De Finetti
De Finetti's theorem, focusing on exchangeable data (data whose probability distribution is invariant under permutations), provides a framework for understanding Bayesian inference without explicitly specifying prior distributions. Current research explores applications of this framework in diverse areas, including improving image registration through efficient feature-based initialization, optimizing path planning for infrastructure inspection using algorithms like GATSBI, and recovering topic distributions from large language models by leveraging the exchangeability of topic structure. This work has significant implications for advancing uncertainty quantification in machine learning, improving the efficiency of complex algorithms, and enhancing the interpretability of large-scale models.