Probabilistic embedding of discrete sets as continuous metric spaces
Blanchard P, Volchenkov D (2009)
Stochastics: An International Journal of Probability and Stochastic Processes 81(3-4): 259-268.
Zeitschriftenaufsatz
| Veröffentlicht | Englisch
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Einrichtung
Abstract / Bemerkung
Any symmetric affinity function w : V x V -> R+ defined on a discrete set V induces Euclidean space structure on V. In particular, an undirected graph specified by an affinity (or adjacency) matrix can be considered as a metric topological space. We have calculated the visual representations of the probabilistic locus for a chain, a polyhedron and a finite 2D lattice.
Stichworte
Euclidean space;
random walk;
probabilistic analogue
Erscheinungsjahr
2009
Zeitschriftentitel
Stochastics: An International Journal of Probability and Stochastic Processes
Band
81
Ausgabe
3-4
Seite(n)
259-268
ISSN
1744-2508
eISSN
1744-2516
Page URI
https://pub.uni-bielefeld.de/record/1794448
Zitieren
Blanchard P, Volchenkov D. Probabilistic embedding of discrete sets as continuous metric spaces. Stochastics: An International Journal of Probability and Stochastic Processes. 2009;81(3-4):259-268.
Blanchard, P., & Volchenkov, D. (2009). Probabilistic embedding of discrete sets as continuous metric spaces. Stochastics: An International Journal of Probability and Stochastic Processes, 81(3-4), 259-268. https://doi.org/10.1080/17442500902917326
Blanchard, Philippe, and Volchenkov, Dimitry. 2009. “Probabilistic embedding of discrete sets as continuous metric spaces”. Stochastics: An International Journal of Probability and Stochastic Processes 81 (3-4): 259-268.
Blanchard, P., and Volchenkov, D. (2009). Probabilistic embedding of discrete sets as continuous metric spaces. Stochastics: An International Journal of Probability and Stochastic Processes 81, 259-268.
Blanchard, P., & Volchenkov, D., 2009. Probabilistic embedding of discrete sets as continuous metric spaces. Stochastics: An International Journal of Probability and Stochastic Processes, 81(3-4), p 259-268.
P. Blanchard and D. Volchenkov, “Probabilistic embedding of discrete sets as continuous metric spaces”, Stochastics: An International Journal of Probability and Stochastic Processes, vol. 81, 2009, pp. 259-268.
Blanchard, P., Volchenkov, D.: Probabilistic embedding of discrete sets as continuous metric spaces. Stochastics: An International Journal of Probability and Stochastic Processes. 81, 259-268 (2009).
Blanchard, Philippe, and Volchenkov, Dimitry. “Probabilistic embedding of discrete sets as continuous metric spaces”. Stochastics: An International Journal of Probability and Stochastic Processes 81.3-4 (2009): 259-268.
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