2 resultados para Bernstein, Leonard, 1918-

em Queensland University of Technology - ePrints Archive


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In this article, Brian Hudson relates how he came to write the paper published in the journal Antipode, for which he gained recognition as a radical geographer in the late 1970's. It is a tale of a journey in which the loves of his life, geography, history, travel and his wife of over 40 years, came together through living in a number of different places: the United Kingdom, Ghana, Hong Kong, and Jamaica. After leaving UWI, Brian and his family settled in Brisbane, Australia where he taught at Queensland University of Technology until his retirement.

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We present PAC-Bayes-Empirical-Bernstein inequality. The inequality is based on combination of PAC-Bayesian bounding technique with Empirical Bernstein bound. It allows to take advantage of small empirical variance and is especially useful in regression. We show that when the empirical variance is significantly smaller than the empirical loss PAC-Bayes-Empirical-Bernstein inequality is significantly tighter than PAC-Bayes-kl inequality of Seeger (2002) and otherwise it is comparable. PAC-Bayes-Empirical-Bernstein inequality is an interesting example of application of PAC-Bayesian bounding technique to self-bounding functions. We provide empirical comparison of PAC-Bayes-Empirical-Bernstein inequality with PAC-Bayes-kl inequality on a synthetic example and several UCI datasets.