Program-Specific Postdoctoral Researcher
Center for Science Adventure and Collaborative Research Advancement (SACRA)
Graduate School of Science, Kyoto University
Research: data-driven stochastic dynamical systems, Koopman operator theory, and AI for scientific modeling.
Contact
Office: Maskawa Building for Education and Research, Room 4-405
Email: xu.yuanchao.3a "at" kyoto-u.ac "dot" jp
CV · Google Scholar
Updated: May 2026
I am a Program-Specific Postdoctoral Researcher at Kyoto University, working at the intersection of data-driven stochastic dynamical systems, Koopman operator theory, and AI for scientific modeling.
My research develops operator-theoretic and machine-learning methods for understanding complex nonlinear dynamics. I am particularly interested in generative modeling, spectral analysis of Koopman semigroups, computational neuroscience, and scientific machine learning for stochastic systems.
2025: Joined Kyoto University as a Program-Specific Postdoctoral Researcher.
2025: Ph.D. in Applied Mathematics, University of Alberta.
2025: Faculty of Science Doctoral Dissertation Award.
2025: ResKoopNet accepted to ICML 2025.
Ph.D. in Applied Mathematics, University of Alberta, 2021-2025
M.S. in Mathematics, University of Manitoba, 2018-2020
B.S. in Mathematics, University of Oregon, 2015-2017
University of Alberta
Winter 2025: MATH 102 Lab, Applied Linear Algebra
Fall 2024 and Spring 2024: MATH 209 Lab, Calculus for Engineering III
Winter 2024: MATH 102 Lab, Applied Linear Algebra
Fall 2023 and Winter 2023: MATH 201 Lab, Differential Equations
Spring 2024: MATH 101 Lab, Calculus for Engineering II
Faculty of Science Doctoral Dissertation Award, 2025
Mary Louise Imrie Graduate Student Award, 2025
Dr. Josephine M. Mitchell Recruitment Scholarship, 2021
International Graduate Student Entrance Scholarship, 2020 and 2018
Clarence and Lucille Dunbar Scholarship, 2017
ResKoopNet: Learning Koopman Representations for Complex Dynamics with Spectral Residuals
ICML 2025.
A Data-Driven Framework for Koopman Semigroup Estimation in Stochastic Dynamical Systems
Chaos, 2025.
Generative Modeling through Koopman Spectral Analysis: An Operator-Theoretic Perspective
arXiv preprint.
Reinforced Data-Driven Estimation for Spectral Properties of Koopman Semigroup in Stochastic Dynamical Systems
arXiv preprint.
Spectral analysis of Koopman operator through pseudo-resolvent
arXiv preprint.
Koopman Spectral Analysis Uncovers the Temporal Structure of Spontaneous Neural Event
COSYNE 2024.
Data-Driven Approaches for Analyzing Complex Dynamical Systems through Koopman Framework
Ph.D. thesis, 2025.
Decentralized Multi-Agent Reinforcement Learning for Task Offloading Under Uncertainty
arXiv preprint.
Machine Learning With Echo State Networks
M.S. thesis, 2020.