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In this paper, we propose a novel variational active contour model based on Aubert-Aujol (AA) denoising model, which hybrides geodesic active contour (GAC) model with active contours without edges (ACWE) model and can be used to segment…

计算机视觉与模式识别 · 计算机科学 2025-08-20 Guangming Liu

In this paper, we propose a novel locally statistical variational active contour model based on I-divergence-TV denoising model, which hybrides geodesic active contour (GAC) model with active contours without edges (ACWE) model, and can be…

计算机视觉与模式识别 · 计算机科学 2025-08-19 Guangming Liu

In this paper, we propose a novel variational active contour model based on I-divergence-TV model to segment Synthetic aperture radar (SAR) images with multiplicative gamma noise, which hybrides edge-based model with region-based model. The…

计算机视觉与模式识别 · 计算机科学 2025-08-20 Guangming Liu

Numerous applications require algorithms that can align partially overlapping point sets while maintaining invariance to geometric transformations (e.g., similarity, affine, rigid). This paper introduces a novel global optimization method…

计算机视觉与模式识别 · 计算机科学 2025-10-09 Wei Lian , Zhesen Cui , Fei Ma , Hang Pan , Wangmeng Zuo , Jianmei Zhang

We present an optimization algorithm that can identify a global minimum of a potentially nonconvex smooth function with high probability, assuming the Gibbs measure of the potential satisfies a logarithmic Sobolev inequality. Our…

最优化与控制 · 数学 2025-09-16 Daniel Cortild , Claire Delplancke , Nadia Oudjane , Juan Peypouquet

Optimization problems with norm-bounding constraints arise in a variety of applications, including portfolio optimization, machine learning, and feature selection. A common approach to these problems involves relaxing the norm constraint…

最优化与控制 · 数学 2025-05-08 Danial Davarnia , Mohammadreza Kiaghadi

In this paper, we propose a Robbins-Monro augmented Lagrangian method (RMALM) to solve a class of constrained stochastic convex optimization, which can be regarded as a hybrid of the Robbins-Monro type stochastic approximation method and…

最优化与控制 · 数学 2022-09-02 Rui Wang , Chao Ding

Subspace segmentation assumes that data comes from the union of different subspaces and the purpose of segmentation is to partition the data into the corresponding subspace. Low-rank representation (LRR) is a classic spectral-type method…

机器学习 · 计算机科学 2020-07-15 Xishun Wang , Zhouwang Yang , Xingye Yue , Hui Wang

This paper presents a novel approach for denoising binary images using simulated annealing (SA), a global optimization technique that addresses the inherent challenges of non convex energy functions. Binary images are often corrupted by…

计算机视觉与模式识别 · 计算机科学 2025-02-13 Milind Cherukuri

We address rotation averaging (RA) and its application to real-world 3D reconstruction. Local optimisation based approaches are the de facto choice, though they only guarantee a local optimum. Global optimisers ensure global optimality in…

计算机视觉与模式识别 · 计算机科学 2021-03-30 Yu Chen , Ji Zhao , Laurent Kneip

We introduce SPRING, a novel stochastic proximal alternating linearized minimization algorithm for solving a class of non-smooth and non-convex optimization problems. Large-scale imaging problems are becoming increasingly prevalent due to…

最优化与控制 · 数学 2021-01-20 Derek Driggs , Junqi Tang , Jingwei Liang , Mike Davies , Carola-Bibiane Schönlieb

Dual decomposition is a powerful technique for deriving decomposition schemes for convex optimization problems with separable structure. Although the Augmented Lagrangian is computationally more stable than the ordinary Lagrangian, the…

最优化与控制 · 数学 2013-02-14 Ion Necoara , Johan A. K. Suykens

The Augmented Lagragian Method (ALM) and Alternating Direction Method of Multiplier (ADMM) have been powerful optimization methods for general convex programming subject to linear constraint. We consider the convex problem whose objective…

最优化与控制 · 数学 2015-11-18 Canyi Lu , Huan Li , Zhouchen Lin , Shuicheng Yan

This paper presents a practical method for finding the globally optimal solution to the sum-of-ratios problem arising in image processing, engineering and management. Unlike traditional methods which may get trapped in local minima due to…

最优化与控制 · 数学 2012-08-07 Yunchol Jong

This paper proposes a joint decomposition method that combines La- grangian decomposition and generalized Benders decomposition, to efficiently solve multiscenario nonconvex mixed-integer nonlinear programming (MINLP) problems to global…

最优化与控制 · 数学 2018-02-22 Emmanuel Ogbe , Xiang Li

We study distributed optimization to minimize a global objective that is a sum of smooth and strongly-convex local cost functions. Recently, several algorithms over undirected and directed graphs have been proposed that use a gradient…

最优化与控制 · 数学 2018-08-13 Ran Xin , Usman A. Khan

Conservation principles like conservation of charge or energy provide a natural way to couple and constrain different physical variables. In this letter, we propose a dynamical system model that exploits these constraints for solving…

最优化与控制 · 数学 2017-07-24 Oindrila Chatterjee , Shantanu Chakrabartty

We introduce a new algorithm to solve a regularized spatial-spectral image estimation problem. Our approach is based on the linearized alternating directions method of multipliers (LADMM), which is a variation of the popular ADMM algorithm.…

信号处理 · 电气工程与系统科学 2025-02-25 Yunsong Liu , Debdut Mandal , Congyu Liao , Kawin Setsompop , Justin P. Haldar

A new algorithm for solving large-scale convex optimization problems with a separable objective function is proposed. The basic idea is to combine three techniques: Lagrangian dual decomposition, excessive gap and smoothing. The main…

最优化与控制 · 数学 2011-12-01 Tran Dinh Quoc , Carlo Savorgnan , Moritz Diehl

Dynamic imaging addresses the recovery of a time-varying 2D or 3D object at each time instant using its undersampled measurements. In particular, in the case of dynamic tomography, only a single projection at a single view angle may be…

图像与视频处理 · 电气工程与系统科学 2024-05-09 Berk Iskender , Marc L. Klasky , Yoram Bresler
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