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The response of a vibrating beam to a force depends on many physical parameters including those determined by material properties. Damage caused by fatigue or cracks result in local reductions in stiffness parameters and may drastically…

数值分析 · 数学 2015-05-20 Troy Butler , Antti Huhtala , Mika Juntunen

In this paper, we study the preferential stiffness and the crack-tip fields for an elastic porous solid of which material properties are dependent upon the density. Such a description is necessary to describe the failure that can be caused…

数值分析 · 数学 2022-12-19 Hyun C. Yoon , S. M. Mallikarjunaiah , Dambaru Bhatta

Model stealing aims at inferring a victim model's functionality at a fraction of the original training cost. While the goal is clear, in practice the model's architecture, weight dimension, and original training data can not be determined…

机器学习 · 计算机科学 2023-08-21 David Pape , Sina Däubener , Thorsten Eisenhofer , Antonio Emanuele Cinà , Lea Schönherr

We introduce several methods for assessing sensitivity to unmeasured confounding in marginal structural models; importantly we allow treatments to be discrete or continuous, static or time-varying. We consider three sensitivity models: a…

统计方法学 · 统计学 2022-10-12 Matteo Bonvini , Edward Kennedy , Valerie Ventura , Larry Wasserman

Probabilistic model-based diagnosis computes the posterior probabilities of failure of components from the prior probabilities of component failure and observations of system behavior. One problem with this method is that such priors are…

人工智能 · 计算机科学 2013-02-21 Sampath Srinivas

We study mathematical and computational models for computing the deformation of fiber-reinforced cross-plied laminates due to external forces. This requires an understanding of both micro-structural effects and different sources of…

数值分析 · 数学 2016-04-20 Ivo Babuska , Mohammad Motamed

Multiscale techniques have been widely shown to potentially overcome the limitation of homogenization schemes in representing the microscopic failure mechanisms in heterogeneous media as well as their influence on their structural response…

数值分析 · 数学 2021-08-10 Fabrizio Greco , Lorenzo Leonetti , Paolo Lonetti , Raimondo Luciano , Andrea Pranno

The practice of uncertainty quantification (UQ) validation, notably in machine learning for the physico-chemical sciences, rests on several graphical methods (scattering plots, calibration curves, reliability diagrams and confidence curves)…

化学物理 · 物理学 2023-03-31 Pascal Pernot

Statistical estimation of the prediction uncertainty of physical models is typically hindered by the inadequacy of these models due to various approximations they are built upon. The prediction errors due to model inadequacy can be handled…

数据分析、统计与概率 · 物理学 2017-09-11 Pascal Pernot

Modern autonomous systems with machine learning components often use uncertainty quantification to help produce assurances about system operation. However, there is a lack of consensus in the community on what uncertainty is and how to…

系统与控制 · 电气工程与系统科学 2026-01-27 Sampada Deglurkar , Haotian Shen , Anish Muthali , Marco Pavone , Dragos Margineantu , Peter Karkus , Boris Ivanovic , Claire J. Tomlin

It is a market practice to express market-implied volatilities in some parametric form. The most popular parametrizations are based on or inspired by an underlying stochastic model, like the Heston model (SVI method) or the SABR model (SABR…

数理金融 · 定量金融 2026-01-06 Nicola F. Zaugg , Leonardo Perotti , Lech A. Grzelak

Heterogeneous materials exhibit anisotropy which is influenced by factors such as individual phase properties and microstructural configuration that form crucial descriptors of heterogeneity. A review of anisotropy indices proposed in the…

材料科学 · 物理学 2025-04-15 Abhilash M Nagaraja

The use of high-dimensional regression techniques from machine learning has significantly improved the quantitative accuracy of interatomic potentials. Atomic simulations can now plausibly target quantitative predictions in a variety of…

材料科学 · 物理学 2025-03-04 Danny Perez , Aparna P. A. Subramanyam , Ivan Maliyov , Thomas D. Swinburne

The hardness of materials plays an important role in material design. There are numerous experimental methods to measure the hardness of materials, but theoretical prediction of hardness is challenging. By investigating the correlation…

材料科学 · 物理学 2024-12-24 Faridun N. Jalolov , Alexander G. Kvashnin

Quantum metrology uses small changes in the output probabilities of a quantum measurement to estimate the magnitude of a weak interaction with the system. The sensitivity of this procedure depends on the relation between the input state,…

量子物理 · 物理学 2011-03-02 Holger F. Hofmann

The mechanical properties and long-term structural reliability of crystalline materials are strongly influenced by microstructural features such as grain size, morphology, and crystallographic texture. These characteristics not only…

Constitutive model discovery refers to the task of identifying an appropriate model structure, usually from a predefined model library, while simultaneously inferring its material parameters. The data used for model discovery are measured…

机器学习 · 计算机科学 2026-01-27 David Anton , Henning Wessels , Ulrich Römer , Alexander Henkes , Jorge-Humberto Urrea-Quintero

Internal porosity remains a critical defect mode in additively manufactured components, compromising structural performance and limiting industrial adoption. Automated defect detection methods exist but lack interpretability, preventing…

计算机视觉与模式识别 · 计算机科学 2026-02-05 Akshansh Mishra , Rakesh Morisetty

Additive manufacturing (AM) of metallic components promises many advantages over conventional manufacturing processes through high design flexibility across multiple length scales and precision coupled with an astonishing combination of…

Introducing accelerated reconstruction algorithms into clinical settings requires measures of uncertainty quantification that accurately assess the relevant uncertainty introduced by the reconstruction algorithm. Many currently deployed…

图像与视频处理 · 电气工程与系统科学 2025-08-12 Luca L. C. Trautmann , Peter A. Wijeratne , Itamar Ronen , Ivor J. A. Simpson