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On Embeddings for Numerical Features in Tabular Deep Learning

NeurIPS 2022 · Architectures and efficiency › RNNs and normalization · approach: Symmetry and equivariance in loss landscapes · 58 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Add numerical-feature embeddings using periodic activations plus linear and ReLU layersMLP · Gesture Phaseaccuracy: 0.665 -> 0.700Helped
Add numerical-feature embeddings using periodic activations plus linear and ReLU layersMLP · House 16HRMSE: 3.109 -> 2.975Helped
Add target-aware piecewise linear embeddings followed by linear and ReLU layersResNet · California HousingRMSE: 0.483 -> 0.425Helped
Add quantile piecewise linear embeddings followed by linear and ReLU layersMLP · Facebook Comments VolumeRMSE: 5.616 -> 5.144Helped
Add linear and ReLU numerical-feature embedding layersMLP · California HousingRMSE: 0.486 -> 0.463Helped
Replace piecewise linear encoding with binary thermometer encoding (ablation)MLP-Q · Churn Modellingaccuracy: 0.854 -> 0.815Hurt
Replace piecewise linear encoding with one-blob encoding (ablation)MLP-Q · Gesture Phaseaccuracy: 0.653 -> 0.613Hurt
Replace per-feature learned periodic embeddings with original Fourier features that mix features and use fixed coefficients (ablation)MLP · Gesture Phaseaccuracy: 0.632 -> 0.612Hurt
Add fixed-coefficient Periodic features while keeping original featuresXGBoost · California HousingRMSE: 0.436 -> 0.441Hurt
Add fixed-coefficient Periodic features while keeping original featuresXGBoost · Higgs Smallaccuracy: 0.724 -> 0.724No clear effect
Use PLE representations without traditional quantile preprocessing (ablation)MLP-Q · California HousingRMSE: 0.464 -> 0.463No clear effect
Use PLE representations without traditional quantile preprocessing (ablation)MLP-T · California HousingRMSE: 0.447 -> 0.447No clear effect

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