The Weighted Majority Algorithm


The Weighted Majority Algorithm pdf

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The Weighted Majority Algorithm


The Weighted Majority Algorithm

Author: Nick Littlestone

language: en

Publisher:

Release Date: 1991


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Abstract: "We study the construction of prediction algorithms in a situation in which a learner faces a sequence of trials, with a prediction to be made in each, and the goal of the learner is to make few mistakes. We are interested in the case that the learner has reason to believe that one of some pool of known algorithms will perform well, but the learner does not know which one. A simple and effective method, based on weighted voting, is introduced for constructing a compound algorithm in such a circumstance. We call this method the Weighted Majority Algorithm. We show that this algorithm is robust in the presence of errors in the data. We discuss various versions of the Weighted Majority Algorithm and prove mistake bounds for them that are closely related to the mistake bounds of the best algorithms of the pool. For example, given a sequence of trials, if there is an algorithm in the pool A that makes at most m mistakes then the Weighted Majority Algorithm will make at most c(log[absolute value of A]+m) mistakes on that sequence, where c is fixed constant."

The Weighted Majority Algorithm


The Weighted Majority Algorithm

Author: Nick Littlestone

language: en

Publisher:

Release Date: 1989


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For example, given a sequence of trials, if there is an algorithm in the pool A that makes at most m mistakes then the Weighted Majority Algorithm will make at most c(log [absolute value of A] + m) mistakes on that sequence, where c is fixed constant."

Algorithms and Theory of Computation Handbook


Algorithms and Theory of Computation Handbook

Author: Mikhail J. Atallah

language: en

Publisher: CRC Press

Release Date: 1998-11-23


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Algorithms and Theory of Computation Handbook is a comprehensive collection of algorithms and data structures that also covers many theoretical issues. It offers a balanced perspective that reflects the needs of practitioners, including emphasis on applications within discussions on theoretical issues. Chapters include information on finite precision issues as well as discussion of specific algorithms where algorithmic techniques are of special importance, including graph drawing, robotics, forming a VLSI chip, vision and image processing, data compression, and cryptography. The book also presents some advanced topics in combinatorial optimization and parallel/distributed computing. • applications areas where algorithms and data structuring techniques are of special importance • graph drawing • robot algorithms • VLSI layout • vision and image processing algorithms • scheduling • electronic cash • data compression • dynamic graph algorithms • on-line algorithms • multidimensional data structures • cryptography • advanced topics in combinatorial optimization and parallel/distributed computing