Research map / Learning theory and algorithms / Sample complexity
Bias-Variance Trade-Off in Hierarchical Probabilistic Models Using Higher-Order Feature Interactions
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| use higher-order interactions instead of hidden layers | HBM versus RBM · synthetic dataset, smaller sample sizes | total KL error | Helped |
| use higher-order interactions instead of hidden layers | HBM versus RBM · synthetic dataset, smaller sample sizes | variance | Helped |
| use hidden layers instead of higher-order interactions | RBM versus HBM · synthetic dataset, larger sample sizes | variance | Helped |
| increase the number of model parameters (ablation) | RBM and HBM · synthetic dataset | variance | Hurt |
| increase the number of model parameters (ablation) | HBM · synthetic dataset | variance | Hurt |
| increase the sample size (ablation) | RBM and HBM · synthetic dataset | variance | Helped |
| vary the number of hidden nodes (ablation) | RBM · synthetic dataset | bias | No clear effect |
| vary the interaction order (ablation) | HBM · synthetic dataset | bias | No clear effect |
| increase the sample size (ablation) | RBM and HBM · synthetic dataset | bias | No clear effect |
| use HBM rather than RBM | HBM versus RBM · synthetic dataset, larger sample sizes | total KL error | No clear effect |
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