Processing math: 100%

 

 

 

Visible units

The conditional probability of the continuous x now has another form, however.

pGB(x|h)=pGB(x,h)pGB(h)=1ZGBe||xa2σ||2+bTh+(xσ2)TWh1ZGBebThMi2πσ2ie2aiwTih+(wTih)22σ2i=Mi12πσ2ie(xiai)22σ2i+xiwTih2σ2ie2aiwTih+(wTih)22σ2i=Mi12πσ2iex2i2aixi+a2i2xiwTih2σ2ie2aiwTih+(wTih)22σ2i=Mi12πσ2iex2i2aixi+a2i2xiwTih+2aiwTih+(wTih)22σ2i=Mi12πσ2ie(xibiwTih)22σ2i=MiN(xi|bi+wTih,σ2i)pGB(xi|h)=N(xi|bi+wTih,σ2i).