Results 121 to 130 of about 11,063,462 (189)

Computer Experiments with Newton's Method

, 2003
We study the chaotic behaviour of Newton's method with graphic calculators and computers. Through repeated experiments the students can explore the behaviour of the sequence Xn=Nf(Xn)=x-f(x)/f´(x) where f(x) is a quintic polynomial.
Sousa Ramos, J., Orlando Freitas, J.
core  

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

An elephant in the room amplifies discomfort when the virtual reality space matches physical reality. [PDF]

iScience
Wiesing M, Clocchiatti A, Ryan B, Montserrat R, Soccini AM, Slater M.   +5 more
europepmc   +1 more source

Appetizer on soft matter physics concepts in mechanobiology. [PDF]

Dev Growth Differ, 2023
Lou Y.
europepmc   +1 more source

A Newton Collocation Method for Solving Dynamic Bargaining Games [PDF]

We develop and implement a collocation method to solve for an equilibrium in the dynamic legislative bargaining game of Duggan and Kalandrakis (2008). We formulate the collocation equations in a quasi-discrete version of the model, and we show that the ...
John Duggan, Tasos Kalandrakis
core  

Simultaneous T2, T2*, and R2′ Mapping for Multiple Sclerosis Using Nonlinear Model‐Based Reconstruction of Undersampled Radial RARE‐EPI MRI

Magnetic Resonance in Medicine, Volume 96, Issue 4, Page 1872-1892, October 2026.
ABSTRACT Purpose To demonstrate the synergy of undersampled radial 2in1‐RARE‐EPI acquisition and nonlinear model‐based reconstruction for accelerated and simultaneous T2, T2*, and R2′ mapping in brains of patients with multiple sclerosis (MS). Methods 2in1‐RARE‐EPI combines a RARE module with an EPI module to capture T2 and T2* information.
Jose Raul Velasquez Vides, Carl J. J. Herrmann, Thomas Gladytz, Hoby P. Hetherington, Hendrik Mattern, Xiaoqing Wang, Jason M. Millward, Shahriar Shalikar, Igor Fabian Tellez Ceja, Beate Endemann, Sonia Waiczies, Joseph Kuchling, Friedemann Paul, Georg Rose, Min‐Chi Ku, Franz Schmitt, Thoralf Niendorf   +16 more
wiley   +1 more source

Effects of crack-γ/γ' interface relative distributions on the deformation and crack growth behaviors of a nickel-based superalloy. [PDF]

RSC Adv
Qin X, Yan W, Liang Y, Li F.
europepmc   +1 more source

A Generalization of Newton's Method

, 1948
It is our purpose here to investigate the method of solving equations for real roots by Newton's Method and to indicate a generalization arising from this ...
LeBouf, Billy Ruth
core  

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, Rong Guo, Ziwen Ke, Yudu Li, Yibo Zhao, Wen Jin, Ruihao Liu, Ziyu Meng, Yao Li, Zhi‐Pei Liang   +9 more
wiley   +1 more source

Parameter estimation for stable distributions and their mixture. [PDF]

J Appl Stat
Hajjaji O, Manou-Abi SM, Slaoui Y.
europepmc   +1 more source