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Bayesian optimization methods allocate limited sampling budgets to maximize expensive-to-evaluate functions.
A new method of locating the maximum of an arbitrary multi-peak curve in the presence of noise
H. J. Kushner · 1964
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Controlled Markov Processes
E.B. Dynkin and A. A. Yushkevich · 1975
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A probabilistic algorithm for global optimization
F Archetti and B Betro · 1979
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Antanas Zilinskas · 1985
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Bayesian approach to global optimization: theory and applications
J. Mockus · 1989
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The rank transformation applied to a multi-univariate method of global optimization
C Perttunen and B.E. Stuckman · 1989
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The rank transformation applied to a multivariate method of global optimization
Cary D Perttunen and Bruce E Stuckman · 1990
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Approximation and optimization on the wiener space
Klaus Ritter · 1990
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A stochastic technique for global optimization
B. Betrò and F. Schoen · 1991
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Bayesian methods in global optimization
Bruno Betrò · 1991
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A study of alternate stochastic models in kushner-based global optimization methods
Cary D Perttunen · 1991
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An adaptive stochastic global optimization algorithm for one-dimensional functions
Marco Locatelli and Fabio Schoen · 1995
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Bayesian algorithms for one-dimensional global optimization
Marco Locatelli · 1997
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Efficient Global Optimization of Expensive Black-Box Functions
D.R. Jones, M. Schonlau, and W.J. Welch · 1998
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On the convergence of the P-algorithm for one-dimensional global optimization of smooth functions
J Calvin and A Žilinskas · 1999
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One-Dimensional P-Algorithm with Convergence Rate O (n- 3+ δ \delta ) for Smooth Functions
J Calvin and A Žilinskas · 2000
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A One-Dimensional Optimization Algorithm and Its Convergence Rate under the Wiener Measure
James M. Calvin · 2001
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One-dimensional Global Optimization Based on Statistical Models
J M Calvin and A Zilinskas · 2002
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Flexibility and Efficiency Enhancements for Constrained Global Design Optimization with Kriging Approximations
Convergence properties of the expected improvement algorithm with fixed mean and covariance functions
Emmanuel Vazquez and Julien Bect · 2010
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Convergence rates of efficient global optimization algorithms
Adam D Bull · 2011
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The correlated knowledge gradient for simulation optimization of continuous parameters using gaussian process regression
Warren Scott, Peter I. Frazier, and Warren B. Powell · 2011
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Sequential sampling for selection with economics of selection procedures
S. E. Chick and P. I. Frazier · 2012
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Tutorial: Optimization via simulation with bayesian statistics and dynamic programming
P. I. Frazier · 2012
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Practical bayesian optimization of machine learning algorithms
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M.J. Sasena · 2002
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Approximate Dynamic Programming: Solving the curses of dimensionality
W. B. Powell · 2007
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Engineering design via surrogate modelling: a practical guide
A Forrester, A Sobester, and A Keane · 2008
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A Tutorial on Bayesian Optimization of Expensive Cost Functions, with Application to Active User Modeling and Hierarchical Reinforcement Learning
E Brochu, M Cora, and N de Freitas · 2009
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The knowledge gradient policy for correlated normal beliefs
P. I. Frazier, W. B. Powell, and S. Dayanik · 2009
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Towards gaussian process-based optimization with finite time horizon
David Ginsbourger and Rodolphe Le Riche · 2010
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Regret bounds for gaussian process bandit problems
Steffen Grünewälder, Jean-Yves Audibert, Manfred Opper, and John Shawe-Taylor · 2010
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Jasper Snoek, Hugo Larochelle, and Ryan P Adams · 2012
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Active learning for level set estimation
Alkis Gotovos, Nathalie Casati, Gregory Hitz, and Andreas Krause · 2013
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Bisection search with noisy responses
R. Waeber, P. I. Frazier, and S. G. Henderson · 2013
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Sequential bayes-optimal policies for multiple comparisons with a known standard
J. Xie and P. I. Frazier · 2013
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Bayesian optimization with inequality constraints
Jacob Gardner, Matt Kusner, Zhixiang Xu, Kilian Weinberger, and John Cunningham · 2014
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Fully autonomous focused exploration for robotic environmental monitoring
Gregory Hitz, Alkis Gotovos, Francois Pomerleau, Marie-Eve Garneau, Cedric Pradalier, Andreas Krause, and Roland Siegwart · 2014
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Bayesian optimization for materials design
P.I. Frazier and J. Wang · 2015
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