标题： SOM算法的理论方面 显示英文标题

标题： Theoretical Aspects of the SOM Algorithm

摘要： SOM算法非常令人惊讶。 一方面，编写和模拟它非常简单，其实用特性清晰且易于观察。 但另一方面，尽管多位作者付出了巨大努力，其理论特性在一般情况下仍未得到证明。 本文回顾了最新的研究成果，并对未来的工作提出了一些猜想。 显示英文摘要

摘要： The SOM algorithm is very astonishing. On the one hand, it is very simple to write down and to simulate, its practical properties are clear and easy to observe. But, on the other hand, its theoretical properties still remain without proof in the general case, despite the great efforts of several authors. In this paper, we pass in review the last results and provide some conjectures for the future work.