Mathematicians finally understand the behavior of an important class of differential equations that describe everything from ...

ABSTRACT: Multi-objective optimization remains a significant and realistic problem in engineering. A trade-off among conflicting objectives subject to equality and inequality constraints is known as ...

SLSQP stands for Sequential Least Squares Programming. It is a numerical optimization algorithm used to solve constrained nonlinear optimization problems. In this project, we aim to optimize objective ...

We study some nonlinear optimal control problems under state constraint. We construct extremal flows by differential-algebraic equations to solve an optimal control problem subject to mixed ...

We've wondered for centuries whether knowledge is latent and innate or learned and grasped through experience, and a new research project is asking the same question about AI. When you purchase ...

What really happens after you hit enter on that AI prompt? WSJ’s Joanna Stern heads inside a data center to trace the journey and then grills up some steaks to show just how much energy it takes to ...

Aqarios' platform Luna v1.0 marks a major milestone in quantum optimization. This release significantly improves usability, performance, and real-world applicability by introducing FlexQAOA, a hybrid ...

The HVAC system of public buildings, as a thermostatically controlled load, accounting for a relatively significant proportion of building energy consumption. Therefore, it is necessary to optimize ...

Need to solve a problem? You might want to sleep on it—for about 20 minutes. New research suggests that taking a quick, deep nap may help lead to a “eureka” moment, as scientists reported last week in ...

Abstract: This letter proposes a continuous-time heavy-ball dynamical system to solve a constrained nonlinear optimization problem, ensuring forward invariance of the constraint set. Recent research ...