A category-theoretic analysis represents conformal prediction as morphisms in stability and measurability categories, proves a commuting diagram decomposition into predictive distribution extraction and region derivation, and shows asymptotic compatibility with Bayesian predictive densities plus e-p
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C-SymmPI reformulates conditional coverage as miscoverage error over a user-specified function class to deliver near-conditional guarantees under group symmetries and distributional invariance.
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A Category-Theoretic Analysis of Conformal Prediction
A category-theoretic analysis represents conformal prediction as morphisms in stability and measurability categories, proves a commuting diagram decomposition into predictive distribution extraction and region derivation, and shows asymptotic compatibility with Bayesian predictive densities plus e-p
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Conditional Predictive Inference for General Structured Data with Group Symmetries
C-SymmPI reformulates conditional coverage as miscoverage error over a user-specified function class to deliver near-conditional guarantees under group symmetries and distributional invariance.