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math.ST2026
Reformulation Invariance and the Axiomatic Foundations of Inference
Raphaël Trésor, Thijs van de Laar, Bert de Vries
Maximum entropy, Bayesian updating, and exponential-family estimation are all instances of a common inference principle: selecting the measure or distribution that minimizes a dive…
math.ST2025
A resolution of the Borel-Kolmogorov Paradox via the Maximum Entropy Principle
Raphaël Trésor, Mykola Lukashchuk
Bayesian updating routinely conditions on events of prior probability zero, such as an exact observation of a continuous parameter or a parameter confined to a submanifold. Two equ…