Complexity theorists sort problems into categories, called complexity classes, based on the resource demands of the best algorithms for solving them—that is, the algorithms that run fastest or ...

These algorithms are significant because they can solve the noncommutative weighted Edmonds' problem in polynomial time, demonstrating that certain complex problems can be tackled efficiently [2].

OpenAI’s new algorithms, gpt-oss-120b and gpt-oss-20b, are available under an open-source license. Anthropic, for its part, ...

At the same time, progress in invariant theory has contributed significantly to the development of deterministic algorithms by establishing concrete polynomial degree bounds for matrix invariants ...