Graphs for Pattern Recognition

This monograph deals with mathematical constructions that are foundational in such an important area of data mining as pattern recognition. By using combinatorial and graph theoretic techniques, a closer look is taken at infeasible systems of linear inequalities, whose generalized solutions act as b...

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主要作者: Gainanov, Damir
格式: Online
語言:英语
出版: De Gruyter 2021
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author Gainanov, Damir
author_browse Gainanov, Damir
author_facet Gainanov, Damir
author_sort Gainanov, Damir
collection Directory of Open Access Books
description This monograph deals with mathematical constructions that are foundational in such an important area of data mining as pattern recognition. By using combinatorial and graph theoretic techniques, a closer look is taken at infeasible systems of linear inequalities, whose generalized solutions act as building blocks of geometric decision rules for pattern recognition. Infeasible systems of linear inequalities prove to be a key object in pattern recognition problems described in geometric terms thanks to the committee method. Such infeasible systems of inequalities represent an important special subclass of infeasible systems of constraints with a monotonicity property – systems whose multi-indices of feasible subsystems form abstract simplicial complexes (independence systems), which are fundamental objects of combinatorial topology. The methods of data mining and machine learning discussed in this monograph form the foundation of technologies like big data and deep learning, which play a growing role in many areas of human-technology interaction and help to find solutions, better solutions and excellent solutions.
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spelling doab-20.500.12854ir-308372025-07-30T18:22:26Z Graphs for Pattern Recognition Gainanov, Damir Computers Artificial Intelligence Computer Vision & Pattern Recognition Technology & Engineering Agriculture thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TV Agriculture and farming This monograph deals with mathematical constructions that are foundational in such an important area of data mining as pattern recognition. By using combinatorial and graph theoretic techniques, a closer look is taken at infeasible systems of linear inequalities, whose generalized solutions act as building blocks of geometric decision rules for pattern recognition. Infeasible systems of linear inequalities prove to be a key object in pattern recognition problems described in geometric terms thanks to the committee method. Such infeasible systems of inequalities represent an important special subclass of infeasible systems of constraints with a monotonicity property – systems whose multi-indices of feasible subsystems form abstract simplicial complexes (independence systems), which are fundamental objects of combinatorial topology. The methods of data mining and machine learning discussed in this monograph form the foundation of technologies like big data and deep learning, which play a growing role in many areas of human-technology interaction and help to find solutions, better solutions and excellent solutions. 2021-02-10T13:45:23Z 2021-02-10T13:45:23Z 2021-01-12T04:31:59Z 2016 book https://library.oapen.org/handle/20.500.12657/46036 9783110481068 https://directory.doabooks.org/handle/20.500.12854/30837 eng open access image/jpeg image/jpeg image/jpeg image/jpeg n/a n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/46036/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/46036/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/46036/1/external_content.pdf https://library.oapen.org/bitstream/20.500.12657/46036/1/external_content.pdf De Gruyter De Gruyter https://doi.org/10.1515/9783110481068 https://doi.org/10.1515/9783110481068 af2fbfcc-ee87-43d8-a035-afb9d7eef6a5 Knowledge Unlatched 9783110481068 Knowledge Unlatched (KU) KU Select 2019: STEM Backlist Books De Gruyter open access
spellingShingle Computers
Artificial Intelligence
Computer Vision & Pattern Recognition
Technology & Engineering
Agriculture
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TV Agriculture and farming
Gainanov, Damir
Graphs for Pattern Recognition
title Graphs for Pattern Recognition
title_full Graphs for Pattern Recognition
title_fullStr Graphs for Pattern Recognition
title_full_unstemmed Graphs for Pattern Recognition
title_short Graphs for Pattern Recognition
title_sort graphs for pattern recognition
topic Computers
Artificial Intelligence
Computer Vision & Pattern Recognition
Technology & Engineering
Agriculture
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TV Agriculture and farming
topic_facet Computers
Artificial Intelligence
Computer Vision & Pattern Recognition
Technology & Engineering
Agriculture
thema EDItEUR::U Computing and Information Technology::UY Computer science::UYQ Artificial intelligence::UYQV Computer vision
thema EDItEUR::T Technology, Engineering, Agriculture, Industrial processes::TV Agriculture and farming
url https://library.oapen.org/handle/20.500.12657/46036
work_keys_str_mv AT gainanovdamir graphsforpatternrecognition