Geometric Radar Processing based on Fréchet distance: Information geometry versus Optimal Transport Theory

International Radar Symposium, IRS 2011 - Proceedings

Volumn , Issue , 2011, Pages 663-668

  Barbaresco, Frédéric ^a  

^a THALES   (France)

Author keywords

[No Author keywords available]

Indexed keywords

GAUSSIAN LAW; INFORMATION GEOMETRY; NEGATIVE CURVATURE; OPTIMAL TRANSPORT; RADAR PROCESSING;

OPTIMIZATION; RADAR; STATISTICAL MECHANICS;

GEOMETRY;

EID: 80755180696     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (12)

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3. P. Levy, "Distance de deux variables aléatoires et distance de deux lois de probabilité", Généralités sur les probabilités de variables aléatoires, Ed. M. Fréchet, Gauthier-Villars, Paris, p. 286-301, 1937
4. R. Fortet and E. Mourier, "Convergence de la répartition empirique vers la répartition théorique", Ann. Sci. Ecole Norm. Sup. No 70, p.267-285, 1953
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9. A. Takatsu, "Wasserstein geometry of Gaussian measures", to appear in Osaka J. Math., 2011
10. M. Calvo & J.M. Oller, "A Distance between Multivariate Normal Distribution Based in an Embedding into the Siegel Group", Jour. of Multivariate Analysis, vol.35, no 2, p.223-242, 1990
11. M. Agueh & G. Carlier, "Barycenters in the Wasserstein Space", SIAM J. Math. Anal., 2011
12. th SMAI 2011, http://smai.emath.fr/smai2011/ slides/barbaresco/Slides.pdf