Are two sets of data genuinely different, or is it because of randomness? This question, known as the two-sample testing problem, becomes notoriously difficult in modern datasets, because they are ...

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

Every organism you have ever seen, every ecosystem you have ever walked through, is the ongoing output of an algorithm that ...

To continue reading this content, please enable JavaScript in your browser settings and refresh this page. Preview this article 1 min Knapsack raised $10 million from ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

The original version of this story appeared in Quanta Magazine. Computer scientists often deal with abstract problems that are hard to comprehend, but an exciting new algorithm matters to anyone who ...

Last year, fashion publications wrote extensively about the impact of the algorithm on personal style. (Vogue Business included.) In last year’s fashion conversation, ‘the algorithm’ surpassed its ...

* In a variant of the Knapsack problem, all the items in the vault are gold * bars. The value of a gold bar is directly proportional to its weight.

Abstract: The multiple-choice knapsack problem (MCKP) is a classic NP-hard combinatorial optimization problem. Motivated by several significant real-world applications, this work investigates a novel ...