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A novel approach to Boolean matrix factorization (BMF) is presented. Instead of solving the BMF problem directly, this approach solves a nonnegative optimization problem with the constraint over an auxiliary matrix whose Boolean structure…

数据结构与算法 · 计算机科学 2021-08-27 Duc P. Truong , Erik Skau , Derek Desantis , Boian Alexandrov

Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particularly useful in many applications, e.g., in text mining, image…

最优化与控制 · 数学 2012-08-13 Nicolas Gillis , François Glineur

The problem of finding the missing values of a matrix given a few of its entries, called matrix completion, has gathered a lot of attention in the recent years. Although the problem under the standard low rank assumption is NP-hard,…

机器学习 · 计算机科学 2014-12-01 Vassilis Kalofolias , Xavier Bresson , Michael Bronstein , Pierre Vandergheynst

Review-based recommender systems have gained noticeable ground in recent years. In addition to the rating scores, those systems are enriched with textual evaluations of items by the users. Neural language processing models, on the other…

信息检索 · 计算机科学 2018-01-11 Georgios Alexandridis , Georgios Siolas , Andreas Stafylopatis

Recently deep learning based recommendation systems have been actively explored to solve the cold-start problem using a hybrid approach. However, the majority of previous studies proposed a hybrid model where collaborative filtering and…

信息检索 · 计算机科学 2018-07-19 Jongpil Lee , Kyungyun Lee , Jiyoung Park , Jangyeon Park , Juhan Nam

The recent work by Rendle et al. (2020), based on empirical observations, argues that matrix-factorization collaborative filtering (MCF) compares favorably to neural collaborative filtering (NCF), and conjectures the dot product's…

信息检索 · 计算机科学 2021-10-26 Da Xu , Chuanwei Ruan , Evren Korpeoglu , Sushant Kumar , Kannan Achan

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…

机器学习 · 计算机科学 2016-05-04 Mariano Tepper , Guillermo Sapiro

In this paper, we introduce a novel unsupervised, graph-based filter feature selection technique which exploits the power of topologically constrained network representations. We model dependency structures among features using a family of…

机器学习 · 计算机科学 2023-07-04 Antonio Briola , Tomaso Aste

Nonnegative matrix factorization (NMF) has become a workhorse for signal and data analytics, triggered by its model parsimony and interpretability. Perhaps a bit surprisingly, the understanding to its model identifiability---the major…

信号处理 · 电气工程与系统科学 2019-03-27 Xiao Fu , Kejun Huang , Nicholas D. Sidiropoulos , Wing-Kin Ma

Probabilistic matrix factorization (PMF) is a well-known model of recommender systems. With the development of image recognition technology, some PMF recommender systems that combine images have emerged. Some of these systems use the image…

信息检索 · 计算机科学 2021-05-05 Yichi Lu , Mingtian Gao , Ryosuke Saga

Non-negative Matrix Factorization(NMF) algorithm can only be used to find low rank approximation of original non-negative data while Concept Factorization(CF) algorithm extends matrix factorization to single non-linear kernel space,…

机器学习 · 计算机科学 2024-10-29 Fei Li , Liang Du , Chaohong Ren

Non-negative matrix factorization (NMF) and non-negative tensor factorization (NTF) decompose non-negative high-dimensional data into non-negative low-rank components. NMF and NTF methods are popular for their intrinsic interpretability and…

机器学习 · 计算机科学 2024-12-02 Alexander Sietsema , Zerrin Vural , James Chapman , Yotam Yaniv , Deanna Needell

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…

信息检索 · 计算机科学 2021-12-07 Hao Wang

In this work we perform some mathematical analysis on non-negative matrix factorizations (NMF) and apply NMF to some imaging and inverse problems. We will propose a sparse low-rank approximation of big positive data and images in terms of…

最优化与控制 · 数学 2015-04-24 Yat Tin Chow , Kazufumi Ito , Jun Zou

There are many offline metrics that can be used as a reference for evaluation and optimization of the performance of recommender systems. Hybrid recommendation approaches are commonly used to improve some of those metrics by combining…

信息检索 · 计算机科学 2019-01-09 Andres Ferraro , Dmitry Bogdanov , Kyumin Choi , Xavier Serra

In recent years, neural networks and other complex models have dominated recommender systems, often setting new benchmarks for state-of-the-art performance. Yet, despite these advancements, award-winning research has demonstrated that…

信息检索 · 计算机科学 2026-04-20 Pedro R. Pires , Rafael T. Sereicikas , Gregorio F. Azevedo , Tiago A. Almeida

The model described in this paper belongs to the family of non-negative matrix factorization methods designed for data representation and dimension reduction. In addition to preserving the data positivity property, it aims also to preserve…

机器学习 · 计算机科学 2022-09-23 Rachid Hedjam , Abdelhamid Abdesselam , Abderrahmane Rahiche , Mohamed Cheriet

Over the past few years, deep learning has firmly established its prowess across various domains, including computer vision, speech recognition, and natural language processing. Motivated by its outstanding success, researchers have been…

信息检索 · 计算机科学 2023-08-15 Wen Liang , Zeng Fan , Youzhi Liang , Jianguo Jia

With the ever-increasing number of digital music and vast music track features through popular online music streaming software and apps, feature recognition using the neural network is being used for experimentation to produce a wide range…

计算与语言 · 计算机科学 2020-09-01 Sourav Das , Anup Kumar Kolya

Given a collection of data points, non-negative matrix factorization (NMF) suggests to express them as convex combinations of a small set of `archetypes' with non-negative entries. This decomposition is unique only if the true archetypes…

机器学习 · 统计学 2017-05-09 Hamid Javadi , Andrea Montanari