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A continuous time framework for discrete denoising models

Abstract:
We provide the first complete continuous time framework for denoising diffusion models of discrete data. This is achieved by formulating the forward noising process and corresponding reverse time generative process as Continuous Time Markov Chains (CTMCs). The model can be efficiently trained using a continuous time version of the ELBO. We simulate the high dimensional CTMC using techniques developed in chemical physics and exploit our continuous time framework to derive high performance samplers that we show can outperform discrete time methods for discrete data. The continuous time treatment also enables us to derive a novel theoretical result bounding the error between the generated sample distribution and the true data distribution.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher:
Curran Associates
Host title:
Advances in Neural Information Processing Systems 35 (NeurIPS 2022)
Volume:
37
Pages:
28266-28279
Publication date:
2023-04-01
Acceptance date:
2022-09-14
Event title:
36th Conference on Neural Information Processing Systems (NeurIPS 2022)
Event location:
New Orleans, USA
Event website:
https://nips.cc/Conferences/2022
Event start date:
2022-11-28
Event end date:
2022-12-09
ISSN:
1049-5258
EISBN:
9781713873129
ISBN:
9781713871088


Language:
English
Keywords:
Pubs id:
1312346
Local pid:
pubs:1312346
Deposit date:
2022-12-08

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