KRONECKER

作品数:99被引量:151H指数:6
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New low-rank optimization model and algorithms for spectral compressed sensing
《Science China Mathematics》2024年第10期2409-2432,共24页Zai Yang Xunmeng Wu Zongben Xu 
supported by National Natural Science Foundation of China (Grant Nos. 61977053 and 11922116)。
In this paper, we investigate the recovery of an undamped spectrally sparse signal and its spectral components from a set of regularly spaced samples within the framework of spectral compressed sensing and super-resol...
关键词:low-rank double Hankel model doubly enhanced matrix completion line spectral estimation spectral compressed sensing Kronecker's theorem 
A NONLOCAL KRONECKER-BASIS-REPRESENTATION METHOD FOR LOW-DOSE CT SINOGRAM RECOVERY
《Journal of Computational Mathematics》2024年第4期1080-1108,共29页Jian Lu Huaxuan Hu Yuru Zou Zhaosong Lu Xiaoxia Liu Keke Zu Lin Li 
supported by the National Natural Science Foundation of China(Grant Nos.U21A20455,61972265,11871348);by the Natural Science Foundation of Guangdong Province of China(Grant No.2020B1515310008);by the Department of Education of Guangdong Province of China(Grant No.2019KZDZX1007);by the PolyU internal Grant No.P0040271;by the Pazhou Laboratory,Guangzhou,China(Grant No.PZL2021KF0017);by the Guangdong Key Laboratory of Intelligent Information Processing,China.
Low-dose computed tomography(LDCT)contains the mixed noise of Poisson and Gaus-sian,which makes the image reconstruction a challenging task.In order to describe the statistical characteristics of the mixed noise,we ad...
关键词:Low-dose computed tomography Kronecker-basis-representation Low-rank imation.Noise-generating-mechanism 
大规模阵列Kronecker稳健波束形成器
《系统工程与电子技术》2024年第6期1847-1854,共8页王德伍 虞泓波 袁耀辉 廖胜男 陈燕 
针对大规模阵列对样本需求量大、计算复杂度高的问题,提出一种应用于大规模阵列的Kronecker自适应稳健波束形成器。首先,将期望信号导向矢量分解成两个导向矢量的Kronecker乘积,将原始导向矢量的失配问题转化为两个低维导向矢量的失配问...
关键词:大规模阵列 KRONECKER积 降维稳健波束形成器 双迭代算法 二阶锥规划 
3D Kronecker Convolutional Feature Pyramid for Brain Tumor Semantic Segmentation in MR Imaging
《Computers, Materials & Continua》2023年第9期2861-2877,共17页Kainat Nazir Tahir Mustafa Madni Uzair Iqbal Janjua Umer Javed Muhammad Attique Khan Usman Tariq Jae-Hyuk Cha 
supported by“Human Resources Program in Energy Technology”of the Korea Institute of Energy Technology Evaluation and Planning(KETEP),granted financial resources from theMinistry of Trade,Industry&Energy,Republic ofKorea(No.20204010600090).In addition,it was funded from the National Center of Artificial Intelligence(NCAI),Higher Education Commission,Pakistan,Grant/Award Number:Grant 2(1064).
Brain tumor significantly impacts the quality of life and changes everything for a patient and their loved ones.Diagnosing a brain tumor usually begins with magnetic resonance imaging(MRI).The manual brain tumor diagn...
关键词:Brain tumor segmentation connect component analysis deep learning kronecker convolution magnetic resonance imaging 
Recursive formulas for the Kronecker quantum cluster algebra with principal coefficients被引量:1
《Science China Mathematics》2023年第9期1933-1948,共16页Ming Ding Fan Xu Xueqing Chen 
supported by National Natural Science Foundation of China(Grant No.11771217);supported by National Natural Science Foundation of China(Grant No.12031007)。
We use the quantum version of Chebyshev polynomials to explicitly construct the recursive formulas for the Kronecker quantum cluster algebra with principal coefficients.As a byproduct,we obtain two barinvariant positi...
关键词:quantum cluster algebra cluster variable positive basis 
MIMO对流层散射信道建模研究
《电波科学学报》2023年第4期673-678,共6页张蕊 张利军 李磊 林乐科 赵振维 
国家自然科学基金(61971385,62101174)。
对流层散射信道特性对多输入多输出(multiple-input multiple-output,MIMO)对流层散射通信系统的设计和应用至关重要.针对现有文献进行信道建模时均是基于假设的衰落参数,无法反映真实对流层散射信道特性的问题,提出了一种考虑实际对流...
关键词:多输入多输出(MIMO) 对流层散射 传播预测 衰落特性 Kronecker模型 信道建模 
基于拉格朗日插值的无网格直接配点法和稳定配点法被引量:4
《力学学报》2023年第7期1526-1536,共11页胡明皓 王莉华 
国家自然科学基金资助项目(11972261,12272270)。
由于无网格法中大多数近似函数均为有理式,不具有Kronecker delta性质,因此难以精确地施加本质边界条件.边界误差较大容易导致整个求解域求解结果精度低,甚至引起数值不稳定现象.文章在无网格直接配点法和稳定配点法中引入拉格朗日插值...
关键词:拉格朗日插值配点法 拉格朗日插值稳定配点法 Kronecker delta性质 精确积分 精度 稳定性 
矩阵方程AXB = C的轮换极小范数最小二乘解
《理论数学》2022年第8期1360-1369,共10页曹煜喆 袁仕芳 
循环矩阵有悠久的历史并且在众多科学领域得到了广泛的应用。矩阵方程AXB=C在特定集合类的求解和最小化问题在工程等领域有重要的应用。本文通过矩阵的Kronecker积和Moore-Penrose广义逆得到了矩阵方程AXB=C有轮换解的充要条件和解的表...
关键词:轮换矩阵 极小范数解 最小二乘解 MOORE-PENROSE广义逆 Kronecker  
A Virtual Character and Nonzero Kronecker Coefficients for Self-conjugate Partitions
《Algebra Colloquium》2022年第2期321-340,共20页Xin Li 
supported by National Natural Science Foundation of China(Grant No.11801506 and Grant No.11626211).
We generalize Regev's results on a virtual character of the symmetric group S_(n),that is,an integer-combination of some irreducible characters.Suppose that λ and μ are integer partitions of n.For the associated irr...
关键词:symmetric group character Kronecker coefficient NEIGHBORHOOD hooklength diagram Schur function 
路和圈、圈和圈的Kronecker积图的超点连通性被引量:1
《新疆大学学报(自然科学版)(中英文)》2022年第2期176-181,共6页吴丽芸 田应智 
国家自然科学基金(11861066);新疆天山青年项目(2018Q066)。
如果图G的每一个最小点割都是某个点的邻点集,那么G是超点连通的,或者简称为是super-κ的.图G_(1)与G_(2)的Kronecker积图是一个点集为V(G_(1)×G_(2))=V(G_(1))×V(G_(2)),边集为E(G_(1)×G_(2))={(u_(1),v_(1))(u_(2),v_(2)):u_(1)u_...
关键词:KRONECKER积 点连通度 极大点连通性 超点连通性 
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