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In this paper, we study the problem of map matching with travel time constraints. Given a sequence of $k$ spatio-temporal measurements and an embedded path graph with travel time costs, the goal is to snap each measurement to a close-by…

计算几何 · 计算机科学 2025-06-24 Yannick Bosch , Sabine Storandt

Line matching plays an essential role in structure from motion (SFM) and simultaneous localization and mapping (SLAM), especially in low-textured and repetitive scenes. In this paper, we present a new method of using a graph convolution…

计算机视觉与模式识别 · 计算机科学 2020-04-14 QuanMeng Ma , Guang Jiang , DianZhi Lai

This paper considers the generalized continuation Newton method and thetrust-region updating strategy for the underdetermined system of nonlinear equations. Moreover, in order to improve its computational efficiency, the new method will not…

数值分析 · 数学 2021-05-26 Xin-long Luo , Hang Xiao

Regularization is used in many different areas of optimization when solutions are sought which not only minimize a given function, but also possess a certain degree of regularity. Popular applications are image denoising, sparse regression…

最优化与控制 · 数学 2021-11-15 Bennet Gebken , Katharina Bieker , Sebastian Peitz

In this paper, a globally convergent trust region proximal gradient method is developed for composite multi-objective optimization problems where each objective function can be represented as the sum of a smooth function and a nonsmooth…

最优化与控制 · 数学 2024-10-28 Md Abu Talhamainuddin Ansary

For many algorithms, parameter tuning remains a challenging and critical task, which becomes tedious and infeasible in a multi-parameter setting. Multi-penalty regularization, successfully used for solving undetermined sparse regression of…

机器学习 · 统计学 2017-10-12 Markus Grasmair , Timo Klock , Valeriya Naumova

In this paper we propose a novel approach to manage the throughput vs latency tradeoff that emerges when managing updates in geo-replicated systems. Our approach consists in allowing full concurrency when processing local updates and using…

分布式、并行与集群计算 · 计算机科学 2017-02-08 Chathuri Gunawardhana , Manuel Bravo , Luís Rodrigues

The mutual intensity and its equivalent phase-space representations quantify an optical field's state of coherence and are important tools in the study of light propagation and dynamics, but they can only be estimated indirectly from…

光学 · 物理学 2017-11-16 Chenglong Bao , George Barbastathis , Hui Ji , Zuowei Shen , Zhengyun Zhang

Regularization is a core component of modern inverse problems, as it helps establish the well-posedness of the solution of interest. Popular regularization approaches include variational regularization and iterative regularization. The…

最优化与控制 · 数学 2025-08-08 Jie Gao , Cesare Molinari , Silvia Villa , Jingwei Liang

In this paper, we consider augmented Lagrangian (AL) algorithms for solving large-scale nonlinear optimization problems that execute adaptive strategies for updating the penalty parameter. Our work is motivated by the recently proposed…

最优化与控制 · 数学 2017-01-02 Frank E. Curtis , Nicholas I. M. Gould , Hao Jiang , Daniel P. Robinson

In this article, we develop a trust-region technique to find critical points of unconstrained set optimization problems with the objective set-valued map defined by finitely many twice continuously differentiable functions. The technique is…

最优化与控制 · 数学 2025-09-10 Suprova Ghosh , Debdas Ghosh , Christiane Tammer , Xiaopeng Zhao

Regularization is a popular technique to solve the overfitting problem of machine learning algorithms. Most regularization technique relies on parameter selection of the regularization coefficient. Plug-in method and cross-validation…

机器学习 · 计算机科学 2022-05-24 Hao Wang

Regularization is widely used in statistics and machine learning to prevent overfitting and gear solution towards prior information. In general, a regularized estimation problem minimizes the sum of a loss function and a penalty term. The…

统计计算 · 统计学 2012-01-18 Hua Zhou , Yichao Wu

Acquisition of training data for the standard semantic segmentation is expensive if requiring that each pixel is labeled. Yet, current methods significantly deteriorate in weakly supervised settings, e.g. where a fraction of pixels is…

计算机视觉与模式识别 · 计算机科学 2021-10-13 Dmitrii Marin , Yuri Boykov

Many problems that arise in machine learning domain deal with nonlinearity and quite often demand users to obtain global optimal solutions rather than local optimal ones. Optimization problems are inherent in machine learning algorithms and…

人工智能 · 计算机科学 2007-12-27 Chandan K. Reddy

We consider a least absolute deviation (LAD) approach to the robust phase retrieval problem that aims to recover a signal from its absolute measurements corrupted with sparse noise. To solve the resulting non-convex optimization problem, we…

信号处理 · 电气工程与系统科学 2024-04-25 Seonho Kim , Kiryung Lee

In this paper the computational challenges of time-optimal path following are addressed. The standard approach is to minimize the travel time, which inevitably leads to singularities at zero path speed, when reformulating the optimization…

机器人学 · 计算机科学 2025-10-24 Tobias Marauli , Hubert Gattringer , Andreas Mueller

We present an improved three-step pipeline for the stereo matching problem and introduce multiple novelties at each stage. We propose a new highway network architecture for computing the matching cost at each possible disparity, based on…

计算机视觉与模式识别 · 计算机科学 2017-01-03 Amit Shaked , Lior Wolf

We propose and analyze a regularization approach for structured prediction problems. We characterize a large class of loss functions that allows to naturally embed structured outputs in a linear space. We exploit this fact to design…

机器学习 · 计算机科学 2017-07-31 Carlo Ciliberto , Alessandro Rudi , Lorenzo Rosasco

Classical trust region methods were designed to solve problems in which function and gradient information are exact. This paper considers the case when there are bounded errors (or noise) in the above computations and proposes a simple…

最优化与控制 · 数学 2022-01-05 Shigeng Sun , Jorge Nocedal