Entropies and cross-entropies of exponential families

Proceedings - International Conference on Image Processing, ICIP

Volumn , Issue , 2010, Pages 3621-3624

  Nielsen, Frank ^a   Nock, Richard ^b  

^a SONY COMPUTER SCIENCE LABORATORIES INC   (Japan)

^b UNIVERSITÉ DES ANTILLES ET DE LA GUYANE   (France)

Author keywords

Bregman divergence; Cross entropy; Entropy; Legendre transformation; Maximum entropy; Mixtures; Relative entropy

Indexed keywords

ENTROPY; IMAGE SEGMENTATION; MAXIMUM ENTROPY METHODS; MIXTURES; OBJECT DETECTION;

BREGMAN DIVERGENCES; CROSS ENTROPY; EXPONENTIAL FAMILY DISTRIBUTIONS; GEOMETRIC INTERPRETATION; LEGENDRE TRANSFORMATIONS; MATHEMATICAL EXPRESSIONS; NATURAL IMAGE STATISTICS; RELATIVE ENTROPY;

POISSON DISTRIBUTION;

EID: 78651071330     PISSN: 15224880     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ICIP.2010.5652054     Document Type: Conference Paper

References (5)

1. F. Nielsen, "Visual Computing: Geometry, Graphics and Vision," Charles River Media, ISBN 1584504277, 2005.
2. N. Bouguila, "Non-Gaussian mixture image models prediction," in International Conference on Image Processing (ICIP), 2008, pp. 2580-2583.
3. N. A. Ahmed and D. V. Gokhale, "Entropy expressions and their estimators for multivariate distributions," IEEE Transactions on Information Theory, vol. 35, no. 3, pp. 688-692, 1989.
4. F. Nielsen and V. Garcia, "Statistical exponential families: A digest with flash cards," 2009, arXiv, 0911.4863.
5. F. Nielsen and S. Boltz, "The Burbea-Rao and Bhattacharyya centroids," 2010, arXiv:1004.5049.