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Conditional Variational Diffusion Models

della Maggiora, G; Croquevielle, LA; Deshpande, N; Horsley, H; Heinis, T; Yakimovich, A; (2024) Conditional Variational Diffusion Models. In: 12th International Conference on Learning Representations, ICLR 2024. International Conference on Learning Representations (ICLR) Green open access

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Abstract

Inverse problems aim to determine parameters from observations, a crucial task in engineering and science. Lately, generative models, especially diffusion models, have gained popularity in this area for their ability to produce realistic solutions and their good mathematical properties. Despite their success, an important drawback of diffusion models is their sensitivity to the choice of variance schedule, which controls the dynamics of the diffusion process. Fine-tuning this schedule for specific applications is crucial but time-consuming and does not guarantee an optimal result. We propose a novel approach for learning the schedule as part of the training process. Our method supports probabilistic conditioning on data, provides high-quality solutions, and is flexible, proving able to adapt to different applications with minimum overhead. This approach is tested in two unrelated inverse problems: super-resolution microscopy and quantitative phase imaging, yielding comparable or superior results to previous methods and fine-tuned diffusion models. We conclude that fine-tuning the schedule by experimentation should be avoided because it can be learned during training in a stable way that yields better results.

Type: Proceedings paper
Title: Conditional Variational Diffusion Models
Event: 12th International Conference on Learning Representations, ICLR 2024
Open access status: An open access version is available from UCL Discovery
Publisher version: https://openreview.net/forum?id=YOKnEkIuoi
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Denoising Diffusion Probabilistic Models, Inverse Problems, Generative Models, Super Resolution, Phase Quantification, Variational Methods
UCL classification: UCL
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Div of Medicine
UCL > Provost and Vice Provost Offices > School of Life and Medical Sciences > Faculty of Medical Sciences > Div of Medicine > Renal Medicine
URI: https://discovery.ucl.ac.uk/id/eprint/10198875
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