Topological data analysis

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Pythagoras0 (토론 | 기여)님의 2021년 2월 17일 (수) 01:56 판
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  • Topological data analysis (TDA) is an emerging concept of data analysis for characterizing shape of data.[1]
  • Topological data analysis (TDA) is a field of mathematics which deals with qualitative geometric features to analyze datasets.[2]
  • We demonstrate the utility of topological data analysis combined with MC and present its merits and disadvantages.[3]
  • The emerging area of topological data analysis (TDA) is a promising avenue of research to answer the challenge.[4]
  • Chung is a leading expert of Topological Data analysis and has published more than 20 peer reviewed papers on this topic.[4]
  • Wang is a leading expert on Topological Data Analysis in signal processing, particularly in electroencephalographic signals.[4]
  • The newly-emerging domain comprising topology-based techniques is often referred to as topological data analysis (TDA).[5]
  • In applied mathematics, topological data analysis (TDA) is an approach to the analysis of datasets using techniques from topology.[6]
  • One way to apply statistics to topological data analysis is to study the statistical properties of topological features of point clouds.[6]
  • Topological data analysis and persistent homology have had impacts on Morse theory.[6]
  • Towards a new approach to reveal dynamical organization of the brain using topological data analysis.[7]
  • But around this same time I kept hearing about an exciting but possibly over-hyped topic called topological data analysis: TDA.[8]
  • In this article, I’ll specifically break down what Topological Data Analysis is and how to think about it.[9]
  • How is Topology related to Topological Data Analysis?[9]
  • These aspects are all essential in the field of Persistent Homology, which is the main tool that Topological Data Analysis is inspired by.[9]
  • Topological data analysis reveals the structure of data.[10]
  • This is a very important work that shows the way to applications of topological data analysis in genomics.[10]
  • 27, topological data analysis (TDA) has emerged as a valuable tool for characterizing collective behavior and self-organization.[11]

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  • [{'LOWER': 'topological'}, {'LOWER': 'data'}, {'LEMMA': 'analysis'}]