期刊
APPLIED MATHEMATICAL MODELLING
卷 33, 期 3, 页码 1441-1456出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2008.02.009
关键词
Neural networks; Interpolation; Approximation; Estimate or error
资金
- National Natural Science Foundation of China [60473034, 10771048]
This paper presents a type of feedforward neural networks (FNNs), which can be used to approximately interpolate, with arbitrary precision. any set of distinct data in multidimensional Euclidean spaces. They can also uniformly approximate any continuous functions of one variable or two variables. By using the modulus of continuity of function as metric, the rates of convergence of approximate interpolation networks are estimated, and two Jackson-type inequalities are established. (C) 2008 Elsevier Inc. All rights reserved.
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