Research map / Probabilistic and scientific modeling / Molecules and proteins
Probing the Compositionality of Intuitive Functions
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Replace radial basis or spectral mixture extrapolations with compositional kernel extrapolations | GP function extrapolation · Exp 1a forced choice, compositional ground truth | proportion chosen: 14% -> 69% | Helped |
| Change ground truth to spectral mixture generated functions | Compositional vs spectral extrapolation · Exp 1b forced choice | proportion chosen: 32% -> 68% | Helped |
| Use compositional marginal likelihood to predict MCMCP acceptance on generated functions | Compositional GP grammar · Exp 2a | correlation rho: 0.91 | Helped |
| Apply MCMCP to real-world data with periodic times RBF component | Compositional grammar · Exp 2b naturalistic functions | correlation rho: 0.83 | Helped |
| Compare spectral mixture to compositional kernel as predictor of drawings | Manual function completion · Exp 3 interpolation | RMSE: 86.96 -> 58.33 | Helped |
| Compare spectral mixture to compositional kernel as predictor of drawings | Manual function completion · Exp 3 extrapolation | RMSE: 110.45 -> 83.91 | Helped |
| Compare radial basis to compositional kernel as predictor of drawings | Manual function completion · Exp 3 interpolation | RMSE: 55.8 vs 58.33 | No clear effect |
| Compare radial basis to compositional kernel as predictor of drawings | Manual function completion · Exp 3 extrapolation | RMSE: 97.9 -> 83.91 | Helped |
| Use compositional rather than spectral mixture functions | Perceived predictability · Exp 4 isolated judgements | t statistic: t(948) = 11.422 | Helped |
| Use compositional rather than spectral mixture functions | Perceived predictability · Exp 4 paired comparisons | t statistic: t(499) = 13.502 | Helped |
| Increase number of observed points shown | Perceived predictability · Exp 4 | correlation with predictability: r = 0.23 | Helped |
| Increase number of observed points shown | Compositional vs spectral predictability gap · Exp 4 | correlation with gap: r = 0.14 | Helped |
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