Manifold-tiling Localized Receptive Fields are Optimal in Similarity-preserving Neural Networks

Anirvan Sengupta, Cengiz Pehlevan, Mariano Tepper, Alexander Genkin, Dmitri Chklovskii

Neural Information Processing Systems 

Many neurons in the brain, such as place cells in the rodent hippocampus, have localized receptive fields, i.e., they respond to a small neighborhood of stimulus space. What is the functional significance of such representations and how can they arise?

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