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Sparse Bayesian learning (SBL) has been extensively utilized in data-driven modeling to combat the issue of overfitting. While SBL excels in linear-in-parameter models, its direct applicability is limited in models where observations…

计算工程、金融与科学 · 计算机科学 2023-10-24 Nastaran Dabiran , Brandon Robinson , Rimple Sandhu , Mohammad Khalil , Chris L. Pettit , Dominique Poirel , Abhijit Sarkar

interpretable, and well understood models that are routinely employed even though, as is revealed through prior and posterior predictive checks, these can poorly characterise the spatial heterogeneity in the underlying process of interest.…

Due to its causal semantics, Bayesian networks (BN) have been widely employed to discover the underlying data relationship in exploratory studies, such as brain research. Despite its success in modeling the probability distribution of…

计算机视觉与模式识别 · 计算机科学 2015-06-24 Luping Zhou , Lei Wang , Lingqiao Liu , Philip Ogunbona , Dinggang Shen

In this work, we propose a novel method for Bayesian Networks (BNs) structure elicitation that is based on the initialization of several LLMs with different experiences, independently querying them to create a structure of the BN, and…

计算与语言 · 计算机科学 2024-07-15 Nikolay Babakov , Ehud Reiter , Alberto Bugarin

In this report paper we first present a report of the Advanced Machine Learning Course Project on the provided data set and then present a novel heuristic algorithm for exact Bayesian network (BN) structure discovery that uses decomposable…

人工智能 · 计算机科学 2014-11-26 Amir Arsalan Soltani

Networks are a commonly used mathematical model to describe the rich set of interactions between objects of interest. Many clustering methods have been developed in order to partition such structures, among which several rely on underlying…

统计方法学 · 统计学 2014-05-13 P. Latouche , E. Birmelé , C. Ambroise

Continuous-time Bayesian networks (CTBNs) constitute a general and powerful framework for modeling continuous-time stochastic processes on networks. This makes them particularly attractive for learning the directed structures among…

机器学习 · 统计学 2018-10-15 Dominik Linzner , Heinz Koeppl

Learning the structure of a Bayesian Network (BN) with score-based solutions involves exploring the search space of possible graphs and moving towards the graph that maximises a given objective function. Some algorithms offer exact…

机器学习 · 计算机科学 2022-05-03 Anthony C. Constantinou , Yang Liu , Neville K. Kitson , Kiattikun Chobtham , Zhigao Guo

Continual Learning is a learning paradigm where learning systems are trained with sequential or streaming tasks. Two notable directions among the recent advances in continual learning with neural networks are ($i$) variational Bayes based…

机器学习 · 计算机科学 2020-02-24 Abhishek Kumar , Sunabha Chatterjee , Piyush Rai

The score-based structure learning of Bayesian network (BN) is an effective way to learn BN models, which are regarded as some of the most compelling probabilistic graphical models in the field of representation and reasoning under…

机器学习 · 计算机科学 2025-04-08 Mingcan Wang , Junchang Xin , Luxuan Qu , Qi Chen , Zhiqiong Wang

Sum-product networks (SPNs) are flexible density estimators and have received significant attention due to their attractive inference properties. While parameter learning in SPNs is well developed, structure learning leaves something to be…

机器学习 · 计算机科学 2019-11-05 Martin Trapp , Robert Peharz , Hong Ge , Franz Pernkopf , Zoubin Ghahramani

Bayesian networks (BNs) are a widely used graphical model in machine learning for representing knowledge with uncertainty. The mainstream BN structure learning methods require performing a large number of conditional independence (CI)…

机器学习 · 计算机科学 2022-12-09 Jiantong Jiang , Zeyi Wen , Ajmal Mian

A representation of the cause-effect mechanism is needed to enable artificial intelligence to represent how the world works. Bayesian Networks (BNs) have proven to be an effective and versatile tool for this task. BNs require constructing a…

人工智能 · 计算机科学 2026-03-18 Joverlyn Gaudillo , Nicole Astrologo , Fabio Stella , Enzo Acerbi , Francesco Canonaco

This study proposes the first Bayesian approach for learning high-dimensional linear Bayesian networks. The proposed approach iteratively estimates each element of the topological ordering from backward and its parent using the inverse of a…

机器学习 · 统计学 2023-11-28 Seyong Hwang , Kyoungjae Lee , Sunmin Oh , Gunwoong Park

We study the problem of learning a Bayesian network (BN) of a set of variables when structural side information about the system is available. It is well known that learning the structure of a general BN is both computationally and…

机器学习 · 计算机科学 2021-12-22 Ehsan Mokhtarian , Sina Akbari , Fateme Jamshidi , Jalal Etesami , Negar Kiyavash

Structure learning of Bayesian networks has always been a challenging problem. Nowadays, massive-size networks with thousands or more of nodes but fewer samples frequently appear in many areas. We develop a divide-and-conquer framework,…

机器学习 · 统计学 2020-09-24 Jiaying Gu , Qing Zhou

Continual learning models allow to learn and adapt to new changes and tasks over time. However, in continual and sequential learning scenarios in which the models are trained using different data with various distributions, neural networks…

机器学习 · 计算机科学 2020-08-17 HongLin Li , Payam Barnaghi , Shirin Enshaeifar , Frieder Ganz

In this paper, we present a guide to the foundations of learning Dynamic Bayesian Networks (DBNs) from data in the form of multiple samples of trajectories for some length of time. We present the formalism for a generic as well as a set of…

机器学习 · 计算机科学 2024-09-02 Vyacheslav Kungurtsev , Fadwa Idlahcen , Petr Rysavy , Pavel Rytir , Ales Wodecki

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

Learning a Bayesian network structure from data is an NP-hard problem and thus exact algorithms are feasible only for small data sets. Therefore, network structures for larger networks are usually learned with various heuristics. Another…

机器学习 · 计算机科学 2012-10-19 Teppo Niinimaki , Pekka Parviainen