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math.ST2024
Statistical guarantees for denoising reflected diffusion models
Asbjørn Holk, Claudia Strauch, Lukas Trottner
In recent years, denoising diffusion models have become a crucial area of research due to their abundance in the rapidly expanding field of generative AI. While recent statistical…
math.ST2024★ 1 cited
Nonparametric velocity estimation in stochastic convection-diffusion equations from multiple local measurements
Claudia Strauch, Anton Tiepner
We investigate pointwise estimation of the function-valued velocity field of a second-order linear SPDE. Based on multiple spatially localised measurements, we construct a weighted…