CNS Articles


Articles listed below focus on analysis and applications of neural network systems originally developed by CELEST faculty, including ART, ARTMAP, and BCS/FCS.


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On the production and release of chemical transmitters and related topics in cellular control (1969)
Categories Topics: Biological Learning, Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract This paper makes some neurophysiological and biochemical predictionsconcerning transmitter production and release which are suggested bypsychological postulates. A main theme is the joint comrol of presynapticexcitatory ...

On the global limits and oscillations of a system of nonlinear differential equations describing a flow of a probabilistic network (1969)
Categories Topics: Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract 1. INTRODUCTION: This paper considers various aspects of the global limiting and oscillatorybehavior of the following system of nonlinear differential equations.sx;(t) ...

On learning of spatiotemporal patterns by networks with ordered ordered sensory and motor components, I: Excitatory components of the cerebellum (1969)
Categories Topics: Biological Learning, Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract Many of our sensory and motor organs have linearly ordered components, for example the fingers on a hand, the tonotopic organization of the auditory system, the successivjeo ints on arms and legs,t he spine,e tc. This paper ...

On learning, information, lateral inhibition, and transmitters (1969)
Categories Topics: Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract A mathematical model with both a psychological and neurophysiological interpretation is introduced to qualitatively explain data about serial learning of lists. Phenomenasuch as bowing, anchoring, chunking, backward ...

Learning and energy-entropy dependence in some nonlinear functional-differential systems (1969)
Categories Topics: Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract 1. Introduction. This note describes limiting and oscillatory fea-tures of some nonlinear functional-differential systems having appli-cations in learning and nonstationary prediction theory. The mainresults discuss systems ...

Embedding fields: A theory of learning with physiological implications (1969)
Categories Topics: Biological Learning, Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract A learning theory in continuous time is derived herein from simple psychologicalpostulates. The theory has an anatomical and neurophysiological interpretation interms of nerve cell bodies, axons, synaptic knobs, membrane ...

Some physiological and biochemical consequences of psychological postulates (1968)
Categories Topics: Mathematical Foundations of Neural Networks, Applications: Other, Models: Other,
Author(s) Grossberg, S. |
Abstract This note lists some psychological, physiological, and biochemical predictions that have been derived from simple psychological postu]ates. These psychological postulates have been used to derive a nev learning theory, 1-3 ...

Some nonlinear networks capable of learning a spatial pattern of arbitrary complexity (1968)
Categories Topics: Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract Introduction: This note describes some nonlinear networks which caD learn a spatial pattern, in "black and white," of arbitrary size and complexity. These networks are a special case of a collection of learning machines ~ ...

Global ratio limit theorems for some nonlinear functional differential equations, II (1968)
Categories Topics: Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract Introduction: A previous note [l] introduced some systems of nonlinear functional-differential equations of the form X(t) = AX(t) + B(Xt)X(t - r) + C(t) i £ 0, where X~(xi, • - * , xn) is nonnegative, B(Xt) is a ...

Global ratio limit theorems for some nonlinear functional differential equations, I (1968)
Categories Topics: Mathematical Foundations of Neural Networks, Models: Other,
Author(s) Grossberg, S. |
Abstract 1. Introduction. We study some systems of nonlinear functional-differential equations of the form(1)X(t)= A X(1) + B(Xi)X(t - r) + CO), t' 0,where X=(xi,, x„) is nonnegative, B(Xj) =jjB;j(t)jj is a matrixof nonlinear ...

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