Explicit finite-N lower bounds for union probabilities under phi- or alpha-mixing are proved via residue-class blocking with spacing coefficient 1/(L+1) and mixing residuals.
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A critical review of AI surrogate models for multiscale combustion that compares supervised, unsupervised, and physics-guided methods, identifies transferability and consistency challenges, and outlines future opportunities.
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Finite-sample Borel--Cantelli inequalities under mixing conditions
Explicit finite-N lower bounds for union probabilities under phi- or alpha-mixing are proved via residue-class blocking with spacing coefficient 1/(L+1) and mixing residuals.
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AI-Powered Surrogate Modelling for Multiscale Combustion: A Critical Review and Opportunities
A critical review of AI surrogate models for multiscale combustion that compares supervised, unsupervised, and physics-guided methods, identifies transferability and consistency challenges, and outlines future opportunities.