The leading approach to the simplex method, a widely used technique for balancing complex logistical constraints, can’t get ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

Yann LeCun’s argues that there are limitations of chain-of-thought (CoT) prompting and large language model (LLM) reasoning. LeCun argues that these fundamental limitations will require an entirely ...

Rob De La Espriella is the creator of BlueDragon, a problem-solving system used by the US national laboratories and nuclear facilities. United States businesses are silently hemorrhaging trillions of ...

Abstract: A new approach to solving optimization problems in the field of machine learning is considered. The greatest complexity among such problems is the problem of gradient search for the optimum ...

Pull requests help you collaborate on code with other people. As pull requests are created, they’ll appear here in a searchable and filterable list. To get started, you should create a pull request.

Presenting an algorithm that solves linear systems with sparse coefficient matrices asymptotically faster than matrix multiplication for any ω > 2. Our algorithm can be viewed as an efficient, ...