On principles of inductive inference
Ryszard Pawe{\l} Kostecki
TL;DR
This paper introduces an intersubjective epistemic framework for probability and statistical inference using relative entropy and category theory to address foundational issues.
Contribution
It presents a novel approach combining relative entropy and category theory to reformulate the foundations of probability and inference.
Findings
Provides a new epistemic perspective on probability
Addresses conceptual problems in existing foundations
Proposes a category-theoretic framework for inference
Abstract
We propose an intersubjective epistemic approach to foundations of probability theory and statistical inference, based on relative entropy and category theory, and aimed to bypass the mathematical and conceptual problems of existing foundational approaches.
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Taxonomy
TopicsStatistical Mechanics and Entropy · Philosophy and History of Science · Probability and Statistical Research