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math.GT2025
An Unexpected Rational Blowdown
Márton Beke, Olga Plamenevskaya, Laura Starkston
The rational blowdown operation in 4-manifold topology replaces a neighborhood of a configuration of spheres by a rational homology ball. Such configurations typically arise from r…
cs.LG2025
LZ Penalty: An information-theoretic repetition penalty for autoregressive language models
Antonio A. Ginart, Naveen Kodali, Jason Lee +3
We introduce the LZ penalty, a penalty specialized for reducing degenerate repetitions in autoregressive language models without loss of capability. The penalty is based on the cod…
math.GT2025
A knot-theoretic tour of dimension four
Márton Beke, Kyle Hayden
These notes follow a lecture series at the "Singularities and low dimensional topology" winter school at the Rényi Institute in January 2023, with a target audience of graduate stu…