Representational Systems

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Representational Systems

This paper seeks to define a representational system in

such a manner as to be capable of implementation in a connectionist,

or neural, network. A representational system is defined and

demonstrated to possess the ability to produce outputs which achieve

global minima. The paper concludes by showing that, while a

feed-forward neural network is incapable of representation,

representation may be implemented in a recurrent, or internal

feedback, connectionist network.

Introduction

Representational systems are commonly in the Artificial

Intelligence (AI) domain of symbolic logic. Expert Systems are

programmed into computer systems by recording the step-by-step

logical methodology of experts to minimize the costs or maximize the

utility of their decisions. Logical statements, or beliefs, be they

fuzzy or hard, are established as "rules". Another branch of AI,

Connectionism, attempts to build systems, often in artificial neural

networks (ANNs), that implement the methodologies of the illogical,

inexplicable, or intuitive capabilities of distributed systems such

as pattern recognition systems. Here, it is not some logical mapping

of input to output, but rather a holistic host of inputs which

indicate micro-features which may or may not synergistically produce

a desired output.

While connectionist systems are recognized as being capable of

distributed, non-representational processing, they may also possess

the capability to additionally perform the rule-based logic of

representational systems. As will be shown, not all connectionist

networks possess the appropriate architecture for this task. Thus, a

neural network, depending upon its architecture, may possess the

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