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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…

机器学习 · 计算机科学 2024-10-30 Youdong Guo , Timothy E. Holy

Matrix factorization is an inference problem that has acquired importance due to its vast range of applications that go from dictionary learning to recommendation systems and machine learning with deep networks. The study of its fundamental…

无序系统与神经网络 · 物理学 2023-08-01 Francesco Camilli , Marc Mézard

Matrices are exceptionally useful in various fields of study as they provide a convenient framework to organize and manipulate data in a structured manner. However, modern matrices can involve billions of elements, making their storage and…

机器学习 · 计算机科学 2023-10-18 Rajarshi Saha , Varun Srivastava , Mert Pilanci

We develop a Bayesian Poisson matrix factorization model for forming recommendations from sparse user behavior data. These data are large user/item matrices where each user has provided feedback on only a small subset of items, either…

信息检索 · 计算机科学 2014-05-21 Prem Gopalan , Jake M. Hofman , David M. Blei

We propose a general technique for improving alternating optimization (AO) of nonconvex functions. Starting from the solution given by AO, we conduct another sequence of searches over subspaces that are both meaningful to the optimization…

统计计算 · 统计学 2014-12-16 W. James Murdoch , Mu Zhu

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…

机器学习 · 统计学 2014-01-10 Jason Gejie Liu , Shuchin Aeron

We study fairness in collaborative-filtering recommender systems, which are sensitive to discrimination that exists in historical data. Biased data can lead collaborative-filtering methods to make unfair predictions for users from minority…

信息检索 · 计算机科学 2017-12-04 Sirui Yao , Bert Huang

Matrix factorization (MF), a cornerstone of recommender systems, decomposes user-item interaction matrices into latent representations. Traditional MF approaches, however, employ a two-stage, non-end-to-end paradigm, sequentially performing…

信息检索 · 计算机科学 2025-04-22 Shangde Gao , Ke Liu , Yichao Fu , Hongxia Xu , Jian Wu

In this paper the problem of forecasting high dimensional time series is considered. Such time series can be modeled as matrices where each column denotes a measurement. In addition, when missing values are present, low rank matrix…

机器学习 · 计算机科学 2017-12-27 San Gultekin , John Paisley

Non-negative matrix factorization (NMF) has become a popular machine learning approach to many problems in text mining, speech and image processing, bio-informatics and seismic data analysis to name a few. In NMF, a matrix of non-negative…

数值分析 · 计算机科学 2013-03-19 Hugo Van hamme

In this work, we introduce a highly efficient algorithm to address the nonnegative matrix underapproximation (NMU) problem, i.e., nonnegative matrix factorization (NMF) with an additional underapproximation constraint. NMU results are…

计算机视觉与模式识别 · 计算机科学 2017-04-11 Mariano Tepper , Guillermo Sapiro

Predicting the novel effects of drugs based on information about approved drugs can be regarded as a recommendation system. Matrix factorization is one of the most used recommendation systems and various algorithms have been devised for it.…

定量方法 · 定量生物学 2023-01-16 Iori Azuma , Tadahaya Mizuno , Hiroyuki Kusuhara

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

Nonnegative Matrix Factorization (NMF) is a widely used technique in many applications such as face recognition, motion segmentation, etc. It approximates the nonnegative data in an original high dimensional space with a linear…

机器学习 · 计算机科学 2012-04-12 Bin Shen , Luo Si , Rongrong Ji , Baodi Liu

Many tasks in data mining and related fields can be formalized as matching between objects in two heterogeneous domains, including collaborative filtering, link prediction, image tagging, and web search. Machine learning techniques,…

机器学习 · 计算机科学 2014-10-24 Jingbo Shang , Tianqi Chen , Hang Li , Zhengdong Lu , Yong Yu

Based on the success of recommender systems in e-commerce, there is growing interest in their use in matching markets (e.g., labor). While this holds potential for improving market fluidity and fairness, we show in this paper that naively…

信息检索 · 计算机科学 2021-06-04 Yi Su , Magd Bayoumi , Thorsten Joachims

Recommendation from implicit feedback is a highly challenging task due to the lack of the reliable observed negative data. A popular and effective approach for implicit recommendation is to treat unobserved data as negative but downweight…

信息检索 · 计算机科学 2020-03-05 Jiawei Chen , Can Wang , Sheng Zhou , Qihao Shi , Jingbang Chen , Yan Feng , Chun Chen

We study online algorithms with predictions using distributional advice, a type of prediction that arises when leveraging expert knowledge or historical data. To demonstrate the usefulness and versatility of this framework, we focus on the…

数据结构与算法 · 计算机科学 2025-09-09 Clément L. Canonne , Kenny Chen , Julián Mestre

We present new results on Boolean matrix factorization and a new algorithm based on these results. The results emphasize the significance of factorizations that provide from-below approximations of the input matrix. While the previously…

数值分析 · 计算机科学 2015-06-26 Radim Belohlavek , Martin Trnecka

A standard approach to Collaborative Filtering (CF), i.e. prediction of user ratings on items, relies on Matrix Factorization techniques. Representations for both users and items are computed from the observed ratings and used for…

信息检索 · 计算机科学 2015-06-23 Gabriella Contardo , Ludovic Denoyer , Thierry Artieres