Mr. Jakiw Pidstrigach | Infinite-Dimensional Diffusion Models
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- Опубликовано: 11 сен 2024
- Speaker: Mr Jakiw Pidstrigach (University of Oxford)
Date: 16th Jul 2024 - 13:30 to 14:30
Venue: External
Title: Infinite-Dimensional Diffusion Models
Event: (DMLW01) International workshop on diffusions in machine learning: foundations, generative models, and optimisation
Abstract: 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 standard approach is first to discretize and then to apply diffusion models to the discretized data. We instead directly formulate diffusion-based generative models in infinite dimensions and apply them to the generative modelling of functions. We prove that our formulations are well posed in the infinite-dimensional setting and provide dimension-independent distance bounds from the sample to the target measure. Using our theory, we also develop guidelines for the design of infinite-dimensional diffusion models. For image distributions, these guidelines are in line with current canonical choices.
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