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sMF-BO-2CoGP: A sequential multi-fidelity constrained Bayesian optimization framework for design applications

Journal Article · · Journal of Computing and Information Science in Engineering
DOI:https://doi.org/10.1115/1.4046697· OSTI ID:1605731
 [1];  [1];  [2]
  1. Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
  2. Xilinx, Inc., San Jose, CA (United States)
Bayesian optimization (BO) is an effective surrogate-based method that has been widely used to optimize simulation-based applications. While the traditional Bayesian optimization approach only applies to single-fidelity models, many realistic applications provide multiple levels of fidelity with various levels of computational complexity and predictive capability. In this work, we propose a multi-fidelity Bayesian optimization method for design applications with both known and unknown constraints. The proposed framework, called sMF-BO-2CoGP, is built on a multi-level CoKriging method to predict the objective function. An external binary classifier, which we approximate using a separate CoKriging model, is used to distinguish between feasible and infeasible regions. Finally, the sMF-BO-2CoGP method is demonstrated using a series of analytical examples and a flip-chip application for design optimization to minimize the deformation due to warping under thermal loading conditions.
Research Organization:
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)
Sponsoring Organization:
USDOE Laboratory Directed Research and Development (LDRD) Program; USDOE National Nuclear Security Administration (NNSA); USDOE Office of Science (SC)
Grant/Contract Number:
AC04-94AL85000; NA0003525
OSTI ID:
1605731
Report Number(s):
SAND-2020-3026J; 684693
Journal Information:
Journal of Computing and Information Science in Engineering, Journal Name: Journal of Computing and Information Science in Engineering Journal Issue: 3 Vol. 20; ISSN 1530-9827
Publisher:
ASMECopyright Statement
Country of Publication:
United States
Language:
English

References (34)

Gaussian Processes in Machine Learning book January 2004
The Bayesian approach to global optimization book January 2005
Sequential kriging optimization using multiple-fidelity evaluations journal May 2006
Multi-information source constrained Bayesian optimization journal October 2018
Constrained mixed-integer Gaussian mixture Bayesian optimization and its applications in designing fractal and auxetic metamaterials journal January 2019
Blind Kriging: Implementation and performance analysis journal July 2012
A real-integer-discrete-coded particle swarm optimization for design problems journal June 2011
pBO-2GP-3B: A batch parallel known/unknown constrained Bayesian optimization with feasibility classification and its applications in computational fluid dynamics journal April 2019
Convex relaxation for IMSE optimal design in random-field models journal September 2017
Machine learning of linear differential equations using Gaussian processes journal November 2017
WearGP: A computationally efficient machine learning framework for local erosive wear predictions via nodal Gaussian processes journal March 2019
Efficient Global Optimization of Expensive Black-Box Functions journal January 1998
Random Forests journal January 2001
Least Squares Support Vector Machine Classifiers journal June 1999
Deep learning journal May 2015
Sequential Design and Analysis of High-Accuracy and Low-Accuracy Computer Codes journal August 2012
Comparing Computer Experiments for the Gaussian Process Model Using Integrated Prediction Variance journal April 2013
Predicting the output from a complex computer code when fast approximations are available journal March 2000
Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling journal February 2017
Support vector machines journal July 1998
Taking the Human Out of the Loop: A Review of Bayesian Optimization journal January 2016
Information-Theoretic Regret Bounds for Gaussian Process Optimization in the Bandit Setting journal May 2012
A New Method of Locating the Maximum Point of an Arbitrary Multipeak Curve in the Presence of Noise journal March 1964
Determination of Energy Release Rate Through Sequential Crack Extension journal August 2017
An Efficient First-Principles Saddle Point Searching Method Based on Distributed Kriging Metamodels journal September 2017
Multi-Information Source Fusion and Optimization to Realize ICME: Application to Dual-Phase Materials journal September 2018
Computational Optimization Study of Transcatheter Aortic Valve Leaflet Design Using Porcine and Bovine Leaflets journal October 2019
Spectral Approximation of the IMSE Criterion for Optimal Designs in Kernel-Based Interpolation Models journal January 2014
Multidimensional binary search trees used for associative searching journal September 1975
Completely Derandomized Self-Adaptation in Evolution Strategies journal June 2001
Reducing the Time Complexity of the Derandomized Evolution Strategy with Covariance Matrix Adaptation (CMA-ES) journal March 2003
Active Reward Learning conference July 2014
Recursive Co-Kriging Model for Design of Computer Experiments with Multiple Levels of Fidelity journal January 2014
Multi-class AdaBoost journal January 2009

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