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Topological Data Analysis

update:2018-12-10
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Features
We study theory and applications of topological data analysis (TDA). TDA is a relatively new framework of data analysis which characterizes "shape of data" in multi-scale fashion. In particular, persistent homology is one of the most powerful tool in TDA and we have developed some extensions and generalizations of persistent homology for practical applications to materials, life, and information sciences.

Targeted Application(s)/Industry


Researchers

Advanced Institute for Materials Research

HIRAOKA, Yasuaki , Professor
Doctor of Science

Keywords

Related Information

Y. Hiraoka, T. Nakamura, A. Hirata, E. G. Escolar, K. Matsue, and Y. Nishiura. Hierarchical structures of amorphous solids characterized by persistent homology. Proceedings of the National Academy of Sciences of the United States of America 113 (2016), 7035–7040.

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