# The topography of multivariate normal mixtures

@article{Ray2005TheTO, title={The topography of multivariate normal mixtures}, author={Surajit Ray and Bruce G. Lindsay}, journal={Annals of Statistics}, year={2005}, volume={33}, pages={2042-2065} }

Multivariate normal mixtures provide a flexible method of fitting high-dimensional data. It is shown that their topography, in the sense of their key features as a density. can be analyzed rigorously in lower dimensions by use of a ridgeline manifold that contains all critical points, as well as the ridges of the density. A plot of the elevations on the ridgeline shows the key features of the mixed density. In addition. by use of the ridgeline, we uncover a function that determines the number… Expand

#### 147 Citations

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