Determination of System Dimensionality from Observing Near-Normal Distributions

Figure 2

Distribution of a vector component for different -ellipse models. The radius of the observed dimension (vector component) is = 0.5, as with -ball models, again 400 bin histograms are used. The radii for the different dimensions are = 0.5, = 1.0, = 0.25, = 1.5, = 0.16, = 2.0, = 0.13, = 2.5, = 0.1, = 3.0, and = 0.08. ((a)–(f)) 1-ellipse, 2-ellipse, 3-ellipse, 4-ellipse, 5-ellipse, and 11-ellipse.

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