GMVAE（GAUSSIAN MIXTURE VARIATIONAL AUTOENCODERS）高斯混合变分自编码器公式推导
GMM高斯混合模型：p(x)=∑zp(c)p(x∣c)=∑k=0K−1πkN(x∣μk,σk)\begin{aligned}p(x)=&\sum_{z}p(c)p(x|c)\\=&\sum_{k=0}^{K-1}\pi_{k}N(x|\mu_{k},\sigma_{k})\end{aligned}p(x)==z∑p(c)p(x∣c)k=0∑K−1πkN(x∣μk,σk)其中∑kπk=1，c是一个K