Deterministic global optimization with Gaussian processes embedded
DOI10.1007/s12532-021-00204-yzbMath1476.90270arXiv2005.10902OpenAlexW3175956409MaRDI QIDQ2062323
Artur M. Schweidtmann, Dominik Bongartz, Jaromił Najman, Tim Kerkenhoff, Xiaopeng Lin, Daniel Grothe, Alexander Mitsos
Publication date: 27 December 2021
Published in: Mathematical Programming Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.10902
krigingchance-constrained programmingmachine learningexpected improvementBayesian optimizationreduced-spaceacquisition function
Applications of mathematical programming (90C90) Nonconvex programming, global optimization (90C26) Nonlinear programming (90C30) General topics in artificial intelligence (68T01) Software, source code, etc. for problems pertaining to probability theory (60-04)
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- Global optimization advances in mixed-integer nonlinear programming, MINLP, and constrained derivative-free optimization, CDFO
- Reverse propagation of McCormick relaxations
- Three enhancements for optimization-based bound tightening
- Efficient multiobjective optimization employing Gaussian processes, spectral sampling and a genetic algorithm
- Efficient global optimization of expensive black-box functions
- A reduced space branch and bound algorithm for global optimization.
- Design and analysis of computer experiments. With comments and a rejoinder by the authors
- Deterministic global optimization of process flowsheets in a reduced space using McCormick relaxations
- Deterministic global optimization with artificial neural networks embedded
- Convex envelopes for edge-concave functions
- A polyhedral branch-and-cut approach to global optimization
- Convexification and global optimization in continuous and mixed-integer nonlinear programming. Theory, algorithms, software, and applications
- \(\alpha BB\): A global optimization method for general constrained nonconvex problems
- ANTIGONE: algorithms for coNTinuous/Integer global optimization of nonlinear equations
- Multivariate McCormick relaxations
- On tightness and anchoring of McCormick and other relaxations
- ARGONAUT: algorithms for global optimization of constrained grey-box computational problems
- On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
- Predictive Approaches for Choosing Hyperparameters in Gaussian Processes
- Chance-Constrained Programming
- Convex and concave relaxations of implicit functions
- FILIB++, a fast interval library supporting containment computations
- McCormick-Based Relaxations of Algorithms
- Computability of global solutions to factorable nonconvex programs: Part I — Convex underestimating problems
- Algorithm 733: TOMP–Fortran modules for optimal control calculations
- Information-Theoretic Regret Bounds for Gaussian Process Optimization in the Bandit Setting
- SNOPT: An SQP Algorithm for Large-Scale Constrained Optimization
- Advanced Lectures on Machine Learning
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