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Skipping the Zeros in Diffusion Models for Sparse Data Ge...
[Submitted on 3 May 2026 (v1), last revised 26 May 2026 (this ve · 2026-05-05 · via cs.LG updates on arXiv.org

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Abstract:Diffusion models (DMs) excel on dense continuous data, but are not designed for sparse continuous data. They do not model exact zeros that represent the deliberate absence of a signal. As a result, they erase sparsity patterns and perform unnecessary computation on mostly zero entries. With Sparsity-Exploiting Diffusion (SED), we model only non-zero values, preserving sparsity. SED delivers computational savings while maintaining or improving generation quality by skipping zeros during training and inference. Across physics and biology benchmarks, SED matches or surpasses conventional DMs and domain-specific baselines, while vision experiments provide intuitive insights into the limitations of dense DMs and the benefits of SED.

Submission history

From: Phil Sidney Ostheimer [view email]
[v1] Sun, 3 May 2026 10:51:25 UTC (1,054 KB)
[v2] Tue, 26 May 2026 11:59:37 UTC (1,055 KB)