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Layer Free-Riding in Forward-Forward Networks: Real, Repairable, but Not Accuracy-Dominant

NeurIPS 2026 · Architectures and efficiency › CNN design · approach: Theory of convolutional inductive bias

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Formalizes "layer free-riding" in cumulative-goodness Forward-Forward networks, where later layers receive vanishing class-discrimination gradients as earlier layers already separate classes, and studies whether it can be repaired and whether repair improves accuracy.

Problem

Cumulative-goodness Forward-Forward (FF) training may leave later layers with a task that earlier layers have already partially solved, so their learning signal weakens.

Approach

Formalizes layer free-riding: under the softplus FF criterion, the class-discrimination gradient reaching block d decays exponentially with the positive margin accumulated by preceding layers; the paper shows this effect is real and repairable but not accuracy-dominant.

Key results

Surprising findings

Limitations

Experimental setup

Builds on: Forward-Forward algorithm

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