8 papers
Finite-Sample Metric Non-Collapse for Geometrically Supervised Latent World Models in Control
Alain Bensoussan, Minh-Nhat Phung, Minh-Binh Tran
We establish a finite-sample learning-to-control theory for geometrically supervised latent models of nonlinear deterministic systems. Geometric supervision is used only during tra…
Neural-Spectral and Newton-HUM Methods for Reconstructing Controls of Wave Equations
Tan-Phuc Nguyen, Minh-Binh Tran, Son Tu
We develop a framework for constructing and rigorously validating controls for semilinear wave equations with localized interior control. We analyze the continuous energy-space pro…
Computational Control of Nonlinear Partial Differential Equations Using Machine Learning
Maximilian Kurbanov, Minh-Nhat Phung, Minh-Binh Tran
The numerical reconstruction of controls for nonlinear partial differential equations (PDEs) remains a challenging and relatively underdeveloped problem, despite the extensive lite…
Operator Splitting, Policy Iteration, and Machine Learning for Stochastic Optimal Control
Alain Bensoussan, Thien P. B. Nguyen, Minh-Binh Tran +1
We propose a splitting approach to solve the second-order Hamilton--Jacobi equation, reducing it to a heat step and a purely first-order step. The latter is implemented using a gra…
A Relative Ignorability Framework for Decision-Relevant Observability in Control Theory and Reinforcement Learning
MaryLena Bleile, Minh-Nhat Phung, Minh-Binh Tran
Sequential decision-making systems routinely operate with missing or incomplete data. Classical reinforcement learning theory, which is commonly used to solve sequential decision p…
Regularized Unbalanced Optimal Transport with Pearson Marginal Penalties
Minh-Nhat Phung, Minh-Binh Tran
We study quadratically regularized unbalanced optimal transport with Pearson marginal penalties and a lower bound on the plan, including the sparse case . We organize…
Internal Control of The Transition Kernel for Stochastic Lattice Dynamics
Amirali Hannani, Minh-Nhat Phung, Minh-Binh Tran +1
In [5], we have designed impulsive and feedback controls for harmonic chains with a point thermostat. In this work, we study the internal control for stochastic lattice dynamics, w…
Controlling the Rates of a Chain of Harmonic Oscillators with a Point Langevin Thermostat
Amirali Hannani, Minh-Binh Tran, Minh Nhat Phung +1
We consider the control problem of controlling the rates of an infinite chain of coupled harmonic oscillators with a Langevin thermostat at the origin. We study the effect of two t…