The partial order by inclusion of the principal classes of dissimilarity on a finite set, and some of their basic properties
暂无分享,去创建一个
[1] Karl Menger,et al. New Foundation of Euclidean Geometry , 1931 .
[2] Gilbert Saporta,et al. L'analyse des données , 1981 .
[3] J. Berge,et al. A family of association coefficients for metric scales , 1985 .
[4] M. F. Janowitz,et al. An Order Theoretic Model for Cluster Analysis , 1978 .
[5] Charles R. Johnson,et al. Matrix analysis , 1985, Statistical Inference for Engineers and Data Scientists.
[6] Metric inequalities and the zonoid problem , 1973 .
[7] J. Carroll,et al. Spatial, non-spatial and hybrid models for scaling , 1976 .
[8] D. Kendall,et al. Mathematics in the Archaeological and Historical Sciences , 1971, The Mathematical Gazette.
[9] S. Banach,et al. Théorie des opérations linéaires , 1932 .
[10] M. Fréchet. Les dimensions d'un ensemble abstrait , 1910 .
[11] David Avis,et al. All the Facets of the Six-point Hamming Cone , 1989, Eur. J. Comb..
[12] W. S. Robinson. A Method for Chronologically Ordering Archaeological Deposits , 1951, American Antiquity.
[13] G. L. Dirichlet. Über die Reduction der positiven quadratischen Formen mit drei unbestimmten ganzen Zahlen. , 1850 .
[14] Distance à centre , 1985 .
[15] J. Gower,et al. Metric and Euclidean properties of dissimilarity coefficients , 1986 .
[16] Gildas Brossier,et al. Représentation ordonnée des classifications hiérarchiques , 1980 .
[17] Ian F. Blake,et al. Addresses for graphs , 1973, IEEE Trans. Inf. Theory.
[18] E. Holman. The relation between hierarchical and euclidean models for psychological distances , 1972 .
[19] J. Kruskal. Multidimensional scaling by optimizing goodness of fit to a nonmetric hypothesis , 1964 .
[20] L. M. Kelly,et al. The Geometry of Metric and Linear Spaces , 1975 .
[21] J. Krivine,et al. Lois stables et espaces $L^p$ , 1967 .
[22] J. S. Lew. Some counterexamples in multidimensional scaling , 1978 .
[23] I. J. Schoenberg,et al. Metric spaces and positive definite functions , 1938 .
[24] P. Buneman. A Note on the Metric Properties of Trees , 1974 .
[25] Ye.A Smolenskii. A method for the linear recording of graphs , 1963 .
[26] Bernard Van Cutsem,et al. Classification And Dissimilarity Analysis , 1994 .
[27] F. Cailliez,et al. Introduction à l'analyse des données , 1976 .
[28] E. Diday. Une représentation visuelle des classes empiétantes: les pyramides , 1986 .
[29] Pierre Baldi,et al. Embeddings of ultrametric spaces in finite dimensional structures , 1987 .
[30] Carole Durand-Lepoivre. Ordres et graphes pseudo-hiérarchiques : théorie et optimisation algorithmique , 1989 .
[31] L. Guttman. A general nonmetric technique for finding the smallest coordinate space for a configuration of points , 1968 .
[32] S. Joly,et al. Étude des puissances d'une distance , 1986 .
[33] Patrice Assouad. Sur les Inégalités Valides dans L1 , 1984, Eur. J. Comb..
[34] B. Fichet,et al. On Euclidean images of a set endowed with a preordonnance , 1987 .
[35] J. Leeuw,et al. Multidimensional Data Analysis , 1989 .
[36] Joseph L. Zinnes,et al. Theory and Methods of Scaling. , 1958 .
[37] S. Hakimi,et al. The distance matrix of a graph and its tree realization , 1972 .
[38] A. Dobson. Unrooted trees for numerical taxonomy , 1974, Journal of Applied Probability.
[39] David Avis,et al. Hypermetric Spaces and the Hamming Cone , 1981, Canadian Journal of Mathematics.
[40] A. Agresti,et al. Multiway Data Analysis , 1989 .
[41] Hans-Hermann Bock,et al. Classification and Related Methods of Data Analysis , 1988 .
[42] I. J. Schoenberg. On Certain Metric Spaces Arising From Euclidean Spaces by a Change of Metric and Their Imbedding in Hilbert Space , 1937 .
[43] M. Fréchet. Sur La Definition Axiomatique D'Une Classe D'Espaces Vectoriels Distancies Applicables Vectoriellement Sur L'Espace de Hilbert , 1935 .
[44] Elke Wilkeit,et al. Isometric embeddings in Hamming graphs , 1990, J. Comb. Theory, Ser. B.
[45] B. Fichet,et al. Structure géométrique des principaux indices de dissimilarité sur signes de présence-absence , 1984 .
[46] J. M. S. S. Pereira,et al. A note on the tree realizability of a distance matrix , 1969 .
[47] J. Leblanc. THÈSE DE 3ÈME CYCLE , 1978 .
[48] A. Dress,et al. A canonical decomposition theory for metrics on a finite set , 1992 .
[49] I. J. Schoenberg. Remarks to Maurice Frechet's Article ``Sur La Definition Axiomatique D'Une Classe D'Espace Distances Vectoriellement Applicable Sur L'Espace De Hilbert , 1935 .
[50] A. Batbedat. Les dissimilarités médas ou arbas , 1989 .
[51] Frank Critchley,et al. An order-theoretic unification and generalisation of certain fundamental bijections in mathematical classification. I , 1994 .
[52] F. Roush. Les arbres et les representations des proximites : J.-P. Barthelemy and A. Guenoche, Paris: Masson, 1988, 236 pages, 160 francs. , 1989 .
[53] Gordon M. Crippen,et al. Distance Geometry and Molecular Conformation , 1988 .
[54] John B. Kelly,et al. Products of Zero-One Matrices , 1968, Canadian Journal of Mathematics.
[56] F. Critchley. On certain linear mappings between inner-product and squared-distance matrices , 1988 .
[57] E. Diday. Croisements, ordres et ultramétriques , 1983 .
[58] Frank Critchley. On exchangeability-based equivalence relations induced by strongly Robinson and, in particular, by quadripolar Robinson dissimilarity matrices , 1994 .
[59] Wayne S. DeSarbo,et al. Tree Representations of Rectangular Proximity Matrices , 1984 .
[60] S. C. Johnson. Hierarchical clustering schemes , 1967, Psychometrika.
[61] L. E. Dor,et al. Potentials and isometric embeddings inL1 , 1976 .
[62] I. C. Lerman,et al. Les bases de la classification automatique , 1971 .
[63] C. Hermite. Extraits de lettres de M. Ch. Hermite à M. Jacobi sur différents objects de la théorie des nombres. , 1850 .
[64] J. Barthelemy,et al. On the use of ordered sets in problems of comparison and consensus of classifications , 1986 .
[65] J. Wells,et al. Embeddings and Extensions in Analysis , 1975 .
[66] D. Avis. On the Extreme Rays of the Metric Cone , 1980, Canadian Journal of Mathematics.
[67] Lawrence Hubert,et al. SOME APPLICATIONS OF GRAPH THEORY AND RELATED NON‐METRIC TECHNIQUES TO PROBLEMS OF APPROXIMATE SERIATION: THE CASE OF SYMMETRIC PROXIMITY MEASURES , 1974 .
[68] E. Degreef,et al. Trends in mathematical psychology , 1984 .
[69] R. Shepard. The analysis of proximities: Multidimensional scaling with an unknown distance function. II , 1962 .