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This is the preliminary program for the 2007 Joint Statistical Meetings in Salt Lake City, Utah.

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Activity Number: 490
Type: Invited
Date/Time: Thursday, August 2, 2007 : 8:30 AM to 10:20 AM
Sponsor: IMS
Abstract - #307941
Title: Aggregating Algorithms for Individual Sequences
Author(s): Nicolò Cesa-Bianchi*+
Companies: Università degli Studi di Milano
Address: Dipartimento di Scienze dell'Informazione, Milano, 20135, Italy
Keywords:
Abstract:

Prediction with expert advice is concerned with the design and analysis of aggregating algorithms without imposing any probabilistic assumption on the data-generating mechanism. The performance bounds that can be proven in such a general framework are surprisingly strong. Typically, these bounds depend on quantities that are empirical versions of analogous entities arising in statistical aggregation problems. We will review a number of results in prediction of individual sequences, including some recent results where the regret is bounded in terms of empirical variances. We will also describe some simple techniques for converting any individual sequence aggregation bound into a corresponding bound for i.i.d. sources. These techniques are effective, in the sense that little processing is required besides the computation performed by the original individual sequence algorithm.


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Revised September, 2007