# Algebraic methods for solving recognition problems with non-crossing classes

arXiv: https://arxiv.org/abs/2401.13666 · HTML: https://mlsanity.com/paper/2401.13666/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 0 of its 17 references that are in the map.
- First posted on arXiv 24 Jan 2024.

## Abstract (arXiv)

In this paper, we propose to consider various models of pattern recognition. At the same time, it is proposed to consider models in the form of two operators: a recognizing operator and a decision rule. Algebraic operations are introduced on recognizing operators, and based on the application of these operators, a family of recognizing algorithms is created. An upper estimate is constructed for the model, which guarantees the completeness of the extension.