In 1946, the mathematician Paul Erdős posed the unit distance problem—and suggested a winning strategy. An A.I. model has now ...

OpenAI had generated plenty of buzz by coming up with a breakthrough for an 80-year-old Erdős problem, but Anthropic now says that it has also come up with a solution with its Mythos model. The unit ...

For nearly 80 years, mathematicians have struggled to solve a classic geometry puzzle first posed by Paul Erdős in 1946: the planar unit distance problem. The question posed by the legendary Hungarian ...

Abstract: The capacitated electric vehicle routing problem (CEVRP) has drawn much attention from researchers in the recent decade against the background of the rising electric transportation industry.

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 ...

For 80 years, one of the most stubborn problems in combinatorial geometry sat on the shelf, occasionally dusted off by ambitious mathematicians, never quite cracked. Now an AI did it. An internal ...

An internal OpenAI model has autonomously generated a proof that disproves a famous conjecture in discrete geometry, one originally proposed by the legendary Hungarian mathematician Paul Erdős. The AI ...

Vector search underpins most retrieval-augmented generation (RAG) pipelines. At scale, it gets expensive. Storing 10 million document embeddings in float32 consumes 31 GB of RAM. For dev teams running ...

Abstract: Energy-efficient data gathering remains a fundamental challenge in underwater wireless sensor networks (UWSNs) due to the inherent limitations of multihop communication, which often result ...

A new quantum-inspired algorithm has cracked a problem so massive that conventional supercomputers struggle to even approach it. Researchers used the method to simulate extraordinarily complex quantum ...