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Prediction, Learning, and Games
 
 
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Prediction, Learning, and Games [Hardcover]

Nicolo Cesa-Bianchi (Author), Gabor Lugosi (Author)

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Book Description

0521841089 978-0521841085 March 13, 2006
This important new text and reference for researchers and students in machine learning, game theory, statistics and information theory offers the first comprehensive treatment of the problem of predicting individual sequences. Unlike standard statistical approaches to forecasting, prediction of individual sequences does not impose any probabilistic assumption on the data-generating mechanism. Yet, prediction algorithms can be constructed that work well for all possible sequences, in the sense that their performance is always nearly as good as the best forecasting strategy in a given reference class. The central theme is the model of prediction using expert advice, a general framework within which many related problems can be cast and discussed. Repeated game playing, adaptive data compression, sequential investment in the stock market, sequential pattern analysis, and several other problems are viewed as instances of the experts' framework and analyzed from a common nonstochastic standpoint that often reveals new and intriguing connections. Old and new forecasting methods are described in a mathematically precise way in order to characterize their theoretical limitations and possibilities.

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Editorial Reviews

Review

"Each chapter contains about two dozen inspiring problems, and the book refers to more than 300 up-to-date sources.... The book is addressed to graduate students and researchers in the fields of engineering and information, computer sciences, and data analysis; it presents both theoretical inference and practical hands-on usage of modern prediction techniques."
Stan Lipovektsy, GfK Custom Research North AmericaTechnometrics

"This book is a comprehensive treatment of current results on predicting using expert advice."
David S. Leslie, Mathematical Reviews

Book Description

The central theme here is a model of prediction using expert advice, a general framework within which many related problems can be cast and discussed, including repeated game playing, adaptive data compression, sequential investment in the stock market, and sequential pattern analysis.

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Inside This Book (learn more)
First Sentence:
Prediction, as we understand it in this book, is concerned with guessing the short-term evolution of certain phenomena. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
average forecaster, optimal forecaster, linear forecaster, approachability theorem, external regret, internal regret, regret testing, forecaster satisfies, mixable losses, regression forecaster, markov experts, label efficient prediction, logarithmic loss function, efficient forecaster, generalized regret, constantly rebalanced portfolios, cumulative regret, regret bound, static experts, forecaster run, regret converges, calibrated forecaster, randomized prediction, oblivious opponent, sequential prediction problem
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Prove Corollary
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