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Probing the Compositionality of Intuitive Functions

NeurIPS 2016 · Probabilistic and scientific modeling › Molecules and proteins · approach: Probabilistic embeddings and relational inference · 23 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Replace radial basis or spectral mixture extrapolations with compositional kernel extrapolationsGP function extrapolation · Exp 1a forced choice, compositional ground truthproportion chosen: 14% -> 69%Helped
Change ground truth to spectral mixture generated functionsCompositional vs spectral extrapolation · Exp 1b forced choiceproportion chosen: 32% -> 68%Helped
Use compositional marginal likelihood to predict MCMCP acceptance on generated functionsCompositional GP grammar · Exp 2acorrelation rho: 0.91Helped
Apply MCMCP to real-world data with periodic times RBF componentCompositional grammar · Exp 2b naturalistic functionscorrelation rho: 0.83Helped
Compare spectral mixture to compositional kernel as predictor of drawingsManual function completion · Exp 3 interpolationRMSE: 86.96 -> 58.33Helped
Compare spectral mixture to compositional kernel as predictor of drawingsManual function completion · Exp 3 extrapolationRMSE: 110.45 -> 83.91Helped
Compare radial basis to compositional kernel as predictor of drawingsManual function completion · Exp 3 interpolationRMSE: 55.8 vs 58.33No clear effect
Compare radial basis to compositional kernel as predictor of drawingsManual function completion · Exp 3 extrapolationRMSE: 97.9 -> 83.91Helped
Use compositional rather than spectral mixture functionsPerceived predictability · Exp 4 isolated judgementst statistic: t(948) = 11.422Helped
Use compositional rather than spectral mixture functionsPerceived predictability · Exp 4 paired comparisonst statistic: t(499) = 13.502Helped
Increase number of observed points shownPerceived predictability · Exp 4correlation with predictability: r = 0.23Helped
Increase number of observed points shownCompositional vs spectral predictability gap · Exp 4correlation with gap: r = 0.14Helped

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