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arXiv stat.ML · Papers

PAC–Bayes Bounds on Quotient Parameter Spaces: Geometry-induced Implicit-Bias Priors

arXiv:2607.18422v1 Announce Type: cross Abstract: Overparameterized models often have continuous parameter symmetries, so different parameters define the same predictor. We show that PAC--Bayesian analysis should be performed on the quotient predictor space: pushing a prior and posterior to the quotient preserves the e