A method is described for determining the optimal short-term prediction time-delay embedding dimension for a scalar time series by training an artificial neural network on the data and then determining the sensitivity of the output of the network to each time lag averaged over the data set. As a byp
Practical method for determining the minimum embedding dimension of a scalar time series
β Scribed by Liangyue Cao
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 553 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0167-2789
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β¦ Synopsis
A practical method is proposed to determine the minimum embedding dimension from a scalar time series. It has the following advantages: (1) does not contain any subjective parameters except for the time-delay for the embedding; (2) does not strongly depend on how many data points are available; (3) can clearly distinguish deterministic signals from stochastic signals; (4) works well for time series from high-dimensional attractors; ( ) is computationally efficient. Several time series are tested to show the above advantages of the method.
π SIMILAR VOLUMES
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