Abstract: Recently, neural combinatorial optimization (NCO) methods have been prevailing for solving multiobjective combinatorial optimization problems (MOCOPs). Most NCO methods are based on the ...

Finding the Hammer of Justice battle in Chapter 4 of Deltarune requires solving a complex puzzle after defeating a mini-boss and claiming an item from them. It's well worth the effort, though, as this ...

It started almost by accident. At my startup Dwelly, I constantly push the limits of what AI tools can actually do. One day I just typed into a chat: “Can you prove P ≠ NP?”—referring to the problem ...

Turns out, Ukraine has got cards. Just last fall, Russia was inexorably advancing on the battlefield, money was running out and President Trump was pressing a peace deal on terms that favored Moscow.

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 ...

In October 2024 I attended a workshop at Harvard University where mathematicians talked through the uses of artificial intelligence in their field. Most were less worried about the future of math than ...

This article is part of a package on the future of quantum computing. Read about the quest to develop these machines here and see an illustrated field guide to qubits here. The 21st-century fervor ...

For decades, modernizing enterprise systems has been one of the most expensive and thankless jobs in technology. That calculus is starting to shift. Kabir Nagrecha grew up in the room where enterprise ...