Unified stabilization approach to principal and minor components extraction algorithms.

Chen T; Amari S

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Unified stabilization approach to principal and minor components extraction algorithms.

机译：主成分和次成分提取算法的统一稳定方法。

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摘要

Principal component and minor component extractions provide powerful techniques in many information processing fields. There have been proposed a number of algorithms for principal and minor component (or subspace) extraction, which have different dynamical behaviors. In this paper, we give rigorous stability analysis of these algorithms, obtaining a unified insight view on the dynamical behaviors of various algorithms.

机译：主成分和次要成分提取在许多信息处理领域提供了强大的技术。已经提出了许多用于主成分和次成分（或子空间）提取的算法，它们具有不同的动态行为。在本文中，我们对这些算法进行了严格的稳定性分析，从而获得了对各种算法的动态行为的统一见解。

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《Neural Networks: The Official Journal of the International Neural Network Society》 |2001年第10期|共11页
作者
Chen T; Amari S;
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正文语种 eng
中图分类神经病学;
关键词
seconds; Algorithms; Teaching principal; Chemical extraction; Assault by stabbing; 算法;

机译：秒;算法;教学原理;化学提取;刺伤;算法;

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专利

1. Unified stabilization approach to principal and minor components extraction algorithms. [J] . Chen T, Amari S Neural Networks: The Official Journal of the International Neural Network Society . 2001,第10期

机译：主成分和次成分提取算法的统一稳定方法。
2. Unified and Coupled Self-Stabilizing Algorithms for Minor and Principal Eigen-pairs Extraction [J] . Feng Xiaowei, Kong Xiangyu, Ma Hongguang, Neural processing letters . 2017,第1期

机译：统一和耦合自稳定算法，用于次要和主要特征对的提取
3. A Unified Self-Stabilizing Neural Network Algorithm for Principal Takagi Component Extraction [J] . Maolin Che, Xuezhong Wang, Yimin Wei Neural processing letters . 2020,第1期

机译：高木主成分提取的统一自稳定神经网络算法
4. New Algorithms for Principal Components and Minor Components Extraction [C] . Tian-Ping Chen, Qing Lin International conference on neural information processing;ICONIP'97;Australian and New Zealand conference on intelligent information systems;ANZIIS'97;New Zealand international conference on artificial neural networks and expert systems;ANNES'97 . 1998

机译：主成分和次要成分提取的新算法
5. Instability in principal component analysis: Forming a consensus principal component from multiple sample principal components. [D] . Spurgin, William D. 2016

机译：主成分分析中的不稳定性：由多个样本主成分组成一个共识主成分。
6. Principal Component Analysis Based Feature Extraction Approach to Identify Circulating microRNA Biomarkers [O] . Y-h. Taguchi, Yoshiki Murakami -1

机译：基于主成分分析的特征提取方法识别循环微RNA生物标志物
7. Analysis of Dynamical Systems for Generalized Principal and Minor Component Extraction [O] . Mohammed A. Hasan 2015

机译：广义主成分提取的动力系统分析

Unified stabilization approach to principal and minor components extraction algorithms.

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