Total Parameters in a Gaussian Mixture Model

Formula

$$\text{ Total Parameters }=\underset{\text{Mixing Coeffs }}{\underbrace{(K-1)}}+\underset{\text{Means }}{\underbrace{(K\times D)}}+\underset{\text{Covariances }}{\underbrace{\left(K\times \frac{D(D+1)}{2}\right)}}$$

Example

For $K=3$ and $D=5$, this evaluates to

$$(3-1)+(3\times 5)+\left(3\times \frac{5(5+1)}{2}\right)=2+15+(3\times 15)=62$$