This preprint argues that useful universal approximators must have dense catastrophic failures, but the proof rests on unproven measure convergence and circular use of adversarial examples.
Multilayer feedforward networks are universal approximators
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On the Mathematical Impossibility of Safe Universal Approximators
This preprint argues that useful universal approximators must have dense catastrophic failures, but the proof rests on unproven measure convergence and circular use of adversarial examples.