Proceedings of the 25th International Conference on Machine Learning - ICML '08 2008
DOI: 10.1145/1390156.1390295
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Prediction with expert advice for the Brier game

Abstract: We show that the Brier game of prediction is mixable and find the optimal learning rate and substitution function for it. The resulting prediction algorithm is applied to predict results of football and tennis matches. The theoretical performance guarantee turns out to be rather tight on these data sets, especially in the case of the more extensive tennis data.

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Cited by 20 publications
(33 citation statements)
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“…We note that the use of side information in the framework of prediction with expert advice was previously addressed, e.g., in [4,11,14]. However, these approaches differ from ours, as they assume white box models, i.e., that they know how the experts make their predictions, and use a state-independent weighting.…”
Section: B State-dependent Aggregationmentioning
confidence: 98%
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“…We note that the use of side information in the framework of prediction with expert advice was previously addressed, e.g., in [4,11,14]. However, these approaches differ from ours, as they assume white box models, i.e., that they know how the experts make their predictions, and use a state-independent weighting.…”
Section: B State-dependent Aggregationmentioning
confidence: 98%
“…Constraint (13) ensures that the energy balance in the system is maintained. Equality (14) defines the state of charge in the battery based on the charge and discharge rates. Finally, box constraints (15-18) define the range of the variables.…”
Section: Controlling the Energy Flowmentioning
confidence: 99%
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“…The literature has confronted some of these challenges but many remain unresolved. 23,24,25,26,27,28 Second, in order for our results to accurately reflect what historical performance would have been, we must ensure that models produce only out-of-sample predictions -that is, models must not incorporate any insample or "future" information that would not have been knowable as of the simulated date. For example, we cannot use information about a participant's accuracy or rank in February of 2015 to predict a case from January of 2015.…”
Section: A Research Principlesmentioning
confidence: 99%
“…In [5] the methods of prediction with expert advice are applied to aggregate predictions of sports results calculated from the odds quoted by bookmakers. The numbers of bookmakers were very small, four in one empirical study and eight in another.…”
Section: Introductionmentioning
confidence: 99%