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Collaborative filtering (CF) has achieved great success in the field of recommender systems. In recent years, many novel CF models, particularly those based on deep learning or graph techniques, have been proposed for a variety of…

Information Retrieval · Computer Science 2021-02-16 Haiyang Zhang , Ivan Ganchev , Nikola S. Nikolov , Mark Stevenson

We consider the problem of ranking $n$ experts according to their abilities, based on the correctness of their answers to $d$ questions. This is modeled by the so-called crowd-sourcing model, where the answer of expert $i$ on question $k$…

Statistics Theory · Mathematics 2025-12-25 Alexandra Carpentier , Nicolas Verzelen

Most of the existing recommender systems are based only on the rating data, and they ignore other sources of information that might increase the quality of recommendations, such as textual reviews, or user and item characteristics.…

Information Retrieval · Computer Science 2021-11-17 Tatev Karen Aslanyan , Flavius Frasincar

Rank minimization is of interest in machine learning applications such as recommender systems and robust principal component analysis. Minimizing the convex relaxation to the rank minimization problem, the nuclear norm, is an effective…

Optimization and Control · Mathematics 2021-03-30 April Sagan , John E. Mitchell

Data often comes in the form of an array or matrix. Matrix factorization techniques attempt to recover missing or corrupted entries by assuming that the matrix can be written as the product of two low-rank matrices. In other words, matrix…

Machine Learning · Computer Science 2015-12-16 Gintare Karolina Dziugaite , Daniel M. Roy

There is much empirical evidence that item-item collaborative filtering works well in practice. Motivated to understand this, we provide a framework to design and analyze various recommendation algorithms. The setup amounts to online binary…

Machine Learning · Computer Science 2016-01-11 Guy Bresler , Devavrat Shah , Luis F. Voloch

Matrix factorization is a popular approach to solving matrix estimation problems based on partial observations. Existing matrix factorization is based on least squares and aims to yield a low-rank matrix to interpret the conditional sample…

Machine Learning · Statistics 2017-03-06 Rui Zhu , Di Niu , Linglong Kong , Zongpeng Li

We present a scalable Bayesian model for low-rank factorization of massive tensors with binary observations. The proposed model has the following key properties: (1) in contrast to the models based on the logistic or probit likelihood,…

Machine Learning · Statistics 2015-08-19 Changwei Hu , Piyush Rai , Lawrence Carin

We develop a new collaborative filtering (CF) method that combines both previously known users' preferences, i.e. standard CF, as well as product/user attributes, i.e. classical function approximation, to predict a given user's interest in…

Machine Learning · Computer Science 2007-05-23 Jacob Abernethy , Francis Bach , Theodoros Evgeniou , Jean-Philippe Vert

The past few years have witnessed the great success of recommender systems, which can significantly help users find out personalized items for them from the information era. One of the most widely applied recommendation methods is the…

Information Retrieval · Computer Science 2015-06-17 Chu-Xu Zhang , Zi-Ke Zhang , Lu Yu , Chuang Liu , Hao Liu , Xiao-Yong Yan

The proposed article aims at offering a comprehensive tutorial for the computational aspects of structured matrix and tensor factorization. Unlike existing tutorials that mainly focus on {\it algorithmic procedures} for a small set of…

Signal Processing · Electrical Eng. & Systems 2023-07-19 Xiao Fu , Nico Vervliet , Lieven De Lathauwer , Kejun Huang , Nicolas Gillis

Nonnegative matrix factorization (NMF) has an established reputation as a useful data analysis technique in numerous applications. However, its usage in practical situations is undergoing challenges in recent years. The fundamental factor…

Machine Learning · Computer Science 2016-05-04 Mariano Tepper , Guillermo Sapiro

Matrix and tensor completion are frameworks for a wide range of problems, including collaborative filtering, missing data, and image reconstruction. Missing entries are estimated by leveraging an assumption that the matrix or tensor is…

Methodology · Statistics 2019-05-29 Daniel E. Gilbert , Martin T. Wells

Low-rank methods have shown success in accelerating simulations of a collisionless plasma described by the Vlasov equation, but still rely on computationally costly linear algebra every time step. We propose a data-driven factorization…

Numerical Analysis · Mathematics 2025-01-09 Bhavana Jonnalagadda , Stephen Becker

Predicting unobserved entries of a partially observed matrix has found wide applicability in several areas, such as recommender systems, computational biology, and computer vision. Many scalable methods with rigorous theoretical guarantees…

Machine Learning · Statistics 2018-02-15 Vatsal Shah , Nikhil Rao , Weicong Ding

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

Machine Learning · Statistics 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

Rating elicitation is a success element for recommender systems to perform well at cold-starting, in which the systems need to recommend items to a newly arrived user with no prior knowledge about the user's preference. Existing elicitation…

Information Retrieval · Computer Science 2024-06-04 Hieu Trung Nguyen , Duy Nguyen , Khoa Doan , Viet Anh Nguyen

We describe methods to predict a crowd worker's accuracy on new tasks based on his accuracy on past tasks. Such prediction provides a foundation for identifying the best workers to route work to in order to maximize accuracy on the new…

Computers and Society · Computer Science 2013-10-22 Hyun Joon Jung , Matthew Lease

A huge amount of user generated content related to movies is created with the popularization of web 2.0. With these continues exponential growth of data, there is an inevitable need for recommender systems as people find it difficult to…

Information Retrieval · Computer Science 2019-06-04 Lasitha Uyangoda , Supunmali Ahangama , Tharindu Ranasinghe

This paper proposes a novel fuzzy action selection method to leverage human knowledge in reinforcement learning problems. Based on the estimates of the most current action-state values, the proposed fuzzy nonlinear mapping as-signs each…

Artificial Intelligence · Computer Science 2021-06-15 Mohsen Annabestani , Ali Abedi , Mohammad Reza Nematollahi , Mohammad Bagher Naghibi Sis-tani