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This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

最优化与控制 · 数学 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal

Multi-fidelity surrogate models combining dimensionality reduction and an intermediate surrogate in the reduced space allow a cost-effective emulation of simulators with functional outputs. The surrogate is an input-output mapping learned…

计算工程、金融与科学 · 计算机科学 2024-12-17 Lucas Brunel , Mathieu Balesdent , Loïc Brevault , Rodolphe Le Riche , Bruno Sudret

We introduce a novel approach for end-to-end black-box optimization of high energy physics (HEP) detectors using local deep learning (DL) surrogates. These surrogates approximate a scalar objective function that encapsulates the complex…

机器学习 · 计算机科学 2025-03-19 Kinga Anna Wozniak , Stephen Mulligan , Jan Kieseler , Markus Klute , Francois Fleuret , Tobias Golling

Recently surrogate functions based on the tail inequalities were developed to evaluate the chance constraints in the context of evolutionary computation and several Pareto optimization algorithms using these surrogates were successfully…

人工智能 · 计算机科学 2024-04-19 Xiankun Yan , Aneta Neumann , Frank Neumann

We propose an algorithm for an optimal adaptive selection of points from the design domain of input random variables that are needed for an accurate estimation of failure probability and the determination of the boundary between safe and…

计算工程、金融与科学 · 计算机科学 2023-06-30 Aleksei Gerasimov , Miroslav Vořechovský

Hyperparameter optimization (HPO) is a central pillar in the automation of machine learning solutions and is mainly performed via Bayesian optimization, where a parametric surrogate is learned to approximate the black box response function…

机器学习 · 计算机科学 2021-01-20 Martin Wistuba , Josif Grabocka

We consider the sample efficient estimation of failure probabilities from expensive oracle evaluations of a limit state function via importance sampling (IS). In contrast to conventional ``two stage'' approaches, which first train a…

统计计算 · 统计学 2026-04-10 Ashwin Renganathan , Annie S. Booth

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

机器学习 · 统计学 2019-01-16 Yibo Yang , Paris Perdikaris

Offline optimization has recently emerged as an increasingly popular approach to mitigate the prohibitively expensive cost of online experimentation. The key idea is to learn a surrogate of the black-box function that underlines the target…

机器学习 · 计算机科学 2025-03-07 Manh Cuong Dao , Phi Le Nguyen , Thao Nguyen Truong , Trong Nghia Hoang

Trial level surrogates are useful tools for improving the speed and cost effectiveness of trials, but surrogates that have not been properly evaluated can cause misleading results. The evaluation procedure is often contextual and depends on…

统计方法学 · 统计学 2022-08-23 Michael C Sachs , Erin E Gabriel , Alessio Crippa , Michael J Daniels

We consider minimizing functions for which it is expensive to compute the (possibly stochastic) gradient. Such functions are prevalent in reinforcement learning, imitation learning and adversarial training. Our target optimization framework…

机器学习 · 计算机科学 2023-06-09 Jonathan Wilder Lavington , Sharan Vaswani , Reza Babanezhad , Mark Schmidt , Nicolas Le Roux

In real case applications within the virtual prototyping process, it is not always possible to reduce the complexity of the physical models and to obtain numerical models which can be solved quickly. Usually, every single numerical…

统计方法学 · 统计学 2024-08-08 Thomas Most , Johannes Will

Continuous high frequency water quality monitoring is becoming a critical task to support water management. Despite the advancements in sensor technologies, certain variables cannot be easily and/or economically monitored in-situ and in…

机器学习 · 计算机科学 2020-01-28 María Castrillo , Álvaro López García

We consider problems related to initial meshing and adaptive mesh refinement for the electromagnetic simulation of various structures. The quality of the initial mesh and the performance of the adaptive refinement are of great importance…

Experience rating in insurance uses a Bayesian credibility model to upgrade the current premiums of a contract by taking into account policyholders' attributes and their claim history. Most data-driven models used for this task are…

统计方法学 · 统计学 2024-06-13 Sebastian Calcetero-Vanegas , Andrei L. Badescu , X. Sheldon Lin

We explore a hybrid technique to quantify the variability in the numerical solutions to a free boundary problem associated with magnetic equilibrium in axisymmetric fusion reactors amidst parameter uncertainties. The method aims at reducing…

计算物理 · 物理学 2026-03-03 Howard Elman , Jiaxing Liang , Tonatiuh Sánchez-Vizuet

Surrogate models provide a low computational cost alternative to evaluating expensive functions. The construction of accurate surrogate models with large numbers of independent variables is currently prohibitive because it requires a large…

机器学习 · 计算机科学 2017-08-10 Mohamed Amine Bouhlel , Joaquim R. R. A. Martins

Often, the performance on a supervised machine learning task is evaluated with a emph{task loss} function that cannot be optimized directly. Examples of such loss functions include the classification error, the edit distance and the BLEU…

Surrogate variables in electronic health records (EHR) and biobank data play an important role in biomedical studies due to the scarcity or absence of chart-reviewed gold standard labels. We develop a novel approach named SASH for {\bf…

统计方法学 · 统计学 2023-09-04 Yue Liu , Molei Liu , Zijian Guo , Tianxi Cai

Simulating physical systems is essential in engineering, but analytical solutions are limited to straightforward problems. Consequently, numerical methods like the Finite Element Method (FEM) are widely used. However, the FEM becomes…

机器学习 · 计算机科学 2026-01-30 Niklas Freymuth , Philipp Dahlinger , Tobias Würth , Simon Reisch , Luise Kärger , Gerhard Neumann
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