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That token model is then used to fit a curve through the one available ROC data point.
Figure 6 shows the covering of a one-dimensional manifold (a curve) through a two-dimensional space.
Fit a curve through four data points (e.g. bitrate/PSNR are obtained for QP = 28, 32, 36 and 40).
The method for calculating the average difference between two such curves is as follows: Fit a curve through four data points (e.g. bitrate/PSNR are obtained for QP = 28, 32, 36 and 40).
Expressing the model in this way is useful since the problem of estimating g may now be regarded as that of fitting a curve through the sample means Y ¯ ( x i ).
Then there exists a curve through that is invariant and a subset of the basin of attraction of, such that is tangential to the eigenspace at, and is the graph of a strictly increasing continuous function of the first coordinate on an interval.
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Characteristically, one first eliminates errors (e.g. removes points from the record that are due to faulty observation) and then present the data in a 'neat' way, for instance by drawing a smooth curve through a set of points.
It flows eastward and southward in a wide curve through a broad valley, past Chippenham and Melksham, and it turns abruptly westward to Bradford-on-Avon.
Parsimony acts as a counterbalance to such overfitting, since a curve passing through every data point is likely to be very convoluted and hence have many adjusted parameters.
The geometric reference is a curve running through the central area and termed as the centerline of the data (Fig. 2).
A curve fit through the observation data for the road in Fig. 3a provides: ϕ R = e - 1 1250 d r o (7a where, d ro is distance from the road.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com