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Nonnegative Matrix Factorization (NMF) aims to factorize a matrix into two optimized nonnegative matrices and has been widely used for unsupervised learning tasks such as product recommendation based on a rating matrix. However, although…

Social and Information Networks · Computer Science 2015-04-03 Junyu Xuan , Jie Lu , Xiangfeng Luo , Guangquan Zhang

Nonnegative matrix factorization (NMF) is a linear dimensionality technique for nonnegative data with applications such as image analysis, text mining, audio source separation and hyperspectral unmixing. Given a data matrix $M$ and a…

Machine Learning · Computer Science 2021-04-14 Junjun Pan , Nicolas Gillis

In myriad statistical applications, data are collected from related but heterogeneous sources. These sources share some commonalities while containing idiosyncratic characteristics. One of the most fundamental challenges in such scenarios…

Methodology · Statistics 2024-03-29 Naichen Shi , Raed Al Kontar , Salar Fattahi

Combined inference for heterogeneous high-dimensional data is critical in modern biology, where clinical and various kinds of molecular data may be available from a single study. Classical genetic association studies regress a single…

Applications · Statistics 2017-03-22 Hélène Ruffieux , Anthony C. Davison , Jörg Hager , Irina Irincheeva

Morphology and structure of galaxies reflect their star formation and assembly histories. We use the framework of mutual information ($\mathrm{MI}$) to quantify interdependence among several structural variables and to rank them according…

Astrophysics of Galaxies · Physics 2022-01-05 Hassen M. Yesuf , Luis C. Ho , S. M. Faber

Estimating the sharing of genetic effects across different conditions is important to many statistical analyses of genomic data. The patterns of sharing arising from these data are often highly heterogeneous. To flexibly model these…

Methodology · Statistics 2024-06-14 Yunqi Yang , Peter Carbonetto , David Gerard , Matthew Stephens

Sparse representation is a viable solution to visual tracking. In this paper, we propose a structured multi-task multi-view tracking (SMTMVT) method, which exploits the sparse appearance model in the particle filter framework to track…

Computer Vision and Pattern Recognition · Computer Science 2018-06-07 Mohammadreza Javanmardi , Xiaojun Qi

Magnetic Resonance Fingerprinting (MRF) enables the simultaneous quantification of multiple properties of biological tissues. It relies on a pseudo-random acquisition and the matching of acquired signal evolutions to a precomputed…

Gene expression and phenotype association can be affected by potential unmeasured confounders from multiple sources, leading to biased estimates of the associations. Since genetic variants largely explain gene expression variations, they…

Methodology · Statistics 2019-10-23 Jiarui Lu , Hongzhe Li

We introduce the probabilistic sequential matrix factorization (PSMF) method for factorizing time-varying and non-stationary datasets consisting of high-dimensional time-series. In particular, we consider nonlinear Gaussian state-space…

Machine Learning · Statistics 2021-03-19 Ömer Deniz Akyildiz , Gerrit J. J. van den Burg , Theodoros Damoulas , Mark F. J. Steel

Matrix factorization, one of the most popular methods in machine learning, has recently benefited from introducing non-linearity in prediction tasks using tropical semiring. The non-linearity enables a better fit to extreme values and…

Machine Learning · Computer Science 2022-05-16 Amra Omanović , Polona Oblak , Tomaž Curk

The Nonnegative Matrix Factorization (NMF) of the rating matrix has shown to be an effective method to tackle the recommendation problem. In this paper we propose new methods based on the NMF of the rating matrix and we compare them with…

Machine Learning · Computer Science 2019-08-30 Gianna M. Del Corso , Francesco Romani

Heterogeneous Face Recognition (HFR) refers to matching cross-domain faces and plays a crucial role in public security. Nevertheless, HFR is confronted with challenges from large domain discrepancy and insufficient heterogeneous data. In…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Chaoyou Fu , Xiang Wu , Yibo Hu , Huaibo Huang , Ran He

The presence of MGMT promoter methylation significantly affects how well chemotherapy works for patients with Glioblastoma Multiforme (GBM). Currently, confirmation of MGMT promoter methylation relies on invasive brain tumor tissue…

Computer Vision and Pattern Recognition · Computer Science 2025-12-17 Rawan Alyahya , Asrar Alruwayqi , Atheer Alqarni , Asma Alkhaldi , Metab Alkubeyyer , Xin Gao , Mona Alshahrani

Active and passive thermography are two efficient techniques extensively used to measure heterogeneous thermal patterns leading to subsurface defects for diagnostic evaluations. This study conducts a comparative analysis on low-rank matrix…

Image and Video Processing · Electrical Eng. & Systems 2020-10-15 Bardia Yousefi , Clemente Ibarra Castanedo , Xavier P. V. Maldague

In many longitudinal microarray studies, the gene expression levels in a random sample are observed repeatedly over time under two or more conditions. The resulting time courses are generally very short, high-dimensional, and may have…

Applications · Statistics 2013-02-26 Maurice Berk , Cheryl Hemingway , Michael Levin , Giovanni Montana

In recent years, machine learning (ML) algorithms have been deployed in safety-critical and high-stake decision-making, where the fairness of algorithms is of paramount importance. Fairness in ML centers on detecting bias towards certain…

Machine Learning · Computer Science 2022-06-02 Bishwamittra Ghosh , Debabrota Basu , Kuldeep S. Meel

Biometric systems suffer from some drawbacks: a biometric system can provide in general good performances except with some individuals as its performance depends highly on the quality of the capture. One solution to solve some of these…

Neural and Evolutionary Computing · Computer Science 2012-05-16 Romain Giot , Christophe Rosenberger

Recently, deep matrix factorization has been established as a powerful model for unsupervised tasks, achieving promising results, especially for multi-view clustering. However, existing methods often lack effective feature selection…

Machine Learning · Statistics 2024-12-04 Yasser Khalafaoui , Basarab Matei , Martino Lovisetto , Nistor Grozavu

Simplex-structured matrix factorization (SSMF) is a common task encountered in signal processing and machine learning. Minimum-volume constrained unmixing (MVCU) algorithms are among the most widely used methods to perform this task. While…

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