Memory in Plain Sight: Surveying the Uncanny Resemblances of Associative Memories and Diffusion Models

• URL: http://arxiv.org/abs/2309.16750v2
• Date: Tue, 28 May 2024 11:46:33 GMT
• Title: Memory in Plain Sight: Surveying the Uncanny Resemblances of Associative Memories and Diffusion Models
• Authors: Benjamin Hoover, Hendrik Strobelt, Dmitry Krotov, Judy Hoffman, Zsolt Kira, Duen Horng Chau,
• Abstract summary: generative process of Diffusion Models (DMs) has recently set state-of-the-art on many AI generation benchmarks. We introduce a novel perspective to describe DMs using the mathematical language of memory retrieval from the field of energy-based Associative Memories (AMs) We present a growing body of evidence that records DMs exhibiting empirical behavior we would expect from AMs, and conclude by discussing research opportunities that are revealed by understanding DMs as a form of energy-based memory.
• Score: 65.08133391009838
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The generative process of Diffusion Models (DMs) has recently set state-of-the-art on many AI generation benchmarks. Though the generative process is traditionally understood as an "iterative denoiser", there is no universally accepted language to describe it. We introduce a novel perspective to describe DMs using the mathematical language of memory retrieval from the field of energy-based Associative Memories (AMs), making efforts to keep our presentation approachable to newcomers to both of these fields. Unifying these two fields provides insight that DMs can be seen as a particular kind of AM where Lyapunov stability guarantees are bypassed by intelligently engineering the dynamics (i.e., the noise and step size schedules) of the denoising process. Finally, we present a growing body of evidence that records DMs exhibiting empirical behavior we would expect from AMs, and conclude by discussing research opportunities that are revealed by understanding DMs as a form of energy-based memory.

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