메뉴 건너뛰기




Volumn 160, Issue 10-11, 2012, Pages 1441-1452

Minimizing the error of linear separators on linearly inseparable data

Author keywords

Classifiers; Error minimizers; Linearly inseparable

Indexed keywords

BLUE POINTS; LINEAR CLASSIFIERS; LINEAR SEPARATORS; LINEARLY INSEPARABLE; RED POINTS; SEPARATED SETS;

EID: 84859902279     PISSN: 0166218X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.dam.2012.03.009     Document Type: Article
Times cited : (16)

References (44)
  • 4
    • 55249118861 scopus 로고    scopus 로고
    • On approximating the depth and related problems
    • B. Aronov, and S. Har-Peled On approximating the depth and related problems SIAM J. Comput. 38 2008 899 921
    • (2008) SIAM J. Comput. , vol.38 , pp. 899-921
    • Aronov, B.1    Har-Peled, S.2
  • 5
    • 0026860799 scopus 로고
    • Robust linear programming discrimination of two linearly inseparable sets
    • K.P. Bennett, and O.L. Mangasarian Robust linear programming discrimination of two linearly inseparable sets Optim. Methods Softw. 1 1 1992 23 34 (Pubitemid 23615796)
    • (1992) Optimization Methods and Software , vol.1 , Issue.1 , pp. 23-34
    • Bennett Kristin, P.1    Mangasarian, O.L.2
  • 10
    • 0036002803 scopus 로고    scopus 로고
    • Approximating the diameter, width, smallest enclosing cylinder, and minimum-width annulus
    • T.M. Chan Approximating the diameter, width, smallest enclosing cylinder, and minimum-width annulus Internat. J. Comput. Geom. Appl. 12 2002 67 85
    • (2002) Internat. J. Comput. Geom. Appl. , vol.12 , pp. 67-85
    • Chan, T.M.1
  • 11
    • 24344437297 scopus 로고    scopus 로고
    • Low-dimensional linear programming with violations
    • DOI 10.1137/S0097539703439404
    • T.M. Chan Low-dimensional linear programming with violations SIAM J. Comput. 34 2005 879 893 (Pubitemid 41246998)
    • (2005) SIAM Journal on Computing , vol.34 , Issue.4 , pp. 879-893
    • Chan, T.M.1
  • 12
    • 77950345497 scopus 로고    scopus 로고
    • A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries
    • Article 16
    • T.M. Chan A dynamic data structure for 3-D convex hulls and 2-D nearest neighbor queries J. ACM 57 3 2010 Article 16
    • (2010) J. ACM , vol.57 , Issue.3
    • Chan, T.M.1
  • 13
    • 0342902479 scopus 로고    scopus 로고
    • Random sampling, halfspace range reporting, and construction of (≤ k)-levels in three dimensions
    • DOI 10.1137/S0097539798349188, PII S0097539798349188
    • T.M. Chan Random sampling, halfspace range reporting, and construction of (≤ k)-levels in three dimensions SIAM J. Comput. 30 2000 561 575 (Pubitemid 32469590)
    • (2001) SIAM Journal on Computing , vol.30 , Issue.2 , pp. 561-575
    • Chan, T.M.1
  • 14
    • 51249162153 scopus 로고
    • An optimal convex hull algorithm in any fixed dimension
    • B. Chazelle An optimal convex hull algorithm in any fixed dimension Discrete Comput. Geom. 10 1993 377 409
    • (1993) Discrete Comput. Geom. , vol.10 , pp. 377-409
    • Chazelle, B.1
  • 15
    • 0037765301 scopus 로고
    • New applications of random sampling in computational geometry
    • K.L. Clarkson New applications of random sampling in computational geometry Discrete Comput. Geom. 2 1987 195 222
    • (1987) Discrete Comput. Geom. , vol.2 , pp. 195-222
    • Clarkson, K.L.1
  • 16
    • 0001702902 scopus 로고
    • Applications of random sampling in computational geometry, II
    • K.L. Clarkson, and P.W. Shor Applications of random sampling in computational geometry, II Discrete Comput. Geom. 4 1989 387 421
    • (1989) Discrete Comput. Geom. , vol.4 , pp. 387-421
    • Clarkson, K.L.1    Shor, P.W.2
  • 20
    • 0032394371 scopus 로고    scopus 로고
    • Improved bounds on planar k-sets and k-levels
    • T.K. Dey Improved bounds on planar k-sets and k-levels Discrete Comput. Geom. 19 1998 373 382
    • (1998) Discrete Comput. Geom. , vol.19 , pp. 373-382
    • Dey, T.K.1
  • 23
    • 0003516674 scopus 로고
    • EATCS Series Monographs in Theoretical Computer Science Springer
    • H. Edelsbrunner Algorithms in Combinatorial Geometry EATCS Series Monographs in Theoretical Computer Science vol. 10 1987 Springer
    • (1987) Algorithms in Combinatorial Geometry , vol.10
    • Edelsbrunner, H.1
  • 24
    • 10944268750 scopus 로고    scopus 로고
    • Searching for linearly separable subsets using the class of linear separability method
    • D. Elizondo, Searching for linearly separable subsets using the class of linear separability method, in: IEEE International Joint Conference on Neural Networks, 2004, pp. 955-960.
    • (2004) IEEE International Joint Conference on Neural Networks , pp. 955-960
    • Elizondo, D.1
  • 27
    • 0034841224 scopus 로고    scopus 로고
    • Taking a walk in a planar arrangement
    • DOI 10.1137/S0097539799362627, PII S0097539799362627
    • S. Har-Peled Taking a walk in a planar arrangement SIAM J. Comput. 30 2000 1341 1367 (Pubitemid 32837897)
    • (2001) SIAM Journal on Computing , vol.30 , Issue.4 , pp. 1341-1367
    • Har-Peled, S.1
  • 28
    • 38249000681 scopus 로고
    • Algorithms for weak and wide separation of sets
    • M.E. Houle Algorithms for weak and wide separation of sets Discrete Appl. Math. 45 1993 139 159
    • (1993) Discrete Appl. Math. , vol.45 , pp. 139-159
    • Houle, M.E.1
  • 30
    • 0345978895 scopus 로고    scopus 로고
    • Separating objects in the plane by wedges and strips
    • DOI 10.1016/S0166-218X(00)00230-4, PII S0166218X00002304
    • F. Hurtado, M. Noy, P.A. Ramos, and C. Seara Separating objects in the plane by wedges and strips Discrete Appl. Math. 109 2000 109 138 (Pubitemid 33673492)
    • (2001) Discrete Applied Mathematics , vol.109 , Issue.1-2 , pp. 109-138
    • Hurtado, F.1    Noy, M.2    Ramos, P.A.3    Seara, C.4
  • 31
    • 34147178330 scopus 로고    scopus 로고
    • Arbitrary-norm hyperplane separation by variable neighbourhood search
    • DOI 10.1093/imaman/dpm014
    • A. Karam, G. Caporossi, and P. Hansen Arbitrary-norm hyperplane separation by variable neighbourhood search IMA J. Manag. Math 18 2007 173 189 (Pubitemid 46552842)
    • (2007) IMA Journal Management Mathematics , vol.18 , Issue.2 , pp. 173-189
    • Karam, A.1    Caporossi, G.2    Hansen, P.3
  • 32
    • 1342282179 scopus 로고    scopus 로고
    • Incremental penetration depth estimation between convex polytopes using dual-space expansion
    • Y.J. Kim, M.C. Lin, and D. Manocha Incremental penetration depth estimation between convex polytopes using dual-space expansion IEEE Trans. Vis. Comput. Graphics 10 2004 152 163
    • (2004) IEEE Trans. Vis. Comput. Graphics , vol.10 , pp. 152-163
    • Kim, Y.J.1    Lin, M.C.2    Manocha, D.3
  • 35
    • 0020845843 scopus 로고
    • Linear programming in linear time when the dimension is fixed
    • DOI 10.1145/2422.322418
    • N. Megiddo Linear programming in linear time when the dimension is fixed J. ACM 31 1 1984 114 127 (Pubitemid 14507495)
    • (1983) Journal of the ACM , vol.31 , Issue.1 , pp. 114-127
    • Megiddo Nimrod1
  • 38
    • 84859922830 scopus 로고    scopus 로고
    • Ph.D. Dissertation, BRICS, Aarhus, Denmark
    • J. Rico, Dynamic planar convex hull, Ph.D. Dissertation, BRICS, Aarhus, Denmark, 2002.
    • (2002) Dynamic Planar Convex Hull
    • Rico, J.1
  • 39
    • 0028522971 scopus 로고
    • K-Violation linear programming
    • DOI 10.1016/0020-0190(94)00134-0
    • T. Roos, and P. Widmayer k-Violation linear programming Inform. Process. Lett. 52 1994 109 114 (Pubitemid 124013229)
    • (1994) Information Processing Letters , vol.52 , Issue.2 , pp. 109-114
    • Roos, T.1    Widmayer, P.2
  • 42
    • 34547830949 scopus 로고    scopus 로고
    • On the complexity of working set selection
    • DOI 10.1016/j.tcs.2007.03.041, PII S030439750700240X, Algorithmic Learning Theory
    • H.U. Simon On the complexity of working set selection Theoret. Comput. Sci. 382 3 2007 262 279 (Pubitemid 47248046)
    • (2007) Theoretical Computer Science , vol.382 , Issue.3 , pp. 262-279
    • Simon, H.U.1
  • 43
    • 0035593066 scopus 로고    scopus 로고
    • Point sets with many k-sets
    • G. Tóth Point sets with many k-sets Discrete Comput. Geom. 26 2001 187 194
    • (2001) Discrete Comput. Geom. , vol.26 , pp. 187-194
    • Tóth, G.1
  • 44
    • 0020879121 scopus 로고
    • Solving geometric problems with the rotating calipers
    • A10.02/1-4
    • G.T. Toussaint, Solving geometric problems with the rotating calipers, in: Proc. IEEE MELECON'83, Athens, Greece, 1983, A10.02/1-4.
    • (1983) Proc. IEEE MELECON'83, Athens, Greece
    • Toussaint, G.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.