arXiv Machine Learning By Ang-Kun Wu, Fangdi Wen, Jingtao Zhang

Geometric Mean Pooling for Equal-Weight Multiplicative Coarse-Graining

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The paper introduces Geometric Mean Pooling (GMP), a signed pooling operator that combines the product of feature signs with the geometric mean of feature magnitudes. GMP preserves joint sign information and a multiplicative scale without learnable parameters, and it is shown to outperform average and max pooling on synthetic sequence tasks and maintain performance under multiplicative noise. However, its effectiveness on image and molecular data depends on representation, target parameterization, and pooling placement, positioning GMP as a complementary, regime‑dependent inductive bias rather than a universal replacement for standard pooling.

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