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Matrix approximation is a common tool in machine learning for building accurate prediction models for recommendation systems, text mining, and computer vision. A prevalent assumption in constructing matrix approximations is that the…

Machine Learning · Computer Science 2013-01-16 Joonseok Lee , Seungyeon Kim , Guy Lebanon , Yoram Singer

Matrix factorization (MS) is a collaborative filtering (CF) based approach, which is widely used for recommendation systems (RS). In this research work, we deal with the content recommendation problem for users in a content management…

Information Retrieval · Computer Science 2023-01-25 Debashish Roy , Rajarshi Roy Chowdhury , Abdullah Bin Nasser , Afdhal Azmi , Marzieh Babaeianjelodar

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

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

Recommender systems, which can significantly help users find their interested items from the information era, has attracted an increasing attention from both the scientific and application society. One of the widest applied recommendation…

Information Retrieval · Computer Science 2015-05-19 Lu Yu , Chuang Liu , Zi-Ke Zhang

Conventional collaborative filtering techniques don't take into consideration the effect of discrepancy in users' rating perception. Some users may rarely give 5 stars to items while others almost always assign 5 stars to the chosen item.…

Information Retrieval · Computer Science 2022-05-11 Nikita Marin , Elizaveta Makhneva , Maria Lysyuk , Vladimir Chernyy , Ivan Oseledets , Evgeny Frolov

We study the problem of {\em online} low-rank matrix completion with $\mathsf{M}$ users, $\mathsf{N}$ items and $\mathsf{T}$ rounds. In each round, the algorithm recommends one item per user, for which it gets a (noisy) reward sampled from…

Machine Learning · Computer Science 2023-03-08 Prateek Jain , Soumyabrata Pal

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

We propose a novel algorithm for sequential matrix completion in a recommender system setting, where the $(i,j)$th entry of the matrix corresponds to a user $i$'s rating of product $j$. The objective of the algorithm is to provide a…

Information Retrieval · Computer Science 2017-10-24 Annie Marsden , Sergio Bacallado

Recently, matrix factorization-based recommendation methods have been criticized for the problem raised by the triangle inequality violation. Although several metric learning-based approaches have been proposed to overcome this issue,…

Information Retrieval · Computer Science 2019-06-06 Chanyoung Park , Donghyun Kim , Xing Xie , Hwanjo Yu

Collaborative filtering is the most popular approach for recommender systems. One way to perform collaborative filtering is matrix factorization, which characterizes user preferences and item attributes using latent vectors. These latent…

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

Recommendation models can effectively estimate underlying user interests and predict one's future behaviors by factorizing an observed user-item rating matrix into products of two sets of latent factors. However, the user-specific embedding…

Information Retrieval · Computer Science 2022-03-08 Qitian Wu , Hengrui Zhang , Xiaofeng Gao , Junchi Yan , Hongyuan Zha

Matrix completion is a class of machine learning methods that concerns the prediction of missing entries in a partially observed matrix. This paper studies matrix completion for mixed data, i.e., data involving mixed types of variables…

Machine Learning · Statistics 2022-11-18 Yunxiao Chen , Xiaoou Li

Completing a data matrix X has become an ubiquitous problem in modern data science, with applications in recommender systems, computer vision, and networks inference, to name a few. One typical assumption is that X is low-rank. A more…

Machine Learning · Computer Science 2018-08-03 Daniel L. Pimentel-Alarcón

Low-rank approximation of a matrix by means of random sampling has been consistently efficient in its empirical studies by many scientists who applied it with various sparse and structured multipliers, but adequate formal support for this…

Numerical Analysis · Mathematics 2016-06-07 Victor Y. Pan , Liang Zhao

Matrix factorization is a key component of collaborative filtering-based recommendation systems because it allows us to complete sparse user-by-item ratings matrices under a low-rank assumption that encodes the belief that similar users…

Machine Learning · Statistics 2016-04-22 Aleksandr Y. Aravkin , Kush R. Varshney , Liu Yang

Collaborative filtering is one of the most popular techniques in designing recommendation systems, and its most representative model, matrix factorization, has been wildly used by researchers and the industry. However, this model suffers…

Information Retrieval · Computer Science 2019-12-17 Yixin Su , Sarah Monazam Erfani , Rui Zhang

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

Low-rank Matrix Completion (LRMC) describes the problem where we wish to recover missing entries of partially observed low-rank matrix. Most existing matrix completion work deals with sampling procedures that are independent of the…

Machine Learning · Computer Science 2025-04-15 Rishhabh Naik , Nisarg Trivedi , Davoud Ataee Tarzanagh , Laura Balzano

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