The Topography of Multivariate Normal Mixtures

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Example: -plot for unimodal density ¢ 0.0 0.2 0.4 0.6 0.8 1.0 £ ¡ acements 0.0 0.2 0.4 0.6 0.8 1.0 Surajit Ray Nov 2, 2004
Example: -plot for example with 4 modes ¢ ¢ 0.0 0.2 0.4 0.6 0.8 1.0 £ ¡ 0.4990 0.5000 0.5010 £ ¡ acements PSfrag replacements 0.0 0.2 0.4 0.6 0.8 1.0 0.0 0.2 0.4 0.6 0.8 1.0 Surajit Ray Nov 2, 2004
Page 1 and 2: The Topography of Multivariate Norm
Page 3 and 4: Mixture of Distributions -component
Page 5 and 6: Detection of modality: Univariate C
Page 7 and 8: Modality: Multivariate Distribution
Page 9 and 10: Modality: Multivariate Distribution
Page 11 and 12: Unequal variance Two components, un
Page 13 and 14: Ridgeline Curve Two components, une
Page 15 and 16: Ridgeline Elevation Plots Two compo
Page 17 and 18: Ridgeline Surface/Manifold Three co
Page 19 and 20: The -plots Ridgeline elevation/cont
Page 21 and 22: The ‘ -equation’ Two component
Page 23 and 24: The ‘ -equation’ Two component
Page 25: Example: -plots ¢ 0.0 0.2 0.4 0.6
Page 29 and 30: ¦ Data Example:Iris Data § � di
Page 31 and 32: ¢ £ ¡ 0.0 0.2 0.4 0.6 0.8 1.0 Ir
Page 33 and 34: Egyptian Skull Data: Ridgeline Cont
Page 35: Summary and Future Work ■ For , t

The Topography of Multivariate Normal Mixtures

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