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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

Matrix factorization is a widely adopted recommender system technique that fits scalar rating values by dot products of user feature vectors and item feature vectors. However, the formulation of matrix factorization as a scalar fitting…

Information Retrieval · Computer Science 2021-12-07 Hao Wang

Collaborative filtering is the process of making recommendations regarding the potential preference of a user, for example shopping on the Internet, based on the preference ratings of the user and a number of other users for various items.…

Information Retrieval · Computer Science 2013-01-14 Rita Sharma , David L Poole

Understanding a user's motivations provides valuable information beyond the ability to recommend items. Quite often this can be accomplished by perusing both ratings and review texts, since it is the latter where the reasoning for specific…

Machine Learning · Computer Science 2015-12-08 Chao-Yuan Wu , Alex Beutel , Amr Ahmed , Alexander J. Smola

Matrix factorization exploits the idea that, in complex high-dimensional data, the actual signal typically lies in lower-dimensional structures. These lower dimensional objects provide useful insight, with interpretability favored by sparse…

Methodology · Statistics 2022-12-14 Lorenzo Schiavon , Bernardo Nipoti , Antonio Canale

Count data are often used in recommender systems: they are widespread (song play counts, product purchases, clicks on web pages) and can reveal user preference without any explicit rating from the user. Such data are known to be sparse,…

Information Retrieval · Computer Science 2019-07-10 Olivier Gouvert , Thomas Oberlin , Cédric Févotte

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

Recently, malevolent user hacking has become a huge problem for real-world companies. In order to learn predictive models for recommender systems, factorization techniques have been developed to deal with user-item ratings. In this paper,…

Information Retrieval · Computer Science 2022-11-08 Li Wang , Qiang Zhao , Wei Wang

Item recommendation is the task of predicting a personalized ranking on a set of items (e.g. websites, movies, products). In this paper, we investigate the most common scenario with implicit feedback (e.g. clicks, purchases). There are many…

Information Retrieval · Computer Science 2012-05-14 Steffen Rendle , Christoph Freudenthaler , Zeno Gantner , Lars Schmidt-Thieme

In the past decade, matrix factorization has been extensively researched and has become one of the most popular techniques for personalized recommendations. Nevertheless, the dot product adopted in matrix factorization based recommender…

Information Retrieval · Computer Science 2018-06-05 Shuai Zhang , Lina Yao , Yi Tay , Xiwei Xu , Xiang Zhang , Liming Zhu

We consider inventory decisions with many items, each of which has Poisson demand. The rate of demand for individual items is estimated on the basis of observations of past demand. The problem is to determine the items to hold in stock and…

Methodology · Statistics 2025-08-06 Edward Anderson , Nam Ho-Nguyen , Peter Radchenko

Recommender systems are often designed based on a collaborative filtering approach, where user preferences are predicted by modelling interactions between users and items. Many common approaches to solve the collaborative filtering task are…

Machine Learning · Computer Science 2021-10-11 Yinchong Yang , Florian Buettner

Boolean matrix factorization and Boolean matrix completion from noisy observations are desirable unsupervised data-analysis methods due to their interpretability, but hard to perform due to their NP-hardness. We treat these problems as…

Statistics Theory · Mathematics 2016-02-08 Siamak Ravanbakhsh , Barnabas Poczos , Russell Greiner

Sparse matrix factorization is a popular tool to obtain interpretable data decompositions, which are also effective to perform data completion or denoising. Its applicability to large datasets has been addressed with online and randomized…

Machine Learning · Statistics 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gaël Varoquaux

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

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

Matrix factorization is a very common machine learning technique in recommender systems. Bayesian Matrix Factorization (BMF) algorithms would be attractive because of their ability to quantify uncertainty in their predictions and avoid…

Machine Learning · Computer Science 2020-04-15 Tom Vander Aa , Xiangju Qin , Paul Blomstedt , Roel Wuyts , Wilfried Verachtert , Samuel Kaski

A collaborative filtering recommender system predicts user preferences by discovering common features among users and items. We implement such inference using a Bayesian double feature allocation model, that is, a model for random pairs of…

Methodology · Statistics 2022-02-03 Qiaohui Lin , Peter Mueller

Predicting personalized sequential behavior is a key task for recommender systems. In order to predict user actions such as the next product to purchase, movie to watch, or place to visit, it is essential to take into account both long-term…

Information Retrieval · Computer Science 2016-09-30 Ruining He , Julian McAuley

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