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| 001 | 9783110481068 | ||
| 003 | DE-B1597 | ||
| 005 | 20200803184532.0 | ||
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| 008 | 190326s2016 gw fo d z eng d | ||
| 020 | _a9783110481068 | ||
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_a10.1515/9783110481068 _2doi |
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| 035 | _a(DE-B1597)466925 | ||
| 035 | _a(OCoLC)951141809 | ||
| 035 | _a(OCoLC)963114749 | ||
| 040 |
_aDE-B1597 _beng _cDE-B1597 _erda |
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| 041 | 0 | _aeng | |
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_aCOM012050 _2bisacsh |
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_aCOM051300 _2bisacsh |
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_aMAT003000 _2bisacsh |
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_aMAT042000 _2bisacsh |
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_81\p _a510 _qDE-101 |
| 100 | 1 |
_aGainanov, Damir, _eauthor. |
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| 245 | 1 | 0 |
_aGraphs for Pattern Recognition : _bInfeasible Systems of Linear Inequalities / _cDamir Gainanov. |
| 264 | 1 |
_aBerlin ; _aBoston : _bDe Gruyter, _c[2016] |
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| 264 | 4 | _c©2016 | |
| 300 | _a1 online resource (158 p.) | ||
| 336 |
_atext _btxt _2rdacontent |
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| 337 |
_acomputer _bc _2rdamedia |
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| 338 |
_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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| 505 | 0 | 0 |
_tFrontmatter -- _tPreface -- _tContents -- _t1. Pattern recognition, infeasible systems of linear inequalities, and graphs -- _t2. Complexes, (hyper)graphs, and inequality systems -- _t3. Polytopes, positive bases, and inequality systems -- _t4. Monotone Boolean functions, complexes, graphs, and inequality systems -- _t5. Inequality systems, committees, (hyper)graphs, and alternative covers -- _tBibliography -- _tList of notation -- _tIndex |
| 506 | 0 |
_aOpen Access _uhttps://purl.org/coar/access_right/c_abf2 _funrestricted online access _2star |
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| 520 | _aThis 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. Contents:PrefacePattern recognition, infeasible systems of linear inequalities, and graphsInfeasible monotone systems of constraintsComplexes, (hyper)graphs, and inequality systemsPolytopes, positive bases, and inequality systemsMonotone Boolean functions, complexes, graphs, and inequality systemsInequality systems, committees, (hyper)graphs, and alternative coversBibliographyList of notationIndex | ||
| 538 | _aMode of access: Internet via World Wide Web. | ||
| 540 |
_aThis eBook is made available Open Access. Unless otherwise specified in the content, the work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives (CC BY-NC-ND) license: _uhttps://creativecommons.org/licenses/by-nc-nd/3.0 _uhttps://www.degruyter.com/dg/page/open-access-policy |
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| 546 | _aIn English. | ||
| 588 | 0 | _aDescription based on online resource; title from PDF title page (publisher's Web site, viewed 26. Mrz 2019) | |
| 650 | 4 | _aData Mining. | |
| 650 | 4 | _aGraphentheorie. | |
| 650 | 4 | _aKombinatorik. | |
| 650 | 4 | _aLineares Gleichungssystem. | |
| 650 | 4 | _aMustererkennung. | |
| 650 | 7 |
_aMATHEMATICS / Combinatorics. _2bisacsh |
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| 773 | 0 | 8 |
_iTitle is part of eBook package: _dDe Gruyter _tEBOOK PACKAGE COMPLETE 2016 _z9783110485103 _oZDB-23-DGG |
| 773 | 0 | 8 |
_iTitle is part of eBook package: _dDe Gruyter _tEBOOK PACKAGE Mathematics 2016 _z9783110485288 _oZDB-23-DMA |
| 776 | 0 |
_cEPUB _z9783110480306 |
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| 776 | 0 |
_cprint _z9783110480139 |
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| 856 | 4 | 0 |
_uhttps://doi.org/10.1515/9783110481068 _zOpen Access |
| 856 | 4 | 2 |
_3Cover _uhttps://www.degruyter.com/cover/covers/9783110481068.jpg |
| 912 | _aGBV-deGruyter-alles | ||
| 912 |
_aZDB-23-DGG _b2016 |
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| 912 |
_aZDB-23-DMA _b2016 |
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| 912 | _aZDB-23-GOA | ||
| 999 |
_c535285 _d535283 |
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