A Bregman divergence approach yields a unified calibeating framework for general proper losses, delivering U-calibration and logarithmic regret for Tsallis losses with weaker dimension dependence than prior work.
Bias-variance decompositions: the exclusive privilege of Bregman divergences
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Extends UMVUE theory to Bregman losses by introducing dual-space unbiasedness and proving Rao-Blackwell and Lehmann-Scheffé analogs for type-I Bregman UMVUEs.
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Calibeating for general proper losses: A Bregman divergence approach
A Bregman divergence approach yields a unified calibeating framework for general proper losses, delivering U-calibration and logarithmic regret for Tsallis losses with weaker dimension dependence than prior work.
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UMVUE-Type Estimators under Bregman Losses
Extends UMVUE theory to Bregman losses by introducing dual-space unbiasedness and proving Rao-Blackwell and Lehmann-Scheffé analogs for type-I Bregman UMVUEs.