Fuzzy ART properties

نویسندگان

  • Juxin Huang
  • Michael Georgiopoulos
  • Gregory L. Heileman
چکیده

-This paper presents some important properties o f the Fuzzy ART neural network algorithm introduced by Carpenter, Grossberg, and Rosen. The properties described in the paper are distinguished into a number o f categories. These include template, access, and reset properties, as well as properties related to the number of list presentations needed for weight stabilization. These properties provide numerous insights as to how Fuzzy ART operates. Furthermore, the effects o f the Fuzzy ART parameters a and p on the functionality of the algorithm are clearly illustrated. Keywords--Neural network, Pattern recognition, Clustering, Learning, Adaptive resonance theory, Fuzzy set theory, Fuzzy ART.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Properties of learning of a Fuzzy ART Variant

This paper discusses a variation of the Fuzzy ART algorithm referred to as the Fuzzy ART Variant. The Fuzzy ART Variant is a Fuzzy ART algorithm that uses a very large choice parameter value. Based on the geometrical interpretation of the weights in Fuzzy ART, useful properties of learning associated with the Fuzzy ART Variant are presented and proven. One of these properties establishes an upp...

متن کامل

Category regions as new geometrical concepts in Fuzzy-ART and Fuzzy-ARTMAP

In this paper we introduce novel geometric concepts, namely category regions, in the original framework of Fuzzy-ART (FA) and Fuzzy-ARTMAP (FAM). The definitions of these regions are based on geometric interpretations of the vigilance test and the F2 layer competition of committed nodes with uncommitted ones, that we call commitment test. It turns out that not only these regions have the same g...

متن کامل

New Geometrical Perspective of Fuzzy ART and Fuzzy ARTMAP Learning

In this paper we introduce new useful, geometric concepts regarding categories in Fuzzy ART and Fuzzy ARTMAP, which shed more light into the process of category competition eligibility upon the presentation of input patterns. First, we reformulate the competition of committed nodes with uncommitted nodes in an F2 layer as a commitment test very similar to the vigilance test. Next, we introduce ...

متن کامل

Hypersphere ART and ARTMAP for Unsupervised and Supervised, Incremental Learning

A novel adaptive resonance theory (ART) neural network architecture is being proposed. The new model, called Hypersphere ART (H-ART) is based on the same principals like Fuzzy-ART does and, thus, inherits most of its qualities for unsupervised learning. Among these properties is fast, stable, incremental learning on the training set and good generalization on the testing set. While H-ART is int...

متن کامل

Ellipsoid ART/ARTMAP Category Regions for the Choice-by- Difference Category Choice Function

In the recent past category regions have been introduced as new geometrical concepts and provide a visualization tool that facilitates significant insight into the nature of the competition among categories during both the training and performance phase of Fuzzy ART (FA) and Fuzzy ARTMAP (FAM). These regions are defined as the geometric interpretation of the Vigilance Test and the competition o...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Neural Networks

دوره 8  شماره 

صفحات  -

تاریخ انتشار 1995