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Topological Data Analysis for Genomics and Evolution

2019-10-31 Science
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Release : 2019-10-31
Genre : Science
Kind : eBook
Book Rating : 396/5 ( reviews)

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Book Synopsis Topological Data Analysis for Genomics and Evolution by : Raúl Rabadán

Download or read book Topological Data Analysis for Genomics and Evolution written by Raúl Rabadán. This book was released on 2019-10-31. Available in PDF, EPUB and Kindle. Book excerpt: Biology has entered the age of Big Data. The technical revolution has transformed the field, and extracting meaningful information from large biological data sets is now a central methodological challenge. Algebraic topology is a well-established branch of pure mathematics that studies qualitative descriptors of the shape of geometric objects. It aims to reduce questions to a comparison of algebraic invariants, such as numbers, which are typically easier to solve. Topological data analysis is a rapidly-developing subfield that leverages the tools of algebraic topology to provide robust multiscale analysis of data sets. This book introduces the central ideas and techniques of topological data analysis and its specific applications to biology, including the evolution of viruses, bacteria and humans, genomics of cancer and single cell characterization of developmental processes. Bridging two disciplines, the book is for researchers and graduate students in genomics and evolutionary biology alongside mathematicians interested in applied topology.

Topological Data Analysis for Genomics and Evolution

2019-12-19 Science
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Release : 2019-12-19
Genre : Science
Kind : eBook
Book Rating : 547/5 ( reviews)

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Book Synopsis Topological Data Analysis for Genomics and Evolution by : Raul Rabadan

Download or read book Topological Data Analysis for Genomics and Evolution written by Raul Rabadan. This book was released on 2019-12-19. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to geometric and topological methods to analyze large scale biological data; includes statistics and genomic applications.

Computational Topology for Data Analysis

2022-03-10 Mathematics
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Release : 2022-03-10
Genre : Mathematics
Kind : eBook
Book Rating : 199/5 ( reviews)

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Book Synopsis Computational Topology for Data Analysis by : Tamal Krishna Dey

Download or read book Computational Topology for Data Analysis written by Tamal Krishna Dey. This book was released on 2022-03-10. Available in PDF, EPUB and Kindle. Book excerpt: Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions – like zigzag persistence and multiparameter persistence – and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.

Topological Data Analysis with Applications

2021-12-16 Computers
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Release : 2021-12-16
Genre : Computers
Kind : eBook
Book Rating : 650/5 ( reviews)

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Book Synopsis Topological Data Analysis with Applications by : Gunnar Carlsson

Download or read book Topological Data Analysis with Applications written by Gunnar Carlsson. This book was released on 2021-12-16. Available in PDF, EPUB and Kindle. Book excerpt: This timely text introduces topological data analysis from scratch, with detailed case studies.

Topological Data Analysis with Applications

2021-12-16 Mathematics
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Release : 2021-12-16
Genre : Mathematics
Kind : eBook
Book Rating : 944/5 ( reviews)

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Book Synopsis Topological Data Analysis with Applications by : Gunnar Carlsson

Download or read book Topological Data Analysis with Applications written by Gunnar Carlsson. This book was released on 2021-12-16. Available in PDF, EPUB and Kindle. Book excerpt: 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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