منابع مشابه
Predictability, Complexity, and Learning
We define predictive information I(pred)(T) as the mutual information between the past and the future of a time series. Three qualitatively different behaviors are found in the limit of large observation times T:I(pred)(T) can remain finite, grow logarithmically, or grow as a fractional power law. If the time series allows us to learn a model with a finite number of parameters, then I(pred)(T) ...
متن کامل1 1 Se p 20 00 Predictability , complexity and learning
We define predictive information Ipred(T ) as the mutual information between the past and the future of a time series. Three qualitatively different behaviors are found in the limit of large observation times T : Ipred(T ) can remain finite, grow logarithmically, or grow as a fractional power law. If the time series allows us to learn a model with a finite number of parameters, then Ipred(T ) g...
متن کامل0 Ju l 2 00 0 Predictability , complexity and learning
We define predictive information Ipred(T ) as the mutual information between the past and the future of a time series. Three qualitatively different behaviors are found in the limit of large observation times T : Ipred(T ) can remain finite, grow logarithmically, or grow as a fractional power law. If the time series allows us to learn a model with a finite number of parameters, then Ipred(T ) g...
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Computers are deterministic dynamical systems [1]. Among other things, that implies that one should be able to use deterministic forecast rules to predict their behavior. That statement is sometimes—but not always—true. The memory and processor loads of some simple programs are easy to predict, for example, but those of more-complex programs like gcc are not. The goal of this paper is to determ...
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The prediction of an ecosystem's response to an environmental disturbance or the artificial control of ecosystems is a challenging task in ecology. Ecological theory predicts that disturbances frequently result in unexpected responses between interacting species due to the many indirect interactions within a complex community. However, such indeterminacy appears to be unusual in nature. Here us...
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ژورنال
عنوان ژورنال: Neural Computation
سال: 2001
ISSN: 0899-7667,1530-888X
DOI: 10.1162/089976601753195969