Vincent Guan

Department of Mathematics , University of British Columbia

I am a 3rd year applied math PhD student at the University of British Columbia (UBC), working under the supervision of Elina Robeva.

I am currently a visiting researcher at Mila (Sept - Dec 2025) with Kirill Neklyudov's research group.

Research

I like randomness, and as luck would have it, I research it for a living. I develop theory and methods for inferring stochastic processes in the physical sciences, including cell differentiation in developmental biology and contaminant flow in hydrology. My research explores three related objectives towards principled inference:

For example, in a recent paper, we proved that gradient-flow SDEs are identifiable from transient population dynamics, and we developed nn-APPEX, an iterative algorithm, which jointly estimates the SDE's drift and diffusivity from samples of its marginals.

nn-APPEX: Alternating Projection Parameter Estimation from X0

You can find my papers and their associated code repositories here. My papers are also on Google Scholar and my repositories are on GitHub.

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