Publications in the area of dynamics, learning and control of quantum systems:

• H. Bassi, Y. Shen, H. S. Bhat, R. Van Beeumen (2025)
  From noisy observables to accurate ground state energies: a quantum classical signal subspace approach with denoising.
  APL Quantum 2 (4), 046103.
  [journal] [arXiv]
• H. S. Bhat (2025)
  Second-order adjoint method for quantum optimal control.
  Proc. 2025 IEEE International Conference on Quantum Control, Computing and Learning, pp. 149-154.
  [proceedings] [final submission] [arXiv]
• H. S. Bhat, H. Bassi, K. Ranka, and C. M. Isborn (2025)
  Incorporating memory into propagation of 1-electron reduced density matrices.
  Journal of Mathematical Physics 66 (2), 023503.
  [journal] [arXiv]
• H. S. Bhat, H. Bassi, and C. M. Isborn (2024)
  Nonlinear Optimal Control of Electron Dynamics within Hartree-Fock Theory.
  Proc. 2025 SICE International Symposium on Control Systems, pp. 51-58.
  [proceedings] [arXiv]
• H. S. Bhat, P. Gupta, and C. M. Isborn (2024)
  Scalable learning of potentials to predict time-dependent Hartree-Fock dynamics.
  APL Machine Learning 2 (4), 046112.
  [journal] [arXiv]
• H. S. Bhat, K. Collins, P. Gupta, and C. M. Isborn (2022)
  Dynamic learning of correlation potentials for a time-dependent Kohn-Sham system.
  Proc. 4th Annual Learning for Dynamics and Control Conference, PMLR 168, pp. 546-558.
  [arXiv] [proceedings]
• P. Gupta, H. S. Bhat, K. Ranka, and C. M. Isborn (2021)
  Statistical learning for predicting density-matrix based electron dynamics.
  Stat 11 (1): e439.
  [journal] [arXiv]
• H. S. Bhat, K. Ranka, and C. M. Isborn (2020)
  Machine learning a molecular Hamiltonian for predicting electron dynamics.
  International Journal of Dynamics and Control 8 (4): 1089-1101.
  [journal] [arXiv]
  

Scientific Machine Learning:

• H. Bassi, Y. Zhu, E. Ye, P. Ren, A. Dektor, M. W. Mahoney, H. S. Bhat, and C. Yang (2026)
  RELift: Learned Coarse-to-Fine Propagators for Time-Dependent PDEs with Applications to Plasma Dynamics.
  APL Computational Physics 2 (2), 026107.
  [journal] [arXiv]
• R. Raziperchikolaei and H. S. Bhat (2019)
  A Block Coordinate Descent Proximal Method for Simultaneous Filtering and Parameter Estimation.
  Proceedings of the 36th International Conference on Machine Learning, PMLR 97, pp. 5380-5388.
  [abs] [pdf] [supplementary material] [code]

Areas of Ongoing Interest:

• [Public Health]
• [Stochastic/Noisy Systems including parameter estimation and system identification]

Areas of Past Interest:

• [Misc Data Science Topics]
• [Finance]
• [Circuits, Electromagnetics, and Power Grids]
• [Compressible Fluids]
• [Theses]