Results 91 to 100 of about 3,216 (210)

Stochastic Gradient Descent in High Dimensions for Multi‐Spiked Tensor PCA

Communications on Pure and Applied Mathematics, Volume 79, Issue 10, Page 2291-2369, October 2026.
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, Cédric Gerbelot, Vanessa Piccolo   +2 more
wiley   +1 more source

On the Dynamics of Abstract Retarded Evolution Equations

Abstract and Applied Analysis, 2013
This paper is concerned with the dynamics of the following abstract retarded evolution equation: in a Hilbert space , where is a self-adjoint positive-definite operator with compact resolvent and is a locally Lipschitz continuous mapping.
Desheng Li, Jinying Wei, Jintao Wang
doaj   +1 more source

Equivalence of A-approximate continuity for self-adjoint expansive linear maps

Linear Algebra and its Applications, 2008
Given the fact that for an expansive linear map \(A:\mathbb{R}^d \to \mathbb{R}^d\) \((d \geq 1)\) the \(A\)-approximate continuity at a point \(x\) depends on \(A\), in this paper those self-adjoint expansive linear maps \(A_1,A_2 :\mathbb{R}^d \to \mathbb{R}^d \) are characterized for which the respective concepts of \(A_i\)-approximate continuity (\(
Révész, Sz.Gy., San Antolı´n, A.
openaire   +1 more source

BART Streams: Real‐Time Reconstruction Using a Modular Framework for Pipeline Processing

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1534-1544, October 2026.
ABSTRACT Purpose To create modular solutions for interactive real‐time MRI using reconstruction algorithms implemented in BART. Methods A new protocol for streaming of multidimensional arrays is presented and integrated into BART. The new functionality is demonstrated using examples for cardiac interactive real‐time MRI based on radial FLASH, where ...
Philip Schaten, Moritz Blumenthal, Bernhard Rapp, Christina Unterberg‐Buchwald, Martin Uecker   +4 more
wiley   +1 more source

Localization sequences for logarithmic topological cyclic homology

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We introduce the notion of an Ek$\mathbb {E}_k$‐ring with prelogarithmic structure, define logarithmic topological Hochschild homology and logarithmic topological cyclic homology in this context, and establish localization sequences for these theories. Our approach is based on Thom R$R$‐algebras.
John Rognes, Steffen Sagave, Christian Schlichtkrull   +2 more
wiley   +1 more source

Higher representation stability for ordered configuration spaces

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract Using factorization homology with coefficients in twisted commutative algebras (TCAs), we prove two flavors of higher representation stability for the cohomology of (generalized) configuration spaces of a scheme/topological space X$X$. First, we provide an iterative procedure to study higher representation stability using actions coming from ...
Quoc P. Ho
wiley   +1 more source

Thermo‐Mechanical Topology Optimization: An Immersed FEM Level‐Set‐Based Approach

International Journal for Numerical Methods in Engineering, Volume 127, Issue 15, 15 August 2026.
ABSTRACT This paper proposes a multi‐physics framework for topology optimization using an immersed level set‐finite element model. The work extends the capabilities of a recently developed immersed level‐set method to thermo‐mechanical problems, including coupling and material‐dependent properties.
Farzad Tatar, Silvia Monchetti, Elisabetta Manconi, Roberto Brighenti   +3 more
wiley   +1 more source

Exploring the use of adjoint noise tomography to refine a shear-wave velocity model beneath the Iranian Plateau

Seismica
We apply adjoint waveform tomography using Rayleigh wave Empirical Green's Functions (EGFs) at 10-50 sec. periods to improve a prior 3D velocity model of the crust and uppermost mantle beneath the Iranian Plateau.
Abolfazl Komeazi, Ayoub Kaviani, Farzam Yaminifard, Mohammad Tatar, Georg Rümpker   +4 more
doaj   +1 more source

End‐to‐End Deep Learning Framework for Freeform Metasurfaces via Non‐Uniform Rational B‐Splines Meta‐Atoms

Nanophotonics, Volume 15, Issue 15, 13 August 2026.
This work presents a NURBS‐enabled metasurface design framework that combines freeform meta‐atom parameterization with Transformer‐based deep learning. The unified mathematical representation expands geometric degrees of freedom while enabling efficient optical‐response prediction and inverse design.
Kaipeng Liu, Junliang Jia, Kun Li, Yuanjian Wan, Runlin Zhou, Xuyang Chen, Chao Wang, Zhixiang Huang, Jiaxin Li, Gang Gao, Pei Zhang, Longqiu Li   +11 more
wiley   +1 more source

Advances in Adjoint Functions of Connection Number in Water Resources Complex Systems: A Systematic Review

Entropy
The adjoint function of connection number has unique advantages in solving uncertainty problems of water resource complex systems, and has become an important frontier and research hotspot in the uncertainty research of water resource complex problems ...
Liangguang Zhou, Juliang Jin, Rongxing Zhou, Yi Cui, Chengguo Wu, Yuliang Zhou, Shibao Dai, Yuliang Zhang   +7 more
doaj   +1 more source