Výsledky vyhledávání - computational methods for sparse matrices

Symbolic algorithm for solving SLAEs with multi-diagonal coefficient matrices Autor Milena, Veneva

“…Systems of linear algebraic equations with multi-diagonal coefficient matrices may arise after many different scientific and engineering problems, as well as problems of the computational linear…”
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Graph coloring in the estimation of sparse derivative matrices : Instances and applicaflons: Computational methods for graph coloring and its generalizations Autor HOSSAIN, Shahadat, STEIHAUG, Trond

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An Efficient Quasi-Newton Method with Tensor Product Implementation for Solving Quasi-Linear Elliptic Equations and Systems Autor Hao, Wenrui, Lee, Sun, Zhang, Xiangxiong

“… By approximating the Jacobian matrix with a combination of linear Laplacian and simplified nonlinear terms, our method reduces the computational overhead typical of traditional Newton methods…”
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Heterogeneous Implementation of Preconditioners Based on Gauss–Seidel Method for Sparse Block Matrices Autor Magomedov, A. R., Gorobets, A. V.

“…–Seidel method and its transferable heterogeneous software implementation using the OpenCL computational standard…”
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Superresolution of Radar Forward-Looking Imaging Based on Accelerated TV-Sparse Method Autor Zhang, Yin, Zhang, Qiping, Zhang, Yongchao, Huang, Yulin, Yang, Jianyu

“… In this article, an Gohberg-Semencul (GS) decomposition-based fast TV-sparse (FTV-sparse) method is proposed to reduce the computational complexity of TV-sparse method…”
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Enhancing Hi-C contact matrices for loop detection with Capricorn: a multiview diffusion model Autor Fang, Tangqi, Liu, Yifeng, Woicik, Addie, Lu, Minsi, Jha, Anupama, Wang, Xiao, Li, Gang, Hristov, Borislav, Liu, Zixuan, Xu, Hanwen, Noble, William S, Wang, Sheng

“… Simultaneously, chromatin structure analyses struggle with extremely sparse contact matrices. To address this problem, computational methods to enhance low-coverage contact…”
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MATGEN: A REALISTIC SPARSE MATRIX GENERATOR USING SIGNAL PROCESSING AND IMAGE PROCESSING METHODS Autor PAMUK, ALI EMRE, KAPLAN, FARUK, SUHAIL, YOUSIF, ALTEKIN, MERT, TORUN, FAHREDDIN SUKRU

“…The limited size of publicly available sparse matrix datasets creates a significant challenge for benchmarking, testing, and validating algorithms in scientific computing, artificial intelligence…”
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Sparse EEG Source Localization Using LAPPS: Least Absolute l-P (0<p<1) Penalized Solution Autor Bore, Joyce Chelangat, Xu, Peng, Yi, Chanlin, Li, Peiyang, Li, Fali, Harmah, Dennis Joe, Si, Yajing, Guo, Daqing, Yao, Dezhong, Wan, Feng

“… Apart from the strong background activities (ongoing EEG), evoked EEG is also inevitably contaminated by strong outliers caused by head movements or ocular movements during recordings. Methods…”
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Fitting linear mixed models using sparse matrix methods and Lanczos factorization Autor Mahjani, Behrang, Rönnegård, Lars, Eldén, Lars

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Efficient Matrix Sparse Recovery STAP Method Based on Kronecker Transform for BiSAR Sea Clutter Suppression Autor Li, Junao, Li, Zhongyu, Yang, Qing, Pi, Haozhuo, Wang, Yahui, An, Hongyang, Wu, Junjie, Yang, Jianyu

“…) The computational complexity is exceedingly high. To issue these problems, an efficient matrix sparse recovery STAP (MSR-STAP…”
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Fast Parabolic Wave Equation-Based Time-of-Arrival Estimation Exploiting Sparse Matrices Autor Qin, Hao, Zhang, Xingqi, Hou, Weibin, Zhang, Xinyue

“… By integrating processes for extracting primary Fourier coefficients and designing sparse matrices, our method achieves notable computational efficiency, rendering it highly suitable for real-time applications…”
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Two-Dimensional DOA estimation via matrix completion and sparse matrix recovery for coprime planar array Autor Liu, Donghe, Zhao, Yongbo

“… In order to solve this issue, a two-dimensional (2-D) directional of arrival (DOA) estimation algorithm with CPPA via matrix completion and sparse matrix recovery is proposed in this paper…”
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Efficient Blind Source Separation Method for fMRI using Autoencoder and Spatiotemporal Sparsity Constraints Autor Khalid, Muhammad Usman, Khawaja, Bilal A., Nauman, Malik Muhammad

“…Diversity measures exploited by blind source separation (BSS) methods are usually based on either statistical attributes/geometrical structures or sparse/overcomplete (underdetermined…”
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Multilevel Semiparametric Latent Variable Modeling in R with "galamm" Autor Sørensen, Øystein

“… Implementation using sparse matrix methods and automatic differentiation ensures computational efficiency…”
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An accurate and efficient Chebyshev expansion method for large-scale transient heat conduction problems Autor Gao, Q., Nie, C.B.

“…•An efficient method is proposed for large-scale heat conduction problems.•The matrix exponential is approximated with Chebyshev matrix polynomials…”
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MultiAIM: Fast Electromagnetic Analysis of Multiscale Structures Using Boundary Element Methods Autor Li, Yongzhong, Marek, Damian, Triverio, Piero

“…Integral equation methods are extensively used for computational electromagnetism, and can be applied to large problems when accelerated with fast multipole or fast Fourier transform (FFT) techniques…”
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Fast Dictionary Learning for High-Dimensional Seismic Reconstruction Autor Wang, Hang, Chen, Wei, Zhang, Quan, Liu, Xingye, Zu, Shaohuan, Chen, Yangkang

“…A sparse dictionary is more adaptive than a sparse fixed-basis transform since it can learn the features directly from the input data in a data-driven way…”
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FMCW SAR Sparse Imaging Based on Approximated Observation: An Overview on Current Technologies Autor Bi, Hui, Zhu, Daiyin, Bi, Guoan, Zhang, Bingchen, Hong, Wen, Wu, Yirong

“… However, restricted by the computational cost, conventional FMCW SAR sparse imaging method based on observation matrix is not able to achieve the large-scale scene reconstruction, not to mention real-time processing…”
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Fast Method for Accelerating Convergence of Iterative Partial Differential Equation Solvers by Changing System Matrix to Laplacian Counterpart Autor Xue, Li, Jiao, Dan

“…In this work, we find that the matrix representing the curl-curl operator in a partial differential equation solver of Maxwell's equations can be analytically decomposed into a gradient divergence…”
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Analytical and numerical studies of the boundary slip in the immersed boundary‐thermal lattice Boltzmann method Autor Seta, Takashi, Hayashi, Kosuke, Tomiyama, Akio

“… The analytical and numerical solutions demonstrate that the proposed iterative correction methods without the computational cost of the sparse matrix solver reduce the boundary slip and boundary…”
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