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Nonnegative matrix factorization (NMF), a dimensionality reduction and factor analysis method, is a special case in which factor matrices have low-rank nonnegative constraints. Considering the stochastic learning in NMF, we specifically…

Numerical Analysis · Computer Science 2018-04-05 Hiroyuki Kasai

In this paper we consider the Nonnegative Matrix Factorization (NMF) problem: given an (elementwise) nonnegative matrix $V \in \R_+^{m\times n}$ find, for assigned $k$, nonnegative matrices $W\in\R_+^{m\times k}$ and $H\in\R_+^{k\times n}$…

Optimization and Control · Mathematics 2014-07-08 Lorenzo Finesso , Peter Spreij

Nonnegative matrix factorization (NMF) is a popular model in the field of pattern recognition. It aims to find a low rank approximation for nonnegative data M by a product of two nonnegative matrices W and H. In general, NMF is NP-hard to…

Machine Learning · Computer Science 2021-09-07 Junjun Pan , Michael K. Ng

This paper tackles two major problem settings for interpretability of audio processing networks, post-hoc and by-design interpretation. For post-hoc interpretation, we aim to interpret decisions of a network in terms of high-level audio…

Non-negative matrix factorization (NMF) with missing-value completion is a well-known effective Collaborative Filtering (CF) method used to provide personalized user recommendations. However, traditional CF relies on the privacy-invasive…

Machine Learning · Computer Science 2022-05-06 Maksim E. Eren , Luke E. Richards , Manish Bhattarai , Roberto Yus , Charles Nicholas , Boian S. Alexandrov

Matrix factorization (MF) is a classical collaborative filtering algorithm for recommender systems. It decomposes the user-item interaction matrix into a product of low-dimensional user representation matrix and item representation matrix.…

Information Retrieval · Computer Science 2023-08-15 Shangde Gao , Ke Liu , Yichao Fu

Nonsmooth Nonnegative Matrix Factorization (nsNMF) is capable of producing more localized, less overlapped feature representations than other variants of NMF while keeping satisfactory fit to data. However, nsNMF as well as other existing…

Computer Vision and Pattern Recognition · Computer Science 2018-03-21 Jinshi Yu , Guoxu Zhou , Andrzej Cichocki , Shengli Xie

Current AI/ML methods for data-driven engineering use models that are mostly trained offline. Such models can be expensive to build in terms of communication and computing cost, and they rely on data that is collected over extended periods…

Machine Learning · Computer Science 2021-12-16 Xiaoxuan Wang , Rolf Stadler

Non-Negative Matrix Factorization, NMF, attempts to find a number of archetypal response profiles, or parts, such that any sample profile in the dataset can be approximated by a close profile among these archetypes or a linear combination…

Applications · Statistics 2013-12-19 Paul Fogel

We present a hybrid method for latent information discovery on the data sets containing both text content and connection structure based on constrained low rank approximation. The new method jointly optimizes the Nonnegative Matrix…

Machine Learning · Computer Science 2017-03-29 Rundong Du , Barry Drake , Haesun Park

Nonnegative matrix factorization (NMF) is a standard linear dimensionality reduction technique for nonnegative data sets. In order to measure the discrepancy between the input data and the low-rank approximation, the Kullback-Leibler (KL)…

Optimization and Control · Mathematics 2021-05-12 Le Thi Khanh Hien , Nicolas Gillis

DJ mix transcription is a crucial step towards DJ mix reverse engineering, which estimates the set of parameters and audio effects applied to a set of existing tracks to produce a performative DJ mix. We introduce a new approach based on a…

Audio and Speech Processing · Electrical Eng. & Systems 2024-10-08 Étienne Paul André , Dominique Fourer , Diemo Schwarz

Online system identification is the estimation of parameters of a dynamical system, such as mass or friction coefficients, for each measurement of the input and output signals. Here, the nonlinear stochastic differential equation of a…

Machine Learning · Computer Science 2021-06-18 Wouter M Kouw

The depiction of scanpaths from mobile eye-tracking recordings by thumbnails from the stimulus allows the application of visual computing to detect areas of interest in an unsupervised way. We suggest using nonnegative matrix factorization…

Computer Vision and Pattern Recognition · Computer Science 2024-04-05 Daniel Klötzl , Tim Krake , Frank Heyen , Michael Becher , Maurice Koch , Daniel Weiskopf , Kuno Kurzhals

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

Automated machine learning (AutoML) is a research area focusing on using optimisation techniques to design machine learning (ML) algorithms, alleviating the need for a human to perform manual algorithm design. Real-time AutoML enables the…

Machine Learning · Computer Science 2025-02-28 Mia Gerber , Anna Sergeevna Bosman , Johan Pieter de Villiers

Knowledge tracing is a sequence prediction problem where the goal is to predict the outcomes of students over questions as they are interacting with a learning platform. By tracking the evolution of the knowledge of some student, one can…

Information Retrieval · Computer Science 2018-11-16 Jill-Jênn Vie , Hisashi Kashima

In this work, we apply topic modeling using Non-Negative Matrix Factorization (NMF) on the COVID-19 Open Research Dataset (CORD-19) to uncover the underlying thematic structure and its evolution within the extensive body of COVID-19…

Computation and Language · Computer Science 2025-03-25 Divya Patel , Vansh Parikh , Om Patel , Agam Shah , Bhaskar Chaudhury

In an effort to develop topic modeling methods that can be quickly applied to large data sets, we revisit the problem of maximum-likelihood estimation in topic models. It is known, at least informally, that maximum-likelihood estimation in…

Machine Learning · Statistics 2026-02-10 Peter Carbonetto , Abhishek Sarkar , Zihao Wang , Matthew Stephens

Nonnegative matrix factorization (NMF) is one of the most frequently-used matrix factorization models in data analysis. A significant reason to the popularity of NMF is its interpretability and the `parts of whole' interpretation of its…

Machine Learning · Computer Science 2018-01-19 Sanjar Karaev , James Hook , Pauli Miettinen