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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
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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