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Few-shot segmentation focuses on the generalization of models to segment unseen object instances with limited training samples. Although tremendous improvements have been achieved, existing methods are still constrained by two factors. (1)…

Computer Vision and Pattern Recognition · Computer Science 2021-10-26 Xianghui Yang , Bairun Wang , Kaige Chen , Xinchi Zhou , Shuai Yi , Wanli Ouyang , Luping Zhou

To alleviate the resource constraint for real-time point cloud applications that run on edge devices, in this paper we present BiPointNet, the first model binarization approach for efficient deep learning on point clouds. We discover that…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Haotong Qin , Zhongang Cai , Mingyuan Zhang , Yifu Ding , Haiyu Zhao , Shuai Yi , Xianglong Liu , Hao Su

Source localization based on electroencephalography (EEG) has become a widely used neuroimagining technique. However its precision has been shown to be very dependent on how accurately the brain, head and scalp can be electrically modeled…

Medical Physics · Physics 2020-04-22 Lyes Rahmouni , Adrien Merlini , Axelle Pillain , Francesco P. Andriulli

In this paper, the boundary element method is combined with Chebyshev operational matrix technique to solve two-dimensional multi-order time-fractional partial differential equations; nonlinear and linear in respect to spatial and temporal…

Analysis of PDEs · Mathematics 2020-03-31 Moein Khalighi , Mohammad Amirian Matlob , Alaeddin Malek

Consider the scattering of a time-harmonic plane wave by a rigid obstacle embedded in a homogeneous and isotropic elastic medium in two dimensions. In this paper, a novel boundary integral formulation is proposed and its highly accurate…

Numerical Analysis · Mathematics 2020-07-20 Heping Dong , Jun Lai , Peijun Li

Form-finding of unilateral membrane structures is commonly addressed by solving equilibrium equations with Finite Element Methods (FEMs). This paper investigates Physics-Informed Neural Networks (PINNs) as an alternative, where the…

Computational Engineering, Finance, and Science · Computer Science 2026-05-05 Luigi Sibille , Sigrid Adriaenssens , Carlo Olivieri

Neural operators aim to learn mappings between infinite-dimensional function spaces, but their performance often degrades on complex or irregular geometries due to the lack of geometry-aware representations. We propose the Finite Element…

Numerical Analysis · Mathematics 2026-02-03 Shiyuan Li , Hossein Salahshoor

The design, implementation and analysis of a free library for boundary element calculations is presented. The library is free in the sense of the GNU General Public Licence and is intended to allow users to solve a wide range of problems…

Computational Physics · Physics 2009-08-06 Michael Carley

A non-singular formulation of the boundary integral method (BIM) is presented for the Laplace equation whereby the well-known singularities that arise from the fundamental solution are eliminated analytically. A key advantage of this…

Numerical Analysis · Mathematics 2019-10-04 Q. Sun , E. Klaseboer , B. C. Khoo , D. Y. C. Chan

Given a social network with nonuniform selection cost of the users, the problem of \textit{Budgeted Influence Maximization} (BIM in short) asks for selecting a subset of the nodes within an allocated budget for initial activation, such that…

Social and Information Networks · Computer Science 2020-04-09 Suman Banerjee , Mamata Jenamani , Dilip Kumar Pratihar

This work addresses the scattering problem of an incident wave at a junction connecting two semi-infinite waveguides, which we intend to solve using Physics-Informed Neural Networks (PINNs). As with other deep learning-based approaches,…

Machine Learning · Computer Science 2024-04-16 W. Dörfler , M. Elasmi , T. Laufer

Physics-Informed Neural Networks (PINNs) solve partial differential equations (PDEs) by embedding governing equations and boundary/initial conditions into the loss function. However, enforcing Dirichlet boundary conditions accurately…

Machine Learning · Computer Science 2025-01-15 Nahil Sobh , Rini Jasmine Gladstone , Hadi Meidani

Modeling and simulating a power distribution network (PDN) for printed circuit boards (PCBs) with irregular board shapes and multi-layer stackup is computationally inefficient using full-wave simulations. This paper presents a new concept…

Machine Learning · Computer Science 2021-06-22 Ling Zhang , Jack Juang , Zurab Kiguradze , Bo Pu , Shuai Jin , Songping Wu , Zhiping Yang , Chulsoon Hwang

Regular pavement inspection plays a significant role in road maintenance for safety assurance. Existing methods mainly address the tasks of crack detection and segmentation that are only tailored for long-thin crack disease. However, there…

Computer Vision and Pattern Recognition · Computer Science 2020-11-10 Yujia Zhang , Qianzhong Li , Xiaoguang Zhao , Min Tan

This paper presents an improved immersed moving boundary model (IBM) for solving complex fluid-particle interactions in a coupled lattice Boltzmann method (LBM) and an adhesive discrete element method (DEM), using the "partially saturated…

Soft Condensed Matter · Physics 2020-10-21 Wenwei Liu , Chuan-Yu Wu

A boundary element method (BEM) simulation is used to compare the efficiency of numerical inverse Laplace transform strategies, considering general requirements of Laplace-space numerical approaches. The two-dimensional BEM solution is used…

Numerical Analysis · Mathematics 2016-07-20 Kristopher L. Kuhlman

Strongly coupled immersed boundary (IB) methods solve the nonlinear fluid and structural equations of motion simultaneously for strongly enforcing the no-slip constraint on the body. Handling this constraint requires solving several large…

Fluid Dynamics · Physics 2021-03-12 Nirmal Jayaprasad Nair , Andres Goza

This paper proposes a fast time-domain boundary element method (TDBEM) to solve three-dimensional transient electromagnetic scattering problems regarding perfectly electric conductors in the classical marching-on-in-time manner. The…

Computational Physics · Physics 2023-03-10 Toru Takahashi

2D image representations are in regular grids and can be processed efficiently, whereas 3D point clouds are unordered and scattered in 3D space. The information inside these two visual domains is well complementary, e.g., 2D images have…

Computer Vision and Pattern Recognition · Computer Science 2021-03-29 Wenbo Hu , Hengshuang Zhao , Li Jiang , Jiaya Jia , Tien-Tsin Wong

We study a symmetric BEM-FEM coupling scheme for the scattering of transient acoustic waves by bounded inhomogeneous anisotropic obstacles in a homogeneous field. An incident wave in free space interacts with the obstacles and produces a…

Numerical Analysis · Mathematics 2016-08-24 Matthew E. Hassell , Francisco-Javier Sayas
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