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Hyperbolic embeddings offer excellent quality with few dimensions when embedding hierarchical data structures like synonym or type hierarchies.
Studies in the robustness of multidimensional scaling: Procrustes statistics
R. Sibson · 1978
Earlier work this paper cites.
Studies in the robustness of multidimensional scaling: Perturbational analysis of classical scaling
R. Sibson · 1979
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Hyperbolic groups
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Lectures on Hyperbolic Geometry
R. Benedetti and C. Petronio · 1992
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Earlier work this paper cites.
The geometry of graphs and some of its algorithmic applications
N. Linial, E. London, and Y. Rabinovich · 1995
Earlier work this paper cites.
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J. Conway and N. J. A. Sloane · 1999
Earlier work this paper cites.
Authoritative sources in a hyperlinked environment
J. Kleinberg · 1999
Earlier work this paper cites.
Lethality and centrality in protein networks
H. Jeong, S.P. Mason, A.L. Barabasi, and Z.N. Oltvai · 2001
Earlier work this paper cites.
Principal geodesic analysis for the study of nonlinear statistics of shape
P. Fletcher, C. Lu, S. Pizer, and S. Joshi · 2004
Earlier work this paper cites.
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J. A. Walter · 2004
Earlier work this paper cites.
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Earlier work this paper cites.
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The network data repository with interactive graph analytics and visualization
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First insights in the diversity of certain mosses colonising modern building surfaces by use of genetic barcoding
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