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New research explores diffusion score estimation with shallow neural networks

Researchers have developed a method for estimating diffusion scores using shallow neural networks, specifically focusing on shallow ReLU networks. The study provides theoretical bounds on the sample complexity and approximation error for this estimation process. These findings have implications for reverse-process sampling, offering explicit control over approximation errors and a sufficient path-norm budget for improved sampling accuracy. AI

IMPACT This research provides theoretical underpinnings for score estimation in diffusion models, potentially improving sampling techniques.

RANK_REASON The cluster contains a single academic paper detailing theoretical advancements in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

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New research explores diffusion score estimation with shallow neural networks

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The cluster contains a single academic paper detailing theoretical advancements in machine learning. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.LG TIER_1 English(EN) · Fan Liu, Yahong Yang, Wei Zhu ·

    Diffusion Score Estimation with Shallow Neural Networks: Regularity, Approximation, and Finite-Sample Rates

    arXiv:2610.27206v1 Announce Type: cross Abstract: We study the sample complexity of estimating Ornstein--Uhlenbeck diffusion scores in $\mathbb R^d$ using denoising score matching (DSM) with finite-width shallow ReLU networks, and its implications for reverse-process sampling. Un…