An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists.

An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists.
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DOI:
10.3389/frai.2021.667963
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发表时间:
2021
影响因子:
4
通讯作者:
Michel B
Michel B
中科院分区:
其他
文献类型:
--
作者:
Chazal F;Michel B

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随着最近可用数据的数量、种类和维度的爆炸式增长,识别、提取和利用其底层结构已成为数据分析和统计学习的一个至关重要的问题。拓扑数据分析(tda)是一个新兴的快速发展的领域,它提供了一套新的拓扑和几何工具来推断可能复杂的数据的相关特征。它提出了新的有根据的数学理论和计算工具,可以独立使用或与其他数据分析和统计学习技术结合使用。这篇文章是一个简短的介绍,通过几个选定的主题,以tda的基本原理和实践方面的非专家。
With the recent explosion in the amount, the variety, and the dimensionality of available data, identifying, extracting, and exploiting their underlying structure has become a problem of fundamental importance for data analysis and statistical learning. Topological data analysis (tda) is a recent and fast-growing field providing a set of new topological and geometric tools to infer relevant features for possibly complex data. It proposes new well-founded mathematical theories and computational tools that can be used independently or in combination with other data analysis and statistical learning techniques. This article is a brief introduction, through a few selected topics, to basic fundamental and practical aspects of tda for nonexperts.
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