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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…

Machine Learning · Computer Science 2022-05-03 Anthony C. Constantinou , Yang Liu , Neville K. Kitson , Kiattikun Chobtham , Zhigao Guo

We present a novel hybrid algorithm for Bayesian network structure learning, called Hybrid HPC (H2PC). It first reconstructs the skeleton of a Bayesian network and then performs a Bayesian-scoring greedy hill-climbing search to orient the…

Machine Learning · Statistics 2015-08-25 Maxime Gasse , Alex Aussem , Haytham Elghazel

The process of training feedforward neural networks (FFNNs) can benefit from an automated process where the best heuristic to train the network is sought out automatically by means of a high-level probabilistic-based heuristic. This…

Machine Learning · Computer Science 2024-09-10 Arné Schreuder , Anna Bosman , Andries Engelbrecht , Christopher Cleghorn

This work introduces a novel and efficient Bayesian federated learning algorithm, namely, the Federated Averaging stochastic Hamiltonian Monte Carlo (FA-HMC), for parameter estimation and uncertainty quantification. We establish rigorous…

Machine Learning · Computer Science 2024-07-10 Jiajun Liang , Qian Zhang , Wei Deng , Qifan Song , Guang Lin

This article presents an algorithm for learning the essential graph of a Bayesian network. The basis of the algorithm is the Maximum Minimum Parents and Children algorithm developed by previous authors, with three substantial modifications.…

Computation · Statistics 2010-07-19 John M. Noble

We propose a novel hierarchical Bayesian approach to Federated Learning (FL), where our model reasonably describes the generative process of clients' local data via hierarchical Bayesian modeling: constituting random variables of local…

Machine Learning · Computer Science 2026-03-03 Minyoung Kim , Timothy Hospedales

Federated learning has shown its advances recently but is still facing many challenges, such as how algorithms save communication resources and reduce computational costs, and whether they converge. To address these critical issues, we…

Machine Learning · Computer Science 2024-04-22 Shenglong Zhou , Geoffrey Ye Li

We present a novel hybrid algorithm for Bayesian network structure learning, called H2PC. It first reconstructs the skeleton of a Bayesian network and then performs a Bayesian-scoring greedy hill-climbing search to orient the edges. The…

Machine Learning · Statistics 2015-06-19 Maxime Gasse , Alex Aussem , Haytham Elghazel

This paper describes a new library for learning Bayesian networks from data containing discrete and continuous variables (mixed data). In addition to the classical learning methods on discretized data, this library proposes its algorithm…

Machine Learning · Statistics 2021-06-25 Anna V. Bubnova , Irina Deeva , Anna V. Kalyuzhnaya

Federated learning is a decentralized and privacy-preserving technique that enables multiple clients to collaborate with a server to learn a global model without exposing their private data. However, the presence of statistical…

Machine Learning · Computer Science 2023-07-06 Shiyu Liu , Shaogao Lv , Dun Zeng , Zenglin Xu , Hui Wang , Yue Yu

Federated learning has emerged as an innovative paradigm of collaborative machine learning. Unlike conventional machine learning, a global model is collaboratively learned while data remains distributed over a tremendous number of client…

Machine Learning · Computer Science 2020-12-08 Taehyeon Kim , Sangmin Bae , Jin-woo Lee , Seyoung Yun

A Bayesian network is a widely used probabilistic graphical model with applications in knowledge discovery and prediction. Learning a Bayesian network (BN) from data can be cast as an optimization problem using the well-known…

Artificial Intelligence · Computer Science 2020-09-01 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Bayesian network classifiers (BNCs) possess a number of properties desirable for a modern classifier: They are easily interpretable, highly scalable, and offer adaptable complexity. However, traditional methods for learning BNCs have…

Machine Learning · Computer Science 2025-05-30 Connor Cooper , Geoffrey I. Webb , Daniel F. Schmidt

Bayesian Federated Learning (BFL) enables uncertainty quantification and robust adaptation in distributed learning. In contrast to the frequentist approach, it estimates the posterior distribution of a global model, offering insights into…

Machine Learning · Computer Science 2025-04-23 Usevalad Milasheuski , Luca Barbieri , Sanaz Kianoush , Monica Nicoli , Stefano Savazzi

Data generated at the network edge can be processed locally by leveraging the paradigm of edge computing (EC). Aided by EC, decentralized federated learning (DFL), which overcomes the single-point-of-failure problem in the parameter server…

Networking and Internet Architecture · Computer Science 2022-12-06 Yunming Liao , Yang Xu , Hongli Xu , Lun Wang , Chen Qian

One underlying assumption of recent federated learning (FL) paradigms is that all local models usually share the same network architecture and size, which becomes impractical for devices with different hardware resources. A scalable…

Machine Learning · Computer Science 2022-05-27 Dezhong Yao , Wanning Pan , Michael J O'Neill , Yutong Dai , Yao Wan , Hai Jin , Lichao Sun

Federated Learning (FL) is a distributed learning paradigm that empowers edge devices to collaboratively learn a global model leveraging local data. Simulating FL on GPU is essential to expedite FL algorithm prototyping and evaluations.…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-05-26 Min Zhang , Fuxun Yu , Yongbo Yu , Minjia Zhang , Ang Li , Xiang Chen

Score functions for learning the structure of Bayesian networks in the literature assume that data are a homogeneous set of observations; whereas it is often the case that they comprise different related, but not homogeneous, data sets…

Machine Learning · Statistics 2021-07-20 Laura Azzimonti , Giorgio Corani , Marco Scutari

Very few methods for hybrid federated learning, where clients only hold subsets of both features and samples, exist. Yet, this scenario is extremely important in practical settings. We provide a fast, robust algorithm for hybrid federated…

Machine Learning · Computer Science 2025-02-28 Tom Overman , Garrett Blum , Diego Klabjan

Federated learning harnesses the power of distributed optimization to train a unified machine learning model across separate clients. However, heterogeneous data distributions and computational workloads can lead to inconsistent updates and…

Machine Learning · Computer Science 2024-10-15 Aayushya Agarwal , Gauri Joshi , Larry Pileggi
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