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In this work, we present a method to generate probability distributions and classes of probability distributions, which broadens a process of probability distribution construction. In this method, distribution classes are built from…

Statistics Theory · Mathematics 2021-08-16 Cícero Carlos Ramos de Brito , Leandro Chaves Rêgo , Wilson Rosa de Oliveira

In this paper, we propose a model for building natural language explanations for Bayesian Network Reasoning in terms of factor arguments, which are argumentation graphs of flowing evidence, relating the observed evidence to a target…

Artificial Intelligence · Computer Science 2024-10-24 Jaime Sevilla , Nikolay Babakov , Ehud Reiter , Alberto Bugarin

Contagion processes are strongly linked to the network structures on which they propagate, and learning these structures is essential for understanding and intervention on complex network processes such as epidemics and (mis)information…

Social and Information Networks · Computer Science 2019-08-12 Caitlin Gray , Lewis Mitchell , Matthew Roughan

Bayesian networks provide a method of representing conditional independence between random variables and computing the probability distributions associated with these random variables. In this paper, we extend Bayesian network structures to…

Artificial Intelligence · Computer Science 2013-02-21 Eric Driver , Darryl Morrell

We propose a random walks based model to generate complex networks. Many authors studied and developed different methods and tools to analyze complex networks by random walk processes. Just to cite a few, random walks have been adopted to…

Physics and Society · Physics 2015-06-19 Marco Alberto Javarone

A reliable knowledge structure is a prerequisite for building effective adaptive learning systems and intelligent tutoring systems. Pursuing an explainable and trustworthy knowledge structure, we propose a method for constructing causal…

Artificial Intelligence · Computer Science 2024-06-27 Yuang Wei , Yizhou Zhou , Yuan-Hao Jiang , Bo Jiang

Recursive loops in a logic program present a challenging problem to the PLP framework. On the one hand, they loop forever so that the PLP backward-chaining inferences would never stop. On the other hand, they generate cyclic influences,…

Artificial Intelligence · Computer Science 2007-05-23 Y. D. Shen , Q. Yang , J. H. You , L. Y. Yuan

We investigate the problem of learning to generate complex networks from data. Specifically, we consider whether deep belief networks, dependency networks, and members of the exponential random graph family can learn to generate networks…

Machine Learning · Computer Science 2014-11-11 James Atwood , Don Towsley , Krista Gile , David Jensen

A major reason behind the success of probability calculus is that it possesses a number of valuable tools, which are based on the notion of probabilistic independence. In this paper, I identify a notion of logical independence that makes…

Artificial Intelligence · Computer Science 2013-03-08 Adnan Darwiche

A new method is proposed for exploiting causal independencies in exact Bayesian network inference. A Bayesian network can be viewed as representing a factorization of a joint probability into the multiplication of a set of conditional…

Artificial Intelligence · Computer Science 2014-11-17 N. L. Zhang , D. Poole

We examine the complexity of inference in Bayesian networks specified by logical languages. We consider representations that range from fragments of propositional logic to function-free first-order logic with equality; in doing so we cover…

Artificial Intelligence · Computer Science 2017-01-09 Fabio Gagliardi Cozman , Denis Deratani Mauá

Causal relationships form the basis for reasoning and decision-making in Artificial Intelligence systems. To exploit the large volume of textual data available today, the automatic discovery of causal relationships from text has emerged as…

Computation and Language · Computer Science 2020-11-30 Farhad Moghimifar , Afshin Rahimi , Mahsa Baktashmotlagh , Xue Li

We develop simple methods for constructing likelihoods and parameter priors for learning about the parameters and structure of a Bayesian network. In particular, we introduce several assumptions that permit the construction of likelihoods…

Machine Learning · Computer Science 2021-07-01 David Heckerman , Dan Geiger

We introduce a new class of deterministic networks by associating networks with Diophantine equations, thus relating network topology to algebraic properties. The network is formed by representing integers as vertices and by drawing cliques…

Physics and Society · Physics 2009-11-13 C. Bedogné , A. P. Masucci , G. J. Rodgers

Probability estimation is one of the fundamental tasks in statistics and machine learning. However, standard methods for probability estimation on discrete objects do not handle object structure in a satisfactory manner. In this paper, we…

Applications · Statistics 2018-11-06 Cheng Zhang , Frederick A. Matsen

Learning, taking into account full distribution of the data, referred to as generative, is not feasible with deep neural networks (DNNs) because they model only the conditional distribution of the outputs given the inputs. Current solutions…

Machine Learning · Computer Science 2017-09-26 Boris Flach , Alexander Shekhovtsov , Ondrej Fikar

Whereas acausal Bayesian networks represent probabilistic independence, causal Bayesian networks represent causal relationships. In this paper, we examine Bayesian methods for learning both types of networks. Bayesian methods for learning…

Artificial Intelligence · Computer Science 2015-05-19 David Heckerman

Mechanistic models can provide an intuitive and interpretable explanation of network growth by specifying a set of generative rules. These rules can be defined by domain knowledge about real-world mechanisms governing network growth or may…

Social and Information Networks · Computer Science 2025-12-04 Maxwell H Wang , Till Hoffmann , Jukka-Pekka Onnela

This paper describes a Bayesian method for learning causal networks using samples that were selected in a non-random manner from a population of interest. Examples of data obtained by non-random sampling include convenience samples and…

Artificial Intelligence · Computer Science 2013-01-18 Gregory F. Cooper

Structure learning is essential for Bayesian networks (BNs) as it uncovers causal relationships, and enables knowledge discovery, predictions, inferences, and decision-making under uncertainty. Two novel algorithms, FSBN and SSBN, based on…

Machine Learning · Computer Science 2023-10-16 Minn Sein , Fu Shunkai