Integrated neuro-evolution-based computing solver for dynamics of nonlinear corneal shape model numerically

In this study, bio-inspired computational techniques have been exploited to get the numerical solution of a nonlinear two-point boundary value problem arising in the modelling of the corneal shape. The computational process of modelling and optimization makes enormously straightforward to obtain acc...

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Veröffentlicht in:Neural computing & applications Jg. 33; H. 11; S. 5753 - 5769
Hauptverfasser: Ahmad, Iftikhar, Raja, Muhammad Asif Zahoor, Ramos, Higinio, Bilal, Muhammad, Shoaib, Muhammad
Format: Journal Article
Sprache:Englisch
Veröffentlicht: London Springer London 01.06.2021
Springer Nature B.V
Schlagworte:
Artificial Intelligence
Artificial neural networks
Biomimetics
Boundary value problems
Computational Biology/Bioinformatics
Computational Science and Engineering
Computer Science
Computing costs
Cornea
Data Mining and Knowledge Discovery
Genetic algorithms
Histograms
Image Processing and Computer Vision
Mathematical models
Nonlinear dynamics
Optimization
Original Article
Pattern search
Probability and Statistics in Computer Science
Quadratic programming
Simulated annealing
Solvers
Statistical analysis
Variance analysis
Optimization techniques
Stochastic numerical computing
Corneal shape models
Neural networks
Genetic algorithms
ISSN:0941-0643, 1433-3058
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Zusammenfassung:In this study, bio-inspired computational techniques have been exploited to get the numerical solution of a nonlinear two-point boundary value problem arising in the modelling of the corneal shape. The computational process of modelling and optimization makes enormously straightforward to obtain accurate approximate solutions of the corneal shape models through artificial neural networks, pattern search (PS), genetic algorithms (GAs), simulated annealing (SA), active-set technique (AST), interior-point technique, sequential quadratic programming and their hybrid forms based on GA–AST, PS–AST and SA–AST. Numerical results show that the designed solvers provide a reasonable precision and efficiency with minimal computational cost. The efficacy of the proposed computing strategies is also investigated through a descriptive statistical analysis by means of histogram illustrations, probability plots and one-way analysis of variance.
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ISSN:0941-0643
1433-3058
DOI:10.1007/s00521-020-05355-y