Abstract

A new algorithm for learning invariance manifolds is introduced that allows a neuron to learn a non-linear input–output function to extract invariant or rather slowly varying features from a vectorial input sequence. This is demonstrated by a simple model of learning complex cell responses. The algorithm is generalized to a group of neurons, referred to as a Gibson-clique, to learn slowly varying features that are uncorrelated. Since the input–output functions are non-linear, this technique can be applied iteratively. This is demonstrated by a hierarchical network of Gibson-cliques learning translation invariance.

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