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Fixed-point solvers are ubiquitous in nonlinear PDEs, yet their progress collapses whenever the Jacobian at the solution carries an eigenvalue arbitrarily close to one. We ask whether such stagnation can be removed without storing long…

Numerical Analysis · Mathematics 2026-01-06 Francesco Alemanno

BoostConv has been introduced in earlier works as an effective acceleration technique for nonlinear iterative processes and has been successfully employed in a variety of applications to enhance convergence rates or to compute unstable…

Numerical Analysis · Mathematics 2026-03-24 Vincenzo Citro , Davide Palitta

Many modern computer vision and machine learning applications rely on solving difficult optimization problems that involve non-differentiable objective functions and constraints. The alternating direction method of multipliers (ADMM) is a…

Computer Vision and Pattern Recognition · Computer Science 2017-04-11 Zheng Xu , Mario A. T. Figueiredo , Xiaoming Yuan , Christoph Studer , Tom Goldstein

This paper deals with a general class of algorithms for the solution of fixed-point problems that we refer to as \emph{Anderson--Pulay acceleration}. This family includes the DIIS technique and its variant sometimes called commutator-DIIS,…

Numerical Analysis · Mathematics 2021-11-19 Maxime Chupin , Mi-Song Dupuy , Guillaume Legendre , Eric Séré

A pervasive approach in scientific computing is to express the solution to a given problem as the limit of a sequence of vectors or other mathematical objects. In many situations these sequences are generated by slowly converging iterative…

Numerical Analysis · Mathematics 2025-07-17 Yousef Saad

Evolutionary artificial neural networks (EANNs) refer to a special class of artificial neural networks (ANNs) in which evolution is another fundamental form of adaptation in addition to learning. Evolutionary algorithms are used to adapt…

Artificial Intelligence · Computer Science 2016-11-17 Ajith Abraham

We apply the optimization algorithm Adaptive Simulated Annealing (ASA) to the problem of analyzing data on a large population and selecting the best model to predict that an individual with various traits will have a particular disease. We…

Artificial Intelligence · Computer Science 2007-05-23 Darin Goldstein , William Murray , Binh Yang

Evolutionary algorithms (EA), a class of stochastic search methods based on the principles of natural evolution, have received widespread acclaim for their exceptional performance in various real-world optimization problems. While…

Neural and Evolutionary Computing · Computer Science 2024-01-30 Yanjie Song , Yutong Wu , Yangyang Guo , Ran Yan , P. N. Suganthan , Yue Zhang , Witold Pedrycz , Swagatam Das , Rammohan Mallipeddi , Oladayo Solomon Ajani. Qiang Feng

This paper describes the design of a safeguarding scheme for Anderson acceleration to improve its practical performance and stability when used for first-order optimisation methods. We show how the combination of a non-expansiveness…

Optimization and Control · Mathematics 2022-08-08 Michael Garstka , Mark Cannon , Paul Goulart

Inspite the emerging importance of Speech Emotion Recognition (SER), the state-of-the-art accuracy is quite low and needs improvement to make commercial applications of SER viable. A key underlying reason for the low accuracy is the…

Sound · Computer Science 2020-03-24 Siddique Latif , Rajib Rana , Sara Khalifa , Raja Jurdak , Julien Epps , Björn W. Schuller

First-order stochastic optimization methods are currently the most widely used class of methods for training deep neural networks. However, the choice of the optimizer has become an ad-hoc rule that can significantly affect the performance.…

Machine Learning · Computer Science 2020-10-21 Samy Jelassi , Aaron Defazio

Supervised deep learning relies on the assumption that enough training data is available, which presents a problem for its application to several fields, like medical imaging. On the example of a binary image classification task (breast…

Computer Vision and Pattern Recognition · Computer Science 2019-02-22 Lukas Jendele , Ondrej Skopek , Anton S. Becker , Ender Konukoglu

This paper proposes a novel approach to address the challenge that pretrained VLA models often fail to effectively improve performance and reduce adaptation costs during standard supervised finetuning (SFT). Some advanced finetuning methods…

Convex-nonconvex (CNC) regularization is a novel paradigm that employs a nonconvex penalty function while maintaining the convexity of the entire objective function. It has been successfully applied to problems in signal processing,…

Optimization and Control · Mathematics 2025-02-21 Qiang Heng , Xiaoqian Liu , Eric C. Chi

Trauma is a significant cause of mortality and disability, particularly among individuals under forty. Traditional diagnostic methods for traumatic injuries, such as X-rays, CT scans, and MRI, are often time-consuming and dependent on…

Image and Video Processing · Electrical Eng. & Systems 2024-07-24 Liheng Jiang , Xuechun yang , Chang Yu , Zhizhong Wu , Yuting Wang

In deep learning, different kinds of deep networks typically need different optimizers, which have to be chosen after multiple trials, making the training process inefficient. To relieve this issue and consistently improve the model…

Machine Learning · Computer Science 2024-12-02 Xingyu Xie , Pan Zhou , Huan Li , Zhouchen Lin , Shuicheng Yan

Adaptive optimization methods have been widely used in deep learning. They scale the learning rates adaptively according to the past gradient, which has been shown to be effective to accelerate the convergence. However, they suffer from…

Machine Learning · Computer Science 2021-07-06 Hongwei Zhang , Weidong Zou , Hongbo Zhao , Qi Ming , Tijin Yan , Yuanqing Xia , Weipeng Cao

Transcription factors regulate gene expression, but how these proteins recognize and specifically bind to their DNA targets is still debated. Machine learning models are effective means to reveal interaction mechanisms. Here we studied the…

Quantum Physics · Physics 2018-03-02 Richard Y. Li , Rosa Di Felice , Remo Rohs , Daniel A. Lidar

Accelerated coordinate descent is widely used in optimization due to its cheap per-iteration cost and scalability to large-scale problems. Up to a primal-dual transformation, it is also the same as accelerated stochastic gradient descent…

Optimization and Control · Mathematics 2016-05-30 Zeyuan Allen-Zhu , Zheng Qu , Peter Richtárik , Yang Yuan

Nesterov's accelerated gradient (AG) is a popular technique to optimize objective functions comprising two components: a convex loss and a penalty function. While AG methods perform well for convex penalties, such as the LASSO, convergence…

Optimization and Control · Mathematics 2024-01-04 Kai Yang , Masoud Asgharian , Sahir Bhatnagar
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