搜索结果: 1-15 共查到“知识库 广义函数论”相关记录59条 . 查询时间(2.5 秒)
基于广义最小最大凹惩罚项的ISAR稀疏成像方法
ISAR 广义最小最大凹惩罚项 L1范数最小化
2019/4/18
介绍一种基于广义最小最大凹（generalized minimax concave，GMC）惩罚项的ISAR稀疏成像方法。该方法的惩罚项形式与L1范数最小化方法不同，不仅使最小二乘损失函数凸性最小，而且避免了L1范数最小化方法系统性幅值低估问题。通过仿真实验说明GMC算法在ISAR成像中的幅度保持特性。利用Yak-42飞机的实际数据进行ISAR成像，结果表明GMC算法在成像精度方面优势明显，具有更...
广义分布半群与退化发展方程的分布解
广义分布半群 分布解 退化发展方程
2018/3/9
在Banach空间中引进了由有界线性算子引导的广义分布半群的新概念，并讨论了它的有关性质.在我们的方法中，广义分布半群的生成元可以不是稠定的.此外，还引进了退化发展方程在Laplace变换意义下的分布解，应用广义分布半群给出了退化发展方程分布解的构造性表达式.
The Generalized Area Theorem and Some of its Consequences
Transmission of binary binary files
2015/8/21
There is a fundamental relationship between belief propagation and maximum a posteriori decoding. The case of transmission over the binary erasure channel was investigated in detail in a companion pap...
VARIANCE COMPONENTS AND GENERALIZED SOBOL' INDICES
VARIANCE COMPONENTS GENERALIZED SOBOL' INDICES
2015/8/21
This paper introduces generalized Sobol' indices, compares strategies for their estimation, and makes a systematic search for ecient estimators. Of particular interest are contrasts,
sums of squares...
On a Generalization of Blaschke’s Rolling Theorem and the Smoothing of Surfaces
Blaschke’s Rolling Theorem generalized convexity
2015/8/20
A generalization of Blaschke’s Rolling Theorem for not necessarily convex sets is proved that exhibits an
intimate connection between a generalized notion of convexity, various concepts in mathematic...
Solving interpolation problems via generalized eigenvalue minimization
Generalized eigenvalue interpolation control system the analysis of linear matrix inequality
2015/8/12
A number of problems in the analysis and design of control systems may be reformulated as the problem of minimizing the largest generalized eigenvalue of a pair of symmetric matrices which depend affi...
A distributed algorithm for fitting generalized additive models
Convex optimization Distributed optimization Generalized additive models
2015/8/7
Generalized additive models are an effective regression tool, popular in the statistics literature, that provide an automatic extension of traditional linear models to nonlinear systems. We pres...
Principal components analysis (PCA) is a well-known technique for approximating a data set represented by a matrix by a low rank matrix. Here, we extend the idea of PCA to handle arbitrary data sets c...
利用重合度理论, 研究一类具有偏差变元的三阶变时滞微分方程x(t)+∑2i=1［aix(i)(t)+bix(i)(t-τi(t))\]+cx(t)+g1(x(t))+g2(x(t-τ3(t)))=e(t)的T周期解问题, 得到了上述方程T周期解存在唯一性的若干结果, 所得结果与方程的3个时滞有关.
广义函数空间上Wilson型函数方程的稳定性
Wilson函数方程 广义函数 热方程的核 Hyers Ulam稳定性
2012/11/13
利用热方程的核, 通过广义函数正则化的方法给出Wilson函数方程在广义函数空间(包括缓增广义函数空间、 傅里叶超函数空间和Gelfand-Shilov广义函数空间)上的Hyers-Ulam稳定性, 并证明了在广义函数空间上Wilson函数方程的稳定性具有与一般函数空间上类似的结果.
利用不动点定理及分布HenstockKurzweil积分的性质, 研究Darboux问题最值解的存在性及最值解对广义函数的依赖性, 在广义导数下证明了Darboux问题最大最小解的存在性定理.
一类广义不变凸函数的最优性条件
弱有效解 广义不变凸函数 最优性条件
2012/11/13
通过在Banach空间上定义一类新的广义不变凸函数, 给出了这类函数的一些性质, 并在该类广义不变凸的条件下, 给出了目标函数是实值函数和向量函数的最优性必要条件及向量优化问题的充分必要条件.
Classes of generalized functions with finite type regularities
Classes of generalized finite type regularities
2011/1/18
We introduce and analyze spaces and algebras of gen-eralized functions which correspond to Sobolev, Zygmund and Hölder spaces of functions. The main scope of the paper is the characteri-
zation ...
Vortex Rings in Fast Rotating Bose-Einstein Condensates
Bose-Einstein Condensates Vortices Gross-Pitaevskii energy
2010/12/3
When Bose-Einstein condensates are rotated suciently fast, a giant vortex phase appears, that
is the condensate becomes annular with no vortices in the bulk but a macroscopic phase circulation aroun...
On the classical limit of quantum mechanics and the threat of fundamental graininess and chaos to the correspondence principle
classical limit of quantum mechanics threat of fundamental graininess correspondence principle
2010/12/16
The aim of this paper is to review the classical limit of Quantum
Mechanics and to precise the well known threat of chaos (and fundamental graininess) to the correspondence principle. We will introdu...