Research Themes

My current research interests lie at the intersection of control theory, machine learning, and optimization. I am often motivated by real problems, but rather than specializing in one application, I aim to develop mathematical theories of control in an abstract framework and do cross-disciplinary research that leads to various applications.
Research topics are as follows:
  • Optimal control, regularization, and probabilistic inference (maximum entropy control/RL, control as inference)
  • Adaptive control integrating online optimization and optimal control (online control, regret analysis for control)
  • Optimal control of probability distributions (dynamical optimal transport, Schrödinger bridge, ensemble control)
  • Control of large-scale systems
  • Stochastic control theory under heavy-tailed noise
  • Privacy protection for control systems