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Latent variables may lead to spurious relationships that can be misinterpreted as causal relationships. In Bayesian Networks (BNs), this challenge is known as learning under causal insufficiency. Structure learning algorithms that assume…

Machine Learning · Computer Science 2020-08-19 Kiattikun Chobtham , Anthony C. Constantinou

Currently, many verification algorithms are available to improve the reliability of software systems. Selecting the appropriate verification algorithm typically demands domain expertise and non-trivial manpower. An automated algorithm…

Software Engineering · Computer Science 2025-05-26 Jie Su , Liansai Deng , Cheng Wen , Rong Wang , Zhi Ma , Nan Zhang , Cong Tian , Zhenhua Duan , Shengchao Qin

With the proliferation of data-driven services, the volume of data that needs to be processed by satellite networks has significantly increased. Federated learning (FL) is well-suited for big data processing in distributed,…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-05 Zhuocheng Liu , Zhishu Shen , Pan Zhou , Qiushi Zheng , Jiong Jin

This paper focuses on Bayesian inference in a federated learning context (FL). While several distributed MCMC algorithms have been proposed, few consider the specific limitations of FL such as communication bottlenecks and statistical…

Machine Learning · Statistics 2022-11-02 Vincent Plassier , Alain Durmus , Eric Moulines

Federated learning (FL) enables collaborative model training across distributed clients while preserving data privacy. However, data and system heterogeneity often cause catastrophic forgetting and unbounded drift in model updates, leading…

Machine Learning · Computer Science 2026-04-28 Taehwan Yoon , Bongjun Choi , Wesley De Neve

Forward-backward stochastic differential equations (FBSDEs) have been generalized by introducing jumps for better capturing random phenomena, while the resulting FBSDEs are far more intricate than the standard one from every perspective. In…

Numerical Analysis · Mathematics 2024-10-15 Reiichiro Kawai , Riu Naito , Toshihiro Yamada

This work studies the deep learning-based numerical algorithms for optimal hedging problems in markets with general convex transaction costs on the trading rates, focusing on their scalability of trading time horizon. Based on the…

Mathematical Finance · Quantitative Finance 2022-12-29 Xiaofei Shi , Daran Xu , Zhanhao Zhang

This paper builds on recent developments in Bayesian network (BN) structure learning under the controversial assumption that the input variables are dependent. This assumption can be viewed as a learning constraint geared towards cases…

Machine Learning · Computer Science 2020-06-08 Anthony Constantinou

In industrial machine learning pipelines, data often arrive in parts. Particularly in the case of deep neural networks, it may be too expensive to train the model from scratch each time, so one would rather use a previously learned model…

Machine Learning · Statistics 2018-03-29 Max Kochurov , Timur Garipov , Dmitry Podoprikhin , Dmitry Molchanov , Arsenii Ashukha , Dmitry Vetrov

Bayesian model comparison (BMC) offers a principled approach for assessing the relative merits of competing computational models and propagating uncertainty into model selection decisions. However, BMC is often intractable for the popular…

Machine Learning · Statistics 2023-11-27 Lasse Elsemüller , Martin Schnuerch , Paul-Christian Bürkner , Stefan T. Radev

Over the past two decades, the feedforward neural network (FNN) optimization has been a key interest among the researchers and practitioners of multiple disciplines. The FNN optimization is often viewed from the various perspectives: the…

Neural and Evolutionary Computing · Computer Science 2017-05-17 Varun Kumar Ojha , Ajith Abraham , Václav Snášel

Federated learning is an emerging paradigm for decentralized training of machine learning models on distributed clients, without revealing the data to the central server. Most existing works have focused on horizontal or vertical data…

Machine Learning · Computer Science 2024-04-16 Jaeyeon Jang , Diego Klabjan , Veena Mendiratta , Fanfei Meng

Federated learning (FL) allows multiple clients to collectively train a high-performance global model without sharing their private data. However, the key challenge in federated learning is that the clients have significant statistical…

Machine Learning · Computer Science 2022-03-23 Liang Gao , Huazhu Fu , Li Li , Yingwen Chen , Ming Xu , Cheng-Zhong Xu

We propose a novel training recipe for federated learning with heterogeneous networks where each device can have different architectures. We introduce training with a side objective to the devices of higher complexities to jointly train…

Machine Learning · Computer Science 2022-07-08 Durmus Alp Emre Acar , Venkatesh Saligrama

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 2018-11-14 Zhenyu A. Liao , Charupriya Sharma , James Cussens , Peter van Beek

Since the first theoretically feasible full homomorphic encryption (FHE) scheme was proposed in 2009, great progress has been achieved. These improvements have made FHE schemes come off the paper and become quite useful in solving some…

Cryptography and Security · Computer Science 2024-03-19 Yuqi Guo , Lin Li , Zhongxiang Zheng , Hanrui Yun , Ruoyan Zhang , Xiaolin Chang , Zhixuan Gao

This study investigates the potential of hybrid metaheuristic algorithms to enhance the training of Probabilistic Neural Networks (PNNs) by leveraging the complementary strengths of multiple optimisation strategies. Traditional learning…

Neural and Evolutionary Computing · Computer Science 2025-04-16 Piotr A. Kowalski , Szymon Kucharczyk , Jacek Mańdziuk

Decision trees have found widespread application within the machine learning community due to their flexibility and interpretability. This paper is directed towards learning decision trees from data using a Bayesian approach, which is…

Machine Learning · Computer Science 2023-12-05 Jodie A. Cochrane , Adrian G. Wills , Sarah J. Johnson

Federated learning has attracted significant attention as a privacy-preserving framework for training personalised models on multi-source heterogeneous data. However, most existing approaches are unable to handle scenarios where subgroup…

Methodology · Statistics 2025-10-14 Changxin Yang , Zhongyi Zhu , Heng Lian

In the federated learning setting, multiple clients jointly train a model under the coordination of the central server, while the training data is kept on the client to ensure privacy. Normally, inconsistent distribution of data across…

Machine Learning · Computer Science 2020-12-21 Wei Huang , Tianrui Li , Dexian Wang , Shengdong Du , Junbo Zhang