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Show that the M step for ML estimation of a mixture of Gaussians is given by: ΣΥΧ T'k Σ; rix(x - μ.)(xi - μ.)" Σrxx - rMa - – ru rk ΤΑ Show that the M step for ML estimation of a mixture of Bernouillis with a ß(a, ß) is given by: ΣΚ Maj = (Στ.Χ.) + a-1 (Σrk) +a+6-2

Show that the M step for ML estimation of a mixture of Gaussians is given by: ΣΥΧ T'k Σ; rix(x - μ.)(xi - μ.)" Σrxx - rMa - – ru rk ΤΑ Show that the M step for ML estimation of a mixture of Bernouillis with a ß(a, ß) is given by: ΣΚ Maj = (Στ.Χ.) + a-1 (Σrk) +a+6-2

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Show that the M step for ML estimation of a mixture of Gaussians is given by: Σi Tik Xi Tk T Σ¡ Tik (Xi − µµ)(Xi − µµ)™ _ Σ; Tixxix{ - ™KµµME Tk Tk fk = Ek = Show that the M step for ML estimation of a mixture of Bernouillis with a B(a, B) is given by: (Σrikaij)+a-1 (Eirik) +a+B3-2 fkj =
Transcribed Image Text:Show that the M step for ML estimation of a mixture of Gaussians is given by: Σi Tik Xi Tk T Σ¡ Tik (Xi − µµ)(Xi − µµ)™ _ Σ; Tixxix{ - ™KµµME Tk Tk fk = Ek = Show that the M step for ML estimation of a mixture of Bernouillis with a B(a, B) is given by: (Σrikaij)+a-1 (Eirik) +a+B3-2 fkj =
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