classification network are updated by taking the cross entropy loss between the predictions piece of theta of X and then the pseudo label distribution that is produced when you pass these X data points through the teacher Network parameterised by Phi denoted Q sub 5 X to denote this new pseudo label distribution that comes out of the teacher phase 2 is the teacher learns from the students validation loss this is a much more complex way of structuring this loss this gradient through a gradient meta learning idea of