The Number of Linearly Inducible Orderings of Points in d -Space
Thomas M. Cover · SIAM Journal on Applied Mathematics · 1967
Previous article Next article The Number of Linearly Inducible Orderings of Points in d-SpaceThomas M. CoverThomas M. Coverhttps://doi.org/10.1137/0115039PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] H. D. Block, The perceptron: a model for brain functioning. I, Rev. Modern Phys., 34 (1962), 123–135 10.1103/RevModPhys.34.123 MR0137605 0105.12701 CrossrefGoogle Scholar[2] N. J. Nilsson, Learning Machines: Foundations of Trainable Pattern Classifying Systems, McGraw-Hill, New York, 1965 0132.12005 Google Scholar[3] B. Widrow, Generalization and information storage in networks of Adaline `neurons,'Self-Organizing Systems, Spartan Books, Washington, D.C., 1962, 442–459 Google Scholar[4] Ludwig Schläfli, Gesammelte mathematische Abhandlungen. Band I, Verlag Birkhäuser, Basel, 1950, 209–212, Switzerland MR0034587 CrossrefGoogle Scholar[5] J. Steiner, , J. Reine Angew. Math., 1 (1826), 349–364, (Crelle) CrossrefGoogle Scholar[6] T. M. Cover, Geometrical and statistical properties of systems of linear inequalities with applications in pattern recognition, IEEE Trans. Electronic Computers, EC-14 (1965), 326–334 0152.18206 CrossrefISIGoogle Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Partial identification in nonseparable binary response models with endogenous regressorsJournal of Econometrics | 1 Jun 2022 Cross Ref On biased random walks, corrupted intervals, and learning under adversarial designAnnals of Mathematics and Artificial Intelligence, Vol. 88, No. 8 | 18 May 2020 Cross Ref Least squares estimation in the monotone single index modelBernoulli, Vol. 25, No. 4B | 2 Nov 2019 Cross Ref Testing the Predictor Effect on a Functional ResponseJournal of the American Statistical Association, Vol. 111, No. 516 | 4 January 2017 Cross Ref On the complexity of recognizing a set of vectors by a neuronSiberian Advances in Mathematics, Vol. 20, No. 4 | 4 December 2010 Cross Ref The Lower Bound on the Number of Hidden Neurons in Multi-Valued Multi-Threshold Neural Networks2008 Second International Symposium on Intelligent Information Technology Application | 1 Dec 2008 Cross Ref Partitioning points by parallel planesDiscrete Mathematics, Vol. 282, No. 1-3 | 1 May 2004 Cross Ref Capacity of multilevel threshold devicesIEEE Transactions on Information Theory, Vol. 44, No. 1 | 1 Jan 1998 Cross Ref The Computational Neural Map and its CapacityNeural Nets WIRN VIETRI-96 | 1 Jan 1997 Cross Ref IntroductionGraphs and Order | 1 Jan 1985 Cross Ref Capacity and Efficiency of Decision FunctionsIEEE Transactions on Computers, Vol. C-26, No. 11 | 1 Nov 1977 Cross Ref A Note on the Number of Linearly Inducible Orderings of Points in d-SpaceH. W. GouldSIAM Journal on Applied Mathematics, Vol. 26, No. 3 | 12 July 2006AbstractPDF (219 KB) Volume 15, Issue 2| 1967SIAM Journal on Applied Mathematics231-477 History Submitted:17 June 1966Published online:13 July 2006 InformationCopyright © 1967 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0115039Article page range:pp. 434-439ISSN (print):0036-1399ISSN (online):1095-712XPublisher:Society for Industrial and Applied Mathematics