1999
DOI: 10.1111/1468-0394.00118
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Representing diverse mathematical problems using neural networks in hybrid intelligent systems

Abstract: In recent years, artificial neural networks have attracted considerable attention as candidates for novel computational systems. Computer scientists and engineers are developing neural networks as representational and computational models for problem solving: neural networks are expected to produce new solutions or alternatives to existing models. This paper demonstrates the flexibility of neural networks for modeling and solving diverse mathematical problems including Taylor series expansion, Weierstrass's fi… Show more

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Cited by 19 publications
(3 citation statements)
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“…The artificial neural network has the potential to represent complex, nonlinear relationships [25], [26], [27], [28], [29], [30], [31], [32], [33], [34]. The evolution of ANN has given rise to the multilayer perceptron (deep learning), which is effective at modelling and predicting complex, nonlinear relationships in time series.…”
Section: Ann Modelmentioning
confidence: 99%
“…The artificial neural network has the potential to represent complex, nonlinear relationships [25], [26], [27], [28], [29], [30], [31], [32], [33], [34]. The evolution of ANN has given rise to the multilayer perceptron (deep learning), which is effective at modelling and predicting complex, nonlinear relationships in time series.…”
Section: Ann Modelmentioning
confidence: 99%
“…The deep neural network is the most used field of AI systems and the basis of many modern AI applications (LeCun et al, 2015). The performance of deep neural networks in speech recognition (Deng et al, 2013) and image recognition (Krizhevsky et al, 2012) makes it widely used in industrial, social and life scenarios (Lu et al, 2012; Panigrahi et al, 2019; Xing Li & Li, 1999; Zhou et al, 2003; Zhu et al, 2008). Although deep neural networks show good accuracy in many AI scenarios, it comes at the cost of high computational complexity.…”
Section: Systems Thinking and Perspective On Ai Systemmentioning
confidence: 99%
“…The genetic algorithm also has shortcomings, such as poor local searchability, convergence performance of the algorithm and long durations to find the optimal solution. Therefore, the application of the genetic algorithm is to improve the searchability of the genetic algorithm, increase the convergence speed and finally solve the actual problem in the solution (Hong & Li, 1999; Jin et al, 2014; F. Li et al, 2011a, 2011b; Wang et al, 2011).…”
Section: Systems Thinking and Perspective On Ai Systemmentioning
confidence: 99%