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Related papers: MatMat: Matrix Factorization by Matrix Fitting

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The nonnegative matrix factorization is a widely used, flexible matrix decomposition, finding applications in biology, image and signal processing and information retrieval, among other areas. Here we present a related matrix factorization.…

Machine Learning · Statistics 2017-12-12 David W Dreisigmeyer

Collaborative filtering generates recommendations by exploiting user-item similarities based on rating data, which often contains numerous unrated items. To predict scores for unrated items, matrix factorization techniques such as…

Statistical Mechanics · Physics 2025-07-30 Yukino Terui , Yuka Inoue , Yohei Hamakawa , Kosuke Tatsumura , Kazue Kudo

Recommender systems are hedged with various requirements, such as ranking quality, optimisation efficiency, and item fairness. Item fairness is an emerging yet impending issue in practical systems. The notion of item fairness requires…

Information Retrieval · Computer Science 2022-11-22 Riku Togashi , Kenshi Abe

One of the most efficient methods in collaborative filtering is matrix factorization, which finds the latent vector representations of users and items based on the ratings of users to items. However, a matrix factorization based algorithm…

Information Retrieval · Computer Science 2018-05-15 ThaiBinh Nguyen , Atsuhiro Takasu

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

Matrix factorization is a well-studied task in machine learning for compactly representing large, noisy data. In our approach, instead of using the traditional concept of matrix rank, we define a new notion of link-rank based on a…

Machine Learning · Statistics 2018-05-02 Pouya Pezeshkpour , Carlos Guestrin , Sameer Singh

Matrix factorization is a powerful data analysis tool. It has been used in multivariate time series analysis, leading to the decomposition of the series in a small set of latent factors. However, little is known on the statistical…

Statistics Theory · Mathematics 2020-09-22 Pierre Alquier , Nicolas Marie

Low rank matrix factorisation is often used in recommender systems as a way of extracting latent features. When dealing with large and sparse datasets, traditional recommendation algorithms face the problem of acquiring large, unrestrained,…

Machine Learning · Computer Science 2018-07-17 Shuai Jiang , Kan Li , Richard Yi Da Xu

Recommendation systems personalise suggestions to individuals to help them in their decision making and exploration tasks. In the ideal case, these recommendations, besides of being accurate, should also be novel and explainable. However,…

Information Retrieval · Computer Science 2019-07-26 Ludovik Coba , Panagiotis Symeonidis , Markus Zanker

Matrix factorization is an inference problem that has acquired importance due to its vast range of applications that go from dictionary learning to recommendation systems and machine learning with deep networks. The study of its fundamental…

Disordered Systems and Neural Networks · Physics 2023-08-01 Francesco Camilli , Marc Mézard

Context-aware recommendation algorithms focus on refining recommendations by considering additional information, available to the system. This topic has gained a lot of attention recently. Among others, several factorization methods were…

Information Retrieval · Computer Science 2015-05-20 Balázs Hidasi , Domonkos Tikk

Popularity bias is a well-known phenomenon in recommender systems: popular items are recommended even more frequently than their popularity would warrant, amplifying long-tail effects already present in many recommendation domains. Prior…

Information Retrieval · Computer Science 2020-07-27 Himan Abdollahpouri , Masoud Mansoury , Robin Burke , Bamshad Mobasher

Due to the extensive growth of information available online, recommender systems play a more significant role in serving people's interests. Traditional recommender systems mostly use an accuracy-focused approach to produce recommendations.…

Information Retrieval · Computer Science 2023-02-22 Samira Vaez Barenji , Saeed Farzi

Collaborative filtering is an effective recommendation approach in which the preference of a user on an item is predicted based on the preferences of other users with similar interests. A big challenge in using collaborative filtering…

Information Retrieval · Computer Science 2012-03-19 Yu Zhang , Bin Cao , Dit-Yan Yeung

Advanced and effective collaborative filtering methods based on explicit feedback assume that unknown ratings do not follow the same model as the observed ones (\emph{not missing at random}). In this work, we build on this assumption, and…

Machine Learning · Statistics 2015-07-24 Robin Devooght , Nicolas Kourtellis , Amin Mantrach

Conventional collaborative filtering techniques treat a top-n recommendations problem as a task of generating a list of the most relevant items. This formulation, however, disregards an opposite - avoiding recommendations with completely…

Machine Learning · Computer Science 2016-07-15 Evgeny Frolov , Ivan Oseledets

Constrained low-rank matrix approximations have been known for decades as powerful linear dimensionality reduction techniques to be able to extract the information contained in large data sets in a relevant way. However, such low-rank…

Machine Learning · Computer Science 2021-12-20 Pierre De Handschutter , Nicolas Gillis , Xavier Siebert

Federated recommender systems have distinct advantages in terms of privacy protection over traditional recommender systems that are centralized at a data center. However, previous work on federated recommender systems does not fully…

Information Retrieval · Computer Science 2023-03-07 Yujie Lin , Pengjie Ren , Zhumin Chen , Zhaochun Ren , Dongxiao Yu , Jun Ma , Maarten de Rijke , Xiuzhen Cheng

Beyond accuracy, there are a variety of aspects to the quality of recommender systems, such as diversity, fairness, and robustness. We argue that many of the prevalent problems in recommender systems are partly due to low-dimensionality of…

Information Retrieval · Computer Science 2023-05-24 Naoto Ohsaka , Riku Togashi

Supervised classification and representation learning are two widely used classes of methods to analyze multivariate images. Although complementary, these methods have been scarcely considered jointly in a hierarchical modeling. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-02-14 Adrien Lagrange , Mathieu Fauvel , Stéphane May , José Bioucas-Dias , Nicolas Dobigeon
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