nput output Theory x->F->X X z=o(WX+b) Wσ W′ =o(Wz+b)--( 水 Autoencoders are trained to minimize reconstruction errors(such as squared errors) often referred to as the loss(L) x->F->X By combining )and(x) L(X,Xx)=||X×212 Xx(Wσ(WⅩ+b)+b)|2 Ch10. Auto and variational encoders v.9r6Theory • x->F->x’ • z=(Wx+b)-----------(*) • x’=’(W’z+b’) -------(**) • Autoencoders are trained to minimize reconstruction errors (such as squared errors), often referred to as the "loss (L)": • By combining (*) and (**) • L(x,x’)=||x-x’||2 • =||x-’(W’ (Wx+b)+b’)||2 Ch10. Auto and variational encoders v.9r6 7  ’ x->F->x’ W W’