• 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of Intelligent Information Systems >Persistent entropy for separating topological features from noise in vietoris-rips complexes
【24h】

Persistent entropy for separating topological features from noise in vietoris-rips complexes

机译：持久熵，用于分离维托里斯-rips络合物中的拓扑特征和噪声

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

Persistent homology studies the evolution of k-dimensional holes along a nested sequence of simplicial complexes (called a filtration). The set of bars (i.e. intervals) representing birth and death times of k-dimensional holes along such sequence is called the persistence barcode. k-Dimensional holes with short lifetimes are informally considered to be topological noise, and those with long lifetimes are considered to be topological features associated to the filtration. Persistent entropy is defined as the Shannon entropy of the persistence barcode of the filtration. In this paper we present new important properties of persistent entropy of Vietoris-Rips filtrations. Later, using these properties, we derive a simple method for separating topological noise from features in Vietoris-Rips filtrations.
机译：持久同源性研究了沿简单复合物嵌套序列（称为过滤）的​​k维孔的演化。代表沿着这种顺序的k维孔的生与死时间的一组条形图（即间隔）称为持久性条形码。寿命短的k维孔被非正式地认为是拓扑噪声，寿命长的k维孔被认为是与过滤相关的拓扑特征。持久熵定义为过滤的持久条形码的香农熵。在本文中，我们介绍了Vietoris-Rips过滤的持久熵的新的重要性质。后来，利用这些属性，我们导出了一种简单的方法，可将Vietoris-Rips过滤中的特征与拓扑噪声分开。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号