How Long Is the Coast of a Neuron? Resolution-Dependent Interaction Order and Computational Capacity
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arXiv:2610.19487v1 Announce Type: cross Abstract: Mandlebrot's coastline paradox reframes measurement as a joint property of an object and its ruler. Here we ask how observational resolution shapes the apparent structure of neural computation. We introduce a scale-indexed decomposition that separates the predictive information captured by direct dependencies from the residual outside that model family.
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