Results 101 to 110 of about 568,612 (221)

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 kernel of the Stieltjes derivative and the space of bounded Stieltjes-differentiable functions

Electronic Journal of Qualitative Theory of Differential Equations
We investigate the existence and uniqueness of solutions to first-order Stieltjes differential problems, focusing on the role of the Stieltjes derivative and its kernel.
Francisco Fernández, Ignacio Márquez Albés, F. Adrián Tojo, Carlos Villanueva Mariz   +3 more
doaj   +1 more source

Navigating Supply Shocks: Sector Resilience and Production Prices Through Stochastic Input–Output Modeling

Mathematical Finance, Volume 36, Issue 4, Page 826-845, October 2026.
ABSTRACT This study develops a novel multivariate stochastic framework for assessing systemic risks, such as climate and nature‐related shocks, within production or financial networks. By embedding a linear stochastic fluid network, interpretable as a generalized vector Ornstein–Uhlenbeck process, into the production network of interdependent ...
Giovanni Amici, Gianluca Fusai, Anna Maria Gambaro, Daniele Marazzina   +3 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Dual‐Mode Nanoporous SiO2 Memristors with Coexisting Volatile and Nonvolatile Dynamics for Reservoir Computing

Advanced Science, Volume 13, Issue 51, 14 September 2026.
A nanoporous SiO2 memristor enabling reconfigurable volatile and non‐volatile switching within a single device is demonstrated. The dual‐mode functionality supports both physical reservoir dynamics and synaptic weight storage, allowing unified hardware implementation of reservoir computing for temporal information processing, including image and ...
Bohao Ding, Tongjun Zhang, Li Shao, Nikolay Zhelev, Andrew L. Hector, Ruomeng Huang   +5 more
wiley   +1 more source

Cauchy Kernel Center Differential Filtering Based on Pseudo-Inverse Mechanism for Nonlinear Non-Gaussian Systems

IEEE Access
This paper addresses the non-Gaussian filtering problem for nonlinear systems. An iterative updating center differential filter is designed under Cauchy kernel maximum correntropy, on the basis of the pseudo inverse mechanism.
Shaowu Wang, Yongjing Wang
doaj   +1 more source

On Singular Integrals with Cauchy Kernel on Weight Subspaces: The Basicity Property of Sines and Cosines Systems in Weight Spaces

International Journal of Mathematics and Mathematical Sciences, 2011
A singular operator with Cauchy kernel on the subspaces of weight Lebesgue space is considered. A sufficient condition for a bounded action of this operator from a subspace to another subspace of weight Lebesgue space of functions is found.
Tofig Isa Najafov, Saeed Farahani
doaj   +1 more source

Métodos de Maz'ia e Landweber para o problema de Cauchy elíptico [PDF]

, 2015
Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro de Ciências Físicas e Matemáticas, Programa de Pós-Graduação em Matemática Pura e Aplicada, Florianópolis, 2015.Nesta dissertação foi trabalhado o clássico exemplo de problema mal ...
Souza, Mario Luiz Previatti de
core  

Mapping sex‐specific associations of adiposity with age‐related cognitive decline and multimodal Alzheimer's pathology

Alzheimer's &Dementia, Volume 22, Issue 9, September 2026.
Abstract INTRODUCTION The adiposity–cognition relationship in aging is controversial. This study aimed to assess its sex‐ and age‐specific associations with Alzheimer’s disease (AD) pathology using multimodal biomarkers. METHODS In two longitudinal cohorts (Hubei Memory and Aging Cohort Study [HMACS], n = 2,349; Alzheimer’s Disease Neuroimaging ...
Jingjing Zhang, Dan Liu, Yueran Yang, Xiaoyu Lou, Hongwei Ren, Wei Tan, Yan Zeng, for the Alzheimer's Disease Neuroimaging Initiative, and the Hubei Memory and Aging Cohort Study   +8 more
wiley   +1 more source

Well-Posedness of Problems for the Heat Equation with a Fractional-Loaded Term and Memory

Dynamics
We investigate the Cauchy problem for a heat equation incorporating variable diffusion coefficients and fractional memory effects modeled by a separable convolution kernel.
Umida Baltaeva, Bobur Khasanov, Omongul Egamberganova, Hamrobek Hayitbayev   +3 more
doaj   +1 more source