Topological analysis of data

Topological analysis of data
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DOI:
10.1140/epjds/s13688-017-0104-x
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发表时间:
2017-06-06
期刊:
影响因子:
3.6
通讯作者:
Petri, Giovanni
Petri, Giovanni
中科院分区:
计算机科学3区
文献类型:
--
作者:
Patania, Alice;Vaccarino, Francesco;Petri, Giovanni

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在技术和数据集快速发展的推动下,数据科学正在迅速发展。在此背景下,拓扑数据分析(TDA)为分析呈现复杂交互和丰富结构的数据集开辟了一个利基市场。其独特的拓扑特性使TDA能够检测、量化和比较数据的介观结构,同时还提供了一种能够对网络之外的交互进行编码的语言。在这里,我们简要介绍了TDA范式和一些应用,以突出其与数据科学界的相关性。
Propelled by a fast evolving landscape of techniques and datasets, data science is growing rapidly. Against this background, topological data analysis (TDA) has carved itself a niche for the analysis of datasets that present complex interactions and rich structures. Its distinctive feature, topology, allows TDA to detect, quantify and compare the mesoscopic structures of data, while also providing a language able to encode interactions beyond networks. Here we briefly present the TDA paradigm and some applications, in order to highlight its relevance to the data science community.