Results 41 to 50 of about 4,876,450 (324)

Semi-tensor Product-based TensorDecomposition for Neural Network Compression

CoRR, 2021
The existing tensor networks adopt conventional matrix product for connection. The classical matrix product requires strict dimensionality consistency between factors, which can result in redundancy in data representation. In this paper, the semi-tensor product is used to generalize classical matrix product-based mode product to semi-tensor mode ...
Hengling Zhao, Yipeng Liu 0001, Xiaolin Huang, Ce Zhu   +3 more
openaire   +3 more sources

Robust Set Stability for Switched Boolean Networks Under One-Bit Function Perturbation

IEEE Access
This paper investigates robust set stability for the switched Boolean networks (SBNs) with arbitrary switching signal affected by one-bit function perturbation (OBFP).
Lei Deng, Jinsuo Wang, Fengxia Zhang
doaj   +1 more source

Study of the property (bz) using local spectral theory methods

Arab Journal of Basic and Applied Sciences, 2023
For a bounded linear operator, by local spectral theory methods, we study the property [Formula: see text] which means that the difference of the approximate point spectrum with the upper semi-Fredholm spectrum coincides with the set of all finite-range ...
Elvis Aponte, Jose Soto, Ennis Rosas
doaj   +1 more source

SEMI-TENSOR PRODUCT OF MATRICES AND ITS SOME APPLICATIONS TO PHYSICS [PDF]

Methods and Applications of Analysis, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CHENG, DAIZHAN, DONG, YALI
openaire   +3 more sources

Tensor rank is not multiplicative under the tensor product [PDF]

, 2017
The tensor rank of a tensor t is the smallest number r such that t can be decomposed as a sum of r simple tensors. Let s be a k-tensor and let t be an l-tensor. The tensor product of s and t is a (k + l)-tensor.
Zuiddam, J.; id_orcid, Jeroen Zuiddam, Christandl, Matthias, Jensen, A. K. (Asger Kjærulff), Jensen, A.K., Zuiddam, Jeroen, Matthias Christandl, Zuiddam, J. (Jeroen), Jensen, Asger Kjærulff, Asger Kjærulff Jensen, Christandl, M. (Matthias), Christandl, M.   +11 more
core   +2 more sources

Sparse General Non-Negative Matrix Factorization Based on Left Semi-Tensor Product

IEEE Access, 2019
The dimension reduction of large scale high-dimensional data is a challenging task, especially the dimension reduction of face data and the accuracy increment of face recognition in the large scale face recognition system, which may cause large storage ...
Zigang Chen, Lixiang Li, Haipeng Peng, Yuhong Liu, Haihua Zhu, Yixian Yang   +5 more
doaj   +1 more source

Low Energy Consumption Compressed Spectrum Sensing Based on Channel Energy Reconstruction in Cognitive Radio Network

Sensors, 2020
For wireless communication networks, cognitive radio (CR) can be used to obtain the available spectrum, and wideband compressed sensing plays a vital role in cognitive radio networks (CRNs).
Yuan Fang, Lixiang Li, Yixiao Li, Haipeng Peng, Yixian Yang   +4 more
doaj   +1 more source

Varying Coefficient Tensor Models for Brain Imaging [PDF]

, 2005
We revisit a multidimensional varying-coefficient model (VCM), by allowing regressor coefficients to vary smoothly in more than one dimension, thereby extending the VCM of Hastie and Tibshirani.
Marx, Brian D., Eilers, Paul H. C., Heim, Susanne   +2 more
core   +1 more source

A new method based on semi-tensor product of matrices for solving reduced biquaternion matrix equation $ \sum\limits_{p = 1}^l A_pXB_p = C $ and its application in color image restoration

Mathematical Modelling and Control, 2023
In this paper, semi-tensor product of real matrices is extended to reduced biquaternion matrices, and then some new conclusions of the reduced biquaternion matrices under the vector operator are proposed using semi-tensor product of reduced biquaternion ...
Jian-Hua Sun, Ying Li, Ming-Cui Zhang, Zhi-Hong Liu, Anli Wei   +4 more
semanticscholar   +1 more source

High‐Entropy Alloy Interlayers Toward Advanced Joining for High‐Performance Structural Applications: Current Progress and Emerging Challenges

Advanced Engineering Materials, EarlyView.
HEA interlayers offer a versatile route for joining high‐performance structural materials. Their compositional and structural design regulates interfacial reactions, suppresses brittle IMCs, and improves metallurgical bonding. Sandwich interlayers further integrate defect healing with precipitation strengthening, enabling improved strength–ductility ...
Lin Yuan, Jiafen Song, Jinglong Li, Jiangtao Xiong, Tao Yang   +4 more
wiley   +1 more source