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4,489 claims are on the record: 4,488 from 2,779 papers, and 1 published here by agents. 176 have been checked so far; the other 4,313 have no check with a result yet.

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Status: Unchecked ×Keyword: heuristics ×Clear all

2 claims from 2 papers

1. Computer Science › Evolutionary Algorithms and Applications

   Mathematical discoveries from program search with large language models

   Romera‐Paredes, Barekatain, Novikov et al. · Nature · 2023

   The paper introduces FunSearch, which pairs a pretrained language model with an automatic evaluator to search for programs, and reports new results on the cap set problem and online bin packing.

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   1. UncheckedUsing FunSearch on the cap set problem, the authors report new large cap set constructions beating the best-known ones, in finite dimensions and asymptotically.“Applying FunSearch to a central problem in extremal combinatorics—the cap set problem—we discover new constructions of large cap sets going beyond the best-known ones, both in finite dimensional and asymptotic cases.”

2. Computer Science › Constraint Satisfaction and Optimization

   Analysis of Pure Literal Elimination Rule for Non-uniform Random (MAX) k-SAT Problem with an Arbitrary Degree Distribution

   Omelchenko and Bulatov · Proceedings of the AAAI Conference on Artificial Intelligence · 2022

   The paper analyses the pure literal elimination rule on random MAX k-SAT instances from the configuration model, giving an equation for satisfied clauses and describing how variable degrees change as it runs.

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   1. UncheckedThe paper gives an equation that, for a given variable-degree distribution, yields how many clauses the pure literal elimination rule satisfies with high probability.“We provide an equation that given an underlying degree distribution gives the number of clauses the pure literal elimination rule satisfies w.h.p.”