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A Note on Non-Composability of Layerwise Approximate Verification for Neural Inference

Year: 2026
Type: preprint
Abstract: A natural and informal approach to verifiable (or zero-knowledge) ML inference over floating-point data is: ``prove that each layer was computed correctly up to tolerance $δ$; therefore the final output is a reasonable inference result''. This short note gives a simple counterexample showing that this inference is false in general: for any neural network, we can construct a functionally equivalent network for which adversarially chosen approximation-magnitude errors in individual layer computations suffice to steer the final output arbitrarily (within a prescribed bounded range).
Author: Zamir, Or
Open Access status: green
OpenAlex ID: W7130368087
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