WNAR 2025 Research Impact Award Lecture

With the advent of big data and large-scale computational
technologies, increasing focus has been paid to the development of methodology
in statistics, machine learning and data science. In particular, the talk these days focuses on models such as deep learning and generative AI. I will discuss two very basic concepts in statistics, distance and sufficiency, and describe our past work in this area as well as use them as guiding principles for how to study and think critically about current AI tools.