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We provide a survey on relational models. Relational models describe complete networked {domains by taking into account global dependencies in the data}. Relational models can lead to more accurate predictions if compared to non-relational…

Artificial Intelligence · Computer Science 2016-09-13 Volker Tresp , Maximilian Nickel

Relevance-based explanation is a scheme in which partial assignments to Bayesian belief network variables are explanations (abductive conclusions). We allow variables to remain unassigned in explanations as long as they are irrelevant to…

Artificial Intelligence · Computer Science 2013-03-08 Solomon Eyal Shimony

We propose a method to identify all the nodes that are relevant to compute all the conditional probability distributions for a given set of nodes. Our method is simple, effcient, consistent, and does not require learning a Bayesian network…

Machine Learning · Computer Science 2012-07-02 Jose M. Pena , Roland Nilsson , Johan Björkegren , Jesper Tegnér

We argue here about the relevance and the ultimate unity of the Bayesian approach in a neutral and agnostic manner. Our main theme is that Bayesian data analysis is an effective tool for handling complex models, as proven by the increasing…

Methodology · Statistics 2010-03-26 Christian P. Robert

Relational data are usually highly incomplete in practice, which inspires us to leverage side information to improve the performance of community detection and link prediction. This paper presents a Bayesian probabilistic approach that…

Machine Learning · Statistics 2017-06-15 He Zhao , Lan Du , Wray Buntine

This paper studies the connection between probabilistic conditional independence in uncertain reasoning and data dependency in relational databases. As a demonstration of the usefulness of this preliminary investigation, an alternate proof…

Artificial Intelligence · Computer Science 2013-02-28 Michael S. K. M. Wong , Z. W. Wang

Bayesian networks have been used extensively in diagnostic tasks such as medicine, where they represent the dependency relations between a set of symptoms and a set of diseases. A criticism of this type of knowledge representation is that…

Artificial Intelligence · Computer Science 2013-03-25 Luis Enrique Sucar , Duncan F. Gillies

We propose a new approach to explain Bayesian Networks. The approach revolves around a new definition of a probabilistic argument and the evidence it provides. We define a notion of independent arguments, and propose an algorithm to extract…

Artificial Intelligence · Computer Science 2021-12-03 Jaime Sevilla

The majority of Semantic Web search engines retrieve information by focusing on the use of concepts and relations restricted to the query provided by the user. By trying to guess the implicit meaning between these concepts and relations,…

Information Retrieval · Computer Science 2012-11-28 Manuel Rojas

Here tree dependency structures are studied from three different perspectives: their degree variance (hubiness), the mean dependency length and the number of dependency crossings. Bounds that reveal pairwise dependencies among these three…

Computation and Language · Computer Science 2013-05-16 Ramon Ferrer-i-Cancho

In this work, we propose a theory for information matching. It is motivated by the observation that retrieval is about the relevance matching between two sets of properties (features), namely, the information need representation and…

Information Retrieval · Computer Science 2012-06-04 Jagadeesh Gorla , Stephen Robertson , Jun Wang , Tamas Jambor

A Bayesian network is a graphical model that encodes probabilistic relationships among variables of interest. When used in conjunction with statistical techniques, the graphical model has several advantages for data analysis. One, because…

Machine Learning · Computer Science 2022-01-11 David Heckerman

We consider two variables that are related to each other by an invertible function. While it has previously been shown that the dependence structure of the noise can provide hints to determine which of the two variables is the cause, we…

Attempts to replicate probabilistic reasoning in expert systems have typically overlooked a critical ingredient of that process. Probabilistic analysis typically requires extensive judgments regarding interdependencies among hypotheses and…

Artificial Intelligence · Computer Science 2013-04-15 Marvin S. Cohen

This work presents a sound probabilistic method for enforcing adherence of the marginal probabilities of a multi-label model to automatically discovered deterministic relationships among labels. In particular we focus on discovering two…

Machine Learning · Computer Science 2014-04-18 Christina Papagiannopoulou , Grigorios Tsoumakas , Ioannis Tsamardinos

Branching and weak probabilistic bisimilarities are two well-known notions capturing behavioral equivalence between nondeterministic probabilistic systems. For probabilistic systems, divergence is of major concern. Recently several…

Logic in Computer Science · Computer Science 2024-12-31 Hao Wu , Yuxi Fu , Huan Long , Xian Xu , Wenbo Zhang

Positivity, the assumption that every unique combination of confounding variables that occurs in a population has a non-zero probability of an action, can be further delineated as deterministic positivity and stochastic positivity. Here, we…

Methodology · Statistics 2022-07-12 Paul N Zivich , Stephen R Cole , Daniel Westreich

The causal (belief) network is a well-known graphical structure for representing independencies in a joint probability distribution. The exact methods and the approximation methods, which perform probabilistic inference in causal networks,…

Artificial Intelligence · Computer Science 2013-04-05 Richard E. Neapolitan , James Kenevan

A fundamental task in statistical learning is quantifying the joint dependence or association between two continuous random variables. We introduce a novel, fully non-parametric measure that assesses the degree of association between…

Bayesian inference systems should be able to explain their reasoning to users, translating from numerical to natural language. Previous empirical work has investigated the correspondence between absolute probabilities and linguistic…

Artificial Intelligence · Computer Science 2013-04-08 Christopher Elsaesser , Max Henrion