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研究领域

Quantum Systems, Quantum Information, Numerical Analysis, Deep Learning

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1.Y. Cao and E.Vanden-Eijnden. Learning optimal flows for non-equilibrium importance sampling, 2022. Accepted by NeurIPS 2022. 2.Y. Cao, J. Lu, and L.Wang. Complexity of randomized algorithms for underdamped Langevin dynamics. Commun. Math. Sci., 19(7):1827–1853, 2021 3.Y. Cao and J. Lu. Tensorization of the strong data processing inequality for quantum chi-square divergences. Quantum, 3:199, 2019 4.Y. Cao, J. Lu, and Y. Lu. Exponential decay of Rényi divergence under Fokker-Planck equations. J. Stat. Phys., 176(5):1172–1184, 2019 5.Y. Cao, J. Lu, and Y. Lu. Gradient flow structure and exponential decay of the sandwiched Rényi divergence for primitive Lindblad equations with GNS-detailed balance. J. Math. Phys., 60(5):052202, 2019 6.Y. Cao and J. Lu. Stochastic dynamical low-rank approximation method. J. Comput. Phys., 372:564–586, 2018 7.Y. Cao and J. Lu. Lindblad equation and its semiclassical limit of the Anderson-Holstein model. J. Math. Phys., 58(12):122105, 2017 8.Y. Cao, L. Lin, and X. Zhou. Explore stochastic instabilities of periodic points by transition path theory. J. Nonlinear Sci., 26(3):755–786, 2016

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