data assimilation 2stochastic differential equations 2dynamical low-rank approximation 1ensemble methods 1kalman filter 1kalman filtering 1low-rank approximation 1particle filters 1reduced-order modeling 1smoothing 1
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stat.ML2025
Infinite-Dimensional Diffusion Models
Jakiw Pidstrigach, Youssef Marzouk, Sebastian Reich +1
Diffusion models have had a profound impact on many application areas, including those where data are intrinsically infinite-dimensional, such as images or time series. The standar…
stat.ML2024
Diffusion map particle systems for generative modeling
Fengyi Li, Youssef Marzouk
We propose a novel diffusion map particle system (DMPS) for generative modeling, based on diffusion maps and Laplacian-adjusted Wasserstein gradient descent (LAWGD). Diffusion maps…