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Accurate surrogate construction for PDE-driven high-dimensional rare-event simulation is challenging when performance evaluations are expensive. Since a globally accurate surrogate may require many high-fidelity evaluations, adaptive…

Numerical Analysis · Mathematics 2026-05-18 Zhiwei Gao , George Karniadakis

The optimization of high dimensional functions is a key issue in engineering problems but it frequently comes at a cost that is not acceptable since it usually involves a complex and expensive computer code. Engineers often overcome this…

Machine Learning · Statistics 2019-06-18 Adrien Spagnol , Rodolphe Le Riche , Sebastien Da Veiga

The abundance of models of complex networks and the current insufficient validation standards make it difficult to judge which models are strongly supported by data and which are not. We focus here on likelihood maximization methods for…

Physics and Society · Physics 2014-03-26 Matus Medo

This paper studies a dynamic real-time optimization in the context of model-based time-optimal operation of batch processes under parametric model mismatch. In order to tackle the model-mismatch issue, a receding-horizon policy is usually…

Systems and Control · Electrical Eng. & Systems 2019-07-10 Radoslav Paulen , Miroslav Fikar

While complex simulations of physical systems have been widely used in engineering and scientific computing, lowering their often prohibitive computational requirements has only recently been tackled by deep learning approaches. In this…

Numerical Analysis · Mathematics 2023-10-26 Chuanbo Hua , Federico Berto , Michael Poli , Stefano Massaroli , Jinkyoo Park

A key aspect of human cognition is metacognition - the ability to assess one's own knowledge and judgment reliability. While deep learning models can express confidence in their predictions, they often suffer from poor calibration, a…

Machine Learning · Computer Science 2025-12-12 Le Tuan Minh Trinh , Le Minh Vu Pham , Thi Minh Anh Pham , An Duc Nguyen

The global sensitivity analysis of a complex numerical model often calls for the estimation of variance-based importance measures, named Sobol' indices. Metamodel-based techniques have been developed in order to replace the cpu…

Computation · Statistics 2011-04-22 Amandine Marrel , Bertrand Iooss , Michel Jullien , Beatrice Laurent , Elena Volkova

Model predictive control is a powerful tool to generate complex motions for robots. However, it often requires solving non-convex problems online to produce rich behaviors, which is computationally expensive and not always practical in real…

Robotics · Computer Science 2022-09-21 Avadesh Meduri , Huaijiang Zhu , Armand Jordana , Ludovic Righetti

Decades of progress in simulation-based surrogate-assisted optimization and unprecedented growth in computational power have enabled researchers and practitioners to optimize previously intractable complex engineering problems. This paper…

Neural and Evolutionary Computing · Computer Science 2022-12-14 Qi Huang , Roy de Winter , Bas van Stein , Thomas Bäck , Anna V. Kononova

Optimization constrained by high-fidelity computational models has potential for transformative impact. However, such optimization is frequently unattainable in practice due to the complexity and computational intensity of the model. An…

Numerical Analysis · Mathematics 2024-06-04 Joseph Hart , Bart van Bloemen Waanders

The problem of learning the structure of a high dimensional graphical model from data has received considerable attention in recent years. In many applications such as sensor networks and proteomics it is often expensive to obtain samples…

Machine Learning · Statistics 2016-04-08 Gautam Dasarathy , Aarti Singh , Maria-Florina Balcan , Jong Hyuk Park

Model-based approaches have become increasingly popular in the domain of automated driving. This includes runtime algorithms, such as Model Predictive Control, as well as formal and simulative approaches for the verification of automated…

Systems and Control · Electrical Eng. & Systems 2020-05-12 Marcus Nolte , Richard Schubert , Cordula Reisch , Markus Maurer

Sensitivity analysis is routinely performed on simplified surrogate models as the cost of such analysis on the original model may be prohibitive. Little is known in general about the induced bias on the sensitivity results. Within the…

Numerical Analysis · Mathematics 2020-03-18 Michael Merritt , Alen Alexanderian , Pierre A. Gremaud

We propose a new randomized optimization method for high-dimensional problems which can be seen as a generalization of coordinate descent to random subspaces. We show that an adaptive sampling strategy for the random subspace significantly…

Optimization and Control · Mathematics 2019-12-19 Jonathan Lacotte , Mert Pilanci , Marco Pavone

Non-prehensile manipulation in high-dimensional systems is challenging for a variety of reasons. One of the main reasons is the computationally long planning times that come with a large state space. Trajectory optimisation algorithms have…

Robotics · Computer Science 2024-09-13 David Russell , Rafael Papallas , Mehmet Dogar

Metasurfaces offer a flexible framework for the manipulation of light properties in the realm of thin film optics. Specifically, the polarization of light can be effectively controlled through the use of thin phase plates. This study aims…

Data pruning, or instance selection, is an important problem in machine learning especially in terms of nearest neighbour classifier. However, in data pruning which speeds up the prediction phase, there is an issue related to the speed and…

Machine Learning · Computer Science 2025-01-22 Marcin Blachnik , Piotr Ciepliński

Surrogate models are data-based approximations of computationally expensive simulations that enable efficient exploration of the model's design space and informed decision-making in many physical domains. The usage of surrogate models in…

Sound · Computer Science 2022-12-14 Barbara Cunha , Abdel-Malek Zine , Mohamed Ichchou , Christophe Droz , Stéphane Foulard

We propose an efficient surrogate modeling technique for uncertainty quantification. The method is based on a well-known dimension-adaptive collocation scheme. We improve the scheme by enhancing sparse polynomial surrogates with conformal…

Computational Engineering, Finance, and Science · Computer Science 2020-05-20 Niklas Georg , Dimitrios Loukrezis , Ulrich Römer , Sebastian Schöps

Learning optimal resource allocation policies in wireless systems can be effectively achieved by formulating finite dimensional constrained programs which depend on system configuration, as well as the adopted learning parameterization. The…

Systems and Control · Electrical Eng. & Systems 2020-12-02 Dionysios S. Kalogerias , Mark Eisen , George J. Pappas , Alejandro Ribeiro