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The Sherman-Woodbury-Morrison (SWM) formula gives an explicit formula for the inverse perturbation of a matrix in terms of the inverse of the original matrix and the perturbation. This formula is useful for numerical applications. We have…

环与代数 · 数学 2016-10-21 Cody Palmer

Sparse general matrix multiplication (SpGEMM) is a fundamental building block in numerous scientific applications. One critical task of SpGEMM is to compute or predict the structure of the output matrix (i.e., the number of nonzero elements…

分布式、并行与集群计算 · 计算机科学 2022-07-29 Zhaoyang Du , Yijin Guan , Tianchan Guan , Dimin Niu , Nianxiong Tan , Xiaopeng Yu , Hongzhong Zheng , Jianyi Meng , Xiaolang Yan , Yuan Xie

In this paper, a physics-informed multiresolution wavelet neural network (PIMWNN) method is proposed for solving partial differential equations (PDEs). This method uses the multiresolution wavelet neural network (MWNN) to approximate…

数值分析 · 数学 2025-08-12 Feng Han , Jianguo Wang , Guoliang Peng , Xueting Shi

The (non-uniform) sparsest cut problem is the following graph-partitioning problem: given a "supply" graph, and demands on pairs of vertices, delete some subset of supply edges to minimize the ratio of the supply edges cut to the total…

数据结构与算法 · 计算机科学 2021-06-01 Vincent Cohen-Addad , Anupam Gupta , Philip N. Klein , Jason Li

In this paper we propose a fast optimization algorithm for approximately minimizing convex quadratic functions over the intersection of affine and separable constraints (i.e., the Cartesian product of possibly nonconvex real sets). This…

最优化与控制 · 数学 2015-09-29 Reza Takapoui , Nicholas Moehle , Stephen Boyd , Alberto Bemporad

Though switched dynamical systems have shown great utility in modeling a variety of physical phenomena, the construction of an optimal control of such systems has proven difficult since it demands some type of optimal mode scheduling. In…

最优化与控制 · 数学 2014-02-04 Ramanarayan Vasudevan , Humberto Gonzalez , Ruzena Bajcsy , S. Shankar Sastry

Modelling multivariate systems is important for many applications in engineering and operational research. The multivariate distributions under scrutiny usually have no analytic or closed form. Therefore their modelling employs a numerical…

统计计算 · 统计学 2021-09-08 Carol Alexander , Xiaochun Meng , Wei Wei

We extend a template-based approach for synthesizing switching controllers for semi-algebraic hybrid systems, in which all expressions are polynomials. This is achieved by combining a QE (quantifier elimination)-based method for generating…

系统与控制 · 计算机科学 2013-04-04 Deepak Kapur , Naijun Zhan , Hengjun Zhao

This paper presents a range of methods to improve the accuracy of equation-based thermal models of PV modules at second-to-minute timescales. We present an RC-equivalent conceptual model for PV modules, where wind effects are captured. We…

系统与控制 · 电气工程与系统科学 2023-01-11 Bert Herteleer , Anastasios Kladas , Gofran Chowdhury , Francky Catthoor , Jan Cappelle

Owing to the edge preserving ability and low computational cost of the total variation (TV), variational models with the TV regularization have been widely investigated in the field of multiplicative noise removal. The key points of the…

计算机视觉与模式识别 · 计算机科学 2015-03-18 Dai-Qiang Chen , Li-Zhi Cheng

The dynamic behavior of jointed assemblies exhibiting friction nonlinearities features amplitude-dependent dissipation and stiffness. To develop numerical simulations for predictive and design purposes, macro-scale High Fidelity Models…

计算工程、金融与科学 · 计算机科学 2022-04-27 Ahmed Amr Morsy , Mariella Kast , Paolo Tiso

Linear regression with shuffled labels and with a noisy latent design matrix arises in many correspondence recovery problems. We propose a total least-squares approach to the problem of estimating the underlying true permutation and provide…

统计理论 · 数学 2022-09-05 Qian Wang , Daniel Sussman

We consider the precedence-constrained scheduling problem to minimize the total weighted completion time. For a single machine several $2$-approximation algorithms are known, which are based on linear programming and network flows. We show…

数据结构与算法 · 计算机科学 2023-09-22 Sven Jäger , Philipp Warode

An S band SLED-type pulse compressor has been manufactured by IHEP to challenge the 100 MW maximum input power, which means the output peak power is about 500 MW at the phase reversal time. In order to deal with the RF breakdown problem,…

加速器物理 · 物理学 2016-08-03 G. Shu , F. Zhao , S. Pei , O. Xiao

Finding a sparse representation of a possibly noisy signal can be modeled as a variational minimization with l_q-sparsity constraints for q less than one. Especially for real-time, on-line, or iterative applications, in which problems of…

数值分析 · 数学 2017-09-04 Martin Ehler

This paper presents a novel algorithm for recovering missing data of phasor measurement units (PMUs). Due to the low-rank property of PMU data, missing measurement recovery can be formulated as a low-rank matrix-completion problem. Based on…

数值分析 · 计算机科学 2017-11-09 Mang Liao , Di Shi , Zhe Yu , Wendong Zhu , Zhiwei Wang , Yingmeng Xiang

In this report, a novel efficient algorithm for recovery of jointly sparse signals (sparse matrix) from multiple incomplete measurements has been presented, in particular, the NESTA-based MMV optimization method. In a nutshell, the jointly…

信息论 · 计算机科学 2009-05-21 Lianlin Li , Fang Li

The relative root mean squared errors (RMSE) of nonparametric methods for spectral estimation is compared for microwave scattering data of plasma fluctuations. These methods reduce the variance of the periodogram estimate by averaging the…

应用统计 · 统计学 2019-11-15 Kurt S. Riedel , Alexander Sidorenko , David J. Thomson

The field-circuit coupled simulation of switch-mode power converters with conventional time discretization is computationally expensive since very small time steps are needed to appropriately account for steep transients occurring inside…

计算工程、金融与科学 · 计算机科学 2019-07-09 Andreas Pels , Herbert De Gersem , Ruth V. Sabariego , Sebastian Schöps

We propose two quantum algorithms for a problem in bioinformatics, position weight matrix (PWM) matching, which aims to find segments (sequence motifs) in a biological sequence such as DNA and protein that have high scores defined by the…

量子物理 · 物理学 2023-03-08 Koichi Miyamoto , Naoki Yamamoto , Yasubumi Sakakibara