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math.PR2025
Generative diffusion models from a PDE perspective
Fei Cao, Kimball Johnston, Thomas Laurent +2
Diffusion models have become the de facto framework for generating new datasets. The core of these models lies in the ability to reverse a diffusion process in time. The goal of th…
math.PR2024★ 1 cited
Sticky dispersion on the complete graph: a kinetic approach
Fei Cao, Sebastien Motsch
We study a variant of the dispersion process on the complete graph introduced in the recent work [17] under the mean-field framework. We adopt a kinetic perspective (as opposed to…
math.PR2022
Uncovering a two-phase dynamics from a dollar exchange model with bank and debt
Fei Cao, Sébastien Motsch
We investigate the unbiased model for money exchanges with collective debt limit: agents give at random time a dollar to one another as long as they have at least one dollar or the…