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publications
Reconstructing a state-independent cost function in a mean-field game model
Kui Ren, Nathan Soedjak, Kewei Wang, and Hongyu Zhai
Inverse Problems, 2024
Recommended citation: Kui Ren, Nathan Soedjak, Kewei Wang, and Hongyu Zhai. "Reconstructing a state-independent cost function in a mean-field game model." Inverse Problems 40, no. 10 (2024): 105010. https://doi.org/10.1088/1361-6420/ad7497
Unique determination of cost functions in a multipopulation mean field game model
Kui Ren, Nathan Soedjak, and Kewei Wang
Journal of Differential Equations, 2025
This paper studies an inverse problem for a multipopulation mean field game (MFG) system where the objective is to reconstruct the running and terminal cost functions of the system that couples the dynamics of different populations. We derive uniqueness results for the inverse problem with different types of available data. In particular, we show that it is possible to uniquely reconstruct some simplified forms of the cost functions from data measured only on a single population component under mild additional assumptions on the coupling mechanism. The proofs are based on the standard multilinearization technique that allows us to reduce the inverse problems into simplified forms.
Recommended citation: Kui Ren, Nathan Soedjak, and Kewei Wang. "Unique determination of cost functions in a multipopulation mean field game model." Journal of Differential Equations 427 (2025): 843–867. https://doi.org/10.1016/j.jde.2025.02.037
Infinite-dimensional spherical-radial decomposition for probabilistic functions, with application to constrained optimal control and Gaussian process regression
Kewei Wang and Georg Stadler
arXiv, 2026
Recommended citation: Kewei Wang and Georg Stadler. "Infinite-dimensional spherical-radial decomposition for probabilistic functions, with application to constrained optimal control and Gaussian process regression." arXiv:2603.19907 (2026). https://arxiv.org/pdf/2603.19907
talks
Talk 1 on Relevant Topic in Your Field
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Conference Proceeding talk 3 on Relevant Topic in Your Field
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teaching
Teaching experience 1
Undergraduate course, University 1, Department, 2014
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Teaching experience 2
Workshop, University 1, Department, 2015
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