Nature

Matrix Factorization Techniques in Data Mining

Matrix factorization techniques have become pivotal in data mining, enabling the extraction of latent structures from large-scale data matrices. These methods decompose complex datasets into ...
JSTOR Daily

Positive Extensions, Fejér-Riesz Factorization and Autoregressive Filters in Two Variables

In this paper we treat the two-variable positive extension problem for trigonometric polynomials where the extension is required to be the reciprocal of the absolute value squared of a stable ...
Nature

Nonnegative Matrix Factorization and Its Applications

Nonnegative Matrix Factorization (NMF) has emerged as a powerful tool in data analysis, particularly noted for its ability to produce parts‐based, interpretable representations from high-dimensional ...
JSTOR Daily

Pure States, Positive Matrix Polynomials and Sums of Hermitian Squares

Let M be an archimedean quadratic module of real t×t matrix polynomials in n variables, and let S ⊆ ℝn be the set of all points where each element of M is positive semidefinite. Our key finding is a ...
GitHub

Joint similarity non-negative matrix factorization

There was an error while loading. Please reload this page. This project proposed a novel joint similarity non-negative matrix factorization (JSNMF) model to identify ...
IEEE

Onto Proximality in Non Negative Matrix Factorization for Recommender Systems

Abstract: Recommender Systems have become integral to most e-commerce applications and online platforms. The recommended suggestions heavily impact customer retention and business performance. One of ...
C&EN

Correction to Coupling Chemical Transport Model Source Attributions with Positive Matrix Factorization: Application to Two IMPROVE Sites Impacted by Wildfires

The ordinate label in Figure 2 should read “Mass Fraction (μg per μg of total carbon)”. Smart citations by scite.ai include citation statements extracted from the full text of the citing article. The ...
IEEE

Recommender Systems based on Non-negative Matrix Factorization: A Survey

Abstract: Recommender systems have gained significant attention for their ability to model user preferences and predict future trends. Collaborative filtering, particularly through Non-negative Matrix ...
GitHub

EDGES is a spatially constrained non-negative matrix factorization (NMF) framework designed for gene expression denoising and prediction in spatial transcriptomic (ST) data.

X: shared genes by cells matrix of ST data. Y: shared genes by cells matrix of scRNA-seq data. Z: unique genes by cells matrix of scRNA-seq data. L1: cells by cells matrix. A precomputed normalized ...
C&EN

Size-Resolved Particle Number Emission Patterns under Real-World Driving Conditions Using Positive Matrix Factorization

† Environmental Department, Pollutant Emissions from Motor Vehicles, CIEMAT, Avda. Complutense, 40, Madrid, 28040, Spain. ‡ Institute for Environmental Assessment and Water Research (IDÆA-CSIC), ...