Commit 7d852a91 by Ying-Qiu Zheng

### Update 2021JUL21.md

parent 77f36932
 ... @@ -29,7 +29,7 @@ In summary, in addition to finding the the hyper-parameters $\pi, \mu, \Sigma_{ ... @@ -29,7 +29,7 @@ In summary, in addition to finding the the hyper-parameters$\pi, \mu, \Sigma_{ - $\Sigma_{k}^{L} = \frac{1}{N_{k}}\sum_{n=1}^{N}\gamma(y_{nk})(\mathbf{x}^{L}_{n} - \mathbf{\mu}_{k}^{L})(\mathbf{x}^{L}_{n} - \mathbf{\mu}_{k}^{L})^{T}$ - $\Sigma_{k}^{L} = \frac{1}{N_{k}}\sum_{n=1}^{N}\gamma(y_{nk})(\mathbf{x}^{L}_{n} - \mathbf{\mu}_{k}^{L})(\mathbf{x}^{L}_{n} - \mathbf{\mu}_{k}^{L})^{T}$ - $\Sigma_{k}^{H} = \frac{1}{N_{k}}\sum_{n=1}^{N}\gamma(y_{nk})(\mathbf{Ux}^{H}_{n} - \mathbf{\mu}_{k}^{L})(\mathbf{Ux}^{H}_{n} - \mathbf{\mu}_{k}^{L})^{T}$ - $\Sigma_{k}^{H} = \frac{1}{N_{k}}\sum_{n=1}^{N}\gamma(y_{nk})(\mathbf{Ux}^{H}_{n} - \mathbf{\mu}_{k}^{L})(\mathbf{Ux}^{H}_{n} - \mathbf{\mu}_{k}^{L})^{T}$ - $\pi_k = \frac{N_{k}}{N}$ - $\pi_k = \frac{N_{k}}{N}$ - $\mathbf{U}=$ - $\mathbf{U}=\mathbf{MN}^{T}$ where $\mathbf{MDN}^{T}$ is the svd of $\sum_{k=1}^{K}\gamma(y_nk)\mu_{k}^{L}(\mathbf{x}_{n}^{H})^{T}(\sum_{n=1}^{N}\mathbf{x}_{n}^{H}(\mathbf{x}_{n}^{H})^{T})$ - Evaluate the likelihood and check for convergence. - Evaluate the likelihood and check for convergence. 5. Using $\mu_{k}^{L}, \Sigma_{k}^{L}, \pi_{k}$ to assignment unseen low-quality data points. 5. Using $\mu_{k}^{L}, \Sigma_{k}^{L}, \pi_{k}$ to assignment unseen low-quality data points. ... ...
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