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20242026
most citedAnalysis of Diffusion Models for Manifold Data

2 citations · 2 across the 7 of their papers we have counts for

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cs.LG2026

Denoising Score Matching in Diffusion Models: The Effect of Rank Constraints on Generalization

Anand Jerry George, Nicolas Macris

Architectural biases restrict the class of functions that a diffusion score network can represent, but their effect on generalization remains poorly understood. We study denoising…

quant-ph2026

Separable decompositions of 2xn states with operator Schmidt rank three

Perrine Vantalon, Nicolas Macris

We prove that every bipartite state of a qubit coupled to an -level system whose operator Schmidt rank equals three can be written as a mixture of pure prod…

cs.LG2026

Asymptotic Learning Curves for Diffusion Models with Random Features Score and Manifold Data

Anand Jerry George, Nicolas Macris

We study the theoretical behavior of denoising score matching--the learning task associated to diffusion models--when the data distribution is supported on a low-dimensional manifo…