Link

들어가며

Applications

Automatic Speech Recognition (ASR)

\[\begin{gathered} y_{1:n}=\text{argmax }P(\text{y}|x;\theta) \\ \text{where }x\text{ is audio signal, and }y_{1:n}\text{ is word sequence, }y_{1:n}=\{y_1,y_2,\cdots,y_n\}. \end{gathered}\] \[\begin{aligned} \hat{y}&={\underset{y\in\mathcal{Y}}{\text{argmax}}}P(y|x) \\ &={\underset{y\in\mathcal{Y}}{\text{argmax}}}\frac{P(x|y)P(y)}{P(x)} \\ &={\underset{y\in\mathcal{Y}}{\text{argmax}}}P(x|y)P(y) \end{aligned}\]