Winner-Relaxing and Winner-Enhancing Kohonen Maps: Maximal Mutual Information from Enhancing the Winner

Jens Christian Claussen

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Winner-Relaxing and Winner-Enhancing Kohonen Maps: Maximal Mutual Information from Enhancing the Winner

机译：获胜者放松和增强获胜者的Kohonen地图：增强获胜者的最大互惠信息

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摘要

The magnification behavior of a generalized family of self-organizing feature maps, the winner relaxing and winner enhancing Kohonen algorithms is analyzed by the magnification law in the one-dimensional case, which can be obtained analytically. The winner-enhancing case allows to achieve a magnification exponent of one and therefore provides optimal mapping in the sense of information theory. A numerical verification of the magnification law is included, and the ordering behavior is analyzed. Compared to the original self-organizing map and some other approaches, the generalized winner enforcing algorithm requires minimal extra computations per learning step and is conveniently easy to implement.

机译：在一维情况下，通过放大定律分析了广义自组织特征图族的放大行为，获胜者放松和获胜者增强Kohonen算法，可以通过解析获得。获胜者增强案例可以实现一个放大倍数，因此在信息论的意义上提供了最佳映射。包含放大率定律的数值验证，并分析了订购行为。与原始的自组织图和其他一些方法相比，广义优胜者强制算法每个学习步骤所需的额外计算量最少，并且易于实现。

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《Complexity》 |2003年第4期|共8页
作者
Jens Christian Claussen;
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原文格式 PDF
正文语种 eng
中图分类高等数学;
关键词
self-organizing maps; Kohonen algorithm; mutual information; magnification exponent;

机译：自组织图;Kohonen算法;互信息;放大倍数;

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专利

1. Winner-Relaxing and Winner-Enhancing Kohonen Maps: Maximal Mutual Information from Enhancing the Winner [J] . Jens Christian Claussen Complexity . 2003,第4期

机译：获胜者放松和增强获胜者的Kohonen地图：增强获胜者的最大互惠信息
2. APLICACIóN DE MAPAS DE KOHONEN PARA LA PRIORIZACIóN DE ZONAS DE MERCADO: UNA APROXIMACIóN PRáCTICA↓APLICA??O DE MAPAS DE KOHONEN PARA A PRIORIZA??O DE áREAS DE MARCADO: UMA APROXIMA??O PRáTICA [J] . Gámez Albán Harol Mauricio, Orejuela Cabrera Juan Pablo, Salas Achipiz óscar Ancízar, Revista EIA . 2016,第25期

机译：柯南地图在市场区域优先化中的应用：一种实用方法↓柯南地图在市场区域优先化中的应用：一种方法
3. Application of kohonen self organized feature maps in QSAR of human ADMET and kinase data sets [Kohonen-féle ?nszervezo{combining double acute accent}do{combining double acute accent} tulajdonságtérkép használata humán ADMET és kináz adatok QSAR predikciójában] [J] . Hegymegi-BarakonyiB., OrfiL., KériG., Acta Pharmaceutica Hungarica . 2013,第4期

机译：Kohonen自组织特征图在人ADMET和激酶数据集的QSAR中的应用
4. Enhancing the reactive capabilities of integrated planning and control with Cooperative Extended Kohonen Maps [C] . Kian Hsiang Low, Wee Kheng Leow, Ang M.H. Jr. Robotics and Automation, 2003. Proceedings. ICRA '03. IEEE International Conference on . 2003

机译：使用协作扩展Kohonen地图增强集成计划和控制的反应能力
5. Application of linear genetic programming in conjunction with Kohonen's self-organizing map and ensemble empirical mode decomposition for improved streamflow prediction at lock and dam 10 along the Kentucky River approved [D] . Barge, Jonathan T. 2015

机译：将线性遗传规划与Kohonen的自组织图和整体经验模式分解相结合的应用，以改进沿肯塔基河的闸门和大坝10的水流预测
6. Application of Kohonens self-organizing feature map algorithm to cortical maps of orientation and direction preference [O] . N. V. Swindale, H.-U. Bauer 1998

机译：Kohonen的自组织特征图算法在取向和方向偏好的皮层图中的应用
7. Winner-relaxing and winner-enhancing Kohonen maps: Maximal mutual information from enhancing the winner [O] . Claussen, Jens Christian 2006

机译：赢家放松和赢家增强Kohonen地图：最大相互增强获胜者的信息
8. Ischemia Detection Using Supervised Learning for Hierarchical Neural Networks Based on Kohonen-Maps. [R] . Vladutu, L., Papadimitriou, S., Mauroudi, S., 2001

机译：基于Kohonen-maps的分层神经网络监督学习缺血检测。

Winner-Relaxing and Winner-Enhancing Kohonen Maps: Maximal Mutual Information from Enhancing the Winner

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