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Excessive loads near wounds produce pathological scarring and other complications. Presently, stress cannot easily be measured by surgeons in the operating room. Instead, surgeons rely on intuition and experience. Predictive computational…

医学物理 · 物理学 2020-10-07 Casey Stowers , Taeksang Lee , Ilias Bilionis , Arun Gosain , Adrian Buganza Tepole

Studying complex phenomena in detail by performing real experiments is often an unfeasible task. Virtual experiments using simulations are usually used to support the development process. However, numerical simulations are limited by their…

最优化与控制 · 数学 2022-11-17 Pietro Lualdi , Ralf Sturm , Tjark Siefkes

Bayesian inverse modeling is important for a better understanding of hydrological processes. However, this approach can be computationally demanding, as it usually requires a large number of model evaluations. To address this issue, one can…

统计计算 · 统计学 2020-02-24 Jiangjiang Zhang , Qiang Zheng , Dingjiang Chen , Laosheng Wu , Lingzao Zeng

In this work we introduce a manifold learning-based method for uncertainty quantification (UQ) in systems describing complex spatiotemporal processes. Our first objective is to identify the embedding of a set of high-dimensional data…

数据分析、统计与概率 · 物理学 2022-05-18 Katiana Kontolati , Dimitrios Loukrezis , Ketson R. M. dos Santos , Dimitrios G. Giovanis , Michael D. Shields

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

We propose a novel method for gradient-based optimization of black-box simulators using differentiable local surrogate models. In fields such as physics and engineering, many processes are modeled with non-differentiable simulators with…

Predictions of the mean and covariance matrix of summary statistics are critical for confronting cosmological theories with observations, not least for likelihood approximations and parameter inference. The price to pay for accurate…

宇宙学与河外天体物理 · 物理学 2022-07-20 Nicolas Chartier , Benjamin D. Wandelt

Polynomial chaos based methods enable the efficient computation of output variability in the presence of input uncertainty in complex models. Consequently, they have been used extensively for propagating uncertainty through a wide variety…

最优化与控制 · 数学 2020-09-18 Tuhin Sahai

Numerous engineering problems of interest to the industry are often characterized by expensive black-box objective experiments or computer simulations. Obtaining insight into the problem or performing subsequent optimizations requires…

机器学习 · 统计学 2019-07-29 Piyush Pandita , Jesper Kristensen , Liping Wang

Surrogate models provide a quick-to-evaluate approximation to complex computational models and are essential for multi-query problems like design optimisation. The inputs of current deterministic computational models are usually…

应用统计 · 统计学 2024-10-15 Thomas A. Archbold , Ieva Kazlauskaite , Fehmi Cirak

Since the invention of generalized polynomial chaos in 2002, uncertainty quantification has impacted many engineering fields, including variation-aware design automation of integrated circuits and integrated photonics. Due to the fast…

数值分析 · 计算机科学 2018-07-06 Chunfeng Cui , Zheng Zhang

Neutron noise analysis is a predominant technique for fissile matter identification with passive methods. Quantifying the uncertainties associated with the estimated nuclear parameters is crucial for decision-making. A conservative…

应用统计 · 统计学 2024-10-03 Paul Lartaud , Philippe Humbert , Josselin Garnier

Explainability of black-box machine learning models is crucial, in particular when deployed in critical applications such as medicine or autonomous cars. Existing approaches produce explanations for the predictions of models, however, how…

机器学习 · 计算机科学 2021-11-18 Jonas Schulz , Rafael Poyiadzi , Raul Santos-Rodriguez

The ongoing development of quantum processors is driving breakthroughs in scientific discovery. Despite this progress, the formidable cost of fabricating large-scale quantum processors means they will remain rare for the foreseeable future,…

量子物理 · 物理学 2025-07-24 Wei-You Liao , Yuxuan Du , Xinbiao Wang , Tian-Ci Tian , Yong Luo , Bo Du , Dacheng Tao , He-Liang Huang

Explicit quantification of uncertainty in engineering simulations is being increasingly used to inform robust and reliable design practices. In the aerospace industry, computationally-feasible analyses for design optimization purposes often…

流体动力学 · 物理学 2019-11-13 Jayant Mukhopadhaya , Brian T. Whitehead , John F. Quindlen , Juan J. Alonso

This study presents a comprehensive framework for uncertainty quantification (UQ) and design optimization of plasma etching in semiconductor manufacturing. The framework is demonstrated using experimental measurements of etched depth…

科普物理 · 物理学 2025-11-10 Yongsu Jung , Minji Kang , Muyoung Kim , Min Sup Choi , Hyeong-U Kim , Jaekwang Kim

Inferring parameter distributions of complex industrial systems from noisy time series data requires methods to deal with the uncertainty of the underlying data and the used simulation model. Bayesian inference is well suited for these…

应用统计 · 统计学 2021-06-18 David N. John , Livia Stohrer , Claudia Schillings , Michael Schick , Vincent Heuveline

This paper considers the surrogate modeling of a complex numerical code in a multifidelity framework when the code output is a time series. Using an experimental design of the low-and high-fidelity code levels, an original Gaussian process…

统计理论 · 数学 2022-02-24 Baptiste Kerleguer

Surrogate models are ubiquitously used in industry and academia to efficiently approximate given black box functions. As state-of-the-art methods from classical machine learning frequently struggle to solve this problem accurately for the…

Temporal surrogate models are effective for predicting chaotic dynamical systems where computational cost can be prohibitive. Several deep neural network architectures can be used for such purposes. In this work, a few commonly used…

机器学习 · 计算机科学 2026-05-26 Rajarshi Biswas