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An Overview of Some Practical Quasi-Newton Methods for Unconstrained Optimization
Sultan Qaboos University Journal for Science, 2007 Quasi-Newton methods are among the most practical and efficient iterative methods for solving unconstrained minimization problems. In this paper we give an overview of some of these methods with focus primarily on the Hessian approximation updates and ...
M. Al-Baali, H. Khalfan
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Stabilized material point methods for coupled large deformation and fluid flow in porous materials
, 2019 The material point method (MPM) has been increasingly used for the simulation of large deformation processes in fluid-infiltrated porous materials. For undrained poromechanical problems, however, standard MPMs are numerically unstable because they use ...
Choo, Jinhyun, Zhao, Yidong
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Advanced Science, EarlyView.An entity‐centric foundation model, GloPath, is introduced for comprehensive glomerular lesion assessment from routine renal biopsy images. Trained on over one million glomeruli, the framework enables robust lesion recognition, grading, and cross modality diag nosis, while uncovering large‐scale clinicopathological associations.
Qiming He +28 more
wiley +1 more source
Identifying and attacking the saddle point problem in high-dimensional non-convex optimization [PDF]
, 2014 A central challenge to many fields of science and engineering involves minimizing non-convex error functions over continuous, high dimensional spaces.
Caglar Gulcehre +6 more
core
Quasi-Newton methods: superlinear convergence without line searches for self-concordant functions [PDF]
Optim. Methods Softw., 2016 We consider the use of a curvature-adaptive step size in gradient-based iterative methods, including quasi-Newton methods, for minimizing self-concordant functions, extending an approach first proposed for Newton's method by Nesterov.
Wenbo Gao, D. Goldfarb
semanticscholar +1 more source
Sono‐Mechanogenetics: Linking Ultrasound Physics With Cellular Mechanobiology
Advanced Science, EarlyView.Sono‐mechanogenetics links ultrasound physics with cellular mechanotransduction to enable noninvasive control of engineered biological systems. Acoustic forces generate distinct deformation modes that activate intracellular signaling pathways, which can be coupled to synthetic gene circuits to regulate diverse cellular functions, including gene ...
Yunjia Qu +4 more
wiley +1 more source
An Approximate Quasi-Newton Bundle-Type Method for Nonsmooth Optimization
Abstract and Applied Analysis, 2013 An implementable algorithm for solving a nonsmooth convex optimization problem is proposed by combining Moreau-Yosida regularization and bundle and quasi-Newton ideas. In contrast with quasi-Newton bundle methods of Mifflin et al.
Jie Shen, Li-Ping Pang, Dan Li
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Advanced Science, EarlyView.A quasi‐periodic Dart‐Kite (QDK) metastructure with a golden‐ratio‐constrained strong–weak bond network simultaneously enhances strength, toughness, and damage tolerance. Its distributed topology enables predictable, tailorable crack paths for precise fracture control and stable mechanics, demonstrating a high‐performance, controllable architecture ...
Tianyu Gao +3 more
wiley +1 more source
AIChE Journal, EarlyView.Abstract Filamentous microorganisms exhibit complex morphologies that influence product formation and are affected by various bioprocess parameters. Consistent morphology is therefore essential for comparable results during scale‐up. This study investigates the scale‐up of Streptomyces species (Streptomyces spp.) cultivations from shake flasks to ...
Gesa Brauneck +12 more
wiley +1 more source
SIAM Journal on Optimization, 2020 Motivated by applications arising from large-scale optimization and machine learning, we consider stochastic quasi-Newton (SQN) methods for solving unconstrained convex optimization problems.
Farzad Yousefian, A. Nedić, U. Shanbhag
semanticscholar +1 more source