These are math’s most famous open questions. Solve one, and you’ll win a $1-million prize—but it’s only happened once since ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get any better. In 1939, upon arriving late to his statistics course at the ...

Abstract: This technical note proposes an active set method based on nonnegative least squares (NNLS) to solve strictly convex quadratic programming (QP) problems, such as those that arise in Model ...

OpenAI is slowly inviting selected users to test a whole new set of reasoning models named o3 and o3 mini, successors to the o1 and o1-mini models that just entered full release earlier this month.

OpenAI recently unveiled its latest artificial intelligence (AI) models, o1-preview and o1-mini (also referred to as “Strawberry”), claiming a significant leap in the reasoning capabilities of large ...

Google DeepMind, Google LLC’s artificial intelligence research unit, today unveiled two new AI models that are capable of advanced mathematical reasoning for solving complex math problems, which ...

Resource allocation of wide-area internet networks is inherently a combinatorial optimization problem that if solved quickly, could provide near real-time adaptive control of internet-protocol traffic ...