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Tanimoto Random Features for Scalable Molecular Machine Learning

NeurIPS 2023 · Learning theory and algorithms › Kernels and regression theory · approach: Random feature approximation · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use random-feature GP instead of exact GP on a random subset of M pointsT_MM kernel · dockstring F2average test log probability: -0.951 -> -0.658Helped
Use random-feature GP instead of random subset GPT_DP kernel · dockstring F2average test log probability: -0.940 -> -0.513Helped
Use RFGP (Rademacher) instead of random subset GPT_MM kernel · dockstring KITaverage test log probability: -1.094 -> -1.222Hurt
Use data-dependent SVGP instead of data-oblivious random featuresT_DP kernel · dockstring F2average test log probability: -0.513 -> -0.459Helped
Use SVGP instead of RFGP (Rademacher)T_MM kernel · dockstring KITaverage test log probability: -1.222 -> -0.846Helped
Gaussian instead of Rademacher Xi in T_MM random features (ablation)T_MM RFGP · dockstring ESR2average test log probability: -0.954 -> -0.956No clear effect
Gaussian instead of Rademacher Xi in T_MM features (ablation)T_MM random features · GuacaMol 1000 moleculesMSE of Gram matrixNo clear effect
Normalization bias correction on T_DP random features (ablation)T_DP RFGP · dockstring PGRaverage test log probability: -1.029 -> -1.028No clear effect
Sketch bias correction on T_DP random features (ablation)T_DP RFGP · dockstring KITaverage test log probability: -0.979 -> -0.979No clear effect
Normalization bias correction for truncated power series (ablation)T_DP random features · GuacaMol binary fingerprintsMSE of Gram matrixHurt
Use T_DP kernel instead of T_MM kernelRFGP · dockstring KITaverage test log probability: -1.222 -> -0.979Helped
Allocate more features to low-order terms (m_r proportional to r^-1) (ablation)T_DP random features · GuacaMol binary fingerprintsMSE of Gram matrixHelped

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