A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

Abstract: Dynamic environments pose great challenges for expensive optimization problems, as the objective functions of these problems change over time and thus require remarkable computational ...

CAMBRIDGE, U.K. – A small Microsoft Research team had lofty goals when it set out four years ago to create an analog optical computer that would use light as a medium for solving complex problems.

A line of engineering research seeks to develop computers that can tackle a class of challenges called combinatorial optimization problems. These are common in real-world applications such as ...

What if the toughest problems humanity faces—those that stump our brightest minds and stretch the limits of human ingenuity—could be tackled by a single, purpose-built system? Enter Gemini Deep Think, ...

What if machines could not only think but also act—independently, intelligently, and in real time? From coordinating disaster relief efforts to predicting crop yields with pinpoint accuracy, AI agents ...

Solving optimization problems is challenging for existing digital computers and even for future quantum hardware. The practical importance of diverse problems, from healthcare to financial ...

Annealing processors (APs) are gaining popularity for solving complex optimization problems. Fully-coupled Ising model APs are especially valued for their flexibility, but balancing capacity (number ...

Why do some crowds move in an orderly fashion while others devolve into a chaotic jumble? New research led by an MIT mathematician may finally crack the tricky crowd problem. When you purchase through ...

It’s been difficult to find important questions that quantum computers can answer faster than classical machines, but a new algorithm appears to do it for some critical optimization tasks. For ...