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stat.ML2024
An efficient Wasserstein-distance approach for reconstructing jump-diffusion processes using parameterized neural networks
Mingtao Xia, Xiangting Li, Qijing Shen +1
We analyze the Wasserstein distance (-distance) between two probability distributions associated with two multidimensional jump-diffusion processes. Specifically, we analyze a t…
q-bio.PE2024★ 3 cited
Kinetic theories of state- and generation-dependent cell populations
Mingtao Xia, Tom Chou
We formulate a general, high-dimensional kinetic theory describing the internal state (such as gene expression or protein levels) of cells in a stochastically evolving population.…
math.PR2024
Squared Wasserstein-2 Distance for Efficient Reconstruction of Stochastic Differential Equations
Mingtao Xia, Xiangting Li, Qijing Shen +1
We provide an analysis of the squared Wasserstein-2 () distance between two probability distributions associated with two stochastic differential equations (SDEs). Based on th…