---
title: "An Analysis on Crossovers for Real Number Chromosomes in an Infinite Population Size"
authors:
  - "Tatsuya Nomura"
doi: ""
url: "https://ijcai.org/proceedings/1997/135"
pdf: "https://ijcai.org/proceedings/1997/0135.pdf"
venue: "Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence"
year: 1997
pages: "936-940"
track: "Learning"
keywords:
---

# An Analysis on Crossovers for Real Number Chromosomes in an Infinite Population Size

Tatsuya Nomura

*Proceedings of the Fifteenth International Joint Conference on Artificial Intelligence*, pages 936-940.

## Abstract

In this paper , as one approach for mathematical analysis of evolutionary algorithms with real number chromosomes, we focus our attention on crossovers, give a general framework of the description for the change of the distribution of the population through them, and verify the properties of crossovers based on the framework. This framework includes various crossover which have been proposed and we apply our result to these crossover methods.