Xingzi Xu

2 accepted papers

2024

Base Models for Parabolic Partial Differential Equations

Xingzi Xu, Ali Hasan, Jie Ding, Vahid Tarokh

UAI 2024poster

Parabolic partial differential equations (PDEs) appear in many disciplines to model the evolution of various mathematical objects, such as probability flows, value functions in control theory, and derivative prices in finance. It is often necessary to compute the solutions or a function of the solu…

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2023

Characteristic Neural Ordinary Differential Equation

Xingzi Xu, Ali Hasan, Khalil Elkhalil, Jie Ding, Vahid Tarokh

ICLR 2023poster

We propose Characteristic-Neural Ordinary Differential Equations (C-NODEs), a framework for extending Neural Ordinary Differential Equations (NODEs) beyond ODEs. While NODE models the evolution of latent variables as the solution to an ODE, C-NODE models the evolution of the latent variables as the…

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