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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 16
NEURAL NETWORKS & COMBINATORIAL OPTIMIZATION IN CIVIL & STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping and A.I. Khan
Paper II.2

Vector Clustering for Neural Network based Prediction of Geometrical Characteristics

H. Lee* and P. Hajela+

*GE Corporate Research and Development, Schenectady, New York, United States of America
+Rensselaer Polytechnic Institute, Troy, New York, United States of America

Full Bibliographic Reference for this paper
H. Lee, P. Hajela, "Vector Clustering for Neural Network based Prediction of Geometrical Characteristics", in B.H.V. Topping, A.I. Khan, (Editors), "Neural Networks & Combinatorial Optimization in Civil & Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 19-29, 1993. doi:10.4203/ccp.16.2.2
Abstract
This paper explores the development of a function approximation strategy that predicts certain properties based on geometrical characteristics. Such approximations are valuable in situations where the actual response computations are CPU-intensive, and a quick estimation is required. Issues discussed include shape representation using FPF transformations, estimation of mapping nonlinearity using dendrograms, as well as shape based mapping using backpropagation (BP) neural networks. Although BP networks have offered an enhanced mapping capacity, in practice, the formulation of a smoother input/output mapping space is still rather critical because a smoother mapping requires fewer samples to characterize and is easier for a network to learn. The methodology is applied to predict two continuous properties for arbitrary shapes, including non-simple connected ones. The two properties are 1) the ratio of moment of inertia and 2) the radius of gyration. These properties are not all related to the sampling location, orientation and size.

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