Journal
INFORMATION SCIENCES
Volume 601, Issue -, Pages 323-339Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2022.04.005
Keywords
Stochastic configuration networks; Randomized learning; Multi-dimensional integrals; Signal representative
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Funding
- National Natural Science Foundation of China [51975110]
- Liaoning Revitalization Talents program [XLYC1907171]
- Fundamental Research Funds for the Central Universities [N2003005, N2203004]
- National Key RAMP
- D Program of China [2018AAA0100304]
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This paper proposes a novel numerical integration method based on stochastic configuration networks (SCNs), which constructs SCNs by learning the integrand function and establishes a functional relation between the integrand and the primitive function. The method effectively evaluates complex multi-dimensional integrals.
Complex multi-dimensional integrals are widely used in various engineering problems. This paper proposes a novel numerical integration method based on stochastic configuration networks (SCNs), which is constructed by learning the integrand function. A corresponding primitive function based on a simple functional expression of the trained SCN can be analytically derived, and a general functional relation between the integrand and the primitive function is established based on SCN parameters. By repeatedly applying the derived functional relations, we can successfully evaluate many complex multidimensional integrals. The SCN-based numerical integral method provides a powerful tool for solving complex multi-dimensional integrals. Effectiveness of the proposed method in terms of both computational accuracy and stability is demonstrated through numerical experiments.(c) 2022 Elsevier Inc. All rights reserved.
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