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For a model of nonlinear elastodynamics, we construct a finite volume scheme which is able to capture nonclassical shocks (also called undercompressive shocks). Those shocks verify an entropy inequality but are not admissible in the sense…

数值分析 · 数学 2015-02-16 Nina Aguillon

Adaptive fuzzy control strategies are established to achieve global prescribed performance with prescribed-time convergence for strict-feedback systems with mismatched uncertainties and unknown nonlinearities. Firstly, to quantify the…

系统与控制 · 电气工程与系统科学 2022-12-29 Bing Mao , Xiaoqun Wu , Hui Liu , Yuhua Xu , Jinhu Lü

This paper is concerned with a blood flow problem coupled with a slow plaque growth at the artery wall. In the model, the micro (fast) system is the Navier-Stokes equation with a periodically applied force and the macro (slow) system is a…

数值分析 · 数学 2022-10-21 Zhaoyang Wang , Ping Lin , Lei Zhang

Accurate image alignment is essential for monitoring crack evolution in structural health monitoring (SHM), particularly under real-world conditions involving perspective distortion, occlusion, and low contrast. However, traditional feature…

计算机视觉与模式识别 · 计算机科学 2025-07-01 Xinxin Sun , Peter Chang

Single object tracking in point clouds has been attracting more and more attention owing to the presence of LiDAR sensors in 3D vision. However, the existing methods based on deep neural networks focus mainly on training different models…

计算机视觉与模式识别 · 计算机科学 2024-01-25 Shengjing Tian , Jun Liu , Xiuping Liu

A game theory inspired methodology is proposed for finding a function's saddle points. While explicit descent methods are known to have severe convergence issues, implicit methods are natural in an adversarial setting, as they take the…

最优化与控制 · 数学 2019-06-04 Montacer Essid , Esteban Tabak , Giulio Trigila

The paper presents a new, robust control algorithm for position trajectory tracking in a 3D space, dedicated to underactuated airships. In order to take into account real characteristics of such vehicles, and to reflect practically…

系统与控制 · 电气工程与系统科学 2020-05-19 Wojciech Adamski , Dariusz Pazderski , Przemysław Herman

In this paper we study a system of advection-diffusion equations in a bulk domain coupled to an advection-diffusion equation on an embedded surface. Such systems of coupled partial differential equations arise in, for example, the modeling…

数值分析 · 数学 2014-12-09 Sven Gross , Maxim A. Olshanskii , Arnold Reusken

In this work, we present a subdomain discontinuous least-squares (SDLS) scheme for neutronics problems. Least-squares (LS) methods are known to be inaccurate for problems with sharp total-cross section interfaces. In addition, the…

计算物理 · 物理学 2017-11-16 Weixiong Zheng , Ryan G. McClarren , Jim E. Morel

Ego-pose estimation and dynamic object tracking are two critical problems for autonomous driving systems. The solutions to these problems are generally based on their respective assumptions, \ie{the static world assumption for simultaneous…

机器人学 · 计算机科学 2024-10-28 Xuebo Tian , Zhongyang Zhu , Junqiao Zhao , Gengxuan Tian , Chen Ye

A unified metric is given for the evaluation of object tracking systems. The metric is inspired by KL-divergence or relative entropy, which is commonly used to evaluate clustering techniques. Since tracking problems are fundamentally…

计算机视觉与模式识别 · 计算机科学 2019-03-04 Terrence Adams

The in vitro scratch assay is a widely used assay in cell biology to assess the rate of wound closure related to a variety of therapeutic interventions. While manual measurement is subjective and vulnerable to intra- and interobserver…

计算机视觉与模式识别 · 计算机科学 2024-07-03 Katja Löwenstein , Johanna Rehrl , Anja Schuster , Michael Gadermayr

We investigate novel fitted finite element approximations for two-phase Navier--Stokes flow. In particular, we consider both Eulerian and Arbitrary Lagrangian--Eulerian (ALE) finite element formulations. The moving interface is approximated…

数值分析 · 数学 2020-08-07 Marco Agnese , Robert Nürnberg

Many robotic tasks involving some form of 3D visual perception greatly benefit from a complete knowledge of the working environment. However, robots often have to tackle unstructured environments and their onboard visual sensors can only…

计算机视觉与模式识别 · 计算机科学 2022-10-24 Andrea Rosasco , Stefano Berti , Fabrizio Bottarel , Michele Colledanchise , Lorenzo Natale

This paper proposes a new method for differentiating through optimal trajectories arising from non-convex, constrained discrete-time optimal control (COC) problems using the implicit function theorem (IFT). Previous works solve a…

机器学习 · 计算机科学 2023-10-25 Ming Xu , Timothy Molloy , Stephen Gould

We present an efficient approximate message passing solver for the lifted disjoint paths problem (LDP), a natural but NP-hard model for multiple object tracking (MOT). Our tracker scales to very large instances that come from long and…

计算机视觉与模式识别 · 计算机科学 2021-08-25 Andrea Hornakova , Timo Kaiser , Paul Swoboda , Michal Rolinek , Bodo Rosenhahn , Roberto Henschel

This chapter offers a comprehensive introduction to the least-squares neural network (LSNN) method introduced in [14,16], for solving scalar first-order hyperbolic partial differential equations, specifically linear advection-reaction…

数值分析 · 数学 2026-01-29 Min Liu , Zhiqiang Cai

Many man-made objects are characterised by a shape that is symmetric along one or more planar directions. Estimating the location and orientation of such symmetry planes can aid many tasks such as estimating the overall orientation of an…

计算机视觉与模式识别 · 计算机科学 2021-07-01 Mihaela Cătălina Stoian , Tommaso Cavallari

Multi-object tracking plays a crucial role in various applications, such as autonomous driving and security surveillance. This study introduces Deep LG-Track, a novel multi-object tracker that incorporates three key enhancements to improve…

计算机视觉与模式识别 · 计算机科学 2025-04-03 Ting Meng , Chunyun Fu , Xiangyan Yan , Zheng Liang , Pan Ji , Jianwen Wang , Tao Huang

Advances in perception modeling have significantly improved the performance of object tracking. However, the current methods for specifying the target object in the initial frame are either by 1) using a box or mask template, or by 2)…

计算机视觉与模式识别 · 计算机科学 2024-01-01 Jiawen Zhu , Zhi-Qi Cheng , Jun-Yan He , Chenyang Li , Bin Luo , Huchuan Lu , Yifeng Geng , Xuansong Xie