Hossein Matin

Partial Differential Equations · Control · Learning

Hossein Matin

Assistant Professor · École Polytechnique

I work on the analysis, computation, and control of dynamical systems governed by partial and ordinary differential equations, with particular interests in hyperbolic conservation laws, numerical schemes, stochastic dynamics, optimal control, and learning-based methods.

Explore my research Selected publications
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About

Analysis, computation, and control of nonlinear dynamical systems.

My research lies at the intersection of partial differential equations, dynamical systems, stochastic analysis, optimal control, and scientific machine learning. I am particularly interested in mathematically principled methods for nonlinear and nonsmooth dynamics, including conservation laws and coupled PDE–ODE systems.

Application areas include intelligent transportation systems, traffic-flow dynamics, crowd dynamics, and fluid dynamics. Before joining École Polytechnique in 2025, I was a Senior Researcher at the University of California, Berkeley.

Research

Core research directions

My work combines mathematical analysis with numerical and learning-based methods for complex dynamical systems.

01

Differential Equations

Analysis of nonlinear PDEs and ODEs, their coupling, well-posedness, stability, singular behavior, and conservation laws.

PDEsODEsConservation laws
02

Numerical & Learning-Based Solvers

Finite-volume and finite-element methods together with neural architectures designed to retain the structure of nonlinear PDEs.

Finite volumeNeural operatorsScientific ML
03

Optimal & Learning Control

Control and reinforcement-learning methods for dynamical systems, with emphasis on traffic-flow regulation and mixed-autonomy systems.

Optimal controlRLTraffic systems

Publications

Selected publications

Complete list on Google Scholar →

Talks & Service

Presentations and scientific organization

Selected presentations

  • IEEE Conference on Decision and Control (CDC), Milan, 2024
  • Oden Institute for Computational Engineering and Sciences, UT Austin, 2024
  • AIMS–UMI, invited session on Hyperbolic PDEs, Palermo, 2024
  • KTH Royal Institute of Technology, 2024
  • UC Berkeley Department of Mathematics, 2024
  • IEEE CDC, Singapore, 2023
  • SIAM Conference on Control and Its Applications, 2023
  • Université Gustave Eiffel, invited speaker, 2023
  • Traffic and Autonomy Conference, invited speaker, Maiori, 2023
  • AIMS Conference, invited speaker, 2023

Scientific meeting organization

  • Large-Scale Traffic Network Control — ITSC 2024, Canada
  • Microscopic Traffic Modeling and Control — CDC 2024, Italy
  • Macroscopic Traffic Modeling and Control — CDC 2024, Italy
  • Network Traffic Modeling and Control — CDC 2024, Italy
  • Four invited-session proposals on emerging mobility systems — CDC 2025, Brazil

Contact

Research, seminars, and collaboration

École Polytechnique
Laboratoire d'Informatique de l'École Polytechnique (LIX)
Palaiseau, France

hossein.matin@polytechnique.edu