Nonextensive Information Theoretic Kernels on Measures

By André F. T. Martins, Noah A. Smith, Eric P. Xing, Pedro M. Q. Aguiar, Mário A. T. Figueiredo. 2009

115 citations recorded by the source corpus.

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Citations in the corpus

Kernel Mean Embedding of Distributions: A Review and Beyonds (2016, background): “Recently, Martins et al. (2009) introduced nonextensive information theoretic kernels on probability measures based on new Jensen-Shannon-type divergences.”
Learning Theory for Distribution Regression (2014, background): “This category includes work on semigroup kernels (Cuturi et al., 2005), nonextensive information theoretical kernel constructions (Martins et al., 2009), and kernels based on Hilbertian metrics (Hein and Bousquet, 2005).”
Learning Classifiers with Fenchel-Young Losses: Generalized Entropies, Margins, and Algorithms (2018, background): “We provide more examples in § A. Tsallis α -entropies (Tsallis, 1988).”
Universal Kernels on Non-Standard Input Spaces (2010, methodology): “histograms, as input samples have been used to analyze histogram data such as colored images, see [5, 11, 14, 12, 27, 29], and also [17] for nonextensive information theoretic kernels on measures.”
From Dependence to Causation (2016, background): “In a separate strand of research, there has been multiple proposals to learn from probability distributions (Jebara et al., 2004; Hein and Bousquet, 2005; Cuturi et al., 2005; Martins et al., 2009; Muandet et al., 2012; Póczos et al., 2013).”
Towards a Learning Theory of Cause-Effect Inference (2015, background): “In a separate strand of research, there has been several attempts to learn from probability distributions in a principled manner (Jebara et al., 2004; Hein & Bousquet, 2004; Cuturi et al., 2005; Martins et al., 2009; Muandet et al., 2012).”
Proposal : Scalable , Active and Flexible Learning on Distributions (2015, unknown): “A Jensen-Rényi divergence, defined by replacing with α in the definition of , has also been studied (Martins et al. 2009), but we will not consider it here.”