Neural network node output distributions are nonlinear projections along hypersurfaces via Radon transforms, yielding geometric interpretations for nonlinearity, pooling, activations, and adversarial examples.
Uber die bestimmug von funktionen durch ihre integralwerte laengs geweisser mannigfaltigkeiten,
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Neural Networks, Hypersurfaces, and Radon Transforms
Neural network node output distributions are nonlinear projections along hypersurfaces via Radon transforms, yielding geometric interpretations for nonlinearity, pooling, activations, and adversarial examples.