The Topography of Multivariate Normal Mixtures
The Topography of Multivariate Normal Mixtures
The Topography of Multivariate Normal Mixtures
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Mapping<br />
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<strong>The</strong> Ridgeline Manifold<br />
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<strong>The</strong> image <strong>of</strong> this map will be denoted by and called the ridgeline<br />
surface or manifold. If<br />
one-dimensional curve.<br />
will be called the ridgeline as it is a<br />
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<strong>The</strong>orem 3. <strong>The</strong>n all the critical values <strong>of</strong> the -dimensional multivariate mixture, and<br />
hence modes, antimodes and saddlepoints, are points in .<br />
Surajit Ray Nov 2, 2004<br />
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