Results 111 to 120 of about 1,698,574 (297)

Introduction to Nonnegative Matrix Factorization

CoRR, 2017
18 pages, 4 ...
openaire   +3 more sources

Almost Periodicity on Isolated Time Scales and Applications

Mathematische Nachrichten, EarlyView.
ABSTRACT In this work, we formulate a generalized definition of almost periodicity for functions defined on isolated time scales. The introduced definition is consistent with the known formulations in the discrete and quantum calculus settings. We state two different definitions of almost periodicity and we show their relation.
Martin Bohner, Jaqueline G. Mesquita, Ronaldo Murakami   +2 more
wiley   +1 more source

Nonconstant Positive Steady States for a Predator–Prey System With Signal‐Dependent Diffusion

Mathematische Nachrichten, EarlyView.
ABSTRACT This paper investigates a highly nonlinear predator–prey reaction–diffusion system featuring signal‐dependent prey diffusion, where the motility of the prey is modulated by a chemical signal released by predators. For unbounded functional responses, we establish the global‐in‐time existence and uniform‐in‐time boundedness of classical ...
Qigang Deng, Hao Shen, Ranchao Wu, Hao Wang   +3 more
wiley   +1 more source

Multi-constraint non-negative matrix factorization for community detection: orthogonal regular sparse constraint non-negative matrix factorization

Complex & Intelligent Systems
Community detection is an important method to analyze the characteristics and structure of community networks, which can excavate the potential links between nodes and further discover subgroups from complex networks.
Zigang Chen, Qi Xiao, Tao Leng, Zhenjiang Zhang, Ding Pan, Yuhong Liu, Xiaoyong Li   +6 more
doaj   +1 more source

Joint Linear Regression and Nonnegative Matrix Factorization Based on Self-Organized Graph for Image Clustering and Classification

IEEE Access, 2018
Nonnegative matrix factorization (NMF) technique has been developed successfully to represent the intuitively meaningful feature of data. A suitable representation can faithfully preserve the intrinsic structure of data.
Wenjie Zhu, Yunhui Yan
doaj   +1 more source

On Symmetries of Hyperbolic Lattices of Large Rank

Mathematische Nachrichten, EarlyView.
ABSTRACT For an even, integral hyperbolic lattice L$L$, the symmetry group of L$L$ is the quotient of the group of positive isometries of L$L$ by the Weyl subgroup of (−2)$(-2)$‐reflections. Following Nikulin, the exceptional lattice of L$L$ is defined as the sublattice generated by elements that have finite orbit under the symmetry group of L$L$.
Torben Grabbel, Gebhard Martin, Giacomo Mezzedimi, Maia Raitz von Frentz, Paul Jakob Schmidt   +4 more
wiley   +1 more source

Updating a map of sufficient conditions for the real nonnegative inverse eigenvalue problem

Special Matrices, 2019
The real nonnegative inverse eigenvalue problem (RNIEP) asks for necessary and sufficient conditions in order that a list of real numbers be the spectrum of a nonnegative real matrix.
Marijuán C., Pisonero M., Soto Ricardo L.   +2 more
doaj   +1 more source

Advances in Nonnegative Matrix Decomposition with Application to Cluster Analysis [PDF]

, 2011
Nonnegative Matrix Factorization (NMF) has found a wide variety of applications in machine learning and data mining. NMF seeks to approximate a nonnegative data matrix by a product of several low-rank factorizing matrices, some of which are constrained ...
Zhang, He, Erkki Oja, He Zhang, Zhirong Yang, Zhijian Yuan   +4 more
core   +1 more source

Novel Ensemble Prediction Framework for Fast and Accurate Phase Prediction in FeNiCoCrAlCu High‐Entropy Alloys by Integrating Data Augmentation and Interpretable Methods

Materials Genome Engineering Advances, EarlyView.
A physics‐informed machine learning framework is established for phase prediction in FeNiCoCrAlCu HEA. Limited experimental data are expanded through GMM‐based augmentation, followed by descriptor calculation, Pearson‐PCA feature optimization, stacking ensemble classification, and SHAP interpretation, enabling accurate phase identification and ...
Ruixiao Zhang, Biao Chen, Ruihao Yuan, Yi Williams Wang, Jun Wang, Jinshan Li   +5 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

Mathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay, Mtema James Chin, Nazim I. Mahmudov   +2 more
wiley   +1 more source