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The invariance of natural objects under perceptual changes is possiblyencoded in the brain by symmetries in the graph of synaptic connections. Thegraph can be established via unsupervised learning in a biologically plausibleprocess across different perceptual modalities. This hypothetical encodingscheme is supported by the correlation structure of naturalistic audio andimage data and it predicts a neural connectivity architecture which isconsistent with many empirical observations about primary sensory cortex.

Does the Brain Infer Invariance Transformations from Graph Symmetries?