A modified quasi-Newton equation in the quasi-Newton methods for optimization
Applied Mathematical Sciences, 2019 Basim A. Hassan, Mohammed W. Taha
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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 +2 more
wiley +1 more source
Nonlinear Schwarz Preconditioning for Quasi-Newton Methods
We propose the nonlinear restricted additive Schwarz (RAS) preconditioning strategy to improve the convergence speed of limited memory quasi-Newton (QN) methods. We consider both "left-preconditioning" and "right-preconditioning" strategies. As the application of the nonlinear preconditioning changes the standard gradients and Hessians to their ...
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Journal of Computer Assisted Learning, Volume 42, Issue 5, October 2026.ABSTRACT Background The advent of artificial intelligence (AI) has fundamentally changed how education is delivered and how students perform. Since its launch, ChatGPT, a popular generative AI tool, has generated mixed reactions. Objectives This research systematically reviews the opportunities, perceptions, and challenges of using ChatGPT among ...
Olukayode Emmanuel Apata +2 more
wiley +1 more source
Improving sampling efficacy on high-dimensional distributions with thin high-density regions using Conservative Hamiltonian Monte Carlo. [PDF]
PNAS NexusMcGregor G, Wan ATS.
europepmc +1 more source
Denoising of ASL Data Using Deep Learning Priors Generated From Distribution Remapping
Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1972-1982, October 2026.ABSTRACT Purpose To develop an effective deep learning (DL)–based method to denoise arterial spin labeling (ASL) data. Methods Conventional DL–based ASL denoising methods often suffer from overfitting and poor generalization when training data are limited.
Ziyang Xu +9 more
wiley +1 more source
GEORCE: a fast new control algorithm for computing geodesics. [PDF]
Inf GeomRygaard FM, Hauberg S.
europepmc +1 more source
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 11, Page 2760-2780, September 2026.ABSTRACT This study investigates the seismic response of moment‐resisting frames retrofitted with a stepping rocking wall, with emphasis on weak‐story mitigation and residual drift reduction under both ordinary and pulse‐like ground motions. Nonlinear response‐history analyses are conducted on 9‐story and 20‐story SAC Los Angeles frames.
Mehrdad Aghagholizadeh
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Combining quasi-one-dimensional modeling with region-wise structure analysis for rapid technology computer-aided design simulations of gate-all-around MOSFETs. [PDF]
Commun EngLee KW +4 more
europepmc +1 more source
Applied Element Modelling of Out‐Of‐Plane Instability in Boundary Elements of Thin RC Walls
Earthquake Engineering &Structural Dynamics, Volume 55, Issue 11, Page 2800-2817, September 2026.ABSTRACT Recent earthquakes in Chile (2010) and New Zealand (2011) caused extensive damage to buildings featuring reinforced concrete (RC) structural walls, with observed failure modes including out‐of‐plane instability of slender walls. This buckling‐type response under combined in‐plane and out‐of‐plane loading has also been documented in ...
Andrea Orgnoni +2 more
wiley +1 more source