Cargando…
Pattern recognition on oriented matroids /
Pattern Recognition on Oriented Matroids covers a range of innovative problems in combinatorics, poset and graph theories, optimization, and number theory that constitute a far-reaching extension of the arsenal of committee methods in pattern recognition. The groundwork for the modern committee theo...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin ; Boston :
De Gruyter,
[2017]
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
| LEADER | 00000cam a2200000Mi 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1004883055 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m o d | ||
| 007 | cr ||||||||||| | ||
| 008 | 170913t20172017gw a ob 001 0 eng d | ||
| 040 | |a DEGRU |b eng |e rda |e pn |c DEGRU |d GWDNB |d OCLCQ |d IDEBK |d EBLCP |d YDX |d STF |d UBY |d WTU |d OCLCQ |d N$T |d CNCGM |d OCLCF |d NAM |d OCLCQ |d OCLCO |d CUS |d OCLCQ |d COCUF |d MERUC |d LOA |d ZCU |d UMC |d ICG |d VT2 |d OCLCQ |d WYU |d TKN |d K6U |d G3B |d IGB |d DKC |d U3W |d UKAHL |d OCLCQ |d UMI |d OCLCQ |d AJS |d OCLCQ |d AAA |d OCLCO |d OCLCQ |d DEGRU |d OCLCO |d OCLCL | ||
| 016 | 7 | |a 1140816489 |2 DE-101 | |
| 019 | |a 1004537758 |a 1004577877 |a 1004717053 |a 1006306381 |a 1013754268 |a 1028641655 |a 1033613479 |a 1033680761 |a 1049608257 |a 1061065468 |a 1066470317 |a 1081238635 | ||
| 020 | |a 9783110531145 | ||
| 020 | |a 3110531143 | ||
| 020 | |a 9783110530841 | ||
| 020 | |a 3110530848 | ||
| 020 | |a 9783110531152 | ||
| 020 | |a 3110531151 | ||
| 020 | |z 3110530716 | ||
| 020 | |z 9783110530711 | ||
| 024 | 3 | |a 9783110531145 | |
| 024 | 7 | |a 10.1515/9783110531145 |2 doi | |
| 024 | 7 | |a urn:nbn:de:101:1-201710046974 |2 urn | |
| 029 | 1 | |a AU@ |b 000062249052 | |
| 029 | 1 | |a GWDNB |b 1140816489 | |
| 035 | |a (OCoLC)1004883055 |z (OCoLC)1004537758 |z (OCoLC)1004577877 |z (OCoLC)1004717053 |z (OCoLC)1006306381 |z (OCoLC)1013754268 |z (OCoLC)1028641655 |z (OCoLC)1033613479 |z (OCoLC)1033680761 |z (OCoLC)1049608257 |z (OCoLC)1061065468 |z (OCoLC)1066470317 |z (OCoLC)1081238635 | ||
| 037 | |a 1036841 |b MIL | ||
| 050 | 4 | |a QA166.6 |b .M38 2017 | |
| 072 | 7 | |a COM018000 |2 bisacsh | |
| 072 | 7 | |a COM021030 |2 bisacsh | |
| 072 | 7 | |a COM051300 |2 bisacsh | |
| 072 | 7 | |a MAT036000 |2 bisacsh | |
| 082 | 0 | 4 | |8 1\p |a 510 |q DE-101 |
| 084 | |a 510 |q DE-101 |2 sdnb | ||
| 049 | |a UAMI | ||
| 100 | 1 | |a Matveev, Andrey O., |e author. | |
| 245 | 1 | 0 | |a Pattern recognition on oriented matroids / |c Andrey O. Matveev. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2017] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (xi, 219 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 347 | |b PDF | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Committees for Pattern Recognition: Infeasible Systems of Linear Inequalities, Hyperplane Arrangements, and Realizable Oriented Matroids -- |t 1. Oriented Matroids, the Pattern Recognition Problem, and Tope Committees -- |t 2. Boolean Intervals -- |t 3. Dehn-Sommerville Type Relations -- |t 4. Farey Subsequences -- |t 5. Blocking Sets of Set Families, and Absolute Blocking Constructions in Posets -- |t 6. Committees of Set Families, and Relative Blocking Constructions in Posets -- |t 7. Layers of Tope Committees -- |t 8. Three-Tope Committees -- |t 9. Halfspaces, Convex Sets, and Tope Committees -- |t 10. Tope Committees and Reorientations of Oriented Matroids -- |t 11. Topes and Critical Committees -- |t 12. Critical Committees and Distance Signals -- |t 13. Symmetric Cycles in the Hypercube Graphs -- |t Bibliography -- |t List of Notation -- |t Index. |
| 520 | |a Pattern Recognition on Oriented Matroids covers a range of innovative problems in combinatorics, poset and graph theories, optimization, and number theory that constitute a far-reaching extension of the arsenal of committee methods in pattern recognition. The groundwork for the modern committee theory was laid in the mid-1960s, when it was shown that the familiar notion of solution to a feasible system of linear inequalities has ingenious analogues which can serve as collective solutions to infeasible systems. A hierarchy of dialects in the language of mathematics, for instance, open cones in the context of linear inequality systems, regions of hyperplane arrangements, and maximal covectors (or topes) of oriented matroids, provides an excellent opportunity to take a fresh look at the infeasible system of homogeneous strict linear inequalities - the standard working model for the contradictory two-class pattern recognition problem in its geometric setting. The universal language of oriented matroid theory considerably simplifies a structural and enumerative analysis of applied aspects of the infeasibility phenomenon. The present book is devoted to several selected topics in the emerging theory of pattern recognition on oriented matroids: the questions of existence and applicability of matroidal generalizations of committee decision rules and related graph-theoretic constructions to oriented matroids with very weak restrictions on their structural properties; a study (in which, in particular, interesting subsequences of the Farey sequence appear naturally) of the hierarchy of the corresponding tope committees; a description of the three-tope committees that are the most attractive approximation to the notion of solution to an infeasible system of linear constraints; an application of convexity in oriented matroids as well as blocker constructions in combinatorial optimization and in poset theory to enumerative problems on tope committees; an attempt to clarify how elementary changes (one-element reorientations) in an oriented matroid affect the family of its tope committees; a discrete Fourier analysis of the important family of critical tope committees through rank and distance relations in the tope poset and the tope graph; the characterization of a key combinatorial role played by the symmetric cycles in hypercube graphs. ContentsOriented Matroids, the Pattern Recognition Problem, and Tope CommitteesBoolean IntervalsDehn-Sommerville Type RelationsFarey SubsequencesBlocking Sets of Set Families, and Absolute Blocking Constructions in PosetsCommittees of Set Families, and Relative Blocking Constructions in PosetsLayers of Tope CommitteesThree-Tope CommitteesHalfspaces, Convex Sets, and Tope CommitteesTope Committees and Reorientations of Oriented MatroidsTopes and Critical CommitteesCritical Committees and Distance SignalsSymmetric Cycles in the Hypercube Graphs. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Online resource; title from PDF title page (publisher's Web site, viewed 13. Sep 2017). | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Oriented matroids. | |
| 650 | 6 | |a Matroïdes orientés. | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Oriented matroids |2 fast | |
| 650 | 7 | |a Orientiertes Matroid |2 gnd | |
| 650 | 7 | |a Mustererkennung |2 gnd | |
| 653 | |a (Produktform)Electronic book text | ||
| 653 | |a (Zielgruppe)Fachpublikum/ Wissenschaft | ||
| 653 | |a (BISAC Subject Heading)MAT036000 | ||
| 653 | |a (BISAC Subject Heading)COM021030: COM021030 COMPUTERS / Database Management / Data Mining | ||
| 653 | |a (BISAC Subject Heading)COM018000: COM018000 COMPUTERS / Data Processing | ||
| 653 | |a (BISAC Subject Heading)COM051300: COM051300 COMPUTERS / Programming / Algorithms | ||
| 653 | |a Graphentheorie | ||
| 653 | |a Committee methods in pattern recognition, hypercubes, hyperplane arrangements, infeasible systems of linear inequalities, oriented matroids | ||
| 653 | |a Kombinatorik | ||
| 653 | |a Mustererkennung | ||
| 653 | |a Data Mining | ||
| 653 | |a Lineares Gleichungssystem | ||
| 653 | |a (VLB-WN)9620 | ||
| 653 | |a (BISAC Subject Heading)COM018000: COM018000 COMPUTERS / Data Processing / General | ||
| 653 | |a (Produktrabattgruppe)PR: rabattbeschränkt/Bibliothekswerke | ||
| 758 | |i has work: |a Pattern recognition on oriented matroids (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGkKfyHKMRh7wcTCHKXC43 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | |c bundle |z 9783110531152 | |
| 776 | 0 | |c EPUB |z 9783110530841 | |
| 776 | 0 | |c print |z 9783110530711 | |
| 776 | 0 | 8 | |i Print version: |a Matveev, Andrey O. |t Pattern recognition on oriented matroids. |d Berlin : De Gruyter, [2017] |z 3110530716 |w (DLC) 2017297301 |w (OCoLC)973803342 |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5049515 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH32848666 | ||
| 938 | |a Askews and Holts Library Services |b ASKH |n AH35152276 | ||
| 938 | |a De Gruyter |b DEGR |n 9783110531145 | ||
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL5049515 | ||
| 938 | |a EBSCOhost |b EBSC |n 1595372 | ||
| 938 | |a ProQuest MyiLibrary Digital eBook Collection |b IDEB |n cis37720473 | ||
| 938 | |a YBP Library Services |b YANK |n 13232742 | ||
| 938 | |a YBP Library Services |b YANK |n 14812353 | ||
| 994 | |a 92 |b IZTAP | ||