Topological Data Analysis with Applications Carlsson Gunnar
The continued and dramatic rise in the size of data sets has meant that new methods are required to model and analyze them. The authors outline the necessary background material on topology and data philosophy for newcomers, while more complex concepts are highlighted for advance… Celý popis ↓
Porovnanie cien Topological Data Analysis with Applications Carlsson Gunnar
Popis Topological Data Analysis with Applications Carlsson Gunnar
Topological Data Analysis with Applications Carlsson Gunnar
The continued and dramatic rise in the size of data sets has meant that new methods are required to model and analyze them. The authors outline the necessary background material on topology and data philosophy for newcomers, while more complex concepts are highlighted for advanced learners. 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 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. The book covers all the main TDA techniques, including persistent homology, cohomology, and Mapper. Mathematicians moving into data science, as well as data scientists or computer scientists seeking to understand this new
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