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The primary theme of this investigation is a decision theoretic account of conditional ought statements (e.g., "You ought to do A, if C") that rectifies glaring deficiencies in classical deontic logic. The resulting account forms a sound…

Artificial Intelligence · Computer Science 2013-03-08 Judea Pearl

Order effects occur when judgments about a hypothesis's probability given a sequence of information do not equal the probability of the same hypothesis when the information is reversed. Different experiments have been performed in the…

Artificial Intelligence · Computer Science 2021-09-24 Catarina Moreira , Jose Acacio de Barros

The earth system is exceedingly complex and often chaotic in nature, making prediction incredibly challenging: we cannot expect to make perfect predictions all of the time. Instead, we look for specific states of the system that lead to…

Atmospheric and Oceanic Physics · Physics 2022-01-05 Elizabeth A. Barnes , Randal J. Barnes

Conformal predictors provide set or functional predictions that are valid under the assumption of randomness, i.e., under the assumption of independent and identically distributed data. The question asked in this paper is whether there are…

Machine Learning · Computer Science 2025-06-10 Vladimir Vovk

Separable Bayesian Networks, or the Influence Model, are dynamic Bayesian Networks in which the conditional probability distribution can be separated into a function of only the marginal distribution of a node's neighbors, instead of the…

Artificial Intelligence · Computer Science 2012-07-02 Chalee Asavathiratham

Machine Learning explainability techniques have been proposed as a means of `explaining' or interrogating a model in order to understand why a particular decision or prediction has been made. Such an ability is especially important at a…

Machine Learning · Statistics 2022-02-28 Matthew J. Vowels

We uncover a strong correspondence between Bayesian Networks and (Multiplicative) Linear Logic Proof-Nets, relating the two as a representation of a joint probability distribution and at the level of computation, so yielding a…

Logic in Computer Science · Computer Science 2024-12-31 Thomas Ehrhard , Claudia Faggian , Michele Pagani

We present a new method to propagate lower bounds on conditional probability distributions in conventional Bayesian networks. Our method guarantees to provide outer approximations of the exact lower bounds. A key advantage is that we can…

Artificial Intelligence · Computer Science 2012-05-14 Daniel Andrade , Bernhard Sick

In this paper, following an elementary line of thought which somewhat differs from the usual one, we prove once more that any deterministic theory predictively equivalent to quantum mechanics unavoidably exhibits a contextual character. The…

Quantum Physics · Physics 2009-11-13 GianCarlo Ghirardi , Karl Wienand

Reasoning about exceptions in ontologies is nowadays one of the challenges the description logics community is facing. The paper describes a preferential approach for dealing with exceptions in Description Logics, based on the rational…

Artificial Intelligence · Computer Science 2018-07-10 Laura Giordano , Valentina Gliozzi

Bayesian networks provide a modeling language and associated inference algorithm for stochastic domains. They have been successfully applied in a variety of medium-scale applications. However, when faced with a large complex domain, the…

Artificial Intelligence · Computer Science 2013-02-08 Daphne Koller , Avi Pfeffer

We address the problem of causal interpretation of the graphical structure of Bayesian belief networks (BBNs). We review the concept of causality explicated in the domain of structural equations models and show that it is applicable to…

Artificial Intelligence · Computer Science 2013-03-08 Marek J. Druzdzel , Herbert A. Simon

We address the problem of link reciprocity, the non-random presence of two mutual links between pairs of vertices. We propose a new measure of reciprocity that allows the ordering of networks according to their actual degree of correlation…

Disordered Systems and Neural Networks · Physics 2007-05-23 Diego Garlaschelli , Maria I. Loffredo

Non-classical negations may fail to be contradictory-forming operators in more than one way, and they often fail also to respect fundamental meta-logical properties such as the replacement property. Such drawbacks are witnessed by intricate…

Logic in Computer Science · Computer Science 2017-07-26 Ori Lahav , João Marcos , Yoni Zohar

Explainable recommendation systems leverage transparent reasoning to foster user trust and improve decision-making processes. Current approaches typically decouple recommendation generation from explanation creation, violating causal…

Artificial Intelligence · Computer Science 2025-03-12 Guanrong Li , Haolin Yang , Xinyu Liu , Zhen Wu , Xinyu Dai

Predicting missing links in real networks is an important problem in network science to which considerable efforts have been devoted, giving as a result a vast plethora of link prediction methods in the literature. In this work, we take a…

Physics and Society · Physics 2019-02-04 Guillermo García-Pérez , Roya Aliakbarisani , Abdorasoul Ghasemi , M. Ángeles Serrano

Mutual understanding of artificial agents' decisions is key to ensuring a trustworthy and successful human-robot interaction. Hence, robots are expected to make reasonable decisions and communicate them to humans when needed. In this…

Robotics · Computer Science 2026-03-18 Alberto Olivares-Alarcos , Sergi Foix , Júlia Borràs , Gerard Canal , Guillem Alenyà

Artificial neural networks (ANN) are inadequate to biological neural networks. This inadequacy is manifested in the use of the obsolete model of the neuron and the connectionist paradigm of constructing ANN. The result of this inadequacy is…

Neural and Evolutionary Computing · Computer Science 2017-07-13 Yuri Parzhin

Differential Linear Logic enriches Linear Logic with additional logical rules for the exponential connectives, dual to the usual rules of dereliction, weakening and contraction. We present a proof-net syntax for Differential Linear Logic…

Logic in Computer Science · Computer Science 2016-06-07 Thomas Ehrhard

We study the correspondence between Bayesian Networks and graphical representation of proofs in linear logic. The goal of this paper is threefold: to develop a proof-theoretical account of Bayesian inference (in the spirit of the…

Logic in Computer Science · Computer Science 2026-02-05 Rémi Di Guardia , Thomas Ehrhard , Jérôme Evrard , Claudia Faggian