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Tensor CANDECOMP/PARAFAC (CP) decomposition is an important tool that solves a wide class of machine learning problems. Existing popular approaches recover components one by one, not necessarily in the order of larger components first.…

机器学习 · 统计学 2020-01-01 Furong Huang , Jialin Li , Xuchen You

Next-generation communication systems with wide bandwidths need to operate in interference-limited networks. A discrete-time delay (TD) technique in a baseband receiver array is proposed for canceling wide modulated bandwidth spatial…

信号处理 · 电气工程与系统科学 2019-08-05 Erfan Ghaderi , Ajith Ramani , Arya Rahimi , Sudip Shekhar , Subhanshu Gupta

Micromagnetics simulations require accurate approximation of the magnetization dynamics described by the Landau-Lifshitz-Gilbert equation, which is nonlinear, nonlocal, and has a non-convex constraint, posing interesting challenges in…

计算物理 · 物理学 2020-01-08 Changjian Xie , Carlos J. García-Cervera , Cheng Wang , Zhennan Zhou , Jingrun Chen

We propose a novel Hadamard integrator for the self-adjoint time-dependent wave equation in an inhomogeneous medium. First, we create a new asymptotic series based on the Gelfand-Shilov function, dubbed Hadamard's ansatz, to approximate the…

数值分析 · 数学 2023-08-29 Yuxiao Wei , Jin Cheng , Robert Burridge , Jianliang Qian

In this paper, we propose a trigonometric-interpolation approach for solutions of second order nonlinear ODEs with mixed boundary conditions. The method interpolates secondary derivative $y''$ of a target solution $y$ by a trigonometric…

数值分析 · 数学 2025-04-29 Xiaorong Zou

In this paper, we propose a new algorithm for the estimation of multiple time delays (TDs). Since a TD is a fundamental spatial cue for sensor array signal processing techniques, many methods for estimating it have been studied. Most of…

信号处理 · 电气工程与系统科学 2022-03-24 Kouei Yamaoka , Yukoh Wakabayashi , Nobutaka Ono

Unconventional superconductors have Cooper pairs with lower symmetries than in conventional superconductors. In most unconventional superconductors, the additional symmetry breaking occurs in relation to typical ingredients such as strongly…

Successive quadratic approximations, or second-order proximal methods, are useful for minimizing functions that are a sum of a smooth part and a convex, possibly nonsmooth part that promotes regularization. Most analyses of iteration…

最优化与控制 · 数学 2019-01-25 Ching-pei Lee , Stephen J. Wright

The detection of moving infrared dim-small targets has been a challenging and prevalent research topic. The current state-of-the-art methods are mainly based on ConvLSTM to aggregate information from adjacent frames to facilitate the…

计算机视觉与模式识别 · 计算机科学 2024-07-11 Dengyan Luo , Yanping Xiang , Hu Wang , Luping Ji , Shuai Li , Mao Ye

In this paper, an alternating direction implicit (ADI) difference scheme for two-dimensional time-fractional wave equation of distributed-order with a nonlinear source term is presented. The unique solvability of the difference solution is…

数值分析 · 数学 2017-04-11 Jiahui Hu , Jungang Wang , Zhanbin Yuan , Zongze Yang , Yufeng Nie

In this paper, we apply the practical GADI-HS iteration as a smoother in algebraic multigrid (AMG) method for solving second-order non-selfadjoint elliptic problem. Additionally, we prove the convergence of the derived algorithm and…

数值分析 · 数学 2025-12-08 Juan Zhang , Junyue Luo

Dirac $\delta-$ distributionally sourced differential equations emerge in many dynamical physical systems from machine learning, finance, neuroscience, and seismology to black hole perturbation theory. These systems lack exact analytical…

广义相对论与量子宇宙学 · 物理学 2024-11-22 Lidia J. Gomes Da Silva

In this paper a new distributed asynchronous algorithm is proposed for time synchronization in networks with random communication delays, measurement noise and communication dropouts. Three different types of the drift correction algorithm…

系统与控制 · 计算机科学 2018-02-05 Milos S. Stankovic , Srdjan S. Stankovic , Karl Henrik Johansson

Iterative decoding was not originally introduced as the solution to an optimization problem rendering the analysis of its convergence very difficult. In this paper, we investigate the link between iterative decoding and classical…

信息论 · 计算机科学 2010-01-13 Florence Alberge , Ziad Naja , P. Duhamel

An algorithm for a family of self-starting high-order implicit time integration schemes with controllable numerical dissipation is proposed for both linear and nonlinear transient problems. This work builds on the previous works of the…

数值分析 · 数学 2024-09-23 Daniel O'Shea , Xiaoran Zhang , Shayan Mohammadian , Chongmin Song

In this work, we develop a novel fault detection and isolation (FDI) scheme for discrete-time two-dimensional (2D) systems that are represented by the Fornasini-Marchesini model II (FMII). This is accomplished by generalizing the basic…

系统与控制 · 计算机科学 2016-09-20 Amir Baniamerian , Nader Meskin , Khashayar Khorasani

In this article, a posteriori error analysis is developed for mixed finite element Galerkin approximations to a second order linear hyperbolic equation. Based on mixed elliptic reconstructions and an integration tool, which is a variation…

数值分析 · 数学 2017-01-10 Samir Karaa , Amiya K. Pani

An error analysis of trigonometric integrators (or exponential integrators) applied to spatial semi-discretizations of semilinear wave equations with periodic boundary conditions in one space dimension is given. In particular, optimal…

数值分析 · 数学 2015-02-03 Ludwig Gauckler

Existence and spatio-temporal symmetric patterns of periodic solutions to second order reversible equivariant non-autonomous periodic systems with multiple delays are studied under the Hartman-Nagumo growth conditions. The method is based…

动力系统 · 数学 2020-06-01 Zalman Balanov , Wieslaw Krawcewicz , Norimichi Hirano , Xiaoli Ye

Network tomography aims at estimating source-destination traffic rates from link traffic measurements. This inverse problem was formulated by Vardi in 1996 for Poisson traffic over networks operating under deterministic as well as random…

性能 · 计算机科学 2020-12-15 Hanoch Lev-Ari , Yariv Ephraim , Brian L. Mark