they may be able to reduce the entropy in fact this it's easy to prove that the conditional entropy of X given context C is always smaller than the unconditional entropy H of X in fact auto regressive models do exactly this in an automatic model you predict the next symbol based on everything you've seen so far and often the prediction of the next symbol or the next pixel is gonna be a lot more lot easier to predict so a lot lower entropy than just independently predicting each pixel and so going back to the price thing that we were talking