Methods And Applications Of Topological Data Analysis
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Methods And Applications Of Topological Data Analysis
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Author : Jennifer Novak Kloke
language : en
Publisher:
Release Date : 2010
Methods And Applications Of Topological Data Analysis written by Jennifer Novak Kloke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with categories.
The focus of this dissertation is the development of methods for topological analysis as well as the application of topological tools to real world problems. The first half of the dissertation focuses on an algorithm for de-noising high-dimensional data for topological data analysis. This method significantly extends the applicability of many topological data analysis methods. In particular, this method extends the use of persistent homology, a generalized notion of homology for discrete data points, to data sets that were previously inaccessible because of noise. The second half of this dissertation focuses on a method for using topology to simplify complex chemical structures and to define a metric to quantify similarity for use in screening large databases of chemical compounds. This method has shown very promising initial results in locating new materials for efficiently separating carbon dioxide from the exhaust of coal-burning power plants.
Topological Data Analysis With Applications
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Author : Gunnar Carlsson
language : en
Publisher: Cambridge University Press
Release Date : 2021-12-16
Topological Data Analysis With Applications written by Gunnar Carlsson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-16 with Computers categories.
This timely text introduces topological data analysis from scratch, with detailed case studies.
Topological Data Analysis For Genomics And Evolution
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Author : Raul Rabadan
language : en
Publisher: Cambridge University Press
Release Date : 2019-12-19
Topological Data Analysis For Genomics And Evolution written by Raul Rabadan and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-19 with Mathematics categories.
An introduction to geometric and topological methods to analyze large scale biological data; includes statistics and genomic applications.
Topology In Real World Machine Learning And Data Analysis
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Author : Kathryn Hess
language : en
Publisher: Frontiers Media SA
Release Date : 2022-11-07
Topology In Real World Machine Learning And Data Analysis written by Kathryn Hess and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-07 with Science categories.
Handbook Of Discrete And Computational Geometry
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Author : Csaba D. Toth
language : en
Publisher: CRC Press
Release Date : 2017-11-22
Handbook Of Discrete And Computational Geometry written by Csaba D. Toth and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-22 with Computers categories.
The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Topological Methods In Data Analysis And Visualization Vi
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Author : Ingrid Hotz
language : en
Publisher: Springer Nature
Release Date : 2021-09-28
Topological Methods In Data Analysis And Visualization Vi written by Ingrid Hotz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-28 with Mathematics categories.
This book is a result of a workshop, the 8th of the successful TopoInVis workshop series, held in 2019 in Nyköping, Sweden. The workshop regularly gathers some of the world’s leading experts in this field. Thereby, it provides a forum for discussions on the latest advances in the field with a focus on finding practical solutions to open problems in topological data analysis for visualization. The contributions provide introductory and novel research articles including new concepts for the analysis of multivariate and time-dependent data, robust computational approaches for the extraction and approximations of topological structures with theoretical guarantees, and applications of topological scalar and vector field analysis for visualization. The applications span a wide range of scientific areas comprising climate science, material sciences, fluid dynamics, and astronomy. In addition, community efforts with respect to joint software development are reported and discussed.
Currents In Biomedical Signals Processing Methods And Applications
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Author : Aleksandra Dagmara Kawala-Sterniuk
language : en
Publisher: Frontiers Media SA
Release Date : 2022-09-05
Currents In Biomedical Signals Processing Methods And Applications written by Aleksandra Dagmara Kawala-Sterniuk and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-05 with Science categories.
Stratified Topological Data Analysis
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Author : Tim Mäder
language : en
Publisher:
Release Date : 2024*
Stratified Topological Data Analysis written by Tim Mäder and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024* with categories.
Topological Data Analysis
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Author : Nils A. Baas
language : en
Publisher: Springer Nature
Release Date : 2020-06-25
Topological Data Analysis written by Nils A. Baas and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-06-25 with Mathematics categories.
This book gathers the proceedings of the 2018 Abel Symposium, which was held in Geiranger, Norway, on June 4-8, 2018. The symposium offered an overview of the emerging field of "Topological Data Analysis". This volume presents papers on various research directions, notably including applications in neuroscience, materials science, cancer biology, and immune response. Providing an essential snapshot of the status quo, it represents a valuable asset for practitioners and those considering entering the field.
Topological In Hegel
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Author : Borislav G. Dimitrov
language : en
Publisher: Borislav Dimitrov
Release Date : 2018-01-23
Topological In Hegel written by Borislav G. Dimitrov and has been published by Borislav Dimitrov this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-01-23 with Philosophy categories.
The aim of this book is to critically examine whether it is methodologically possible to combine mathematical rigor – topology with a systematic dialectical methodology in Hegel, and if so, to provide as result of my interpretation the outline of Hegel’s Analysis Situs, also with the proposed models (build on the topological manifold, cobordism, topological data analysis, persistent homology, simplicial complexes and graph theory, to provide an indication of how the merger of Hegel’s dialectical logic and topology may be instrumental to a systematic logician and of how a systematic dialectical logic perspective may help mathematical model builders.