Results 91 to 100 of about 341,424 (240)

Dynamical System Stability Criteria Based on the Frobenius Norm

AppliedMath
It is well known that the position of the Jacobian matrix spectrum in the left-half complex plane provides the local asymptotic stability of a nonlinear dynamical system, but it is also well known that for large matrices, computing its eigenvalues just ...
Dragana Cvetković, Ernest Šanca
doaj   +1 more source

Generating Compressed Counterfactual Hard Negative Samples for Graph Contrastive Learning

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Graph contrastive learning (GCL) relies on acquiring high‐quality positive and negative samples to learn the structural semantics of the input graph. Previous approaches typically sampled negative samples from the same training batch or an irrelevant external graph.
Haoran Yang, Hongxu Chen, Xiangyu Zhao, Sixiao Zhang, Xiangguo Sun, Qian Li, Hongzhi Yin, Guandong Xu   +7 more
wiley   +1 more source

The core inverse and constrained matrix approximation problem

Open Mathematics, 2020
In this article, we study the constrained matrix approximation problem in the Frobenius norm by using the core inverse:||Mx−b||F=minsubjecttox∈ℛ(M),||Mx-b|{|}_{F}=\hspace{.25em}\min \hspace{1em}\text{subject}\hspace{.25em}\text{to}\hspace{1em}x\in ...
Wang Hongxing, Zhang Xiaoyan
doaj   +1 more source

LLM‐Powered Data Synthesis on Blockchain for Fusion Isomerism Learning in Heterogeneous Federated Systems

CAAI Transactions on Intelligence Technology, EarlyView.
ABSTRACT Severe data starvation, architectural heterogeneity and Byzantine vulnerabilities fundamentally impede the deployment of robust multiclass classification models in decentralised edge environments. To address these intertwined challenges, we propose fusion isomerism learning (FusionIL), a secure and domain‐agnostic framework that ...
Zhihao Hao, Longbing Cao, Han Yu, Xiaoqiang Teng, Guancheng Wang, Chuanbin Zhang   +5 more
wiley   +1 more source

A sparse quasi newton update derived variationally with a nondiagonally weighted frobenius norm [PDF]

, 1981
The problem of symmetric sparse updating is considered from a variational point of view and a new class of sparse symmetric quasi Newton updating formulae is derived. This class results from the use of a nondiagonally weighted Frobenius norm.
Ph. L. Toint, Toint, Ph L.; id_orcid
core   +1 more source

Time‐dependent sensitivity of R0$$ {\boldsymbol{R}}_{\mathbf{0}} $$ and other threshold parameters in seasonal ecological and epidemiological dynamics

Methods in Ecology and Evolution, EarlyView.
Abstract Periodically driven systems are ubiquitous in nature, and their stability against perturbations such as the introduction of a novel pathogens or invasive species is often a major concern. To better understand and control these systems, it is common to assess the sensitivity to changes in the model parameters of stability threshold quantities ...
Wee Hao Ng, Christopher R. Myers, Scott H. McArt, Stephen P. Ellner   +3 more
wiley   +1 more source

Frobenius deep feature fusion architecture to detect diabetic retinopathy

Discover Applied Sciences
Purpose Diabetic retinopathy is a medical complication affecting the retina of patients prone to prolonged periods of Diabetes mellitus. Early detection and diagnosis are essential since the symptoms are subtle at the early stages.
C. Priyadharsini, Y. Asnath Victy Phamila   +1 more
doaj   +1 more source

Global Stability Analysis of Neural Networks with Constant Time Delay via Frobenius Norm

, 2020
This paper deals with the global asymptotic robust stability (GARS) of neural networks (NNs) with constant time delay via Frobenius norm. The Frobenius norm result has been utilized to find a new sufficient condition for the existence, uniqueness, and ...
U Humphries (13474057), G Rajchakit (13394391), B Unyong (13447587), P Muruganantham (13475449), Chee Peng Lim (13063809), N Gunasekaran (13464642), P Kaewmesri (13474060), NM Thoiyab (14452899)   +7 more
core  

Asymptotic independence of point process and Frobenius norm of a large sample covariance matrix

, 2023
A joint limit theorem for the point process of the off-diagonal entries of a sample covariance matrix $\mathbf{S}$, constructed from $n$ observations of a $p$-dimensional random vector with iid components, and the Frobenius norm of $\mathbf{S}$ is proved.
Heiny, Johannes, Kleemann, Carolin
core  

Regularized reduced rank regression for mixed predictor and response variables

British Journal of Mathematical and Statistical Psychology, EarlyView.
Abstract In this paper, we introduce the Generalized Mixed Regularized Reduced Rank Regression model (GMR4), an extension of the GMR3 model designed to improve performance in high‐dimensional settings. GMR3 is a regression method for a mix of numeric, binary and ordinal response variables, while also allowing for mixed‐type predictors through optimal ...
Lorenza Cotugno, Mark de Rooij, Roberta Siciliano   +2 more
wiley   +1 more source