##  [Topological Data Analysis](/topological-data-analysis) 

  ##  [Topological Data Analysis](https://puremath.quantumdictionary.io/topological-data-analysis-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An applied area that uses topological tools—especially persistent homology and constructions like Mapper—to extract multiscale shape and connectivity features from high-dimensional, noisy data and to summarize those features for analysis and machine learning.