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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
Resolution of the Borel-Kolmogorov Paradox via the Maximum Entropy Principle
Raphaël Trésor, Mykola Lukashchuk
This paper presents a rigorous resolution of the Borel-Kolmogorov paradox using the Maximum Entropy Principle. We construct a metric-based framework for Bayesian inference that uni…