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Theoretical Limits of Language Model Alignment $f$-Divergence Regularized RLHF: Two Tales of Sampling and Unified Analyses A Unified Measure-Theoretic View of Diffusion, Score-Based, and Flow Matching Generative Models When Can Voting Help, Hurt, or Change Course? 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The Extension Theorem for Bi-invariant Weights over Frobenius Rings and Frobenius Bimodules
Oliver W. Gnilke, Marcus Greferath, Thomas Honold, Jay A. Wood, · 2017-11-28 · via cs.IT updates on arXiv.org

We give a sufficient condition for a bi-invariant weight on a Frobenius bimodule to satisfy the extension property. This condition applies to bi-invariant weights on a finite Frobenius ring as a special case. The complex-valued functions on a Frobenius bimodule are viewed as a module over the semigroup ring of the multiplicative semigroup of the coefficient ring.

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