Commit c61680c6 authored by Ying-Qiu Zheng's avatar Ying-Qiu Zheng
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Update 2021JUL21.md

parent 8ca43c8a
......@@ -31,7 +31,7 @@ Algorithm 1. EM for the Fusion of GMMs
```
- **M-step.** Re-estimate the parameters using the current responsibilities by setting the derivatives to zero
```math
\mu_{k}^{\text{new}} = \frac{1}{N_{k}}(\Sigma^{H}_{k} + \Sigma^{L}_{k} )^{-1}\sum_{n=1}^{N}\gamma(y_{nk})(\Sigma_{k}^{H}\mathbf{Ux}^{H}_{n} + \Sigma_{k}^{L}\mathbf{x}_{n}^{L} )
\mu_{k}^{\text{new}} = \frac{1}{N_{k}}((\Sigma^{H}_{k})^{-1} + (\Sigma^{L}_{k})^{-1} )^{-1}\sum_{n=1}^{N}\gamma(y_{nk})((\Sigma_{k}^{H})^{-1}\mathbf{Ux}^{H}_{n} + (\Sigma_{k}^{L})^{-1}\mathbf{x}_{n}^{L} )
```
### Simulation results
......
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