Abstract: The optimization of aircraft loading problems are critical for operational efficiency and safety in the aviation industry. Therefore, how to improve the convergence speed and solution ...

After 80 years of fruitless struggle by human mathematicians, a major geometry conjecture has at last been solved—via a straightforward query to a chatbot. “No previous AI-generated proof has come ...

OpenAI claims its new reasoning model has produced an original mathematical proof disproving a famous unsolved conjecture in geometry, which was first posed by Paul Erdős in 1946. If this sounds ...

Abstract: In this paper, we delve into the monotone sub-modular maximization problem with a cardinality constraint. We propose a priority-ordered swapping algorithm that iteratively improves the ...