Gifford, L.T.X. Phan and A. Halder
2023
73. Exact Computation of LTI Reach Set from Integrator Reach Set with Bounded Input
IEEE Control Systems Letters (also in ACC 2024)
S. Haddad, P. Khodary, and A. Halder
72. Proximal Mean Field Learning in Shallow Neural Networks
Transactions on Machine Learning Research
A.M.H. Teter, I. Nodozi, and A. Halder
71. Neural Schrödinger Bridge with Sinkhorn Losses: Application to Data-driven Minimum Effort Control of Colloidal Self-assembly
IEEE Transactions on Control Systems Technology
I. Nodozi, C. Yan, M. Khare, A. Halder, and A. Mesbah
70. On the Contraction Coefficient of the Schrödinger Bridge for Stochastic Linear Systems
IEEE Control Systems Letters (also in ACC 2024)
A.M.H. Teter, Y. Chen, and A. Halder
69. A Note on the Hausdorff Distance between Norm Balls and their Linear Maps
Set-Valued and Variational Analysis
S. Haddad, and A. Halder
68. Optimal Mass Transport over the Euler Equation
CDC 2023
C. Yan, I. Nodozi, and A. Halder
Invited paper in Session 'Optimal Transport: Theory and Applications in Systems and Control'
67. A Controlled Mean Field Model for Chiplet Population Dynamics
IEEE Control Systems Letters (also in CDC 2023)
I. Nodozi, A. Halder, and I. Matei
66. The Curious Case of Integrator Reach Sets, Part I: Basic Theory
IEEE Transactions on Automatic Control
S. Haddad, and A. Halder
65. Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets
ACC 2023
S. Haddad, and A. Halder
64. A Physics-informed Deep Learning Approach for Minimum Effort Stochastic Control of Colloidal Self-Assembly
ACC 2023
I. Nodozi, J. O'Leary, A. Mesbah, and A. Halder
2024 O. Hugo Schuck Best Application Paper Award
Invited paper in Session 'Learning and Stochastic Optimal Control'
2022
63. Stochastic Uncertainty Propagation in Power System Dynamics using Measure-valued Proximal Recursions
IEEE Transactions on Power Systems
A. Halder, K.F. Caluya, P. Ojaghi, and X. Geng
62. Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators
CDC 2022
I. Nodozi, and A. Halder
61. A Distributed Algorithm for Measure-valued Optimization with Additive Objective
Mathematical Theory of Networks and Systems (MTNS) 2022
I. Nodozi, and A. Halder
Invited paper in Session 'Optimal transport: Theory and applications in networks and systems'
60. Certifying the Intersection of Reach Sets of Integrator Agents with Set-valued Input Uncertainties
IEEE Control Systems Letters (also in CDC 2022)
S. Haddad, and A. Halder
59. Boundary and Taxonomy of Integrator Reach Sets
ACC 2022
S. Haddad, and A. Halder
58. Density-based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving
IEEE Transactions on Control Systems Technology
S. Haddad, A. Halder, and B. Singh
2021
57. On the Convexity of Discrete Time Covariance Steering in Stochastic Linear Systems with Wasserstein Terminal Cost
CDC 2021
I.M. Balci, A. Halder, and E. Bakolas
56. Anytime Ellipsoidal Over-approximation of Forward Reach Sets of Uncertain Linear Systems
Workshop on Computation-Aware Algorithmic Design for Cyber-Physical systems, CPS-IoT week 2021
S. Haddad, and A. Halder
55. Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift
IEEE Transactions on Automatic Control
K.F. Caluya, and A. Halder
54. Reflected Schrödinger Bridge: Density Control with Path Constraints
ACC 2021
K.F. Caluya, and A. Halder
2020
53. Prediction and Optimal Feedback Steering of Probability Density Functions for Safe Automated Driving
IEEE Control Systems Letters (also in ACC 2021)
S. Haddad, K.F. Caluya, A. Halder, and B. Singh
52. Smallest Ellipsoid Containing \(p\)-sum of Ellipsoids with Application to Reachability Analysis
IEEE Transactions on Automatic Control
A. Halder
51. The Convex Geometry of Integrator Reach Sets
ACC 2020
Some calculation details
S. Haddad, and A. Halder
50. Finite Horizon Density Steering for Multi-input
State Feedback Linearizable Systems
ACC 2020
K.F. Caluya, and A. Halder
49. Hopfield Neural Network Flow: A Geometric Viewpoint
IEEE Transactions on Neural Networks and Learning Systems
A. Halder, K.F. Caluya, B. Travacca, and S.J. Moura
48. Gradient Flow Algorithms for Density Propagation in Stochastic Systems
IEEE Transactions on Automatic Control
K.F. Caluya, and A. Halder
2019
47. Proximal Recursion for the Wonham Filter
CDC 2019
A. Halder, and T.T. Georgiou
Invited paper in Session 'Advances in Nonlinear Filtering and Stochastic Control with Partial Information I'
46. Optimal Control of Thermostatic Loads for Planning Aggregate Consumption: Characterization of Solution and Explicit Strategies
IEEE Control Systems Letters (also in CDC 2019)
F.A.C.C. Fontes, A. Halder, J. Becerril, and P.R. Kumar
45. Stability Theory of Stochastic Models in Opinion Dynamics
IEEE Transactions on Automatic Control
Z. Askarzadeh, R. Fu, A. Halder, Y. Chen and T.T. Georgiou
44. DeGroot-Friedkin Map in Opinion Dynamics is Mirror Descent
IEEE Control Systems Letters
A. Halder
43. Proximal Recursion for Solving the Fokker-Planck Equation
ACC 2019
K.F. Caluya, and A. Halder
42. Stability Analysis of Opinion Dynamics over Influence Networks
ACC 2019
Z. Askarzadeh, R. Fu, A. Halder, Y. Chen, and T.T. Georgiou
41. CPAR Control Theory and Automation Symposium
IEEE Control Systems Magazine
A. Halder, and R.G. Sanfelice
2018
40. Optimal Power Consumption for Demand Response of Thermostatically Controlled Loads
Optimal Control Applications and Methods
A. Halder, X. Geng, F.A.C.C. Fontes, P.R. Kumar and L. Xie
39. On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids
CDC 2018
A. Halder
38. Gradient Flows in Filtering and Fisher-Rao Geometry
ACC 2018
A. Halder and T.T. Georgiou
Invited paper in Session 'Filtering'
2017
37. Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems
CDC 2017
A. Halder and T.T. Georgiou
36. Architecture and Algorithms for Privacy Preserving Thermal Inertial Load Management by A Load Serving Entity
IEEE Transactions on Power Systems
A. Halder, X. Geng, P.R. Kumar and L. Xie
Paper selected by the IEEE Power & Energy Society (PES) Technical Committee for presentation in 2017 PES General Meeting
2016
35. Finite Horizon Linear Quadratic Gaussian Density Regulator with Wasserstein Terminal Cost
ACC 2016
A. Halder and E.D.B. Wendel
2015
34. Pontryagin's Method of Indirect Adjoints
for Optimal Control with State Inequality Constraints: A Concrete Example
A. Halder
33. A Control System Framework for Privacy Preserving Demand Response of Thermal Inertial Loads
SmartGridComm 2015
A. Halder, X. Geng, G. Sharma, L. Xie, and P.R. Kumar
32. Nonlinear Estimation with Perron-Frobenius Operator and Karhunen-Loève Expansion
IEEE Transactions on Aerospace and Electronic Systems
P. Dutta, A. Halder, and R. Bhattacharya
31. Optimal Transport Approach for Probabilistic Robustness Analysis of F-16 Controllers
Journal of Guidance, Control and Dynamics
A. Halder, K. Lee and R. Bhattacharya
30. Performance and Robustness Analysis of Stochastic Jump Linear Systems using Wasserstein Metric
Automatica
K. Lee, A. Halder and R. Bhattacharya
2014
29. A Dynamical System Pair with
Identical First Two Moments But Different Probability Densities
CDC 2014
A. Halder, K. Lee and R. Bhattacharya
Invited paper in Session 'Modeling'
28. Probabilistic Model Validation for Uncertain Nonlinear Systems
Automatica
A. Halder and R. Bhattacharya
27. Geodesic Density Tracking with Applications to Data Driven Modeling
ACC 2014
A. Halder and R. Bhattacharya
Invited paper in Session 'Dynamic Data-driven Application Systems'
26. Probabilistic Robustness Analysis of Stochastic Jump Linear Systems
ACC 2014
K. Lee, A. Halder and R. Bhattacharya
2013
25. Probabilistic Robustness Analysis of F-16 Controller Performance: An Optimal Transport Approach
ACC 2013
A. Halder, K. Lee and R. Bhattacharya
24. Nonlinear Filtering with Transfer Operator
ACC 2013
P. Dutta, A. Halder and R. Bhattacharya
Best presentation in Session 'Filtering' Award in 2013 ACC
23. Frequency Domain Model Validation in Wasserstein Metric
ACC 2013
A. Halder and R. Bhattacharya
2012
22. Further Results on Probabilistic Model Validation in Wasserstein Metric
CDC 2012
A. Halder and R. Bhattacharya
21. Uncertainty Quantification for Stochastic Nonlinear Systems using Perron-Frobenius Operator and Karhunen-Loève Expansion
MSC 2012
P. Dutta, A. Halder and R. Bhattacharya
2011
20. Model Validation: A Probabilistic Formulation
CDC 2011
A. Halder and R. Bhattacharya
19. Performance Bounds for Dispersion Analysis: A Comparison Between Monte Carlo and Perron-Frobenius Operator Approach
A. Halder and R. Bhattacharya
18. Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing
SIAM Journal on Applied Dynamical Systems
T. Kalmar-Nagy, P. Wahi and A. Halder
17. Dispersion Analysis in Hypersonic Flight During Planetary Entry Using Stochastic Liouville Equation
Journal of Guidance, Control and Dynamics
A. Halder and R. Bhattacharya
16. Micro Air Vehicle Path Planning in Fuzzy Quadtree Framework
Applied Soft Computing
S. Ghosh, A. Halder and M. Sinha
2010
15. Beyond Monte Carlo: A Computational Framework for Uncertainty Propagation in Planetary Entry, Descent and Landing
GNC 2010
A. Halder and R. Bhattacharya
2009
14. Nonlinear Dynamics of Unicycles in Leader-Follower Formation
Communications in Nonlinear Science and Numerical Simulations
S. Zhao, A. Halder and T. Kalmar-Nagy
13. Fuzzy State Noise Driven Kalman Filter for Sensor Fusion
Journal of Aerospace Engineering, Proceedings of the Institution of Mechanical Engineers, Part G
S. Chauhan, C. Patil, M. Sinha and A. Halder
12. Leader-Follower Dynamics for Unicycles
ACC 2009
S. Zhao, A. Halder and T. Kalmar-Nagy
11. Nonlinear Dynamics of Unicycles in Leader-Follower Formation
8th MSU-UAB Conference on Differential Equations and Computational Simulations, 2009
S. Zhao, A. Halder and T. Kalmar-Nagy
10. Delay Tuned Phase Locking in A Pair of Coupled Limit Cycle Oscillators
6th International Conference on Mathematical Modeling (MATHMOD), 2009
T. Kalmar-Nagy, A. Halder and S. Zhao
2008
9. Determination of Inertial Characteristics of A High Wing Unmanned Air Vehicle
Journal of Institute of Engineers (India)
A. Halder, R. Garhwal, V. Agarwal and M. Sinha
8. FLIER: A Novel Sensor Fusion Algorithm
3rd IEEE International Conference on Industrial and Information Systems, 2008
S. Chauhan, C. Patil, A. Halder and M. Sinha
7. Lunar Satellite Observation Vector Construction using Non-rotating Origin and IAU2000A Precession-Nutation Model
Conference on Advances in Space Science and Technology, 2008
M. Sinha, A. Halder, R. Garhwal, N. S. Gopinath and N. K. Malik
6. Lunar Gravity Field Modeling: A Critical Survey
Conference on Advances in Space Science and Technology, 2008
M. Sinha, A. Halder, R. Garhwal, A. K. Ghosh, N. S. Gopinath and N. K. Malik
2007
5. Inertial Characterization of Unmanned Aerial Vehicle AX-1
4th International Conference on Theoretical, Applied, Computational and Experimental Mechanics, 2007
V. Agarwal, A. Halder, R. Garhwal, A. Gupta, S. Ghosh, S. Saxena and M. Sinha
4. Fuzzy Quadtree based Path Planner and Trajectory Smoother for A Low Cost Unmanned Aerial Vehicle
3rd Indian International Conference on Artificial Intelligence, 2007
A. Halder, S. Ghosh and M. Sinha
3. Sensitivity Analysis using Neural Network for Estimating Aircraft Stability and Control Derivatives
IEEE International Conference on Intelligent and Advanced Systems, 2007
R. Garhwal, A. Halder and M. Sinha
2. An Adaptive Fuzzy State Noise Driven Extended Kalman filter for Real-time Orbit Determination
58th International Astronautical Congress, 2007
R. Garhwal, A. Halder and M. Sinha
1. Path Planning for A Fixed Wing Micro Air Vehicle in Fuzzy Quadtree Framework
7th European Micro Air Vehicle Conference, 2007
S. Ghosh, A. Halder and M. Sinha
