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We study the asymptotic error of score-based diffusion model sampling in large-sample scenarios from a non-parametric statistics perspective.
An inequality for hermite polynomials
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Rényi, A · 1961
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Optimal rates of convergence for nonparametric estimators
Stone, C. J · 1980
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Optimal global rates of convergence for nonparametric regression
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Logarithmic Sobolev inequalities and stochastic Ising models
Holley, R. and Stroock, D · 1987
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Zhang, C.-H · 1997
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Higher-order derivatives and taylor’s formula in several variables
Folland, G. B · 2005
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Estimation of non-normalized statistical models by score matching
Hyvärinen, A. and Dayan, P · 2005
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Introduction to Nonparametric Estimation
Tsybakov, A. B · 2009
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A connection between score matching and denoising autoencoders
Vincent, P · 2011
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Conditional Rényi entropy
Berens, S · 2013
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Analysis and geometry of Markov diffusion operators , volume 103
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High-dimensional probability: An introduction with applications in data science , volume 47
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Score-based generative models detect manifolds
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Hierarchical text-conditional image generation with clip latents
Ramesh, A., Dhariwal, P., Nichol, A., Chu, C., and Chen, M · 2022
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Jeong, M., Kim, H., Cheon, S. J., Choi, B. J., and Kim, N. S · 2021
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Optimal score estimation via empirical bayes smoothing
Wibisono, A., Wu, Y., and Yang, K. Y · 2024
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