A question about DMD reconstruction loss L3 = MSE||Y - Y_tilde||

[gongshuai0606]

Hi, for DMD reconstruction loss L3 = MSE||Y - Y_tilde||, it seems that the encoder is enforced to make the output y_t to be equal to y_(t+1) = Ayt. I am a little puzzled by it. How to undertand that y_t should be equal to Ayt ?