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In this paper, we aim to design and analyze distributed Bayesian estimation algorithms for sensor networks. The challenges we address are to (i) derive a distributed provably-correct algorithm in the functional space of probability…

机器学习 · 计算机科学 2025-03-25 Parth Paritosh , Nikolay Atanasov , Sonia Martinez

As a compact representation of joint probability distributions over a dependence graph of random variables, and a tool for modelling and reasoning in the presence of uncertainty, Bayesian networks are of great importance for artificial…

量子物理 · 物理学 2020-10-06 Michael de Oliveira , Luis Soares Barbosa

Estimating causal interactions in complex dynamical systems is an important problem encountered in many fields of current science. While a theoretical solution for detecting the causal interactions has been previously formulated in the…

数据分析、统计与概率 · 物理学 2020-01-20 Jakub Kořenek , Jaroslav Hlinka

The paper tackles the problem of clustering multiple networks, directed or not, that do not share the same set of vertices, into groups of networks with similar topology. A statistical model-based approach based on a finite mixture of…

统计理论 · 数学 2023-11-07 Tabea Rebafka

Mixed data refers to a type of data in which variables can be of multiple types, such as continuous, discrete, or categorical. This data is routinely collected in various fields, including healthcare and social sciences. A common goal in…

统计方法学 · 统计学 2025-05-22 Mauro Florez , Anna Gottard , Carrie McAdams , Michele Guindani , Marina Vannucci

The adaptive processing of structured data is a long-standing research topic in machine learning that investigates how to automatically learn a mapping from a structured input to outputs of various nature. Recently, there has been an…

机器学习 · 计算机科学 2022-02-28 Federico Errica

This paper develops a Bayesian graphical model for fusing disparate types of count data. The motivating application is the study of bacterial communities from diverse high dimensional features, in this case transcripts, collected from…

Real-world clinical problems are often characterized by multimodal data, usually associated with incomplete views and limited sample sizes in their cohorts, posing significant limitations for machine learning algorithms. In this work, we…

We describe algorithms for learning Bayesian networks from a combination of user knowledge and statistical data. The algorithms have two components: a scoring metric and a search procedure. The scoring metric takes a network structure,…

人工智能 · 计算机科学 2021-06-29 Dan Geiger , David Heckerman

We introduce a class of neural networks derived from probabilistic models in the form of Bayesian networks. By imposing additional assumptions about the nature of the probabilistic models represented in the networks, we derive neural…

无序系统与神经网络 · 物理学 2010-04-30 Michael J. Barber , John W. Clark

We develop sampling algorithms to fit Bayesian hierarchical models, the computational complexity of which scales linearly with the number of observations and the number of parameters in the model. We focus on crossed random effect and…

统计计算 · 统计学 2025-01-03 Omiros Papaspiliopoulos , Timothée Stumpf-Fétizon , Giacomo Zanella

This note is concerned with an accurate and computationally efficient variational bayesian treatment of mixed-effects modelling. We focus on group studies, i.e. empirical studies that report multiple measurements acquired in multiple…

机器学习 · 统计学 2019-03-22 Jean Daunizeau

We investigate the effect of cadmium (a toxic environmental pollutant) on the correlation structure of a number of urinary metabolites using Gaussian graphical models (GGMs). The inferred metabolic associations can provide important…

统计方法学 · 统计学 2019-04-23 Linda S. L. Tan , Ajay Jasra , Maria De Iorio , Timothy M. D. Ebbels

Relational query optimisers rely on cost models to choose between different query execution plans. Selectivity estimates are known to be a crucial input to the cost model. In practice, standard selectivity estimation procedures are prone to…

数据库 · 计算机科学 2020-09-22 Max Halford , Philippe Saint-Pierre , Franck Morvan

Motivation: Several different threads of research have been proposed for modeling and mining temporal data. On the one hand, approaches such as dynamic Bayesian networks (DBNs) provide a formal probabilistic basis to model relationships…

机器学习 · 计算机科学 2009-04-15 Debprakash Patnaik , Srivatsan Laxman , Naren Ramakrishnan

This paper presents a novel application of graph neural networks for modeling and estimating network heterogeneity. Network heterogeneity is characterized by variations in unit's decisions or outcomes that depend not only on its own…

计量经济学 · 经济学 2024-01-30 Yike Wang , Chris Gu , Taisuke Otsu

Bayesian neural networks have successfully designed and optimized a robust neural network model in many application problems, including uncertainty quantification. However, with its recent success, information-theoretic understanding about…

信息论 · 计算机科学 2022-06-22 Jae Oh Woo

Recent technological advances have made it possible to simultaneously measure multiple protein activities at the single cell level. With such data collected under different stimulatory or inhibitory conditions, it is possible to infer the…

应用统计 · 统计学 2011-08-04 Ruiyan Luo , Hongyu Zhao

Estimating conditional independence graphs from high-dimensional Gaussian data is challenging because methods must detect relevant edges while rigorously controlling statistical errors. We propose a Bayesian framework based on a prior…

统计方法学 · 统计学 2026-04-21 Roland B. Sogan , Tabea Rebafka , Fanny Villers

Bayesian network modelling is a well adapted approach to study messy and highly correlated datasets which are very common in, e.g., systems epidemiology. A popular approach to learn a Bayesian network from an observational datasets is to…

机器学习 · 统计学 2018-08-06 Gilles Kratzer , Reinhard Furrer
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