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Bayesian Matrix Factorization (BMF) is a powerful technique for recommender systems because it produces good results and is relatively robust against overfitting. Yet BMF is more computationally intensive and thus more challenging to…

We propose a new approach for Collaborative Filtering which is based on Boolean Matrix Factorisation (BMF) and Formal Concept Analysis. In a series of experiments on real data (Movielens dataset) we compare the approach with the SVD- and…

Information Retrieval · Computer Science 2013-12-03 Elena Nenova , Dmitry I. Ignatov , Andrey V. Konstantinov

Matrix factorization (MF) is a widely used collaborative filtering (CF) algorithm for recommendation systems (RSs), due to its high prediction accuracy, great flexibility and high efficiency in big data processing. However, with the…

Information Retrieval · Computer Science 2026-03-26 Yining Wu , Shengyu Duan , Gaole Sai , Chenhong Cao , Guobing Zou

Federated recommendation addresses the data silo and privacy problems altogether for recommender systems. Current federated recommender systems mainly utilize cryptographic or obfuscation methods to protect the original ratings from…

Information Retrieval · Computer Science 2022-06-22 Liu Yang , Junxue Zhang , Di Chai , Leye Wang , Kun Guo , Kai Chen , Qiang Yang

Boolean matrix factorization is a natural and a popular technique for summarizing binary matrices. In this paper, we study a problem of Boolean matrix factorization where we additionally require that the factor matrices have consecutive…

Data Structures and Algorithms · Computer Science 2019-05-16 Nikolaj Tatti , Pauli Miettinen

Matrix Factorization (MF) has found numerous applications in Machine Learning and Data Mining, including collaborative filtering recommendation systems, dimensionality reduction, data visualization, and community detection. Motivated by the…

Machine Learning · Computer Science 2023-09-26 Ioannis Kordonis , Emmanouil Theodosis , George Retsinas , Petros Maragos

We propose a method for computing binary orthogonal non-negative matrix factorization (BONMF) for clustering and classification. The method is tested on several representative real-world data sets. The numerical results confirm that the…

Machine Learning · Computer Science 2022-10-20 S. Fathi Hafshejani , D. Gaur , S. Hossain , R. Benkoczi

Using the matrix factorization technique in machine learning is very common mainly in areas like recommender systems. Despite its high prediction accuracy and its ability to avoid over-fitting of the data, the Bayesian Probabilistic Matrix…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-05-31 Tom Vander Aa , Imen Chakroun , Tom Haber

Nonnegative matrix factorization (NMF) is a powerful tool in data exploratory analysis by discovering the hidden features and part-based patterns from high-dimensional data. NMF and its variants have been successfully applied into diverse…

Computer Vision and Pattern Recognition · Computer Science 2017-07-27 Lihua Zhang , Shihua Zhang

Federated learning (FL), as a distributed collaborative machine learning (ML) framework under privacy-preserving constraints, has garnered increasing research attention in cross-organizational data collaboration scenarios. This paper…

Machine Learning · Computer Science 2025-10-31 Wenyou Guo , Ting Qu , Chunrong Pan , George Q. Huang

Factorization Machines (FM), a general predictor that can efficiently model feature interactions in linear time, was primarily proposed for collaborative recommendation and have been broadly used for regression, classification and ranking…

Machine Learning · Computer Science 2021-08-18 Yu Geng , Liang Lan

Matrix factorization (MF) is a simple collaborative filtering technique that achieves superior recommendation accuracy by decomposing the user-item interaction matrix into user and item latent matrices. Because the model typically learns…

Information Retrieval · Computer Science 2024-03-11 Kai Sugahara , Kazushi Okamoto

In binary polynomial optimization, the goal is to find a binary point maximizing a given polynomial function. In this paper, we propose a novel way of formulating this general optimization problem, which we call factorized binary polynomial…

Optimization and Control · Mathematics 2024-07-08 Alberto Del Pia

Federated learning is a promising distributed machine learning paradigm that can effectively exploit large-scale data without exposing users' privacy. However, it may incur significant communication overhead, thereby potentially impairing…

Machine Learning · Computer Science 2024-08-07 Shiwei Li , Wenchao Xu , Haozhao Wang , Xing Tang , Yining Qi , Shijie Xu , Weihong Luo , Yuhua Li , Xiuqiang He , Ruixuan Li

Bayesian model-based clustering is a widely applied procedure for discovering groups of related observations in a dataset. These approaches use Bayesian mixture models, estimated with MCMC, which provide posterior samples of the model…

Methodology · Statistics 2018-09-24 Ketong Wang , Michael D. Porter

Latent Factor Model (LFM) is one of the most successful methods for Collaborative filtering (CF) in the recommendation system, in which both users and items are projected into a joint latent factor space. Base on matrix factorization…

Information Retrieval · Computer Science 2021-05-19 Jiansheng Fang , Xiaoqing Zhang , Yan Hu , Yanwu Xu , Ming Yang , Jiang Liu

Federated Learning (FL) solutions with central Differential Privacy (DP) have seen large improvements in their utility in recent years arising from the matrix mechanism, while FL solutions with distributed (more private) DP have lagged…

Cryptography and Security · Computer Science 2025-06-18 Alexander Bienstock , Ujjwal Kumar , Antigoni Polychroniadou

Federated learning is an emerging distributed machine learning framework aiming at protecting data privacy. Data heterogeneity is one of the core challenges in federated learning, which could severely degrade the convergence rate and…

Machine Learning · Statistics 2025-11-27 Feifei Wang , Huiyun Tang , Yang Li

With an increasing focus on data privacy, there have been pilot studies on recommender systems in a federated learning (FL) framework, where multiple parties collaboratively train a model without sharing their data. Most of these studies…

Information Retrieval · Computer Science 2023-05-09 Peihua Mai , Yan Pang