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Paper · arXiv

The Sign Code: The Hidden Binary Nature of Deep Networks

Every neuron in a trained network outputs a number that can be separated into its sign (positive or negative) and its magnitude (absolute size). We call the set of all neuron signs the \textit{sign code}. This raises a key question: does classification depend more on the sign code or on the magnitudes? For overparameterized vision classifiers with sign-preserving activations, the answer is overwhelmingly the sign code. A $k$-nearest neighbor classifier operating only on this binary sign code achieves accuracy comparable to the full model across different architectures, activation functions, and datasets. Moreover, replacing all magnitudes in every layer with random noise while keeping the...

AuthorsNiclas Göring, Shuofeng Zhang, Roi Holtzman et al.
Primary categorycs.LG
Published16 October 2026
Last updated at source16 October 2026
cs.LG
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