Theory ideas

Provable properties, identifiability and convergence arguments, each attached to a toy numerical demonstration.

Unverified 2026

Uniform PEP selective decoding

Replace raw neural scores with randomized pairwise-error probabilities relative to a reference candidate distribution. Use a fixed PEP threshold to accept, abstain, or form a variable-size candidate list; exact uniformity under the reference law makes the threshold interpretable independently of the model's score scale and robust to ties.

Useful5/10
Difficulty4/10
Novelty5/10
Paper: One-Shot Information Theory via the Pairwise Error Probability: Lossy, Joint Source-Channel, Erasure, and Multiuser Coding arXiv:2608.15169