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Titlebook: Universal Time-Series Forecasting with Mixture Predictors; Daniil Ryabko Book 2020 Springer Nature Switzerland AG 2020 Time Series.Forecas

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发表于 2025-3-21 19:08:06 | 显示全部楼层 |阅读模式
书目名称Universal Time-Series Forecasting with Mixture Predictors
编辑Daniil Ryabko
视频video
概述Considers problem of sequential probability forecasting in the most general setting.Results presented concern the foundations of problems in areas such as machine learning, information theory and data
丛书名称SpringerBriefs in Computer Science
图书封面Titlebook: Universal Time-Series Forecasting with Mixture Predictors;  Daniil Ryabko Book 2020 Springer Nature Switzerland AG 2020 Time Series.Forecas
描述The author considers the problem of sequential probability forecasting in the most general setting, where the observed data may exhibit an arbitrary form of stochastic dependence. All the results presented are theoretical, but they concern the foundations of some problems in such applied areas as machine learning, information theory and data compression.
出版日期Book 2020
关键词Time Series; Forecasting; Bayesian Predictors; Machine Learning Theory; Statistics; Information Theory; No
版次1
doihttps://doi.org/10.1007/978-3-030-54304-4
isbn_softcover978-3-030-54303-7
isbn_ebook978-3-030-54304-4Series ISSN 2191-5768 Series E-ISSN 2191-5776
issn_series 2191-5768
copyrightSpringer Nature Switzerland AG 2020
The information of publication is updating

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发表于 2025-3-21 23:16:07 | 显示全部楼层
Prediction in Total Variation: Characterizations,possible to provide complete characterizations of those sets of measures . for which predictors exist (realizable case). The non-realizable case turns out to be somewhat degenerate as the asymptotic error in total variation is either 0 or 1. These and related results are exhibited in this chapter.
发表于 2025-3-22 02:15:44 | 显示全部楼层
2191-5768 setting, where the observed data may exhibit an arbitrary form of stochastic dependence. All the results presented are theoretical, but they concern the foundations of some problems in such applied areas as machine learning, information theory and data compression.978-3-030-54303-7978-3-030-54304-4Series ISSN 2191-5768 Series E-ISSN 2191-5776
发表于 2025-3-22 05:23:48 | 显示全部楼层
Introduction,., after which the process continues sequentially. We are interested in constructing predictors . whose conditional probabilities .(⋅|.., …, ..) converge (in some sense) to the “true” .-conditional probabilities .(⋅|.., …, ..), as the sequence of observations increases (. →.). We would also like this convergence to be as fast as possible.
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Conditions Under Which One Measure Is a Predictor for Another,orem .): absolute continuity is preserved under summation with arbitrary measure as follows directly from its definition (Definition .). For KL divergence, it is guaranteed by (.). Here we show that for other losses this is not necessarily the case.
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Notation and Definitions, …, ... We consider stochastic processes (probability measures) on . where . is the sigma-field generated by the (countable) set . of cylinders, . where the words .. take all possible values in .. We use . for expectation with respect to a measure ..
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