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Research map / Learning theory and algorithms / Sample complexity

Bias-Variance Trade-Off in Hierarchical Probabilistic Models Using Higher-Order Feature Interactions

AAAI 2019 · Learning theory and algorithms › Sample complexity · approach: Optimal mean estimation and subsampling · 5 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
use higher-order interactions instead of hidden layersHBM versus RBM · synthetic dataset, smaller sample sizestotal KL errorHelped
use higher-order interactions instead of hidden layersHBM versus RBM · synthetic dataset, smaller sample sizesvarianceHelped
use hidden layers instead of higher-order interactionsRBM versus HBM · synthetic dataset, larger sample sizesvarianceHelped
increase the number of model parameters (ablation)RBM and HBM · synthetic datasetvarianceHurt
increase the number of model parameters (ablation)HBM · synthetic datasetvarianceHurt
increase the sample size (ablation)RBM and HBM · synthetic datasetvarianceHelped
vary the number of hidden nodes (ablation)RBM · synthetic datasetbiasNo clear effect
vary the interaction order (ablation)HBM · synthetic datasetbiasNo clear effect
increase the sample size (ablation)RBM and HBM · synthetic datasetbiasNo clear effect
use HBM rather than RBMHBM versus RBM · synthetic dataset, larger sample sizestotal KL errorNo clear effect

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