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# 6.18 `takens_estimator`

Syntax:

- `D = takens_estimator(pointset, query_indices, relative_range, exclude)`
- `D = takens_estimator(atria, pointset, query_indices, relative_range, exclude)`

Input arguments:

- `atria` - output of `nn_prepare` for pointset (optional) (cf. Section 6.13)
- `pointset` - a `N` by `D` double matrix containing the coordinates of the point set, organized as `N` points of dimension `D`
- `query_indices` - query points are taken out of the pointset, query_indices is a vector of length `R` which contains the indices of the query points (indices may vary from 1 to N)
- `relative_range` - search radius, relative to attractor diameter (0 relative_range 1)
- `exclude` - in case the query points are taken out of the pointset, exclude specifies a range of indices which are omitted from search. For examples if the index of the query point is 124 and exclude is set to 3, points with indices 121 to 127 are omitted from search. Using exclude = 0 means: exclude self-matches

Output arguments:

- `D` - scalar value, estimation of correlation dimension

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