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This paper introduces a statistical treatment of inverse problems constrained by models with stochastic terms. The solution of the forward problem is given by a distribution represented numerically by an ensemble of simulations. The goal is…

最优化与控制 · 数学 2019-04-17 Emil M. Constantinescu , Noemi Petra , Julie Bessac , Cosmin G. Petra

The development of spintronic devices demands the existence of materials with some kind of spin splitting (SS). In this Data Descriptor, we build a database of ab initio calculated SS in 2D materials. More than that, we propose a workflow…

Inverse protein folding -- the task of predicting a protein sequence from its backbone atom coordinates -- has surfaced as an important problem in the "top down", de novo design of proteins. Contemporary approaches have cast this problem as…

In this paper we study the inverse problem of determining the residual stress in Man's model using tomographic data. Theoretically, the tomographic data is obtained at zero approximation of geometrical optics for Man's residual stress…

偏微分方程分析 · 数学 2015-05-30 Vladimir Sharafutdinov , Jenn-Nan Wang

We consider the in-plane motion of elastic strings on tree-like network, observed from the 'leaves'. We investigate the inverse problem of recovering not only the physical properties i.e. the 'optical lengths' of each string, but also the…

偏微分方程分析 · 数学 2025-05-29 S. A. Avdonin , G. Leugering , V. S. Mikhaylov

We present a physical model for turbulent friction on rough surfaces with regularly distributed roughness elements. Wall shear stresses are expressed as functions of physical quantities. Surfaces with varying roughness densities and…

流体动力学 · 物理学 2016-10-24 Zhuoqun Li , Xiaojing Zheng

In indirect measurements, the measurand is determined by solving an inverse problem which requires a model of the measurement process. Such models are often approximations and introduce systematic errors leading to a bias of the posterior…

统计方法学 · 统计学 2025-09-22 Maren Casfor , Philipp Trunschke , Sebastian Heidenreich , Nando Hegemann

Traction force microscopy is a method widely used in biophysics and cell biology to determine forces that biological cells apply to their environment. In the experiment, the cells adhere to a soft elastic substrate, which is then deformed…

Coefficient inverse problems related to identifying the right-hand side of an equation with use of additional information is of interest among inverse problems for partial differential equations. When considering non-stationary problems,…

数值分析 · 计算机科学 2016-04-18 Petr N. Vabishchevich

Approximate Bayesian inference on the basis of summary statistics is well-suited to complex problems for which the likelihood is either mathematically or computationally intractable. However the methods that use rejection suffer from the…

统计计算 · 统计学 2010-05-04 M. G. B. Blum , O. Francois

The Bayesian approach has proved to be a coherent approach to handle ill posed Inverse problems. However, the Bayesian calculations need either an optimization or an integral calculation. The maximum a posteriori (MAP) estimation requires…

数据分析、统计与概率 · 物理学 2007-05-23 A. Mohammad-Djafari

We consider a weak adversarial network approach to numerically solve a class of inverse problems, including electrical impedance tomography and dynamic electrical impedance tomography problems. We leverage the weak formulation of PDE in the…

数值分析 · 数学 2020-12-02 Gang Bao , Xiaojing Ye , Yaohua Zang , Haomin Zhou

We present a mathematical description of amorphous solid deformation and plasticity by extending the concept of instantaneous normal modes (INMs) to deformed systems, which allows us to retain the effect of strain on the vibrational density…

软凝聚态物质 · 物理学 2022-06-02 Ivan Kriuchevksyi , Tim Sirk , Alessio Zaccone

We consider optimal sensor placement for hyper-parameterized linear Bayesian inverse problems, where the hyper-parameter characterizes nonlinear flexibilities in the forward model, and is considered for a range of possible values. This…

数值分析 · 数学 2020-11-24 Nicole Aretz-Nellesen , Peng Chen , Martin A. Grepl , Karen Veroy

The inverse problem which consists of determining the flow at the Earth's Core Mantle Boundary according to an outer core magnetic field and secular variation model, has been investigated through a Bayesian formalism. To circumvent the…

地球物理 · 物理学 2015-06-17 Julien Baerenzung , Matthias Holschneider , Vincent Lesur

The load-area relation of rough surfaces is of great interest in tribology. For elastic-plastic solids with strain hardening, an incremental model is adopted to analyze the contact of rough surfaces, in which the contact is modeled by…

软凝聚态物质 · 物理学 2022-12-28 Yue Ding , Xuan-Ming Liang , Gang-Feng Wang

We present a framework to take new measurements in nematic systems that contain active elements such as molecular motors. Spatio-temporal fields of stress, traction, velocity, pressure, and forces are estimated jointly from microscopy…

软凝聚态物质 · 物理学 2024-12-02 Aleix Boquet-Pujadas , Jérôme Hardouïn , Junhao Wen , Jordi Ignés-Mullol , Francesc Sagués

This study addresses the question of the quantitative reconstruction of heterogeneous distributions of isotropic elastic moduli from full strain field data. This parameter identification problem exposes the need for a local reconstruction…

偏微分方程分析 · 数学 2018-12-10 Cedric Bellis

This paper concerns an inverse elastic scattering problem which is to determine the location and the shape of a rigid obstacle from the phased or phaseless far-field data for a single incident plane wave. By introducing the Helmholtz…

偏微分方程分析 · 数学 2018-12-03 Heping Dong , Jun Lai , Peijun Li

A crucially important material parameter for all amorphous solids is the yield stress, which is the value of the stress for which the material yields to plastic flow when it is strained quasi-statically at zero temperature. It is difficult…

计算物理 · 物理学 2010-11-16 Smarajit Karmakar , Edan Lerner , Itamar Procaccia , Jacques Zylberg