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Carole J. Twining, Christopher J. Taylor, "Specificity: A GraphBased Estimator of Divergence," IEEE Transactions on Pattern Analysis and Machine Intelligence, vol. 33, no. 12, pp. 24922505, December, 2011.  
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@article{ 10.1109/TPAMI.2011.90, author = {Carole J. Twining and Christopher J. Taylor}, title = {Specificity: A GraphBased Estimator of Divergence}, journal ={IEEE Transactions on Pattern Analysis and Machine Intelligence}, volume = {33}, number = {12}, issn = {01628828}, year = {2011}, pages = {24922505}, doi = {http://doi.ieeecomputersociety.org/10.1109/TPAMI.2011.90}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Pattern Analysis and Machine Intelligence TI  Specificity: A GraphBased Estimator of Divergence IS  12 SN  01628828 SP2492 EP2505 EPD  24922505 A1  Carole J. Twining, A1  Christopher J. Taylor, PY  2011 KW  Specificity KW  generalization KW  assessment of modeling KW  graphbased estimators KW  entropy estimation KW  estimation of statistical distance KW  estimation of divergence KW  nearestneighbor estimators KW  cross entropy KW  KullbackLeibler divergence. VL  33 JA  IEEE Transactions on Pattern Analysis and Machine Intelligence ER   
[1] A. Bhattacharyya, "On a Measure of Divergence Between Two Statistical Populations Defined by Their Probability Distribution," Bull. of the Calcutta Math. Soc., vol. 35, pp. 99110, 1943.
[2] T. Kailath, "The Divergence and Bhattacharyya Distance Measures in Signal Selection," IEEE Trans. Comm. Technology, vol. 15, no. 1, pp. 5260, Feb. 1967.
[3] E. Hellinger, "Neue Begründung der Theorie Quadratischer Formen von Unendlichenvielen Veränderlichen," J. für die Reine und Angewandte Mathematik, vol. 136, pp. 210271, 1909.
[4] K. Matusita, "Decision Rules Based on Distance for Problems of Fit, Two Samples and Estimation," Annals of Math. Statistics, vol. 26, pp. 631641, 1955.
[5] A. Rényi, "On Measures of Entropy and Information," Proc. Fourth Berkeley Symp. Math. Statistics and Probability, vol. 1, pp. 547561, 1961.
[6] S. Kullback and R.A. Leibler, "On Information and Sufficiency," Annals of Math. Statistics, vol. 22, pp. 7986, 1951.
[7] I. Csiszár, "InformationType Measures of Difference of Probability Distributions and Indirect Observations," Studia Scientiarum Mathematicarum Hungarica, vol. 2, pp. 299318, 1967.
[8] S.M. Ali and S.D. Silvey, "A General Class of Coefficients of Divergence of One Distribution from Another," J. Royal Statistical Soc., Series B, vol. 28, pp. 131142, 1966.
[9] T.F. Cootes, C.J. Taylor, D.H. Cooper, and J. Graham, "Training Models of Shape from Sets of Examples," Proc. 13th British Machine Vision Conf., pp. 918, 1992.
[10] T.F. Cootes, C.J. Taylor, D.H. Cooper, and J. Graham, "Active Shape Models—Their Training and Application," Computer Vision and Image Understanding, vol. 61, no. 1, pp. 3859, 1995.
[11] C. Brechbühler, G. Gerig, and O. Kübler, "Parametrization of Closed Surfaces for 3D Shape Description," Computer Vision and Image Understanding, vol. 61, no. 2, pp. 154170, 1995.
[12] S.M. Pizer, D. Eberly, D.S. Fritsch, and B.S. Morse, "ZoomInvariant Vision of Figural Shape: The Mathematics of Cores," Computer Vision and Image Understanding, vol. 69, pp. 5571, 1998.
[13] Medial Representations: Mathematics, Algorithms and Applications, K. Siddiqi and S. Pizer, eds., Springer, 2008.
[14] R.H. Davies, C.J. Twining, P.D. Allen, T.F. Cootes, and C.J. Taylor, "Shape Discrimination in the Hippocampus Using an MDL Model," Proc. 18th Conf. Information Processing in Medical Imaging, pp. 3850, 2003.
[15] M.A. Styner, K.T. Rajamani, L.P. Nolte, G. Zsemlye, G. Szekely, C.J. Taylor, and R.H. Davies, "Evaluation of 3D Correspondence Methods for Model Building," Proc. 18th Conf. Information Processing in Medical Imaging, pp. 6375, 2003.
[16] Y. Fu, W. Gao, Y. Xiao, and J. Liu, "A Framework for Automatic Construction of 3D PDM from Segmented Volumetric Neuroradiological Data Sets," Computer Methods and Programs in Biomedicine, vol. 97, no. 3, pp. 199210, 2010.
[17] L. Shi, D. Wang, P. Heng, T.T. Wong, W.C.W. Chu, B.H.Y. Yeung, and J.C.Y. Cheng, "Landmark Correspondence Optimization for Coupled Surfaces," Proc. 10th Int'l Conf. Medical Image Computing and ComputerAssisted Intervention, pp. 818825, 2007.
[18] R. Schestowitz, C.J. Twining, T. Cootes, V. Petrovic, C.J. Taylor, and W.R. Crum, "Assessing the Accuracy of NonRigid Registration with and Without Ground Truth," Proc. IEEE Third Int'l Symp. Biomedical Imaging: From Nano to Macro, pp. 836839, 2006.
[19] A. Hero, B. Ma, O. Michel, and J. Gorman, "Applications of Entropic Spanning Graphs," IEEE Signal Processing Magazine, vol. 19, no. 5, pp. 8595, Sept. 2002.
[20] A. Hero and O.J.J. Michel, "Estimation of Rényi Information Divergence via Pruned Minimal Spanning Trees," Proc. IEEE Signal Processing Workshop Higher Order Statistics, pp. 264268, 1999.
[21] A. Hero, B. Ma, O. Michel, and J. Gorman, "AlphaDivergence for Classification, Indexing and Retrieval," Technical Report CSPL328, Comm. and Signal Processing Laboratory, The Univ. of Michigan, 2001.
[22] O. Michel, A. Hero, and P. Flandrin, "Graphes de Représentations Minimaux, Entropies et Divergences: Applications," Traitement du Signal, vol. 17, no. 4, pp. 287297, 2000.
[23] N. Leonenko, L. Pronzato, and V. Savani, "A Class of Rényi Information Estimators for Multidimensional Densities," Annals of Statistics, vol. 36, no. 5, pp. 21532182, 2008.
[24] Q. Wang, S. Kulkarni, and S. Verdú, "Divergence Estimation for Multidimensional Densities via KNearestNeighbor Distances," IEEE Trans. Information Theory, vol. 55, no. 5, pp. 23922405, May 2009.
[25] C.J. Twining and C.J. Taylor, "Specificity as a GraphBased Estimator of CrossEntropy and KL Divergence," Proc. 17th British Machine Vision Conf., vol. 2, pp. 459468, 2006.
[26] R. Davies, C. Twining, and C. Taylor, Statistical Models of Shape: Optimisation and Evaluation. Springer, 2008.
[27] J.M. Steele, Probability Theory and Combinatorial Optimization. SIAM, 1997.
[28] J.M. Steele, "Growth Rates of Euclidean Minimal Spanning Trees with Power Weighted Edges," The Annals of Probability, vol. 16, no. 4, pp. 17671787, 1988.
[29] J. Beardwood, J.H. Halton, and J.M. Hammersley, "The Shortest Path through Many Points," Proc. Cambridge Philosophical Soc., vol. 55, no. 4, pp. 299327, 1959.
[30] A.R. Wade, "Explicit Laws of Large Numbers for Random NearestNeighbour Type Graphs," Advances in Applied Probability, vol. 39, no. 2, pp. 326342, 2007.
[31] K.A. Brakke, Statistics of random plane Voronoi tessellations, http://www.susqu.edu/brakke/aux/downloads/ papers vorplane.pdf, 2005.
[32] E.G. Miller, "A New Class of Entropy Estimators for MultiDimensional Densities," Proc. IEEE Int'l Conf. Acoustics, Speech, and Signal Processing, vol. 3, pp. 297300, 2003.
[33] T.F. Cootes, G.J. Edwards, and C.J. Taylor, "Active Appearance Models," IEEE Trans. Pattern Analysis and Machine Intelligence, vol. 23, no. 6, pp. 681685, June 2001.
[34] I. Craw and P. Cameron, "Parameterising Images for Recognition and Reconstruction," Proc. Second British Machine Vision Conf., pp. 367370, 1991.
[35] A. Lanitis, C.J. Taylor, and T.F. Cootes, "Automatic Tracking, Coding and Reconstruction of Human Faces, Using Flexible Appearance Models," Electronics Letters, vol. 30, no. 19, pp. 15871588, 1994.
[36] D. Rueckert, A.F. Frangi, and J.A. Schnabel, "Automatic Construction of 3D Statistical Deformation Models of the Brain Using NonRigid Registration," IEEE Trans. Medical Imaging, vol. 22, no. 8, pp. 10141025, Aug. 2003.
[37] T.F. Cootes, C.J. Twining, K.O. Babalola, and C.J. Taylor, "Diffeomorphic Statistical Shape Models," Image and Vision Computing, vol. 26, no. 3, pp. 326332, 2008.
[38] J.A. Costa and A.O. Hero, "Geodesic Entropic Graphs for Dimension and Entropy Estimation in Manifold Learning," IEEE Trans. Signal Processing, vol. 52, no. 8, pp. 22102221, Aug. 2004.
[39] D.O. Loftsgaarden and C.P. Quesenberry, "A Nonparametric Estimate of a Multivariate Density Function," Annals of Math. Statistics, vol. 36, no. 3, pp. 10491051, 1965.