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This paper investigates a representation language with flexibility inspired by probabilistic logic and compactness inspired by relational Bayesian networks. The goal is to handle propositional and first-order constructs together with…

Artificial Intelligence · Computer Science 2012-07-19 Fabio Gagliardi Cozman , Cassio Polpo de Campos , Jaime Ide , Jose Carlos Ferreira da Rocha

Classical causal and statistical inference methods typically assume the observed data consists of independent realizations. However, in many applications this assumption is inappropriate due to a network of dependences between units in the…

Machine Learning · Computer Science 2019-07-02 Rohit Bhattacharya , Daniel Malinsky , Ilya Shpitser

Causal Bayesian networks are 'causal' models since they make predictions about interventional distributions. To connect such causal model predictions to real-world outcomes, we must determine which actions in the world correspond to which…

Machine Learning · Statistics 2025-02-04 Frederik Hytting Jørgensen , Luigi Gresele , Sebastian Weichwald

In this paper we present a fully Bayesian latent variable model which exploits conditional nonlinear(in)-dependence structures to learn an efficient latent representation. The latent space is factorized to represent shared and private…

Machine Learning · Computer Science 2012-06-22 Andreas Damianou , Carl Ek , Michalis Titsias , Neil Lawrence

This work reports the most relevant technical aspects in the problem of learning the \emph{Markov network structure} from data. Such problem has become increasingly important in machine learning, and many other application fields of machine…

Artificial Intelligence · Computer Science 2013-11-21 Federico Schlüter

A standard technique for understanding underlying dependency structures among a set of variables posits a shared conditional probability distribution for the variables measured on individuals within a group. This approach is often referred…

Machine Learning · Statistics 2014-05-13 Elham Azizi , James E. Galagan , Edoardo M. Airoldi

Bayes belief networks and influence diagrams are tools for constructing coherent probabilistic representations of uncertain knowledge. The process of constructing such a network to represent an expert's knowledge is used to illustrate a…

Artificial Intelligence · Computer Science 2013-04-11 Max Henrion

Machine learning provides algorithms that can learn from data and make inferences or predictions on data. Bayesian networks are a class of graphical models that allow to represent a collection of random variables and their condititional…

Artificial Intelligence · Computer Science 2019-01-08 Robert Leppert , Karl-Heinz Zimmermann

Non-Bayesian social learning theory provides a framework for distributed inference of a group of agents interacting over a social network by sequentially communicating and updating beliefs about the unknown state of the world through…

Methodology · Statistics 2019-10-25 James Z. Hare , Cesar Uribe , Lance Kaplan , Ali Jadbabaie

Dynamic Bayesian networks have been well explored in the literature as discrete-time models: however, their continuous-time extensions have seen comparatively little attention. In this paper, we propose the first constraint-based algorithm…

Artificial Intelligence · Computer Science 2021-06-04 Alessandro Bregoli , Marco Scutari , Fabio Stella

Structural learning of directed acyclic graphs (DAGs) or Bayesian networks has been studied extensively under the assumption that data are independent. We propose a new Gaussian DAG model for dependent data which assumes the observations…

Machine Learning · Statistics 2021-07-30 Hangjian Li , Oscar Hernan Madrid Padilla , Qing Zhou

Three classes of algorithms to learn the structure of Bayesian networks from data are common in the literature: constraint-based algorithms, which use conditional independence tests to learn the dependence structure of the data; score-based…

Methodology · Statistics 2021-02-10 Marco Scutari , Catharina Elisabeth Graafland , José Manuel Gutiérrez

High-dimensional data analysis typically focuses on low-dimensional structure, often to aid interpretation and computational efficiency. Graphical models provide a powerful methodology for learning the conditional independence structure in…

Methodology · Statistics 2024-09-13 Maria De Iorio , Willem van den Boom , Alexandros Beskos , Ajay Jasra , Andrea Cremaschi

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

Within this study, we propose a new approach for natural language processing using Bayesian networks to predict and analyze the context and how this approach can be applied to the Community Question Answering domain. We discuss how Bayesian…

Machine Learning · Computer Science 2023-08-04 Alexey Gorbatovski , Sergey Kovalchuk

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

Graphical models have gained a lot of attention recently as a tool for learning and representing dependencies among variables in multivariate data. Often, domain scientists are looking specifically for differences among the dependency…

Machine Learning · Statistics 2013-07-11 Diane Oyen , Alexandru Niculescu-Mizil , Rachel Ostroff , Alex Stewart , Vincent P. Clark

Bayesian networks provide a probabilistic semantics for qualitative assertions about likelihood. A qualitative reasoner based on an algebra over these assertions can derive further conclusions about the influence of actions. While the…

Artificial Intelligence · Computer Science 2013-04-12 Michael P. Wellman

Causal and counterfactual reasoning are emerging directions in data science that allow us to reason about hypothetical scenarios. This is particularly useful in fields like environmental and ecological sciences, where interventional data…

Artificial Intelligence · Computer Science 2024-12-06 Rafael Cabañas , Ana D. Maldonado , María Morales , Pedro A. Aguilera , Antonio Salmerón

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
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