the representations of any image and its nearest neighbors closer to each other okay so with with this thing right here you maximize the inner product between X in after this neural network and a nearest neighbor of X that was was a nearest neighbor after the first task now the way they cluster here is not just again by putting it into an embedding space like we saw before but this thing right here this neural network as you can see here is is a C dimensional vector in 0 1 now C is the number of classes that you can either