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General Oracle Inequalities for Gibbs Posterior with Application to Ranking

General Oracle Inequalities for Gibbs Posterior with Application to Ranking

This video was recorded at 26th Annual Conference on Learning Theory (COLT), Princeton 2013. In this paper, we summarize some recent results in Li et al. (2012), which can be used to extend an important PAC-Bayesian approach, namely the Gibbs posterior, to study the nonadditive ranking risk. The methodology is based on assumption-free risk bounds and nonasymptotic oracle inequalities, which leads to nearly optimal convergence rates and optimal model selection to balance the approximation errors and the stochastic errors.

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