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Volumn 181, Issue 11, 2011, Pages 2316-2339

Ectropy of diversity measures for populations in Euclidean space

Author keywords

Discrepancy; Ectropy; Klee's measure; Minimum spanning tree; Population diversity measure; Singular values

Indexed keywords

DISCREPANCY; ECTROPY; KLEE'S MEASURE; MINIMUM SPANNING TREE; POPULATION DIVERSITY MEASURE; SINGULAR VALUES;

EID: 79953286744     PISSN: 00200255     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ins.2010.12.004     Document Type: Article
Times cited : (23)

References (79)
  • 4
    • 70449768701 scopus 로고    scopus 로고
    • Population Diversity and Fitness Measures Based on Genomic Distances
    • Charlottesville, VA, USA
    • A.L. Barker, W.N. Martin, Population Diversity and Fitness Measures Based on Genomic Distances, Technical Report, Charlottesville, VA, USA, 1999.
    • (1999) Technical Report
    • Barker, A.L.1    Martin, W.N.2
  • 5
    • 0035400652 scopus 로고    scopus 로고
    • Minimum-weight spanning tree algorithms a survey and empirical study
    • C.F. Bazlamaci, and K.S. Hindi Minimum-weight spanning tree algorithms a survey and empirical study Comput. Oper. Res. 28 2001 767 785
    • (2001) Comput. Oper. Res. , vol.28 , pp. 767-785
    • Bazlamaci, C.F.1    Hindi, K.S.2
  • 6
    • 23044448343 scopus 로고
    • Variance and uncertainty measures of population diversity dynamics
    • M. Bedau, and M. Zwick Variance and uncertainty measures of population diversity dynamics Adv. Syst. Sci. Appl. I 1995 7 12 (special issue)
    • (1995) Adv. Syst. Sci. Appl. , vol.1 , pp. 7-12
    • Bedau, M.1    Zwick, M.2
  • 7
    • 0003428927 scopus 로고
    • Unpublished Notes, Computer Science Department, Carnegie Mellon University
    • J. Bentley, Algorithms for Klee's rectangle problem, Unpublished Notes, Computer Science Department, Carnegie Mellon University, 1977.
    • (1977) Algorithms for Klee's Rectangle Problem
    • Bentley, J.1
  • 8
    • 57049121593 scopus 로고    scopus 로고
    • Faster s-metric calculation by considering dominated hypervolume as Klee's measure problem
    • N. Beume, G. Rudolph, Faster s-metric calculation by considering dominated hypervolume as Klee's measure problem, in: Computational Intelligence, pp. 233-238.
    • Computational Intelligence , pp. 233-238
    • Beume, N.1    Rudolph, G.2
  • 9
    • 29544449228 scopus 로고    scopus 로고
    • Particle swarms and population diversity
    • M. Blackwell Particle swarms and population diversity Soft Comput. 9 2005 793 802
    • (2005) Soft Comput. , vol.9 , pp. 793-802
    • Blackwell, M.1
  • 11
    • 0038612858 scopus 로고    scopus 로고
    • The balance between proximity and diversity in multiobjective evolutionary algorithms
    • P. Bosman, and D. Thierens The balance between proximity and diversity in multiobjective evolutionary algorithms IEEE Trans. Evol. Comput. 7 2003 174 188
    • (2003) IEEE Trans. Evol. Comput. , vol.7 , pp. 174-188
    • Bosman, P.1    Thierens, D.2
  • 14
    • 0001792790 scopus 로고
    • Tree size diversity and economic returns in uneven-aged forest stands
    • J. Buongiorno, S. Dahir, H.C. Lu, and C.R. Lin Tree size diversity and economic returns in uneven-aged forest stands Forest Sci. 40 1994 83 103
    • (1994) Forest Sci. , vol.40 , pp. 83-103
    • Buongiorno, J.1    Dahir, S.2    Lu, H.C.3    Lin, C.R.4
  • 15
    • 1542286518 scopus 로고    scopus 로고
    • Diversity in genetic programming: An analysis of measures and correlation with fitness
    • E. Burke, S. Gustafson, and G. Kendall Diversity in genetic programming: an analysis of measures and correlation with fitness IEEE Trans. Evol. Comput. 8 2004 47 62
    • (2004) IEEE Trans. Evol. Comput. , vol.8 , pp. 47-62
    • Burke, E.1    Gustafson, S.2    Kendall, G.3
  • 16
    • 0012574730 scopus 로고    scopus 로고
    • A minimum spanning tree algorithm with inverse-Ackermann type complexity
    • B. Chazelle A minimum spanning tree algorithm with inverse-Ackermann type complexity J. ACM 47 2000 1028 1047
    • (2000) J. ACM , vol.47 , pp. 1028-1047
    • Chazelle, B.1
  • 17
    • 54049094706 scopus 로고    scopus 로고
    • A measure of variance for hierarchical nominal attributes
    • J. Domingo-Ferrer, and A. Solanas A measure of variance for hierarchical nominal attributes Inform. Sci. 178 2008 4644 4655
    • (2008) Inform. Sci. , vol.178 , pp. 4644-4655
    • Domingo-Ferrer, J.1    Solanas, A.2
  • 18
    • 0141838172 scopus 로고    scopus 로고
    • 2-discrepancies and construction of uniform designs by threshold accepting
    • DOI 10.1016/S0885-064X(03)00067-0
    • 2-discrepancies and construction of uniform designs by threshold accepting J. Complex. 19 2003 692 711 (Pubitemid 37194930)
    • (2003) Journal of Complexity , vol.19 , Issue.5 , pp. 692-711
    • Fang, K.-T.1    Lu, X.2    Winker, P.3
  • 19
    • 0035704144 scopus 로고    scopus 로고
    • 2-discrepancy of random sampling, latin hypercube and uniform designs
    • 2-discrepancy of random sampling, latin hypercube and uniform designs J. Complex. 17 2001 608 624
    • (2001) J. Complex. , vol.17 , pp. 608-624
    • Fang, K.T.1    Ma, C.X.2
  • 21
    • 0034876073 scopus 로고    scopus 로고
    • A study on non-random mating and varying population size in genetic algorithms using a Royal Road function
    • C. Fernandes, and A. Rosa A study on non-random mating and varying population size in genetic algorithms using a royal road function Proceedings of the IEEE Congress on Evolutionary Computation 2001 IEEE Press 60 66 (Pubitemid 32806319)
    • (2001) Proceedings of the IEEE Conference on Evolutionary Computation, ICEC , vol.1 , pp. 60-66
    • Fernandes, C.1    Rosa, A.2
  • 23
    • 10444289966 scopus 로고    scopus 로고
    • Assessing the predictive accuracy of diversity measures with domain-dependent, asymmetric misclassification costs
    • M. Gal-Or, J.H. May, and W.E. Spangler Assessing the predictive accuracy of diversity measures with domain-dependent, asymmetric misclassification costs Inform. Fusion 6 2005 37 48
    • (2005) Inform. Fusion , vol.6 , pp. 37-48
    • Gal-Or, M.1    May, J.H.2    Spangler, W.E.3
  • 24
    • 0346242006 scopus 로고    scopus 로고
    • A Comparative Study of Probabilistic Roadmap Planners
    • Department of Information and Computing Sciences, Utrecht University
    • R. Geraerts, M.H. Overmars, A Comparative Study of Probabilistic Roadmap Planners, Technical Report UU-CS-2002-041, Department of Information and Computing Sciences, Utrecht University, 2002.
    • (2002) Technical Report UU-CS-2002-041
    • Geraerts, R.1    Overmars, M.H.2
  • 26
    • 0021938963 scopus 로고
    • Clustering to minimize the maximum intercluster distance
    • T.F. Gonzalez Clustering to minimize the maximum intercluster distance Theor. Comput. Sci. 38 1985 293 306
    • (1985) Theor. Comput. Sci. , vol.38 , pp. 293-306
    • Gonzalez, T.F.1
  • 27
    • 0026256139 scopus 로고
    • Covering a set of points in multidimensional space
    • T.F. Gonzalez Covering a set of points in multidimensional space Inform. Process. Lett. 40 1991 181 188
    • (1991) Inform. Process. Lett. , vol.40 , pp. 181-188
    • Gonzalez, T.F.1
  • 28
    • 0032345316 scopus 로고    scopus 로고
    • A generalized discrepancy and quadrature error bound
    • F.J. Hickernell A generalized discrepancy and quadrature error bound Math. Comput. 67 1998 299 322
    • (1998) Math. Comput. , vol.67 , pp. 299-322
    • Hickernell, F.J.1
  • 29
    • 24344467352 scopus 로고    scopus 로고
    • An evolution strategy with probabilistic mutation for multi-objective optimisation
    • IEEE Press Piscataway, NJ
    • S. Huband, and P. Hingston An evolution strategy with probabilistic mutation for multi-objective optimisation Proceedings of the IEEE Congress on Evolutionary Computation 2003 IEEE Press Piscataway, NJ 2284 2291
    • (2003) Proceedings of the IEEE Congress on Evolutionary Computation , pp. 2284-2291
    • Huband, S.1    Hingston, P.2
  • 30
    • 38049008001 scopus 로고    scopus 로고
    • Particle swarm optimization with diversity-controlled acceleration coefficients
    • IEEE Computer Society Washington, DC, USA
    • J. Jie, and J. Zeng Particle swarm optimization with diversity-controlled acceleration coefficients ICNC '07: Proceedings of the Third International Conference on Natural Computation 2007 IEEE Computer Society Washington, DC, USA 150 154
    • (2007) ICNC '07: Proceedings of the Third International Conference on Natural Computation , pp. 150-154
    • Jie, J.1    Zeng, J.2
  • 31
    • 0040738477 scopus 로고
    • i] be computed in less than O(n log n) steps?
    • i] be computed in less than O(n log n) steps? Am. Math. Mon. 84 1977 284 285
    • (1977) Am. Math. Mon. , vol.84 , pp. 284-285
    • Klee, V.1
  • 33
    • 59149100146 scopus 로고    scopus 로고
    • Dynamic population variation in genetic programming
    • P. Kouchakpour, A. Zaknich, and T. Bräunl Dynamic population variation in genetic programming Inform. Sci. 179 2009 1078 1091
    • (2009) Inform. Sci. , vol.179 , pp. 1078-1091
    • Kouchakpour, P.1    Zaknich, A.2    Bräunl, T.3
  • 34
    • 0037403516 scopus 로고    scopus 로고
    • Measures of diversity in classifier ensembles and their relationship with the ensemble accuracy
    • L.I. Kuncheva, and C.J. Whitaker Measures of diversity in classifier ensembles and their relationship with the ensemble accuracy Mach. Learn. 51 2003 181 207
    • (2003) Mach. Learn. , vol.51 , pp. 181-207
    • Kuncheva, L.I.1    Whitaker, C.J.2
  • 35
    • 79953291021 scopus 로고    scopus 로고
    • On Population Diversity Measures
    • Politecnico di Milano, Dipartimento di Eletrronica e Informazione
    • B. Lacevic, E. Amaldi, On Population Diversity Measures, Technical Report, Politecnico di Milano, Dipartimento di Eletrronica e Informazione, 2009. .
    • (2009) Technical Report
    • Lacevic, B.1    Amaldi, E.2
  • 38
    • 34249820234 scopus 로고    scopus 로고
    • A note on optimal point distributions in [0, 1)s
    • G. Larcher, and F. Pillichshammer A note on optimal point distributions in [0, 1)s J. Comput. Appl. Math. 206 2007 977 985
    • (2007) J. Comput. Appl. Math. , vol.206 , pp. 977-985
    • Larcher, G.1    Pillichshammer, F.2
  • 41
    • 0009819641 scopus 로고
    • The measure problem for rectangular ranges in d-space
    • J. van Leeuwen, and D. Wood The measure problem for rectangular ranges in d-space J. Algorithms 2 1981 282 300
    • (1981) J. Algorithms , vol.2 , pp. 282-300
    • Van Leeuwen, J.1    Wood, D.2
  • 42
    • 0034240488 scopus 로고    scopus 로고
    • Multiobjective programming using uniform design and genetic algorithm
    • Y.W. Leung, and Y. Wang Multiobjective programming using uniform design and genetic algorithm IEEE Trans. Syst. Man Cybernet. C: Appl. Rev. 30 2000 293 304
    • (2000) IEEE Trans. Syst. Man Cybernet. C: Appl. Rev. , vol.30 , pp. 293-304
    • Leung, Y.W.1    Wang, Y.2
  • 44
    • 52949139054 scopus 로고    scopus 로고
    • Replacement strategies to preserve useful diversity in steady-state genetic algorithms
    • M. Lozano, F. Herrera, and J.R. Cano Replacement strategies to preserve useful diversity in steady-state genetic algorithms Inform. Sci. 178 2008 4421 4433
    • (2008) Inform. Sci. , vol.178 , pp. 4421-4433
    • Lozano, M.1    Herrera, F.2    Cano, J.R.3
  • 46
    • 70450014923 scopus 로고    scopus 로고
    • Diversity enhanced adaptive evolutionary programming for solving single objective constrained problems
    • R. Mallipeddi, P. Suganthan, B. Qu, Diversity enhanced adaptive evolutionary programming for solving single objective constrained problems, in: CEC '09. IEEE Congress on Evolutionary Computation, 2009, pp. 2106-2113.
    • (2009) CEC '09. IEEE Congress on Evolutionary Computation , pp. 2106-2113
    • Mallipeddi, R.1    Suganthan, P.2    Qu, B.3
  • 47
    • 0000382131 scopus 로고    scopus 로고
    • 2-discrepancy for anchored boxes
    • 2-discrepancy for anchored boxes J. Complex. 14 1998 527 556
    • (1998) J. Complex. , vol.14 , pp. 527-556
    • Matoušek, J.1
  • 48
    • 10444253956 scopus 로고    scopus 로고
    • Measures of diversity for populations and distances between individuals with highly reorganizable genomes
    • DOI 10.1162/1063656043138923
    • C. Mattiussi, M. Waibel, and D. Floreano Measures of diversity for populations and distances between individuals with highly reorganizable genomes Evol. Comput. 12 2004 495 515 (Pubitemid 39634697)
    • (2004) Evolutionary Computation , vol.12 , Issue.4 , pp. 495-515
    • Mattiussi, C.1    Waibel, M.2    Floreano, D.3
  • 49
    • 0032020685 scopus 로고    scopus 로고
    • Renyi's entropy as an index of diversity in simple-stage cluster sampling
    • PII S0020025597100251
    • M.M. Mayoral Renyi's entropy as an index of diversity in simple-stage cluster sampling Inform. Sci. 105 1998 101 114 (Pubitemid 128383798)
    • (1998) Information Sciences , vol.105 , Issue.1-4 , pp. 101-114
    • Mayoral, M.M.1
  • 51
    • 0033880121 scopus 로고    scopus 로고
    • Genetic algorithms for ambiguous labelling problems
    • DOI 10.1016/S0031-3203(99)00080-1
    • R. Myers, and E.R. Hancock Genetic algorithms for ambiguous labelling problems Pattern Recognit. 33 2000 685 704 (Pubitemid 30553117)
    • (2000) Pattern Recognition , vol.33 , Issue.4 , pp. 685-704
    • Myers, R.1    Hancock, E.R.2
  • 52
    • 0031171568 scopus 로고    scopus 로고
    • A computationally convenient diversity measure: Theory and application
    • H. Onal A computationally convenient diversity measure: theory and application Environ. Resour. Econ. 9 1997 409 427 (Pubitemid 27340995)
    • (1997) Environmental and Resource Economics , vol.9 , Issue.4 , pp. 409-427
    • Onal, H.1
  • 54
    • 0026406169 scopus 로고
    • New upper bounds in Klee's measure problem
    • M.H. Overmars, and C.K. Yap New upper bounds in Klee's measure problem SIAM J. Comput. 20 1991 1034 1045
    • (1991) SIAM J. Comput. , vol.20 , pp. 1034-1045
    • Overmars, M.H.1    Yap, C.K.2
  • 55
    • 61449099344 scopus 로고    scopus 로고
    • Bio-inspired and gradient-based algorithms to train MLPs: The influence of diversity
    • R. Pasti, and L.N. deCastro Bio-inspired and gradient-based algorithms to train MLPs: the influence of diversity Inform. Sci. 179 2009 1441 1453
    • (2009) Inform. Sci. , vol.179 , pp. 1441-1453
    • Pasti, R.1    Decastro, L.N.2
  • 58
    • 77953651003 scopus 로고    scopus 로고
    • Multi-objective evolutionary algorithms based on the summation of normalized objectives and diversified selection
    • B.Y. Qu, and P.N. Suganthan Multi-objective evolutionary algorithms based on the summation of normalized objectives and diversified selection Inform. Sci. 180 2010 3170 3181
    • (2010) Inform. Sci. , vol.180 , pp. 3170-3181
    • Qu, B.Y.1    Suganthan, P.N.2
  • 59
    • 4344575392 scopus 로고    scopus 로고
    • A Diversity-Guided Particle Swarm Optimizer - The ARPSO
    • Department of Computer Science, University of Aarhus, EVALife
    • J. Riget, J. Vesterstrm, A Diversity-Guided Particle Swarm Optimizer - The ARPSO, Technical Report, Department of Computer Science, University of Aarhus, EVALife, 2002.
    • (2002) Technical Report
    • Riget, J.1    Vesterstrm, J.2
  • 64
    • 33749018252 scopus 로고    scopus 로고
    • An analysis of diversity measures
    • DOI 10.1007/s10994-006-9449-2
    • E.K. Tang, P.N. Suganthan, and X. Yao An analysis of diversity measures Mach. Learn. 65 2006 247 271 (Pubitemid 44451200)
    • (2006) Machine Learning , vol.65 , Issue.1 , pp. 247-271
    • Tang, E.K.1    Suganthan, P.N.2    Yao, X.3
  • 67
    • 22144473727 scopus 로고    scopus 로고
    • Tree-size diversity between single- and mixed-species stands in three forest types in western Canada
    • DOI 10.1139/x04-193
    • P. Varga, H.Y. Chen, and K. Klinka Tree-size diversity between single- and mixed-species stands in three forest types in western Canada Can. J. Forest Res. 35 2005 593 601 (Pubitemid 40968577)
    • (2005) Canadian Journal of Forest Research , vol.35 , Issue.3 , pp. 593-601
    • Varga, P.1    Chen, H.Y.H.2    Klinka, K.3
  • 68
    • 49849096836 scopus 로고    scopus 로고
    • A diversity maintaining population-based incremental learning algorithm
    • M. Ventresca, and H.R. Tizhoosh A diversity maintaining population-based incremental learning algorithm Inform. Sci. 178 2008 4038 4056
    • (2008) Inform. Sci. , vol.178 , pp. 4038-4056
    • Ventresca, M.1    Tizhoosh, H.R.2
  • 73
    • 77954177046 scopus 로고    scopus 로고
    • Information entropy measures for stand structural diversity: Joint entropy
    • L. Xiangdong, and L. Yuanchang Information entropy measures for stand structural diversity: joint entropy Forestry Stud. China 6 2004 12 15
    • (2004) Forestry Stud. China , vol.6 , pp. 12-15
    • Xiangdong, L.1    Yuanchang, L.2
  • 75
    • 0001154535 scopus 로고
    • On constructing minimum spanning trees in k-dimensional spaces and related problems
    • A.C.C. Yao On constructing minimum spanning trees in k-dimensional spaces and related problems SIAM J. Comput. 11 1982 721 736
    • (1982) SIAM J. Comput. , vol.11 , pp. 721-736
    • Yao, A.C.C.1
  • 76
    • 70449786929 scopus 로고    scopus 로고
    • Diversity enhanced particle swarm optimizer for global optimization of multimodal problems
    • S. Zhao, P. Suganthan, Diversity enhanced particle swarm optimizer for global optimization of multimodal problems, in: CEC '09. IEEE Congress on Evolutionary Computation, 2009, pp. 590-597.
    • (2009) CEC '09. IEEE Congress on Evolutionary Computation , pp. 590-597
    • Zhao, S.1    Suganthan, P.2
  • 77
    • 23044461818 scopus 로고    scopus 로고
    • Population diversity in permutation-based genetic algorithm
    • K.Q. Zhu, Z. Liu, Population diversity in permutation-based genetic algorithm, in: European Conference on Machine Learning, pp. 537-547.
    • European Conference on Machine Learning , pp. 537-547
    • Zhu, K.Q.1    Liu, Z.2
  • 79
    • 24044547645 scopus 로고    scopus 로고
    • Controlling the diversity in classifier ensembles through a measure of agreement
    • DOI 10.1016/j.patcog.2005.02.012, PII S003132030500097X
    • H. Zouari, L. Heutte, and Y. Lecourtier Controlling the diversity in classifier ensembles through a measure of agreement Pattern Recognit. 38 2005 2195 2199 (Pubitemid 41214656)
    • (2005) Pattern Recognition , vol.38 , Issue.11 , pp. 2195-2199
    • Zouari, H.1    Heutte, L.2    Lecourtier, Y.3


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