The minimum cut and maximum flow problems form a well-known pair of dual problems providing a min-max relation. Similarly, the continuous relaxation of the minimum multicut problem is the linear dual ...

A Julia implementation of the Halpern Peaceman-Rachford (HPR) method for solving linear programming (LP) problems on the GPU.

ABSTRACT In this paper, we present the results of a new approach to the splitting factor preconditioner, which is a preconditioner based on the Incomplete Cholesky factorization and the splitting ...

OpenAI on Friday unveiled a new artificial intelligence system, OpenAI o3, which is designed to “reason” through problems involving math, science and computer programming.

A study says that engineers who use the popular AI programming assistant GitHub Copilot don't experience any significant gains in efficiency.

🚀 The feature, motivation and pitch It would be great if a PyTorch linear sum assignment solver function could be implemented. I am working on an edge detection algorithm for deep learning and have ...

We assume that the k -linear factors of the upper level problem and the l -linear factors of the lower level problem to be non-negative. In this paper, we propose an algorithm based on branch-and-cut ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...

In this paper, we propose a strategy to enhance the performance of task assignment and path planning in applications of distributed multiple unmanned aerial vehicles (multi-UAV). Multi-UAVs are made ...