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Title of Journal: Struct Multidisc Optim

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Abbravation: Structural and Multidisciplinary Optimization

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Springer-Verlag

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DOI

10.1002/pi.3206

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1615-1488

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Metamodeling by symbolic regression and Pareto sim

Authors: Erwin Stinstra Gijs Rennen Geert Teeuwen
Publish Date: 2007/05/03
Volume: 35, Issue: 4, Pages: 315-326
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Abstract

The subject of this paper is a new approach to symbolic regression Other publications on symbolic regression use genetic programming This paper describes an alternative method based on Pareto simulated annealing Our method is based on linear regression for the estimation of constants Interval arithmetic is applied to ensure the consistency of a model To prevent overfitting we merit a model not only on predictions in the data points but also on the complexity of a model For the complexity we introduce a new measure We compare our new method with the Kriging metamodel and against a symbolic regression metamodel based on genetic programming We conclude that Paretosimulatedannealingbased symbolic regression is very competitive compared to the other metamodel approachesThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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Other Papers In This Journal:
  1. Aims, scope, methods, history and unified terminology of computer-aided topology optimization in structural mechanics
  2. Multi-dimensional optimization of functionally graded material composition using polynomial expansion of the volume fraction
  3. On symmetry and non-uniqueness in exact topology optimization
  4. Integrated layout and topology optimization design of multi-frame and multi-component fuselage structure systems
  5. Single-level composite wing optimization based on flexural lamination parameters
  6. Topology optimization of composite structures with data-driven resin filling time manufacturing constraint
  7. A survey on handling computationally expensive multiobjective optimization problems using surrogates: non-nature inspired methods
  8. Minimum weight design of solid annular plates under an assigned limit ring load
  9. A sensitivity-based commonality strategy for family products of mild variation, with application to automotive body structures
  10. A new reliability analysis method based on the conjugate gradient direction
  11. Aircraft wing box optimization considering uncertainty in surrogate models
  12. Multidisciplinary dynamic optimization of horizontal axis wind turbine design
  13. Geometrical aspects of optimum truss like structures for three-force problem
  14. Advances in optimization of highrise building structures
  15. Topology optimization of fail-safe structures using a simplified local damage model
  16. Topology optimization of frame structures with flexible joints
  17. A concurrent subspace collaborative optimization architecture to structural synthetical optimization design
  18. Topology optimization of internal partitions in a flow-reversing chamber muffler for noise reduction
  19. Material interpolation schemes for unified topology and multi-material optimization
  20. Variational proof of optimality criteria for Michell structures with pre-existing members
  21. Drop test simulation and surrogate-based optimization of a dishwasher mechanical structure and its packaging module
  22. Resolving issues with member buckling in truss topology optimization using a mixed variable approach
  23. Adaptive infill sampling criterion for multi-fidelity optimization based on Gappy-POD
  24. A comparative study of uncertainty propagation methods for black-box-type problems
  25. Multiobjective optimization for crash safety design of vehicles using stepwise regression model
  26. A double-distribution statistical algorithm for composite laminate optimization
  27. Robust design optimization by polynomial dimensional decomposition
  28. A crossing sensitivity filter for structural topology optimization with chamfering, rounding, and checkerboard-free patterns
  29. Hybrid evolutionary algorithm and application to structural optimization
  30. Topology optimization of shell structures using adaptive inner-front (AIF) level set method
  31. Harmony search algorithm for minimum cost design of steel frames with semi-rigid connections and column bases
  32. Optimization of a contact surface
  33. A multi-objective, multidisciplinary design optimization methodology for the conceptual design of a spacecraft bi-propellant propulsion system
  34. Optimum design of a controlled cable stayed bridge subject to earthquakes
  35. Design optimization of a runflat structure based on multi-objective genetic algorithm
  36. On minimum compliance problems of thin elastic plates of varying thickness
  37. On the analytical derivation of the Pareto-optimal set with applications to structural design
  38. Hierarchical model calibration for designing piezoelectric energy harvester in the presence of variability in material properties and geometry
  39. Topology optimization of free vibrating continuum structures based on the element free Galerkin method
  40. Fracture resistance via topology optimization
  41. Analysis and optimal design of plates and shells under dynamic loads – II: optimization
  42. Approximation of the critical buckling factor for composite panels
  43. Adhesive surface design using topology optimization
  44. Optimal design of hydraulic support
  45. A modified ant colony algorithm for the stacking sequence optimisation of a rectangular laminate
  46. Topology optimization of inertia driven dosing units
  47. Shape sensitivity analysis using a fixed basis function finite element approach
  48. Multiobjective evolutionary optimization of periodic layered materials for desired wave dispersion characteristics
  49. Globally optimal benchmark solutions to some small-scale discretized continuum topology optimization problems
  50. Multi-constrained topology optimization via the topological sensitivity
  51. A multi-objective differential evolution approach based on ε-elimination uniform-diversity for mechanism design
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