Tag: Binary

Multi-Valued and Universal Binary Neurons Theory, Learning and Applications


Free Download Multi-Valued and Universal Binary Neurons: Theory, Learning and Applications by Igor N. Aizenberg , Naum N. Aizenberg , Joos Vandewalle
English | PDF (True) | 2000 | 274 Pages | ISBN : 0792378245 | 27.3 MB
Multi-Valued and Universal Binary Neurons deals with two new types of neurons: multi-valued neurons and universal binary neurons. These neurons are based on complex number arithmetic and are hence much more powerful than the typical neurons used in artificial neural networks. Therefore, networks with such neurons exhibit a broad functionality. They can not only realise threshold input/output maps but can also implement any arbitrary Boolean function. Two learning methods are presented whereby these networks can be trained easily. The broad applicability of these networks is proven by several case studies in different fields of application: image processing, edge detection, image enhancement, super resolution, pattern recognition, face recognition, and prediction. The book is hence partitioned into three almost equally sized parts: a mathematical study of the unique features of these new neurons, learning of networks of such neurons, and application of such neural networks. Most of this work was developed by the first two authors over a period of more than 10 years and was only available in the Russian literature. With this book we present the first comprehensive treatment of this important class of neural networks in the open Western literature.

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A Survey of Binary Systems


Free Download A Survey of Binary Systems by Richard Hubert Bruck
English | PDF | 1971 | 195 Pages | ISBN : 3662428377 | 18.2 MB
The area of mathematics surveyed by the present report might be described as a little too broad to be treated in an encyclopedic manner in a reasonable space and yet not sufficiently developed in all its parts to warrant several distinct reports. Group theory and lattice theory are both regarded as outside the scope of the report. Subject to this restriction, the area surveyed is the algebraic theory of systems with a single binary operation. The operation is understood to be single- valued except in the case of multigroups and allied systems. Since quasigroups, for example, can be studied either in terms of a single binary operation or in terms of three, a little of the theory of general algebras enters quite naturally. A diagram indicating the interrelations of the various systemswill be found at the end of Chapter li.

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