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Recently, nonnegative matrix factorization (NMF) has been widely adopted for community detection, because of its better interpretability. However, the existing NMF-based methods have the following three problems: 1) they directly transform…

Machine Learning · Computer Science 2024-02-15 Yuecheng Li , Jialong Chen , Chuan Chen , Lei Yang , Zibin Zheng

Bayesian matrix factorization (BMF) is a powerful tool for producing low-rank representations of matrices and for predicting missing values and providing confidence intervals. Scaling up the posterior inference for massive-scale matrices is…

Machine Learning · Statistics 2019-02-28 Xiangju Qin , Paul Blomstedt , Eemeli Leppäaho , Pekka Parviainen , Samuel Kaski

This paper presents a novel approach to sentiment classification using the application of Combinatorial Fusion Analysis (CFA) to integrate an ensemble of diverse machine learning models, achieving state-of-the-art accuracy on the IMDB…

Machine Learning · Computer Science 2025-11-03 Sean Patten , Pin-Yu Chen , Christina Schweikert , D. Frank Hsu

This paper describes algorithms for nonnegative matrix factorization (NMF) with the beta-divergence (beta-NMF). The beta-divergence is a family of cost functions parametrized by a single shape parameter beta that takes the Euclidean…

Machine Learning · Computer Science 2011-03-09 Cédric Févotte , Jérôme Idier

This is a course project report with complete methodology, experiments, references and mathematical derivations. Matrix factorization [1] is a widely used technique in recommendation systems. Probabilistic Matrix Factorization (PMF) [2]…

Machine Learning · Computer Science 2025-06-16 Ruixuan Xu , Xiangxiang Weng

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

The recently introduced collaborative nonnegative matrix factorization (CoNMF) algorithm was conceived to simultaneously estimate the number of endmembers, the mixing matrix, and the fractional abundances from hyperspectral linear mixtures.…

Optimization and Control · Mathematics 2016-09-21 Jun Li , Jose M. Bioucas-Dias , Antonio Plaza , Lin Liu

Collaborative filtering (CF) is a powerful recommender system that generates a list of recommended items for an active user based on the ratings of similar users. This paper presents a novel approach to CF by first finding the set of users…

Information Retrieval · Computer Science 2017-03-06 Doaa M. Shawky

In this paper, we propose a novel method to compute the similarity between congeneric nodes in bipartite networks. Different from the standard Person correlation, we take into account the influence of node's degree. Substituting this new…

Data Analysis, Statistics and Probability · Physics 2008-12-12 Runran Liu , Chunxiao Jia , Tao Zhou , Duo Sun , Binghong Wang

Embedding based models have been the state of the art in collaborative filtering for over a decade. Traditionally, the dot product or higher order equivalents have been used to combine two or more embeddings, e.g., most notably in matrix…

Information Retrieval · Computer Science 2020-06-03 Steffen Rendle , Walid Krichene , Li Zhang , John Anderson

Many businesses are using recommender systems for marketing outreach. Recommendation algorithms can be either based on content or driven by collaborative filtering. We study different ways to incorporate content information directly into…

Machine Learning · Statistics 2013-08-09 Jennifer Nguyen , Mu Zhu

By combining related objects, unsupervised machine learning techniques aim to reveal the underlying patterns in a data set. Non-negative Matrix Factorization (NMF) is a data mining technique that splits data matrices by imposing…

Artificial Intelligence · Computer Science 2023-08-10 Yasser Khalafaoui , Nistor Grozavu , Basarab Matei , Laurent-Walter Goix

Matrix Factorization has many applications such as clustering. When the matrix is Boolean it is favorable to have Boolean factors too. This will save the efforts of quantizing the reconstructed data back, which usually is done using…

Data Structures and Algorithms · Computer Science 2019-03-26 Abdelmoneim Amer Desouki , Michael Röder , Axel-Cyrille Ngonga Ngomo

Machine learning techniques for Recommendation System (RS) and Classification has become a prime focus of research to tackle the problem of information overload. RS are software tools that aim at making informed decisions about the services…

Information Retrieval · Computer Science 2019-07-30 Vikas Kumar

Supervised matrix factorization (SMF) is a classical machine learning method that simultaneously seeks feature extraction and classification tasks, which are not necessarily a priori aligned objectives. Our goal is to use SMF to learn…

Machine Learning · Statistics 2023-11-21 Joowon Lee , Hanbaek Lyu , Weixin Yao

Recommender systems play a central role in providing individualized access to information and services. This paper focuses on collaborative filtering, an approach that exploits the shared structure among mind-liked users and similar items.…

Machine Learning · Statistics 2016-02-10 Truyen Tran , Dinh Phung , Svetha Venkatesh

We introduce a novel Bayesian hybrid matrix factorisation model (HMF) for data integration, based on combining multiple matrix factorisation methods, that can be used for in- and out-of-matrix prediction of missing values. The model is very…

Machine Learning · Statistics 2017-04-18 Thomas Brouwer , Pietro Lió

Using nonnegative/binary matrix factorization (NBMF), a matrix can be decomposed into a nonnegative matrix and a binary matrix. Our analysis of facial images, based on NBMF and using the Fujitsu Digital Annealer, leads to successful image…

Computer Vision and Pattern Recognition · Computer Science 2020-07-03 Hinako Asaoka , Kazue Kudo

In many digital contexts such as online news and e-tailing with many new users and items, recommendation systems face several challenges: i) how to make initial recommendations to users with little or no response history (i.e., cold-start…

Information Retrieval · Computer Science 2023-02-28 Boya Xu , Yiting Deng , Carl Mela

Boolean matrix factorization is a natural and a popular technique for summarizing binary matrices. In this paper, we study a problem of Boolean matrix factorization where we additionally require that the factor matrices have consecutive…

Data Structures and Algorithms · Computer Science 2019-05-16 Nikolaj Tatti , Pauli Miettinen
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