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We introduce a novel parametric family of symmetric information-theoretic distances based on Jensen's inequality for a convex functional generator.
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Sriperumbudur, B., Lanckriet, G., 2009. On the convergence of the concave-convex procedure. In: Bengio, Y., Schuurmans, D., Lafferty, J., Williams, C. K. I., Culotta, A. (Eds.), Advances in Neural Information Processing Systems 22. pp. 1759–1767
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Liu, M. and Vemuri, B. C. and Amari, S.-i and Nielsen F., 2010. Total Bregman Divergence and its Applications to Shape Retrieval, IEEE CVPR 2010
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Nielsen, F., Boltz, S., 2011. The Burbea-Rao and Bhattacharyya centroids. IEEE Transactions on Information Theory 57(8), pp. 5455-5466
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Cited alongside, same era.
Banerjee, A., Merugu, S., Dhillon, I. S., Ghosh, J., 2005. Clustering with Bregman divergences. J. Mach. Learn. Res. 6, 1705–1749
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Nielsen, F., Nock, R., 2009. Sided and symmetrized Bregman centroids. IEEE Transactions on Information Theory 55(6), pp. 2048–2059
2059
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