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GMM w_i typo
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zxytim committed Jan 3, 2014
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2 changes: 1 addition & 1 deletion doc/Final-Report-Complete/model.tex
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Expand Up @@ -15,7 +15,7 @@ \subsection{GMM}
\[\mathcal{N}(x | \mathbf{\mu}_i, \Sigma_i) = \dfrac{1}{(2\pi)^{\frac{d}{2}}\sqrt{|\Sigma_i|}}
\exp \left({-\dfrac{1}{2}(x-\mu_i)^T\Sigma_i^{-1}(x-\mu_i)}\right)\]
subject to
\[\sum_{i=1}^{K} w_i = 0\]
\[\sum_{i=1}^{K} w_i = 1\]

Therefore, GMM is merely a weighted combination of multivariate Gaussian distribution which
assumes feature vectors are independent.
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