✦ LIBER ✦

On the separating capability of cellular neural networks

✍ Scribed by Osuna, J. A.; Moschytz, G. S.

Publisher: John Wiley and Sons
Year: 1996
Tongue: English
Weight: 456 KB
Volume: 24
Category: Article
ISSN: 0098-9886
DOI: 10.1002/(sici)1097-007x(199605/06)24:3<253::aid-cta913>3.0.co;2-9

No coin nor oath required. For personal study only.

✦ Synopsis

The cellular neural network is able to perform different image-processing tasks depending on the template values, i.e. the network parameters, used. In the case of linear templates the parameter space is divided into different regions by hyperplanes. Every region is associated with a task, such that all points within that region let the cellular neural network perform the desired task. In this paper a lower and an upper bound for the number of regions that can be separated with binary-input cellular neural networks are given, thus answering the question of how many differenttasks such a cellular neural network can perform.

📜 SIMILAR VOLUMES

On binary ouput of cellular neural netwo

On binary ouput of cellular neural networks

✍ ANDREW, LACHLAN L. H. 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 166 KB 👁 1 views

Minimizing the effects of parameter devi

Minimizing the effects of parameter deviations on cellular neural networks

✍ Tetzlaff, R.; Kunz, R.; Wolf, D. 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 299 KB 👁 2 views

The sensitivity of cellular neural networks (CNN) against random parameter deviations is discussed in detail. For di erent CNN with erroneous parameters the probability is estimated that all cell outputs converge to the same stable ÿxpoint of the corresponding error free CNN. These results are compa

Invertible operations on a Cellular Neur

Invertible operations on a Cellular Neural Network Universal Machine

✍ Csapodi, Márton; Vandewalle, Joos; Roska, Tamás 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 315 KB 👁 1 views

This paper is concerned with the invertibility of parallel operations definable on two-dimensional binary arrays by means of a local Boolean function. In this way, it contributes to the theory of cellular automata and may open new potentialities to cellular neural network applications. We provide a

On the design of discrete-time cellular

On the design of discrete-time cellular neural networks with circulant matrices

✍ Grassi, Giuseppe 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 98 KB 👁 2 views

Theory, design and applications of Cellu

Theory, design and applications of Cellular Neural Networks

✍ Roska, Tamas; Rodriguez-Vazquez, Angel; Vandewalle, Joos 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 35 KB 👁 1 views

This special issue on CNN addresses three areas: theory, design, and applications. It is clear from the table of contents that most of the advances reported here are, explicitly or tacitly, influenced by the existence of the programmable CNN universal machine chips. A new programming discipline, the

The effect of training data set size and

The effect of training data set size and the complexity of the separation function on neural network classification capability: The two-group case

✍ Moshe Leshno; Yishay Spector 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 136 KB 👁 2 views

Classification among groups is a crucial problem in managerial decision making. Classification techniques are used in: identifying stressed firms, classifying among consumer types, and rating of firms' bonds, etc. Neural networks are recognized as important and emerging methodologies in the area of