Gaussian Process Surrogate Model with Composite Kernel Learning for Engineering Design

The composite kernel learning (CKL) method is introduced to efficiently construct composite kernels for Gaussian process (GP) surrogate models with applications in engineering design. The mixture o...

[1]  H. Lomax,et al.  Thin-layer approximation and algebraic model for separated turbulent flows , 1978 .

[2]  Stefan Görtz,et al.  Hierarchical Kriging Model for Variable-Fidelity Surrogate Modeling , 2012 .

[3]  Liang Gao,et al.  Ensemble of surrogates with hybrid method using global and local measures for engineering design , 2018 .

[4]  Soshi Kawai,et al.  Kriging-model-based uncertainty quantification in computational fluid dynamics , 2014 .

[5]  B. Launder,et al.  The numerical computation of turbulent flows , 1990 .

[6]  L. Reid,et al.  Design and overall performance of four highly loaded, high speed inlet stages for an advanced high-pressure-ratio core compressor , 1978 .

[7]  Pramudita Satria Palar,et al.  Efficient global optimization with ensemble and selection of kernel functions for engineering design , 2018, Structural and Multidisciplinary Optimization.

[8]  Salvador Pintos,et al.  An Optimization Methodology of Alkaline-Surfactant-Polymer Flooding Processes Using Field Scale Numerical Simulation and Multiple Surrogates , 2005 .

[9]  A. Forrester,et al.  Design and analysis of 'noisy' computer experiments , 2006 .

[10]  R. Haftka,et al.  Ensemble of surrogates , 2007 .

[11]  Yi Gao,et al.  Unified reliability analysis by active learning Kriging model combining with Random‐set based Monte Carlo simulation method , 2016 .

[12]  Daniel L. Clark,et al.  Engineering Design Exploration Using Locally Optimized Covariance Kriging , 2016 .

[13]  Jian Liu,et al.  An efficient ensemble of radial basis functions method based on quadratic programming , 2016 .

[14]  Mariusz Bujny,et al.  Kriging-assisted topology optimization of crash structures , 2019, Computer Methods in Applied Mechanics and Engineering.

[15]  T. Gneiting Compactly Supported Correlation Functions , 2002 .

[16]  David J. J. Toal,et al.  Some considerations regarding the use of multi-fidelity Kriging in the construction of surrogate models , 2015 .

[17]  Shigeru Obayashi,et al.  Performance Map Construction for a Centrifugal Diffuser with Data Mining Techniques , 2010 .

[18]  Zhonghua Han,et al.  Efficient Uncertainty Quantification using Gradient-Enhanced Kriging , 2009 .

[19]  Joaquim R. R. A. Martins,et al.  Gradient-enhanced kriging for high-dimensional problems , 2017, Engineering with Computers.

[20]  P. Khare,et al.  Design Space Exploration for Vaporizing Liquid Jet in Air Crossflow using Machine Learning , 2019, AIAA Scitech 2019 Forum.

[21]  T. Simpson,et al.  Use of Kriging Models to Approximate Deterministic Computer Models , 2005 .

[22]  Jack P. C. Kleijnen,et al.  Regression and Kriging metamodels with their experimental designs in simulation: A review , 2017, Eur. J. Oper. Res..

[23]  R. Haftka,et al.  Review of multi-fidelity models , 2016, Advances in Computational Science and Engineering.

[24]  R. Haftka,et al.  Multiple surrogates: how cross-validation errors can help us to obtain the best predictor , 2009 .

[25]  Kazuomi Yamamoto,et al.  Efficient Optimization Design Method Using Kriging Model , 2005 .

[26]  Alexander I. J. Forrester,et al.  Multi-fidelity optimization via surrogate modelling , 2007, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[27]  Donald R. Jones,et al.  Efficient Global Optimization of Expensive Black-Box Functions , 1998, J. Glob. Optim..

[28]  Nicolas Gayton,et al.  AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation , 2011 .

[29]  Nam H. Kim,et al.  Issues in Deciding Whether to Use Multifidelity Surrogates , 2019, AIAA Journal.

[30]  Farrokh Mistree,et al.  Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization , 2001 .

[31]  P. Spalart A One-Equation Turbulence Model for Aerodynamic Flows , 1992 .

[32]  Shigeru Obayashi,et al.  Topology optimization of fluid problems using genetic algorithm assisted by the Kriging model , 2017 .

[33]  Joe Wiart,et al.  A new surrogate modeling technique combining Kriging and polynomial chaos expansions - Application to uncertainty analysis in computational dosimetry , 2015, J. Comput. Phys..

[34]  Gavin C. Cawley,et al.  Machine Learning and Data Mining in Pattern Recognition , 2017, Lecture Notes in Computer Science.

[35]  Shengli Xu,et al.  Optimal Weighted Pointwise Ensemble of Radial Basis Functions with Different Basis Functions , 2016 .

[36]  Tom Dhaene,et al.  Performance study of gradient-enhanced Kriging , 2015, Engineering with Computers.

[37]  Bernard Grossman,et al.  Polynomial Response Surface Approximations for the Multidisciplinary Design Optimization of a High Speed Civil Transport , 2001 .

[38]  Pramudita Satria Palar,et al.  Ensemble of Kriging with Multiple Kernel Functions for Engineering Design Optimization , 2018, BIOMA.

[39]  H. Sobieczky Parametric Airfoils and Wings , 1999 .

[40]  KersaudyPierric,et al.  A new surrogate modeling technique combining Kriging and polynomial chaos expansions - Application to uncertainty analysis in computational dosimetry , 2015 .

[41]  Jooyoung Park,et al.  Universal Approximation Using Radial-Basis-Function Networks , 1991, Neural Computation.

[42]  David Ginsbourger,et al.  Discrete mixtures of kernels for Kriging‐based optimization , 2008, Qual. Reliab. Eng. Int..

[43]  Ethem Alpaydin,et al.  Multiple Kernel Learning Algorithms , 2011, J. Mach. Learn. Res..

[44]  Richard P. Dwight,et al.  Exploiting Adjoint Derivatives in High-Dimensional Metamodels , 2015 .

[45]  Thomas D. Economon,et al.  Stanford University Unstructured (SU 2 ): An open-source integrated computational environment for multi-physics simulation and design , 2013 .

[46]  Petros Koumoutsakos,et al.  Reducing the Time Complexity of the Derandomized Evolution Strategy with Covariance Matrix Adaptation (CMA-ES) , 2003, Evolutionary Computation.

[47]  Joaquim R. R. A. Martins,et al.  Surrogate models and mixtures of experts in aerodynamic performance prediction for mission analysis , 2014 .

[48]  Pramudita Satria Palar,et al.  Benchmarking Multi-Objective Bayesian Global Optimization Strategies for Aerodynamic Design , 2018 .

[49]  Kenji Takeda,et al.  Multifidelity surrogate modeling of experimental and computational aerodynamic data sets , 2011 .

[50]  P. Sagaut,et al.  Building Efficient Response Surfaces of Aerodynamic Functions with Kriging and Cokriging , 2008 .

[51]  B. Sudret,et al.  Metamodel-based importance sampling for structural reliability analysis , 2011, 1105.0562.

[52]  Gabriel Kronberger,et al.  Evolution of Covariance Functions for Gaussian Process Regression Using Genetic Programming , 2013, EUROCAST.

[53]  Timon Rabczuk,et al.  A surrogate assisted adaptive framework for robust topology optimization , 2019, Computer Methods in Applied Mechanics and Engineering.

[54]  Sourajeet Roy,et al.  Analysis of a Polynomial Chaos-Kriging Metamodel for Uncertainty Quantification in Aerodynamics , 2019 .

[55]  Chien-Yu Peng,et al.  On the Choice of Nugget in Kriging Modeling for Deterministic Computer Experiments , 2014 .

[56]  G. Moreaux,et al.  Compactly supported radial covariance functions , 2008 .

[57]  Kyung K. Choi,et al.  Metamodeling Method Using Dynamic Kriging for Design Optimization , 2011 .

[58]  E. Acar Various approaches for constructing an ensemble of metamodels using local measures , 2010 .

[59]  Liang Gao,et al.  A combined projection-outline-based active learning Kriging and adaptive importance sampling method for hybrid reliability analysis with small failure probabilities , 2019, Computer Methods in Applied Mechanics and Engineering.

[60]  Zhenzhou Lu,et al.  Mixed kernel function support vector regression for global sensitivity analysis , 2017 .

[61]  Ahsan Kareem,et al.  Aerodynamic shape optimization of civil structures: A CFD-enabled Kriging-based approach , 2015 .

[62]  Sondipon Adhikari,et al.  A Critical Assessment of Kriging Model Variants for High-Fidelity Uncertainty Quantification in Dynamics of composite Shells , 2016, Archives of Computational Methods in Engineering.