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Learning Stochastic Majority Votes by Minimizing a PAC-Bayes Generalization Bound

NeurIPS 2021 · Learning theory and algorithms › Kernels and regression theory · approach: PAC-Bayes bounds · 2 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Optimize the stochastic majority vote's expected risk directly rather than a proxy oracle boundStocMV with Dirichlet weights · two-moonstest errorHelped
Use direct expected-risk optimization instead of FO or SOStocMV · real benchmarkstest errorNo clear effect
Use direct expected-risk optimization rather than the baselines' oracle-bound objectivesStocMV · real benchmarksPAC-Bayesian boundHelped
Increase the Monte Carlo draw count (ablation)StocMV-MC · two-moonstest errorHelped
Use MC risk optimization instead of exact risk optimization (ablation)StocMV · two-moons with n > 10^2test errorNo clear effect
Increase the number of base predictors (ablation)StocMV exact and MC · two-moonstest errorHurt
Add input noise (ablation)StocMV exact · two-moonstest errorHurt
Use a sparser-favoring prior (ablation)StocMV · Proteintest errorHelped
Use a prior encouraging concentrated posteriors near the simplex mean (ablation)StocMV · MNISTtest errorHelped
Remove PAC-Bayes bound regularization and optimize empirical risk only (ablation)StocMV exact · synthetic datasetKL divergence to priorHurt
Use stronger base voters by increasing decision-tree depth (ablation)StocMV and baselines · voter-strength experimentstest errorHelped
Use weaker base voters (ablation)Second Order · voter-strength experimentstest errorHurt

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