Artificial Intelligence

    

Quadratic Form Binary Optimization and Optimal Solution Obtained from a New Integral

Authors: Ait-Taleb Nabil

In this article, I introduce a new integration method based on algebraic tools. This new integral enables an optimal solution with polynomial complexity P to be obtained for an NP-hard problem. The optimization problem involves minimizing a quadratic form with binary variables. The optimization algorithm is presented at the end of the report. The project concludes with numerical simulations to demonstrate this new concept of an integral, and the R programs are provided in the appendix so that the reader can test the new concept. Applications of this optimization problem span diverse fields such as economics, finance, machine learning and stastical physics (the Ising Model).

Comments: 40 Pages. (Note by viXra Admin: Please cite and list scientific references)

Download: PDF

Submission history

[v1] 2026-09-29 21:15:17

Unique-IP document downloads: 0 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus