Results 121 to 130 of about 1,588 (293)
Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA
ABSTRACT We study the high‐dimensional dynamics of online stochastic gradient descent (SGD) for the multi‐spiked tensor model. This multi‐index model arises from the tensor principal component analysis (PCA) problem with multiple spikes, where the goal is to estimate the unknown signal vectors within the N$N$‐dimensional unit sphere through maximum ...
Gérard Ben Arous +2 more
wiley +1 more source
Singularities of the Bergman kernel for certain weakly pseudoconvex domains
Consider the Bergman kernel $K^B(z)$ of the domain $\ellip = \{z \in \Comp^n ; \sum_{j=1}^n |z_j|^{2m_j}<1 \}$, where $m=(m_1,\ldots,m_n) \in \Natl^n$ and $m_n \neq 1$. Let $z^0 \in \partial \ellip$ be any weakly pseudoconvex point, $k \in \Natl$ the degenerate rank of the Levi form at $z^0$.
openaire +4 more sources
Singularities of the Szegö Kernel for Certain Weakly Pseudoconvex Domains in C2
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openaire +1 more source
Nonlinear Volterra integral equation with weakly singular kernels are considered and are solved by applying piecewise collocation methods based on multiquadric approximations combined with Gauss quadrature ...
Kansa, E. J. +2 more
core +1 more source
ABSTRACT The increasing salience of climate change has intensified attention to the roe of ESG ratings in shaping firms' green innovation. We examine the link between ESG performance and green innovation, highlighting the role of participation in global innovation networks.
Miaomiao Tao +3 more
wiley +1 more source
In this paper, a Chebyshev-collocation spectral method is developed for Volterra integral equations (VIEs) of second kind with weakly singular kernel. We first change the equation into an equivalent VIE so that the solution of the new equation possesses ...
Xiong Liu, Yanping Chen
core +1 more source
Rockburst prediction based on data preprocessing and hyperband‐RNN‐DNN
A data preprocessing workflow is proposed to address challenges in rockburst data analysis. Coupled algorithms preprocess the data set, and hyperband optimization is used to enhance RNN performance. Results show that preprocessing improves accuracy, while dense layers enhance model stability and prediction performance.
Yong Fan +4 more
wiley +1 more source
Numerical solution of a parabolic equation with a weakly singular positive-type memory term
We find a numerical solution of an initial and boundary value problem. This problem is a parabolic integro-differential equation whose integral is the convolution product of a positive-definite weakly singular kernel with the time derivative of the ...
Marian Slodicka
doaj
The flowchart illustrates rock specimen testing, vibration signal acquisition, and feature extraction with Gaborlet and sparse filtering for classification. Abstract Traditional lithology identification methods mainly rely on core sampling and well‐logging data.
Jian Hao +5 more
wiley +1 more source
ABSTRACT Objective The efficacy of psychological therapies for adolescents and adults with avoidant/restrictive food intake disorder (ARFID) has yet to be rigorously analyzed through systematic review or meta‐analysis. Method We identified articles from seven databases that presented psychological therapies for adolescents and adults with ARFID. First,
Copeland G. Winten +4 more
wiley +1 more source

