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In this article, we propose a novel and general dimension-hopping MCMC methodology that can update all the parameters as well as the number of parameters simultaneously using simple deterministic transformations of some low-dimensional…

统计计算 · 统计学 2017-03-16 Moumita Das , Sourabh Bhattacharya

In this article we propose a novel MCMC method based on deterministic transformations T: X x D --> X where X is the state-space and D is some set which may or may not be a subset of X. We refer to our new methodology as Transformation-based…

统计计算 · 统计学 2013-10-21 Somak Dutta , Sourabh Bhattacharya

Employing Bayesian inference to calibrate constitutive model parameters has grown substantially in recent years. Among the available techniques, Markov Chain Monte Carlo (MCMC) sampling remains one of the most widely used approaches for…

计算工程、金融与科学 · 计算机科学 2026-04-02 Aricia Rinkens , Rodrigo L. S. Silva , Erik Quaeghebeur , Nick Jaensson , Clemens Verhoosel

Through the Bayesian lens of data assimilation, uncertainty on model parameters is traditionally quantified through the posterior covariance matrix. However, in modern settings involving high-dimensional and computationally expensive…

统计计算 · 统计学 2023-11-16 Michael Stanley , Mikael Kuusela , Brendan Byrne , Junjie Liu

Materials with spin-crossover (SCO) properties hold great potentials in information storage and therefore have received a lot of concerns in the recent decades. The hysteresis phenomena accompanying SCO is attributed to the intermolecular…

化学物理 · 物理学 2022-10-11 Hong-zhou Ye , Chong Sun , Hong Jiang

Particle Markov Chain Monte Carlo methods are used to carry out inference in non-linear and non-Gaussian state space models, where the posterior density of the states is approximated using particles. Current approaches usually perform…

统计计算 · 统计学 2019-09-30 Eduardo F. Mendes , Christopher K. Carter , David Gunawan , Robert Kohn

This study presents a new strategy for the identification of material parameters in the case of restricted or redundant data, based on a hybrid approach combining a genetic algorithm and the Levenberg-Marquardt method. The proposed…

神经与进化计算 · 计算机科学 2017-07-05 S. Carbillet , V. Guicheret-Retel , F. Trivaudey , F. Richard , M. L. Boubakar

Computational cardiovascular models are promising tools for clinical decision support, particularly in complex conditions, such as intraoperative hypotension (IOH). IOH arises from different mechanisms, making treatment selection…

医学物理 · 物理学 2025-09-19 Jan-Niklas Thiel , Marko Zlicar , Ulrich Steinseifer , Borut Kirn , Michael Neidlin

In this paper, we present a methodology to estimate the parameters of stochastically contaminated models under two contamination regimes. In both regimes, we assume that the original process is a variable length Markov chain that is…

统计方法学 · 统计学 2017-02-23 Denise Duarte , Sokol Ndreca , Wecsley O. Prates

The class of $\alpha$-stable distributions enjoys multiple practical applications in signal processing, finance, biology and other areas because it allows to describe interesting and complex data patterns, such as asymmetry or heavy tails,…

统计方法学 · 统计学 2016-06-03 Eugenia Koblents , Joaquin Miguez , Marco A. Rodriguez , Alexandra M. Schmidt

Markov Chain Monte Carlo (MCMC) methods are employed to sample from a given distribution of interest, whenever either the distribution does not exist in closed form, or, if it does, no efficient method to simulate an independent sample from…

统计计算 · 统计学 2008-07-22 Ioana A. Cosma , Masoud Asgharian

Models of biological systems often have many unknown parameters that must be determined in order for model behavior to match experimental observations. Commonly-used methods for parameter estimation that return point estimates of the…

定量方法 · 定量生物学 2018-01-31 Sanjana Gupta , Liam Hainsworth , Justin S. Hogg , Robin E. C. Lee , James R. Faeder

We consider the problem of estimating a temperature-dependent thermal conductivity model (curve) from temperature measurements. We apply a Bayesian estimation approach that takes into account measurement errors and limited prior information…

计算工程、金融与科学 · 计算机科学 2024-03-21 Rodrigo L. S. Silva , Clemens Verhoosel , Erik Quaeghebeur

A novel approach of accurately reconstructing storage ring's linear optics from turn-by-turn (TbT) data containing measurement error is introduced. This approach adopts a Bayesian inference based on the Markov Chain Monte-Carlo (MCMC)…

加速器物理 · 物理学 2019-07-01 Yue Hao , Yongjun Li , Michael Balcewicz , Leo Neufcourt , Weixing Cheng

In this study, the Virtual Fields Method (VFM) is applied to identify constitutive parameters of hyperelastic models from a heterogeneous test. Digital image correlation (DIC) was used to estimate the displacement and strain fields required…

经典物理 · 物理学 2019-07-08 A Tayeb , Jean-Benoit Le Cam , M. Grédiac , E. Toussaint , F. Canevet , E. Robin , X. Balandraud

A goal of systems biology is to understand the dynamics of intracellular systems. Stochastic chemical kinetic models are often utilized to accurately capture the stochastic nature of these systems due to low numbers of molecules. Collecting…

统计计算 · 统计学 2015-03-17 Jarad Niemi , Matthew Wheeler

Switching state-space models (SSSM) are a very popular class of time series models that have found many applications in statistics, econometrics and advanced signal processing. Bayesian inference for these models typically relies on Markov…

统计计算 · 统计学 2010-11-11 Nick Whiteley , Christophe Andrieu , Arnaud Doucet

This paper introduces a Bayesian framework that combines Markov chain Monte Carlo (MCMC) sampling, dimensionality reduction, and neural density estimation to efficiently handle inverse problems that (i) must be solved multiple times, and…

计算工程、金融与科学 · 计算机科学 2026-02-24 Giacomo Bottacini , Matteo Torzoni , Andrea Manzoni

A special aspect of parameter identification in finite-strain elasto-plasticity is considered. Namely, we analyze the impact of the measurement errors on the resulting set of material parameters. In order to define the sensitivity of…

应用统计 · 统计学 2021-03-15 A. V. Shutov , A. A. Kaygorodtseva

Particle Markov Chain Monte Carlo (PMCMC) is a general computational approach to Bayesian inference for general state space models. Our article scales up PMCMC in terms of the number of observations and parameters by generating the…

统计方法学 · 统计学 2023-07-04 David Gunawan , Chris Carter , Robert Kohn