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In this paper, we present a convergence rate analysis for the inexact Krasnosel'skii-Mann iteration built from nonexpansive operators. Our results include two main parts: we first establish global pointwise and ergodic iteration-complexity…

最优化与控制 · 数学 2015-09-17 Jingwei Liang , Jalal Fadili , Gabriel Peyré

Some variants of the (block) Gauss--Seidel iteration for the solution of linear systems with $M$-matrices in (block) Hessenberg form are discussed. Comparison results for the asymptotic convergence rate of some regular splittings are…

数值分析 · 数学 2021-11-18 Luca Gemignani , Federico Poloni

We analyze a semi-discrete splitting method for conservation laws driven by a semilinear noise term. Making use of fractional $BV$ estimates, we show that the splitting method produces a compact sequence of approximate solutions converging…

偏微分方程分析 · 数学 2016-08-23 Erlend B. Storrøsten , Kenneth H. Karlsen

Distributed optimization aims to leverage the local computation and communication capabilities of each agent to achieve a desired global objective. This paper addresses the distributed pose graph optimization (PGO) problem under non-convex…

系统与控制 · 电气工程与系统科学 2025-03-11 Zeinab Ebrahimi , Mohammad Deghat

We prove a few representer theorems for a localised version of the regularised and multiview support vector machine learning problem introduced by H.Q. Minh, L. Bazzani, and V. Murino, Journal of Machine Learning Research, 17(2016) 1-72,…

泛函分析 · 数学 2025-11-04 Aurelian Gheondea , Cankat Tilki

A novel algorithm is proposed for segmenting an image into multiple levels using its mean and variance. Starting from the extreme pixel values at both ends of the histogram plot, the algorithm is applied recursively on sub-ranges computed…

计算机视觉与模式识别 · 计算机科学 2007-05-23 Siddharth Arora , Jayadev Acharya , Amit Verma , Prasanta K. Panigrahi

A novel linear classification method that possesses the merits of both the Support Vector Machine (SVM) and the Distance-weighted Discrimination (DWD) is proposed in this article. The proposed Distance-weighted Support Vector Machine method…

机器学习 · 统计学 2015-10-09 Xingye Qiao , Lingsong Zhang

In this article we present a modified S-iteration process that we combine with inertial extrapolation to find a common solution to the split monotone inclusion problem and the fixed point problem in real Hilbert space.Our goal is to…

数值分析 · 数学 2021-10-11 Shamshad Husain , Uqba Rafat

This article deals with the spatio-temporal sensors deployment in order to maximize detection probability of an intelligent and randomly moving target in an area under surveillance. Our work is based on the rare events simulation framework.…

神经与进化计算 · 计算机科学 2017-02-24 Chouchane Mathieu , Paris Sébastien , Le Gland François , Ouladsine Mustapha

In this paper, we discuss an extension of the Split Hamiltonian Monte Carlo (Split HMC) method for Gaussian process model (GPM). This method is based on splitting the Hamiltonian in a way that allows much of the movement around the state…

统计计算 · 统计学 2012-07-17 Shiwei Lan , Babak Shahbaba

A dynamic iteration scheme for linear differential-algebraic port-Hamil\-tonian systems based on Lions-Mercier-type operator splitting methods is developed. The dynamic iteration is monotone in the sense that the error is decreasing and no…

数值分析 · 数学 2023-09-26 Andreas Bartel , Michael Günther , Birgit Jacob , Timo Reis

In this study, we propose a class of total variation diminishing (TVD) schemes for solving pseudo-monotone variational inequality arises in elasto-hydrodynamic lubrication point contact problem. A limiter based stable hybrid line splittings…

数值分析 · 数学 2018-07-17 Peeyush Singh

We extensively describe our recently established "divide-and-conquer" semiclassical method [M. Ceotto, G. Di Liberto and R. Conte, Phys. Rev. Lett. 119, 010401 (2017)] and propose a new implementation of it to increase the accuracy of…

化学物理 · 物理学 2018-01-15 Giovanni Di Liberto , Riccardo Conte , Michele Ceotto

We introduce a relaxed-projection splitting algorithm for solving variational inequalities in Hilbert spaces for the sum of nonsmooth maximal monotone operators, where the feasible set is defined by a nonlinear and nonsmooth continuous…

最优化与控制 · 数学 2015-12-31 J. Y. Bello Cruz , R. Diaz Millan

This paper is to analyze the approximation solution of a split variational inclusion problem in the framework of infinite dimensional Hilbert spaces. For this purpose, several inertial hybrid and shrinking projection algorithms are proposed…

最优化与控制 · 数学 2024-09-17 Zheng Zhou , Bing Tan , Songxiao Li

Division algorithms have been developed to reduce latency and to improve the efficiency of the processors. Floating point division is considered as a high latency operation. This papers looks into one such division algorithm, examines the…

硬件体系结构 · 计算机科学 2019-09-24 Taposh Dutta Roy

The classical hinge-loss support vector machines (SVMs) model is sensitive to outlier observations due to the unboundedness of its loss function. To circumvent this issue, recent studies have focused on non-convex loss functions, such as…

机器学习 · 计算机科学 2022-07-19 Ítalo Santana , Breno Serrano , Maximilian Schiffer , Thibaut Vidal

In this article we investigate the numerical solution of a scalar semilinear stochastic delay differential equation (SDDE) where the linear instantaneous feedback and nonlinear delayed feedback terms are perturbed by a pair of standard…

数值分析 · 数学 2026-03-24 Cónall Kelly , Wenshi Tang

We introduce a principal support vector machine (PSVM) approach that can be used for both linear and nonlinear sufficient dimension reduction. The basic idea is to divide the response variables into slices and use a modified form of support…

统计理论 · 数学 2012-03-14 Bing Li , Andreas Artemiou , Lexin Li

Few-shot Semantic Segmentation (FSS) is a challenging task that utilizes limited support images to segment associated unseen objects in query images. However, recent FSS methods are observed to perform worse, when enlarging the number of…

计算机视觉与模式识别 · 计算机科学 2025-01-24 Wailing Tang , Biqi Yang , Pheng-Ann Heng , Yun-Hui Liu , Chi-Wing Fu