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Topological data analysis (TDA) is a data‐driven approach that involves the study of high‐dimensional data without any assumptions or feature selections. For many complex data sets, especially rail track monitoring, the number of possible hypotheses is very large, and the talk of generating useful ones becomes extremely difficult. The data can be streamed in high dimensions, which can cause the “curse of dimensionality” problems. There is a need to extract robust, qualitative information and gain insight into the processes that generated the data in the first place. TDA is more effective in detecting large and small patterns in data compared with traditional principal component analysis (PCA) or cluster analysis. The aim of persistent homology is to measure the lifetime of certain topological properties of a simplicial complex when simplices are added or removed from it. TDA has unlimited applications in: axle box acceleration analysis; and other signal processing applications.
Topological data analysis (TDA) is a data‐driven approach that involves the study of high‐dimensional data without any assumptions or feature selections. For many complex data sets, especially rail track monitoring, the number of possible hypotheses is very large, and the talk of generating useful ones becomes extremely difficult. The data can be streamed in high dimensions, which can cause the “curse of dimensionality” problems. There is a need to extract robust, qualitative information and gain insight into the processes that generated the data in the first place. TDA is more effective in detecting large and small patterns in data compared with traditional principal component analysis (PCA) or cluster analysis. The aim of persistent homology is to measure the lifetime of certain topological properties of a simplicial complex when simplices are added or removed from it. TDA has unlimited applications in: axle box acceleration analysis; and other signal processing applications.
Topological Data Analysis
Attoh‐Okine, Nii O. (author)
Big Data and Differential Privacy ; 197-205
2017-06-26
9 pages
Article/Chapter (Book)
Electronic Resource
English
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