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math.NA2026
Improving Learning of Green's Functions Through Kernel Decomposition
Beiji Chen, Qiang Du, Kui Ren +1
This work analyzes a framework for learning the solution operator, or equivalently, the Green's function, of a general self-adjoint second-order elliptic operator $\cL$. Subtractin…
math.NA2026
Sampling Using Hybrid Stochastic Dynamics
Björn Engquist, Kui Ren, Yunan Yang
This work proposes a framework for sampling from the Gibbs distribution of a given potential using hybrid stochastic dynamics. In this framework, two distinct sampling dynamics are…
math.AP2026
Recovering the initial condition and physical coefficients in a nonlinear PDE model of cell invasion
Beiji Chen, Kui Ren
This paper investigates an inverse problem for the simultaneous reconstruction of two spatially varying reaction coefficients, the local proliferation rate and the competition (sat…