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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…

数值分析 · 数学 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…

数值分析 · 数学 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…

计算机视觉与模式识别 · 计算机科学 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,…

数值分析 · 数学 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…

数值分析 · 数学 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…

人工智能 · 计算机科学 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…

人工智能 · 计算机科学 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…

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…

最优化与控制 · 数学 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…

声音 · 计算机科学 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.…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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,…

最优化与控制 · 数学 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…

图像与视频处理 · 电气工程与系统科学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

量子物理 · 物理学 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…

最优化与控制 · 数学 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…

最优化与控制 · 数学 2024-01-04 Kai Yang , Masoud Asgharian , Sahir Bhatnagar