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Collaborative filtering models based on matrix factorization and learned similarities using Artificial Neural Networks (ANNs) have gained significant attention in recent years. This is, in part, because ANNs have demonstrated good results…

Information Retrieval · Computer Science 2021-07-29 Vito Walter Anelli , Alejandro Bellogín , Tommaso Di Noia , Claudio Pomo

Neural network pruning is a widely used strategy for reducing model storage and computing requirements. It allows to lower the complexity of the network by introducing sparsity in the weights. Because taking advantage of sparse matrices is…

Computer Vision and Pattern Recognition · Computer Science 2022-03-14 Nathan Hubens , Matei Mancas , Bernard Gosselin , Marius Preda , Titus Zaharia

The root-cause diagnostics of product quality defects in multistage manufacturing processes often requires a joint identification of crucial stages and process variables. To meet this requirement, this paper proposes a novel penalized…

Applications · Statistics 2020-06-11 Cheoljoon Jeong , Xiaolei Fang

A robust algorithm for non-negative matrix factorization (NMF) is presented in this paper with the purpose of dealing with large-scale data, where the separability assumption is satisfied. In particular, we modify the Linear Programming…

Machine Learning · Statistics 2014-01-10 Jason Gejie Liu , Shuchin Aeron

Nonnegative matrix factorization is the following problem: given a nonnegative input matrix $V$ and a factorization rank $K$, compute two nonnegative matrices, $W$ with $K$ columns and $H$ with $K$ rows, such that $WH$ approximates $V$ as…

Optimization and Control · Mathematics 2025-01-10 Valentin Leplat , Yurii Nesterov , Nicolas Gillis , François Glineur

Many Deep Learning approaches solve complicated classification and regression problems by hierarchically constructing complex features from the raw input data. Although a few works have investigated the application of deep neural networks…

Information Retrieval · Computer Science 2020-12-10 Arash Khoeini , Saman Haratizadeh , Ehsan Hoseinzade

In this paper, we propose an online algorithm to compute matrix factorizations. Proposed algorithm updates the dictionary matrix and associated coefficients using a single observation at each time. The algorithm performs low-rank updates to…

Machine Learning · Statistics 2015-06-29 Ömer Deniz Akyıldız

Boolean matrix factorisation aims to decompose a binary data matrix into an approximate Boolean product of two low rank, binary matrices: one containing meaningful patterns, the other quantifying how the observations can be expressed as a…

Machine Learning · Statistics 2017-02-28 Tammo Rukat , Chris C. Holmes , Michalis K. Titsias , Christopher Yau

Cold-start challenges in recommender systems necessitate leveraging auxiliary features beyond user-item interactions. However, the presence of irrelevant or noisy features can degrade predictive performance, whereas an excessive number of…

Information Retrieval · Computer Science 2025-08-11 Nikita Sukhorukov , Danil Gusak , Evgeny Frolov

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

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

CMF is a technique for simultaneously learning low-rank representations based on a collection of matrices with shared entities. A typical example is the joint modeling of user-item, item-property, and user-feature matrices in a recommender…

Machine Learning · Statistics 2014-11-19 Arto Klami , Guillaume Bouchard , Abhishek Tripathi

Matrix factorization is a popular method to build a recommender system. In such a system, existing users and items are associated to a low-dimension vector called a profile. The profiles of a user and of an item can be combined (via inner…

Cryptography and Security · Computer Science 2018-12-04 Fabrice Benhamouda , Marc Joye

Factors models are routinely used to analyze high-dimensional data in both single-study and multi-study settings. Bayesian inference for such models relies on Markov Chain Monte Carlo (MCMC) methods which scale poorly as the number of…

Methodology · Statistics 2025-04-29 Blake Hansen , Alejandra Avalos-Pacheco , Massimiliano Russo , Roberta De Vito

User and item features of side information are crucial for accurate recommendation. However, the large number of feature dimensions, e.g., usually larger than 10^7, results in expensive storage and computational cost. This prohibits fast…

Information Retrieval · Computer Science 2018-09-20 Han Liu , Xiangnan He , Fuli Feng , Liqiang Nie , Rui Liu , Hanwang Zhang

The purpose if this master's thesis is to study and develop a new algorithmic framework for Collaborative Filtering to produce recommendations in the top-N recommendation problem. Thus, we propose Lanczos Latent Factor Recommender (LLFR); a…

Machine Learning · Statistics 2016-06-15 Maria Kalantzi

We propose the convex factorization machine (CFM), which is a convex variant of the widely used Factorization Machines (FMs). Specifically, we employ a linear+quadratic model and regularize the linear term with the $\ell_2$-regularizer and…

In this work we introduce a comprehensive algorithmic pipeline for multiple parametric model estimation. The proposed approach analyzes the information produced by a random sampling algorithm (e.g., RANSAC) from a machine…

Computer Vision and Pattern Recognition · Computer Science 2016-11-14 Mariano Tepper , Guillermo Sapiro

We present a matrix-factorization algorithm that scales to input matrices with both huge number of rows and columns. Learned factors may be sparse or dense and/or non-negative, which makes our algorithm suitable for dictionary learning,…

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

In Recommender Systems research, algorithms are often characterized as either Collaborative Filtering (CF) or Content Based (CB). CF algorithms are trained using a dataset of user preferences while CB algorithms are typically based on item…

Information Retrieval · Computer Science 2019-09-24 Oren Barkan , Noam Koenigstein , Eylon Yogev , Ori Katz