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Decentralized recommender system does not rely on the central service provider, and the users can keep the ownership of their ratings. This article brings the theoretically well-studied matrix factorization method into the decentralized…

Information Retrieval · Computer Science 2016-04-29 Wenjie Zheng

When a user connects to the Internet to fulfill his needs, he often encounters a huge amount of related information. Recommender systems are the techniques for massively filtering information and offering the items that users find them…

Machine Learning · Computer Science 2021-07-15 Mahdi Kherad , Amir Jalaly Bidgoly

Online dating platforms have fundamentally transformed the formation of romantic relationships, with millions of users worldwide relying on algorithmic matching systems to find compatible partners. However, current recommendation systems in…

Information Retrieval · Computer Science 2026-01-29 Madhav Kotecha

Matrix Factorization has emerged as a widely adopted framework for modeling data exhibiting low-rank structures. To address challenges in manifold learning, this paper presents a subspace-constrained quadratic matrix factorization model.…

Machine Learning · Computer Science 2024-11-08 Zheng Zhai , Xiaohui Li

Recommender system is currently widely used in many e-commerce systems, such as Amazon, eBay, and so on. It aims to help users to find items which they may be interested in. In literature, neighborhood-based collaborative filtering and…

Social and Information Networks · Computer Science 2016-08-09 Yefeng Ruan , Tzu-Chun Lin

Matrix factorization (MF), a cornerstone of recommender systems, decomposes user-item interaction matrices into latent representations. Traditional MF approaches, however, employ a two-stage, non-end-to-end paradigm, sequentially performing…

Information Retrieval · Computer Science 2025-04-22 Shangde Gao , Ke Liu , Yichao Fu , Hongxia Xu , Jian Wu

Matrix factorization techniques have been widely used as a method for collaborative filtering for recommender systems. In recent times, different variants of deep learning algorithms have been explored in this setting to improve the task of…

Machine Learning · Computer Science 2019-03-26 Vaibhav Krishna , Tian Guo , Nino Antulov-Fantulin

Matrix factorization models are the core of current commercial collaborative filtering Recommender Systems. This paper tested six representative matrix factorization models, using four collaborative filtering datasets. Experiments have…

Information Retrieval · Computer Science 2024-10-28 Jesús Bobadilla , Jorge Dueñas-Lerín , Fernando Ortega , Abraham Gutierrez

We present a very fast algorithm for general matrix factorization of a data matrix for use in the statistical analysis of high-dimensional data via latent factors. Such data are prevalent across many application areas and generate an…

Matrix factorization from a small number of observed entries has recently garnered much attention as the key ingredient of successful recommendation systems. One unresolved problem in this area is how to adapt current methods to handle…

Machine Learning · Computer Science 2012-08-07 John Z. Sun , Kush R. Varshney , Karthik Subbian

Most state-of-the-art top-N collaborative recommender systems work by learning embeddings to jointly represent users and items. Learned embeddings are considered to be effective to solve a variety of tasks. Among others, providing and…

Information Retrieval · Computer Science 2021-04-14 Giovanni Gabbolini , Edoardo D'Amico , Cesare Bernardis , Paolo Cremonesi

Although Recommender Systems have been comprehensively studied in the past decade both in industry and academia, most of current recommender systems suffer from the following issues: 1) The data sparsity of the user-item matrix seriously…

Information Retrieval · Computer Science 2018-05-29 Ze Wang , Hong Li

When recommending personalized top-$k$ items to users, how can we recommend the items diversely to them while satisfying their needs? Aggregately diversified recommender systems aim to recommend a variety of items across whole users without…

Information Retrieval · Computer Science 2022-11-03 Jongjin Kim , Hyunsik Jeon , Jaeri Lee , U Kang

Recommender system has been more and more popular and widely used in many applications recently. The increasing information available, not only in quantities but also in types, leads to a big challenge for recommender system that how to…

Artificial Intelligence · Computer Science 2011-12-30 Tianqi Chen , Zhao Zheng , Qiuxia Lu , Weinan Zhang , Yong Yu

The Nonnegative Matrix Factorization (NMF) of the rating matrix has shown to be an effective method to tackle the recommendation problem. In this paper we propose new methods based on the NMF of the rating matrix and we compare them with…

Machine Learning · Computer Science 2019-08-30 Gianna M. Del Corso , Francesco Romani

Matrix factorization (MF) is a classical collaborative filtering algorithm for recommender systems. It decomposes the user-item interaction matrix into a product of low-dimensional user representation matrix and item representation matrix.…

Information Retrieval · Computer Science 2023-08-15 Shangde Gao , Ke Liu , Yichao Fu

The problem of decomposing a given covariance matrix as the sum of a positive semi-definite matrix of given rank and a positive semi-definite diagonal matrix, is considered. We present a projection-type algorithm to address this problem.…

Optimization and Control · Mathematics 2018-06-13 Valentina Ciccone , Augusto Ferrante , Mattia Zorzi

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

Regularization is a popular technique to solve the overfitting problem of machine learning algorithms. Most regularization technique relies on parameter selection of the regularization coefficient. Plug-in method and cross-validation…

Machine Learning · Computer Science 2022-05-24 Hao Wang

Matrix factorization is a widely used approach for top-N recommendation and collaborative filtering. When implemented on implicit feedback data (such as clicks), a common heuristic is to upweight the observed interactions. This strategy has…

Information Retrieval · Computer Science 2025-10-14 Alex Ayoub , Samuel Robertson , Dawen Liang , Harald Steck , Nathan Kallus