correlation dimension

collocation in English

meaningsofcorrelationanddimension

These words are often used together. Click on the links below to explore the meanings. Or,see other collocations withcorrelationordimension.
correlation
noun[C or U]
uk
/ˌkɒr.əˈleɪ.ʃən/us
/ˌkɔːr.əˈleɪ.ʃən/
a connection or relationship between two or more facts, ...
See more atcorrelation
dimension
noun
uk
/ˌdaɪˈmen.ʃən/us
/ˌdaɪˈmen.ʃən/
a measurement of something in a particular direction, especially its height, length, ...
See more atdimension

(Definition ofcorrelationanddimensionfrom theCambridge English Dictionary© Cambridge University Press)

Examplesofcorrelation dimension

These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
A proper estimate for thecorrelationdimensionis obtained if the estimates converge to some almost constant value.
From theCambridge English Corpus
Can thecorrelationdimensionof the state probability measure be determined from the observations alone?
From theCambridge English Corpus
Estimatingcorrelationdimensionfrom a chaotic time series: when does plateau onset occur?
From theCambridge English Corpus
Fractal dimension can be quantified in terms of capacity dimension andcorrelationdimension.
From theCambridge English Corpus
Figure 5 shows estimates of thecorrelationdimensionwith respect to increasing embedding dimensions.
From theCambridge English Corpus
Thecorrelationdimensionis defined for a single time series.
From theCambridge English Corpus
However, acorrelationdimensionof above 5.5 indicates highly complex dynamics.
From theCambridge English Corpus
Clearly, thecorrelationdimensiondoes not converge to a constant value.
From theCambridge English Corpus
Thecorrelationdimensionis a measure to determine the degree of complexity of such objects.
From theCambridge English Corpus
If required, the structural model can be used to generate long series of observations, which then can be used to calculate the correlation integral andcorrelationdimension.
From theCambridge English Corpus
Thecorrelationdimensionwas found to be 2.19 0.01.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
The correlation sum is used to estimate thecorrelationdimension.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
The correlation integral is used to estimate thecorrelationdimension.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
The real utility of thecorrelationdimensionis in determining the (possibly fractional) dimensions of fractal objects.
From
Wikipedia
This example is from Wikipedia and may be reused under a CC BY-SA license.
These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors.
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