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On PAC-Bayesian Margin Bounds

Over the past few years, progress has been made in obtaining dimension independent margin bounds. In this note, we revisit the PAC-Bayesian margin bounds proposed by Langford and Shawe-Taylor [4] and later refined by McAllester [6]. In addition to simplifying some of the existing arguments, we use a tighter tail bound on the normal distribution to give an explicit margin bound that is a mild variant of the result due to McAllester [6].