Statistical Methods in Generative AI

Published: 06 Sept 2025, Last Modified: 06 Sept 2025This is a draft of an invited review article for Annual Review of Statistics and Its Application. Feedback is welcome.EveryoneCC BY 4.0
Abstract: Generative Artificial Intelligence is emerging as an important technology, promising to be transformative in many areas. At the same time, generative AI techniques are based on sampling from probabilistic models, and by default, they come with no guarantees about correctness, safety, fairness, or other properties. Statistical methods offer a promising potential approach to improve the reliability of generative AI techniques. In addition, statistical methods are also promising for improving the quality and efficiency of AI evaluation, as well as for designing interventions and experiments in AI. In this paper, we review some of the existing work on these topics, explaining both the general statistical techniques used, as well as their applications to generative AI. We also discuss limitations and potential future directions.
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