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Non-negative Matrix Factorization (NMF) is a useful method to extract features from multivariate data, but an important and sometimes neglected concern is that NMF can result in non-unique solutions. Often, there exist a Set of Feasible…

应用统计 · 统计学 2021-01-20 Ragnhild Laursen , Asger Hobolth

This paper describes a new approach, based on linear programming, for computing nonnegative matrix factorizations (NMFs). The key idea is a data-driven model for the factorization where the most salient features in the data are used to…

最优化与控制 · 数学 2013-02-05 Victor Bittorf , Benjamin Recht , Christopher Re , Joel A. Tropp

The performance of sparse matrix computation highly depends on the matching of the matrix format with the underlying structure of the data being computed on. Different sparse matrix formats are suitable for different structures of data.…

数值分析 · 数学 2023-09-07 Khaled Abdelaal , Richard Veras

Nearest neighbor (NN) search is inherently computationally expensive in high-dimensional spaces due to the curse of dimensionality. As a well-known solution, locality-sensitive hashing (LSH) is able to answer c-approximate NN (c-ANN)…

数据库 · 计算机科学 2021-07-13 Bolong Zheng , Xi Zhao , Lianggui Weng , Nguyen Quoc Viet Hung , Hang Liu , Christian S. Jensen

Radio frequency (RF) signal-based localization using modern cellular networks has emerged as a promising solution to accurately locate objects in challenging environments. One of the most promising solutions for situations involving…

信号处理 · 电气工程与系统科学 2026-04-17 Junshi Chen , Xuhong Li , Russ Whiton , Erik Leitinger , Fredrik Tufvesson

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,…

机器学习 · 统计学 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gael Varoquaux

Locality sensitive hashing (LSH) is a fundamental algorithmic toolkit used by data scientists for approximate nearest neighbour search problems that have been used extensively in many large scale data processing applications such as near…

机器学习 · 统计学 2025-03-04 Bhisham Dev Verma , Rameshwar Pratap

We study the problem of large-scale network embedding, which aims to learn latent representations for network mining applications. Previous research shows that 1) popular network embedding benchmarks, such as DeepWalk, are in essence…

社会与信息网络 · 计算机科学 2019-06-27 Jiezhong Qiu , Yuxiao Dong , Hao Ma , Jian Li , Chi Wang , Kuansan Wang , Jie Tang

Deep matrix factorizations (deep MFs) are recent unsupervised data mining techniques inspired by constrained low-rank approximations. They aim to extract complex hierarchies of features within high-dimensional datasets. Most of the loss…

机器学习 · 计算机科学 2023-01-26 Pierre De Handschutter , Nicolas Gillis

Federated learning (FL) scenarios inherently generate a large communication overhead by frequently transmitting neural network updates between clients and server. To minimize the communication cost, introducing sparsity in conjunction with…

Motivated by the reconstruction and the prediction of electricity consumption, we extend Nonnegative Matrix Factorization~(NMF) to take into account side information (column or row features). We consider general linear measurement settings,…

机器学习 · 统计学 2017-09-20 Jiali Mei , Yohann De Castro , Yannig Goude , Jean-Marc Azaïs , Georges Hébrail

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

Constrained low-rank matrix approximations have been known for decades as powerful linear dimensionality reduction techniques to be able to extract the information contained in large data sets in a relevant way. However, such low-rank…

机器学习 · 计算机科学 2021-12-20 Pierre De Handschutter , Nicolas Gillis , Xavier Siebert

Constrained tensor and matrix factorization models allow to extract interpretable patterns from multiway data. Therefore identifiability properties and efficient algorithms for constrained low-rank approximations are nowadays important…

机器学习 · 计算机科学 2022-01-24 Jeremy E. Cohen

Nonnegative matrix factorization (NMF) with group sparsity constraints is formulated as a probabilistic graphical model and, assuming some observed data have been generated by the model, a feasible variational Bayesian algorithm is derived…

计算机视觉与模式识别 · 计算机科学 2014-05-28 Ivan Ivek

This paper focuses on detection tasks in information extraction, where positive instances are sparsely distributed and models are usually evaluated using F-measure on positive classes. These characteristics often result in deficient…

计算与语言 · 计算机科学 2018-05-29 Hongyu Lin , Yaojie Lu , Xianpei Han , Le Sun

All-pairs set similarity is a widely used data mining task, even for large and high-dimensional datasets. Traditionally, similarity search has focused on discovering very similar pairs, for which a variety of efficient algorithms are known.…

数据结构与算法 · 计算机科学 2020-03-09 Cyrus Rashtchian , Aneesh Sharma , David P. Woodruff

Edge devices can benefit remarkably from federated learning due to their distributed nature; however, their limited resource and computing power poses limitations in deployment. A possible solution to this problem is to utilize…

机器学习 · 计算机科学 2023-10-26 Sara Babakniya , Souvik Kundu , Saurav Prakash , Yue Niu , Salman Avestimehr

Hyperspectral unmixing (HU) is a critical yet challenging task in remote sensing. However, existing nonnegative matrix factorization (NMF) methods with graph learning mostly focus on first-order or second-order nearest neighbor…

计算机视觉与模式识别 · 计算机科学 2025-09-26 Hui Chen , Liangyu Liu , Xianchao Xiu , Wanquan Liu

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