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Existing works based on latent factor models have focused on representing the rating matrix as a product of user and item latent factor matrices, both being dense. Latent (factor) vectors define the degree to which a trait is possessed by…

Information Retrieval · Computer Science 2015-05-08 Anupriya Gogna , Angshul Majumdar

Collaborative filtering is the simplest but oldest machine learning algorithm in the field of recommender systems. In spite of its long history, it remains a discussion topic in research venues. Usually people use users/items whose…

Information Retrieval · Computer Science 2023-03-09 Hao Wang

Currently, matrix decomposition is one of the most widely used collaborative filtering algorithms by using factor decomposition to effectively deal with large-scale rating matrix. It mainly uses the interaction records between users and…

Information Retrieval · Computer Science 2023-12-05 Dan Liu , Hou-biao Li

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

Collaborative filtering is an important technique for recommendation. Whereas it has been repeatedly shown to be effective in previous work, its performance remains unsatisfactory in many real-world applications, especially those where the…

Information Retrieval · Computer Science 2018-08-15 Zhiyu Min , Dahua Lin

Existing feature filters rely on statistical pair-wise dependence metrics to model feature-target relationships, but this approach may fail when the target depends on higher-order feature interactions rather than individual contributions.…

Machine Learning · Computer Science 2025-10-07 Taurai Muvunza , Egor Kraev , Pere Planell-Morell , Alexander Y. Shestopaloff

Nonnegative matrix factorization (NMF) is a powerful class of feature extraction techniques that has been successfully applied in many fields, namely in signal and image processing. Current NMF techniques have been limited to a…

Machine Learning · Statistics 2015-01-26 Paul Honeine , Fei Zhu

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

This paper is concerned with sequential state filtering in the presence of nonlinearity, non-Gaussianity and model uncertainty. For this problem, the Bayesian model averaged particle filter (BMAPF) is perhaps one of the most efficient…

Computation · Statistics 2020-01-28 Bin Liu

Product recommendation systems are important for major movie studios during the movie greenlight process and as part of machine learning personalization pipelines. Collaborative Filtering (CF) models have proved to be effective at powering…

Information Retrieval · Computer Science 2018-03-02 Miguel Campo , JJ Espinoza , Julie Rieger , Abhinav Taliyan

Non-negative matrix factorization (NMF) is a new knowledge discovery method that is used for text mining, signal processing, bioinformatics, and consumer analysis. However, its basic property as a learning machine is not yet clarified, as…

Statistics Theory · Mathematics 2019-06-10 Naoki Hayashi , Sumio Watanabe

Nonnegative Matrix Factorization (NMF) has been a popular representation method for pattern classification problem. It tries to decompose a nonnegative matrix of data samples as the product of a nonnegative basic matrix and a nonnegative…

Machine Learning · Statistics 2013-12-06 Jim Jing-Yan Wang

Recommendation systems have become an important solution to information search problems. This article proposes a neural matrix factorization recommendation system model based on the multimodal large language model called BoNMF. This model…

Information Retrieval · Computer Science 2024-07-15 Ao Xiang , Bingjie Huang , Xinyu Guo , Haowei Yang , Tianyao Zheng

Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local minima, or to one of several minima with similar objective value…

Machine Learning · Computer Science 2024-10-30 Youdong Guo , Timothy E. Holy

In this article, we focus on the cooperative state estimation problem of a multi-agent system. Each agent is equipped with absolute and relative measurements. The purpose of this research is to make each agent generate its own state…

Multiagent Systems · Computer Science 2023-05-18 Yu Ding , Yirui Cong , Xiangke Wang

In this paper, we consider a popular model for collaborative filtering in recommender systems where some users of a website rate some items, such as movies, and the goal is to recover the ratings of some or all of the unrated items of each…

Machine Learning · Statistics 2014-03-10 Kai Zhu , Rui Wu , Lei Ying , R. Srikant

Despite having various attractive qualities such as high prediction accuracy and the ability to quantify uncertainty and avoid over-fitting, Bayesian Matrix Factorization has not been widely adopted because of the prohibitive cost of…

Machine Learning · Computer Science 2015-03-11 Sungjin Ahn , Anoop Korattikara , Nathan Liu , Suju Rajan , Max Welling

Sparsity of user-to-item rating data becomes one of challenging issues in the recommender systems, which severely deteriorates the recommendation performance. Fortunately, context-aware recommender systems can alleviate the sparsity problem…

Information Retrieval · Computer Science 2022-02-22 Zhu Wang , Honglong Chen , Zhe Li , Kai Lin , Nan Jiang , Feng Xia

We propose an affine-mapping based variational Ensemble Kalman filter for sequential Bayesian filtering problems with generic observation models. Specifically, the proposed method is formulated as to construct an affine mapping from the…

Numerical Analysis · Mathematics 2021-09-06 Linjie Wen , Jinglai Li

Coupled Matrix Tensor Factorization (CMTF) facilitates the integration and analysis of multiple data sources and helps discover meaningful information. Nonnegative CMTF (N-CMTF) has been employed in many applications for identifying latent…

Machine Learning · Computer Science 2020-03-10 Thirunavukarasu Balasubramaniam , Richi Nayak , Chau Yuen