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
Journal
32. 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
31. 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
30. Proximal Mean Field Learning in Shallow Neural Networks
Transactions on Machine Learning Research
A.M.H. Teter, I. Nodozi, and A. Halder
29. 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
28. 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
27. A Note on the Hausdorff Distance between Norm Balls and their Linear Maps
Set-Valued and Variational Analysis
S. Haddad, and A. Halder
26. A Controlled Mean Field Model for Chiplet Population Dynamics
IEEE Control Systems Letters (also in CDC 2023)
I. Nodozi, A. Halder, and I. Matei
25. The Curious Case of Integrator Reach Sets, Part I: Basic Theory
IEEE Transactions on Automatic Control
S. Haddad, and A. Halder
24. 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
23. 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
22. Density-based Stochastic Reachability Computation for Occupancy Prediction in Automated Driving
IEEE Transactions on Control Systems Technology
S. Haddad, A. Halder, and B. Singh
21. Wasserstein Proximal Algorithms for the Schrödinger Bridge Problem: Density Control with Nonlinear Drift
IEEE Transactions on Automatic Control
K.F. Caluya, and A. Halder
20. 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
19. Smallest Ellipsoid Containing \(p\)-sum of Ellipsoids with Application to Reachability Analysis
IEEE Transactions on Automatic Control
A. Halder
18. 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
17. Gradient Flow Algorithms for Density Propagation in Stochastic Systems
IEEE Transactions on Automatic Control
K.F. Caluya, and A. Halder
16. 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
15. 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
14. DeGroot-Friedkin Map in Opinion Dynamics is Mirror Descent
IEEE Control Systems Letters
A. Halder
13. CPAR Control Theory and Automation Symposium
IEEE Control Systems Magazine
A. Halder, and R.G. Sanfelice
12. 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
11. 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
10. Nonlinear Estimation with Perron-Frobenius Operator and Karhunen-Loève Expansion
IEEE Transactions on Aerospace and Electronic Systems
P. Dutta, A. Halder, and R. Bhattacharya
9. Optimal Transport Approach for Probabilistic Robustness Analysis of F-16 Controllers
Journal of Guidance, Control and Dynamics
A. Halder, K. Lee and R. Bhattacharya
8. Performance and Robustness Analysis of Stochastic Jump Linear Systems using Wasserstein Metric
Automatica
K. Lee, A. Halder and R. Bhattacharya
7. Probabilistic Model Validation for Uncertain Nonlinear Systems
Automatica
A. Halder and R. Bhattacharya
6. Dynamics of a Hysteretic Relay Oscillator with Periodic Forcing
SIAM Journal on Applied Dynamical Systems
T. Kalmar-Nagy, P. Wahi and A. Halder
5. Dispersion Analysis in Hypersonic Flight During Planetary Entry Using Stochastic Liouville Equation
Journal of Guidance, Control and Dynamics
A. Halder and R. Bhattacharya
4. Micro Air Vehicle Path Planning in Fuzzy Quadtree Framework
Applied Soft Computing
S. Ghosh, A. Halder and M. Sinha
3. Nonlinear Dynamics of Unicycles in Leader-Follower Formation
Communications in Nonlinear Science and Numerical Simulations
S. Zhao, A. Halder and T. Kalmar-Nagy
2. 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
1. 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
Conference
43. 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'
42. 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'
41. 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
40. 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'
39. Convex and Nonconvex Sublinear Regression with Application to Data-driven Learning of Reach Sets
ACC 2023
S. Haddad, and A. Halder
38. 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'
37. Schrödinger Meets Kuramoto via Feynman-Kac: Minimum Effort Distribution Steering for Noisy Nonuniform Kuramoto Oscillators
CDC 2022
I. Nodozi, and A. Halder
36. 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'
35. Boundary and Taxonomy of Integrator Reach Sets
ACC 2022
S. Haddad, and A. Halder
34. 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
33. 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
32. Reflected Schrödinger Bridge: Density Control with Path Constraints
ACC 2021
K.F. Caluya, and A. Halder
31. The Convex Geometry of Integrator Reach Sets
ACC 2020
Some calculation details
S. Haddad, and A. Halder
30. Finite Horizon Density Steering for Multi-input
State Feedback Linearizable Systems
ACC 2020
K.F. Caluya, and A. Halder
29. 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'
28. Proximal Recursion for Solving the Fokker-Planck Equation
ACC 2019
K.F. Caluya, and A. Halder
27. Stability Analysis of Opinion Dynamics over Influence Networks
ACC 2019
Z. Askarzadeh, R. Fu, A. Halder, Y. Chen, and T.T. Georgiou
26. On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids
CDC 2018
A. Halder
25. Gradient Flows in Filtering and Fisher-Rao Geometry
ACC 2018
A. Halder and T.T. Georgiou
Invited paper in Session 'Filtering'
24. Gradient Flows in Uncertainty Propagation and Filtering of Linear Gaussian Systems
CDC 2017
A. Halder and T.T. Georgiou
23. Finite Horizon Linear Quadratic Gaussian Density Regulator with Wasserstein Terminal Cost
ACC 2016
A. Halder and E.D.B. Wendel
22. 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
21. 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'
20. 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'
19. Probabilistic Robustness Analysis of Stochastic Jump Linear Systems
ACC 2014
K. Lee, A. Halder and R. Bhattacharya
18. Probabilistic Robustness Analysis of F-16 Controller Performance: An Optimal Transport Approach
ACC 2013
A. Halder, K. Lee and R. Bhattacharya
17. Nonlinear Filtering with Transfer Operator
ACC 2013
P. Dutta, A. Halder and R. Bhattacharya
Best presentation in Session 'Filtering' Award in 2013 ACC
16. Frequency Domain Model Validation in Wasserstein Metric
ACC 2013
A. Halder and R. Bhattacharya
15. Further Results on Probabilistic Model Validation in Wasserstein Metric
CDC 2012
A. Halder and R. Bhattacharya
14. Uncertainty Quantification for Stochastic Nonlinear Systems using Perron-Frobenius Operator and Karhunen-Loève Expansion
MSC 2012
P. Dutta, A. Halder and R. Bhattacharya
13. Model Validation: A Probabilistic Formulation
CDC 2011
A. Halder and R. Bhattacharya
12. Beyond Monte Carlo: A Computational Framework for Uncertainty Propagation in Planetary Entry, Descent and Landing
GNC 2010
A. Halder and R. Bhattacharya
11. Leader-Follower Dynamics for Unicycles
ACC 2009
S. Zhao, A. Halder and T. Kalmar-Nagy
10. Nonlinear Dynamics of Unicycles in Leader-Follower Formation
8th MSU-UAB Conference on Differential Equations and Computational Simulations 20096th International Conference on Mathematical Modeling
S. Zhao, A. Halder and T. Kalmar-Nagy
9. 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
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
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
Notes
2. Pontryagin's Method of Indirect Adjoints for Optimal Control with State Inequality Constraints
A. Halder, 2015
1. Performance Bounds for Dispersion Analysis: A Comparison Between Monte Carlo and Perron-Frobenius Operator Approach
A. Halder and R. Bhattacharya, 2011
