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In light of recent data science trends, new interest has fallen in alternative matrix factorizations. By this, we mean various ways of factorizing particular data matrices so that the factors have special properties and reveal insights into…

Optimization and Control · Mathematics 2023-02-21 Andries Steenkamp

Cold-start challenges in recommender systems necessitate leveraging auxiliary features beyond user-item interactions. However, the presence of irrelevant or noisy features can degrade predictive performance, whereas an excessive number of…

Information Retrieval · Computer Science 2025-08-11 Nikita Sukhorukov , Danil Gusak , Evgeny Frolov

We develop a message-passing algorithm for noisy matrix completion problems based on matrix factorization. The algorithm is derived by approximating message distributions of belief propagation with Gaussian distributions that share the same…

Machine Learning · Statistics 2021-10-27 Koki Okajima , Yoshiyuki Kabashima

A new message-passing (MP) method is considered for the matrix completion problem associated with recommender systems. We attack the problem using a (generative) factor graph model that is related to a probabilistic low-rank matrix…

Information Theory · Computer Science 2010-07-06 Byung-Hak Kim , Arvind Yedla , Henry D. Pfister

Probabilistic approach to Boolean matrix factorization can provide solutions robustagainst noise and missing values with linear computational complexity. However,the assumption about latent factors can be problematic in real world…

Machine Learning · Statistics 2019-05-31 Lifan Liang , Songjian Lu

Recommender system has attracted lots of attentions since it helps users alleviate the information overload problem. Matrix factorization technique is one of the most widely employed collaborative filtering techniques in the research of…

Information Retrieval · Computer Science 2014-05-06 Yonghong Yu , Can Wang , Yang Gao

Recommender systems is one of the most successful AI technologies applied in the internet cooperations. Popular internet products such as TikTok, Amazon, and YouTube have all integrated recommender systems as their core product feature.…

Information Retrieval · Computer Science 2020-11-10 Hao Wang , Bing Ruan

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

Recommender systems are emerging technologies that nowadays can be found in many applications such as Amazon, Netflix, and so on. These systems help users to find relevant information, recommendations, and their preferred items. Slightly…

Machine Learning · Computer Science 2013-08-05 Nima Mirbakhsh , Charles X. Ling

A usual way to model a recommendation system is as a matrix completion problem. There are several matrix completion methods, typically using optimization approaches or collaborative filtering. Most approaches assume that the matrix is…

Information Retrieval · Computer Science 2017-07-20 Guilherme Ramos , Joao Saude , Carlos Caleiro , Soummya Kar

Recommender systems can be formulated as a matrix completion problem, predicting ratings from user and item parameter vectors. Optimizing these parameters by subsampling data becomes difficult as the number of users and items grows. We…

Information Retrieval · Computer Science 2018-07-09 Elias Tragas , Calvin Luo , Maxime Gazeau , Kevin Luk , David Duvenaud

Recommender systems provide personalized recommendations to the users from a large number of possible options in online stores. Matrix factorization is a well-known and accurate collaborative filtering approach for recommender system, which…

Information Retrieval · Computer Science 2019-09-30 Seyed Mohammad Hashemi , Mohammad Rahmati

Poisson factorization is a probabilistic model of users and items for recommendation systems, where the so-called implicit consumer data is modeled by a factorized Poisson distribution. There are many variants of Poisson factorization…

Social and Information Networks · Computer Science 2017-03-07 Seyed Abbas Hosseini , Keivan Alizadeh , Ali Khodadadi , Ali Arabzadeh , Mehrdad Farajtabar , Hongyuan Zha , Hamid R. Rabiee

Matrix Factorization is a widely adopted technique in the field of recommender system. Matrix Factorization techniques range from SVD, LDA, pLSA, SVD++, MatRec, Zipf Matrix Factorization and Item2Vec. In recent years, distributed word…

Information Retrieval · Computer Science 2022-04-28 Hao Wang

Matrix factorization has now become a dominant solution for personalized recommendation on the Social Web. To alleviate the cold start problem, previous approaches have incorporated various additional sources of information into traditional…

Information Retrieval · Computer Science 2017-08-15 Zhenghua Xu , Cheng Chen , Thomas Lukasiewicz , Yishu Miao

Estimating the rank of a corrupted data matrix is an important task in data analysis, most notably for choosing the number of components in PCA. Significant progress on this task was achieved using random matrix theory by characterizing the…

Statistics Theory · Mathematics 2023-07-12 Boris Landa , Thomas T. C. K. Zhang , Yuval Kluger

Top-N recommender systems have been investigated widely both in industry and academia. However, the recommendation quality is far from satisfactory. In this paper, we propose a simple yet promising algorithm. We fill the user-item matrix…

Information Retrieval · Computer Science 2016-01-20 Zhao Kang , Chong Peng , Qiang Cheng

Cold start problem in Collaborative Filtering can be solved by asking new users to rate a small seed set of representative items or by asking representative users to rate a new item. The question is how to build a seed set that can give…

Information Retrieval · Computer Science 2016-10-18 Alexander Fonarev , Alexander Mikhalev , Pavel Serdyukov , Gleb Gusev , Ivan Oseledets

For many recommender systems, the primary data source is a historical record of user clicks. The associated click matrix is often very sparse, as the number of users x products can be far larger than the number of clicks. Such sparsity is…

Information Retrieval · Computer Science 2024-12-12 Julien Monteil , Volodymyr Vaskovych , Wentao Lu , Anirban Majumder , Anton van den Hengel

We introduce negative binomial matrix factorization (NBMF), a matrix factorization technique specially designed for analyzing over-dispersed count data. It can be viewed as an extension of Poisson matrix factorization (PF) perturbed by a…

Machine Learning · Computer Science 2018-01-08 Olivier Gouvert , Thomas Oberlin , Cédric Févotte