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Paper · arXiv

Statistical Inference via Generative Models: Flow Matching and Causal Inference

Generative AI has achieved remarkable empirical success, but from the perspective of statistics it often remains opaque: its predictions may be accurate, yet the underlying mechanism is difficult to interpret, analyze, and trust. This book reinterprets generative AI in the language of statistics, using flow matching as a central example. The key idea is that generative models should be understood not merely as devices for producing plausible data, but as methods for the nonparametric learning of high-dimensional probability distributions. From this viewpoint, missing-data imputation becomes principled sampling from learned conditional distributions, counterfactual analysis becomes the est...

AuthorsShinto Eguchi
Primary categorystat.ML
Published9 March 2026
Last updated at source9 March 2026
stat.MLcs.LG
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