Hugging Face Trending Papers

Proportional Analogies on Probability Distributions via Bayesian Updating

Analogies are quaternary relations of the form "A is to B as C is to D". Among the various formalizations of analogical reasoning, proportional analogies provide an important axiomatic framework by characterizing valid analogies through a set of postulates.

Hugging Face Trending Papers
Jun 22

From numerical proportions to analogical proportions between probabilities

Analogical proportions link four items a, b, c, d by a relation stating that ``a is to b as c is to d", a, b, c, d being the formal representation of real world entities, ranging from simple numerical values to more complex structures such as profiles. Accordingly, $a, b, c, d$ could be atomic values like Boolean, nominal or numerical values, more generally vectors of such values, or even families of items represented by logical formulas.

arXiv AI
Jul 1

Belief Contraction in Dynamic Epistemic Logic

arXiv:2606. 31861v1 Announce Type: cross Abstract: Dynamic epistemic logic represents belief change via model transformations induced by epistemic events.

By Gaia Belardinelli (Stanford University), Snow Zhang (University of Berkeley, California)
arXiv AI
Jul 21

A Causal Markov Condition for Value

arXiv:2607. 16717v1 Announce Type: cross Abstract: This paper proposes a causal independence principle for value -- the value Causal Markov Condition (v-CMC) -- and develops the conceptual and mathematical foundations of a "causal value theory" linking causality and utility.

By Olav Benjamin Vassend
arXiv Machine Learning
Jun 30

A Transport-Based Geometry of Belief-Cost

arXiv:2606. 21585v4 Announce Type: replace Abstract: A finite agent, a machine's digital twin or any bounded reasoner, infers a fixed and noisy world through finite sensors, so its coherent output is a belief: a probability density over states (the Bayes posterior).

By Laurent Caraffa