Author

Yuga Iguchi

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Preprint Aug 2026

Diffusion Models for High-Dimensional Clustered Data: Intrinsic-Dimension Adaptivity via Bayesian Classification

This work interprets denoising as a dynamical Bayesian classifier, and proves that the KL error bound depends linearly on the maximum intrinsic dimension of a cluster, up to a logarithmic factor, even when $K$ grows polynomially with $D$.

Yuga Iguchi, P. Fearnhead · 0 citations