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We introduce a method-of-lines formulation of the closest point method, a numerical technique for solving partial differential equations (PDEs) defined on surfaces. This is an embedding method, which uses an implicit representation of the…

Numerical Analysis · Mathematics 2013-07-23 Ingrid von Glehn , Thomas März , Colin B. Macdonald

Graph embedding provides a feasible methodology to conduct pattern classification for graph-structured data by mapping each data into the vectorial space. Various pioneering works are essentially coding method that concentrates on a…

Machine Learning · Computer Science 2022-10-04 Xue Liu , Dan Sun , Xiaobo Cao , Hao Ye , Wei Wei

In this paper, we introduce the locally conservative enriched immersed finite element method (EIFEM) to tackle the elliptic problem with interface. The immersed finite element is useful for handling interface with mesh unfit with the…

Numerical Analysis · Mathematics 2021-01-05 Gwanghyun Jo , Do Young Kwak , Young Ju Lee

Today's distributed tracing frameworks are ill-equipped to troubleshoot rare edge-case requests. The crux of the problem is a trade-off between specificity and overhead. On the one hand, frameworks can indiscriminately select requests to…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-04-28 Lei Zhang , Vaastav Anand , Zhiqiang Xie , Ymir Vigfusson , Jonathan Mace

We consider the interface advection problem by a prescribed velocity field in the special case when the interface intersects the domain boundary, i.e. in the presence of a contact line. This problem emerges from the discretization of…

Numerical Analysis · Mathematics 2020-01-29 Mathis Fricke , Tomislav Marić , Dieter Bothe

Network embedding has been intensively studied in the literature and widely used in various applications, such as link prediction and node classification. While previous work focus on the design of new algorithms or are tailored for various…

Social and Information Networks · Computer Science 2019-11-12 Wenqing Lin , Feng He , Faqiang Zhang , Xu Cheng , Hongyun Cai

Empowered by transformer-based models, visual tracking has advanced significantly. However, the slow speed of current trackers limits their applicability on devices with constrained computational resources. To address this challenge, we…

Computer Vision and Pattern Recognition · Computer Science 2024-07-02 Xiangyang Yang , Dan Zeng , Xucheng Wang , You Wu , Hengzhou Ye , Qijun Zhao , Shuiwang Li

Real-time semantic segmentation of LiDAR data is crucial for autonomously driving vehicles, which are usually equipped with an embedded platform and have limited computational resources. Approaches that operate directly on the point cloud…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Shijie Li , Xieyuanli Chen , Yun Liu , Dengxin Dai , Cyrill Stachniss , Juergen Gall

Existing artificial compression based reinitialization scheme for conservative level set method has a few drawbacks, like distortion of fluid-fluid interface, unphysical patch formation away from the interface and lack of mass conservation.…

Computational Physics · Physics 2024-02-09 S. Parameswaran , J. C. Mandal

A main challenge in mining network-based data is finding effective ways to represent or encode graph structures so that it can be efficiently exploited by machine learning algorithms. Several methods have focused in network representation…

Social and Information Networks · Computer Science 2019-03-18 Leonardo Gutiérrez-Gómez , Jean-Charles Delvenne

This paper presents a new parameter free partially penalized immersed finite element method and convergence analysis for solving second order elliptic interface problems. A lifting operator is introduced on interface edges to ensure the…

Numerical Analysis · Mathematics 2022-02-23 Haifeng Ji , Feng Wang , Jinru Chen , Zhilin Li

Beyond diagonal reconfigurable intelligent surfaces (BD-RIS) can realize the interconnection between reflecting elements through the impedance network, thereby providing a new approach for the performance improvement of integrated sensing…

Information Theory · Computer Science 2026-03-17 Xuejun Cheng , Qian Zhang , Yuhui Jiao , Shiyao Guo , Xiaotong Xu , Guanghui Luo , Ju Liu

Graph pattern mining applications try to find all embeddings that match specific patterns. Compared to the traditional graph computation, graph mining applications are computation-intensive. The state-of-the-art method, pattern enumeration,…

Hardware Architecture · Computer Science 2021-04-20 Gengyu Rao , Jingji Chen , Jason Yik , Xuehai Qian

In this paper, we develop and analyze a trilinear immersed finite element method for solving three-dimensional elliptic interface problems. The proposed method can be utilized on interface-unfitted meshes such as Cartesian grids consisting…

Numerical Analysis · Mathematics 2021-06-30 Ruchi Guo , Xu Zhang

This paper investigates task-oriented communication for edge inference, where a low-end edge device transmits the extracted feature vector of a local data sample to a powerful edge server for processing. It is critical to encode the data…

Signal Processing · Electrical Eng. & Systems 2023-01-19 Jiawei Shao , Yuyi Mao , Jun Zhang

This work presents a robust and efficient sharp interface immersed boundary (IBM) framework, which is applicable for all-speed flow regimes and is capable of handling arbitrarily complex bodies (stationary or moving). The work deploys an…

Computational Physics · Physics 2021-01-22 Pradeep Kumar Seshadri , Ashoke De

In this paper, we present a block-oriented scheme for adaptive mesh refinement based on summation-by-parts (SBP) finite difference methods and simultaneous-approximation-term (SAT) interface treatment. Since the order of accuracy at SBP-SAT…

Numerical Analysis · Mathematics 2019-03-05 Anna Nissen , Katharina Kormann , Magnus Grandin , Kristoffer Virta

Data augmentation plays a critical role in improving model performance across various domains, but it becomes challenging with graph data due to their complex and irregular structure. To address this issue, we propose EPIC (Edit Path…

Machine Learning · Computer Science 2025-06-05 Jaeseung Heo , Seungbeom Lee , Sungsoo Ahn , Dongwoo Kim

Interface problems depict many fundamental physical phenomena and widely apply in the engineering. However, it is challenging to develop efficient fully decoupled numerical methods for solving degenerate interface problems in which the…

Numerical Analysis · Mathematics 2023-06-06 Chen Fan , Zhiyue Zhang

Gait is one of the most promising biometrics to identify individuals at a long distance. Although most previous methods have focused on recognizing the silhouettes, several end-to-end methods that extract gait features directly from RGB…

Computer Vision and Pattern Recognition · Computer Science 2022-07-19 Junhao Liang , Chao Fan , Saihui Hou , Chuanfu Shen , Yongzhen Huang , Shiqi Yu
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