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The scenario-based optimization approach (`scenario approach') provides an intuitive way of approximating the solution to chance-constrained optimization programs, based on finding the optimal solution under a finite number of sampled…

Optimization and Control · Mathematics 2025-10-02 Georg Schildbach , Lorenzo Fagiano , Manfred Morari

As we aim to control complex systems, use of a simulator in model-based reinforcement learning is becoming more common. However, it has been challenging to overcome the Reality Gap, which comes from nonlinear model bias and susceptibility…

Robotics · Computer Science 2017-05-16 Gilwoo Lee , Siddhartha S. Srinivasa , Matthew T. Mason

Nonlinear dynamical systems with continuous variables can be used for solving combinatorial optimization problems with discrete variables. Numerical simulations of them are also useful as heuristic algorithms with a desirable property,…

Quantum Physics · Physics 2026-04-08 Hayato Goto , Ryo Hidaka , Kosuke Tatsumura

Despite large incentives, ecorrectness in software remains an elusive goal. Declarative programming techniques, where algorithms are derived from a specification of the desired behavior, offer hope to address this problem, since there is a…

Programming Languages · Computer Science 2018-01-22 Anthony Di Franco

We study stochastic optimization problems with objective function given by the expectation of the maximum of two linear functions defined on the component random variables of a multivariate Gaussian distribution. We consider random…

Optimization and Control · Mathematics 2021-12-15 David Bergman , Carlos Cardonha , Jason Imbrogno , Leonardo Lozano

Partial-differential-equation (PDE)-constrained optimization is a well-worn technique for acquiring optimal parameters of systems governed by PDEs. However, this approach is limited to providing a single set of optimal parameters per…

Computational Physics · Physics 2024-10-17 Archis S. Joglekar

We introduce a fully stochastic gradient based approach to Bayesian optimal experimental design (BOED). Our approach utilizes variational lower bounds on the expected information gain (EIG) of an experiment that can be simultaneously…

Machine Learning · Statistics 2020-02-28 Adam Foster , Martin Jankowiak , Matthew O'Meara , Yee Whye Teh , Tom Rainforth

Performance is one of the most important qualities of software. Several techniques have thus been proposed to improve it, such as program transformations, optimisation of software parameters, or compiler flags. Many automated software…

Software Engineering · Computer Science 2022-08-05 Aymeric Blot , Justyna Petke

Design optimization under uncertainty is notoriously difficult when the objective function is expensive to evaluate. State-of-the-art techniques, e.g, stochastic optimization or sampling average approximation, fail to learn exploitable…

Optimization and Control · Mathematics 2019-06-20 Piyush Pandita , Ilias Bilionis , Jitesh Panchal

Gaussian process (GP) regression provides a strategy for accelerating saddle point searches on high-dimensional energy surfaces by reducing the number of times the energy and its derivatives with respect to atomic coordinates need to be…

Chemical Physics · Physics 2025-12-03 Rohit Goswami , Hannes Jónsson

In this paper, gradient-based optimization methods are combined with finite-element modeling for improving electric devices. Geometric design parameters are considered by affine decomposition of the geometry or by the design element…

Variational quantum circuits have arisen as an important method in quantum computing. A crucial step of it is parameter optimization, which is typically tackled through gradient-descent techniques. We advantageously explore instead the use…

Quantum Physics · Physics 2024-12-24 Vignesh Anantharamakrishnan , Márcio M. Taddei

Quantum computers promise to solve important problems faster than conventional computers. However, unleashing this power has been challenging. In particular, design automation runs into (1) the probabilistic nature of quantum computation…

Quantum Physics · Physics 2023-11-08 Stefan Hillmich , Richard Kueng , Igor L. Markov , Robert Wille

We consider chance constrained optimization where it is sought to optimize a function while complying with constraints, both of which are affected by uncertainties. The high computational cost of realistic simulations strongly limits the…

Optimization and Control · Mathematics 2022-04-18 Julien Pelamatti , Rodolphe Le Riche , Céline Helbert , Christophette Blanchet-Scalliet

Real-world optimisation problems typically have objective functions which cannot be expressed analytically. These optimisation problems are evaluated through expensive physical experiments or simulations. Cheap approximations of the…

Neural and Evolutionary Computing · Computer Science 2022-11-01 Mohamed Z. Variawa , Terence L. Van Zyl , Matthew Woolway

The aim of global optimization is to find the global optimum of arbitrary classes of functions, possibly highly multimodal ones. In this paper we focus on the subproblem of global optimization for differentiable functions and we propose an…

Neural and Evolutionary Computing · Computer Science 2018-06-18 Louis Faury , Flavian Vasile , Clément Calauzènes , Olivier Fercoq

Generating simulated training data needed for constructing sufficiently accurate surrogate models to be used for efficient optimization or parameter identification can incur a huge computational effort in the offline phase. We consider a…

Numerical Analysis · Mathematics 2024-04-03 Phillip Semler , Martin Weiser

A Gaussian process (GP)-based methodology is proposed to emulate complex dynamical computer models (or simulators). The method relies on emulating the numerical flow map of the system over an initial (short) time step, where the flow map is…

Methodology · Statistics 2024-11-26 Hossein Mohammadi , Peter Challenor , Marc Goodfellow

Gaussian Process (GP) models are popular statistical surrogates used for emulating computationally expensive computer simulators. The quality of a GP model fit can be assessed by a goodness of fit measure based on optimized likelihood.…

Computation · Statistics 2013-09-27 Andrew Butler , Thomas D. Humphries , Pritam Ranjan , Ronald D. Haynes

Algorithms often have tunable parameters that impact performance metrics such as runtime and solution quality. For many algorithms used in practice, no parameter settings admit meaningful worst-case bounds, so the parameters are made…

Machine Learning · Computer Science 2021-04-27 Maria-Florina Balcan , Dan DeBlasio , Travis Dick , Carl Kingsford , Tuomas Sandholm , Ellen Vitercik