Decades ago, Paul Erdős used randomness to illuminate the vast and weird world of networks. Now mathematicians are making his ...

Abstract: In this paper, a value iteration adaptive dynamic programming (ADP) algorithm is developed to solve infinite horizon undiscounted optimal control problems for discrete-time nonlinear systems ...

Abstract: In recent years, the distributed analytical representation and iterative technique (DARIT) based on the Jacobi iteration method (Jacobi-DARIT-field) and the Gauss-Seidel iteration method ...

The enormous computing resources needed to train neural networks for artificial intelligence (AI) result in massive power consumption. Researchers have developed a method that is 100 times faster and ...

Click for full abstract Advanced diffusion models like RPG, Stable Diffusion 3 and FLUX have made notable strides in compositional text-to-image generation. However, these methods typically exhibit ...

The earlier conference version of GH-ICP is called Iterative Global Similarity Point (IGSP). To highlight two key innovative points of the algorithm, we renamed IGSP as GH-ICP. #./script/run.sh ...

We know the scientific method to be sequential and empirical: Ask, observe, hypothesize. Test, analyze, report. And then do it all over again, and again, and again. For better or worse, that sequence ...

In this study, we applied the variational iteration method to solve the Boussinesq time equation. Bossiness’s article from 1872 introduced the equations that are now known as the Boussinesq equations.

NumPy is known for being fast, but could it go even faster? Here’s how to use Cython to accelerate array iterations in NumPy. NumPy gives Python users a wickedly fast library for working with data in ...