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Topological Data Analysis with Applications (Hardcover)
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Topological Data Analysis with Applications (Hardcover)
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The continued and dramatic rise in the size of data sets has meant
that new methods are required to model and analyze them. This
timely account introduces topological data analysis (TDA), a method
for modeling data by geometric objects, namely graphs and their
higher-dimensional versions: simplicial complexes. The authors
outline the necessary background material on topology and data
philosophy for newcomers, while more complex concepts are
highlighted for advanced learners. The book covers all the main TDA
techniques, including persistent homology, cohomology, and Mapper.
The final section focuses on the diverse applications of TDA,
examining a number of case studies drawn from monitoring the
progression of infectious diseases to the study of motion capture
data. Mathematicians moving into data science, as well as data
scientists or computer scientists seeking to understand this new
area, will appreciate this self-contained resource which explains
the underlying technology and how it can be used.
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