Dec 14, 2023 · caseFunSearch improves cap-set constructions
An evolutionary LLM-and-evaluator loop found larger cap sets in several dimensions and new online bin-packing heuristics.
Partial progressPeer-reviewed evidence
mathematics · combinatorics
Improved cap-set constructions
Constructing larger subsets of finite vector spaces containing no nontrivial three-term arithmetic progressions.
The archive treats improved constructions as partial progress on an ongoing extremal problem rather than as a binary conjecture resolution.
Open reference source ↗Attempt ledger
What has been tried?
A complete attempt outcome does not automatically change the editorial status of the underlying problem.