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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

Non-negative matrix factorization (NMF) is widely used in many applications for dimensionality reduction. Inferring an appropriate number of factors for NMF is a challenging problem, and several approaches based on information criteria or…

Methodology · Statistics 2025-02-18 Alessandro Zito , Jeffrey W. Miller

Symmetric nonnegative matrix factorization (symNMF) is a variant of nonnegative matrix factorization (NMF) that allows to handle symmetric input matrices and has been shown to be particularly well suited for clustering tasks. In this paper,…

Numerical Analysis · Mathematics 2020-03-11 François Moutier , Arnaud Vandaele , Nicolas Gillis

An algorithm is described and tested that carries out a non negative matrix factorization (NMF) ignoring any stretching of the signal along the axis of the independent variable. This extended NMF model is called StretchedNMF. Variability in…

We present the development of a new algorithm which combines state-of-the-art energy-dispersive X-ray (EDX) spectroscopy theory and a suitable machine learning formulation for the hyperspectral unmixing of scanning transmission electron…

Brain tumor classification from magnetic resonance imaging, which is also known as MRI, plays a sensitive role in computer-assisted diagnosis systems. In recent years, deep learning models have achieved high classification accuracy.…

Computer Vision and Pattern Recognition · Computer Science 2026-04-21 Hiba Adil Al-kharsan , Róbert Rajkó

Hyperspectral Unmixing (HU) has received increasing attention in the past decades due to its ability of unveiling information latent in hyperspectral data. Unfortunately, most existing methods fail to take advantage of the spatial…

Computer Vision and Pattern Recognition · Computer Science 2014-07-14 Feiyun Zhu , Ying Wang , Shiming Xiang , Bin Fan , Chunhong Pan

The mid-infrared (MIR) spectra observed with the \textit{Spitzer} Infrared Spectrograph (IRS) provide a valuable dataset for untangling the physical processes and conditions within galaxies. This paper presents the first attempt to blindly…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-17 P. D. Hurley , S. Oliver , D. Farrah , V. Lebouteiller , H. W. W. Spoon

The brain uses positive signals as a means of signaling. Forward interactions in the early visual cortex are also positive, realized by excitatory synapses. Only local interactions also include inhibition. Non-negative matrix factorization…

Machine Learning · Computer Science 2025-03-27 Mahbod Nouri , David Rotermund , Alberto Garcia-Ortiz , Klaus R. Pawelzik

Among numerous blind source separation (BSS) methods, convolutive transfer function-based multichannel non-negative matrix factorization (CTF-MNMF) has demonstrated strong performance in highly reverberant environments by modeling…

Sound · Computer Science 2025-10-06 Xuemai Xie , Xianrui Wang , Liyuan Zhang , Yichen Yang , Shoji Makino

Spectroscopic anomaly detection and isotope identification algorithms are integral components in nuclear nonproliferation applications such as search operations. The task is especially challenging in the case of mobile detector systems due…

Non-negative Matrix Factorization (NMF) asks to decompose a (entry-wise) non-negative matrix into the product of two smaller-sized nonnegative matrices, which has been shown intractable in general. In order to overcome this issue, the…

Data Structures and Algorithms · Computer Science 2019-07-15 Zhihuai Chen , Yinan Li , Xiaoming Sun , Pei Yuan , Jialin Zhang

Discriminative models for source separation have recently been shown to produce impressive results. However, when operating on sources outside of the training set, these models can not perform as well and are cumbersome to update. Classical…

Sound · Computer Science 2019-11-04 Shrikant Venkataramani , Efthymios Tzinis , Paris Smaragdis

Many predictive tasks of web applications need to model categorical variables, such as user IDs and demographics like genders and occupations. To apply standard machine learning techniques, these categorical predictors are always converted…

Machine Learning · Computer Science 2017-08-18 Xiangnan He , Tat-Seng Chua

The idea of adversarial learning of regularization functionals has recently been introduced in the wider context of inverse problems. The intuition behind this method is the realization that it is not only necessary to learn the basic…

Numerical Analysis · Mathematics 2024-04-25 Martin Ludvigsen , Markus Grasmair

The nonnegative matrix factorization (NMF) is widely used in signal and image processing, including bio-informatics, blind source separation and hyperspectral image analysis in remote sensing. A great challenge arises when dealing with a…

Computer Vision and Pattern Recognition · Computer Science 2016-03-29 Fei Zhu , Paul Honeine , Maya Kallas

Although many techniques have been applied to matrix factorization (MF), they may not fully exploit the feature structure. In this paper, we incorporate the grouping effect into MF and propose a novel method called Robust Matrix…

Machine Learning · Computer Science 2021-07-09 Haiyan Jiang , Shuyu Li , Luwei Zhang , Haoyi Xiong , Dejing Dou

We propose an efficient distributed out-of-memory implementation of the Non-negative Matrix Factorization (NMF) algorithm for heterogeneous high-performance-computing (HPC) systems. The proposed implementation is based on prior work on…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-14 Ismael Boureima , Manish Bhattarai , Maksim Eren , Erik Skau , Philip Romero , Stephan Eidenbenz , Boian Alexandrov

Nuclear Magnetic Resonance (NMR) spectroscopy is an efficient technique to analyze chemical mixtures in which one acquires spectra of the chemical mixtures along one ore more dimensions. One of the important issues is to efficiently analyze…

Medical Physics · Physics 2020-11-03 Afef Cherni , Sandrine Anthoine , Caroline Chaux

Nonnegative Matrix Factorization(NMF) is a common used technique in machine learning to extract features out of data such as text documents and images thanks to its natural clustering properties. In particular, it is popular in image…

Computer Vision and Pattern Recognition · Computer Science 2016-08-05 Giovanni Barbarino