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This paper proposes a new approach for the calibration of material parameters in local elastoplastic constitutive models. The calibration is posed as a constrained optimization problem, where the constitutive model evolution equations for a…

Computational Engineering, Finance, and Science · Computer Science 2025-05-09 Ryan Yan , D. Thomas Seidl , Reese E. Jones , Panayiotis Papadopoulos

This article aims to demonstrate and discuss the applications of automatic differentiation (AD) for finding derivatives in PDE-constrained optimization problems and Jacobians in non-linear finite element analysis. The main idea is to…

Numerical Analysis · Mathematics 2025-06-03 Julian Andrej , Tzanio Kolev , Boyan Lazarov

The calibration of CALPHAD (CALculation of PHAse Diagrams) models involves the solution of a very challenging high-dimensional multiobjective optimization problem. Traditional approaches to parameter fitting predominantly rely on…

Materials Science · Physics 2025-05-06 Courtney Kunselman , Brandon Bocklund , Richard Otis , Raymundo Arroyave

In the present study, a numerical method based on a metaheuristic parametric algorithm has been developed to identify the constitutive parameters of hyperelastic models, by using FE simulations and full kinematic field measurements. The…

Classical Physics · Physics 2019-07-08 G Bastos , A Tayeb , N. Di Cesare , Jean-Benoit Le Cam , E Robin

Modelers use automatic differentiation (AD) of computation graphs to implement complex Deep Learning models without defining gradient computations. Stochastic AD extends AD to stochastic computation graphs with sampling steps, which arise…

Machine Learning · Statistics 2021-10-27 Emile van Krieken , Jakub M. Tomczak , Annette ten Teije

Recently proposed gradient estimators enable gradient descent over stochastic programs with discrete jumps in the response surface, which are not covered by automatic differentiation (AD) alone. Although these estimators' capability to…

Machine Learning · Computer Science 2024-04-09 Philipp Andelfinger , Justin N. Kreikemeyer

A large class of non-smooth practical optimization problems can be written as minimization of a sum of smooth and partly smooth functions. We examine such structured problems which also depend on a parameter vector and study the problem of…

Optimization and Control · Mathematics 2024-10-28 Sheheryar Mehmood , Peter Ochs

We study two practically important cases of model based clustering using Gaussian Mixture Models: (1) when there is misspecification and (2) on high dimensional data, in the light of recent advances in Gradient Descent (GD) based…

Machine Learning · Statistics 2020-07-28 Siva Rajesh Kasa , Vaibhav Rajan

The extraction of the model parameters is as important as the development of compact model itself because simulation accuracy is fully determined by the accuracy of the parameters used. This study proposes an efficient model-parameter…

Systems and Control · Electrical Eng. & Systems 2021-10-29 Michihiro Shintani , Aoi Ueda , Takashi Sato

The calibration of solid constitutive models with full-field experimental data is a long-standing challenge, especially in materials which undergo large deformation. In this paper, we propose a physics-informed deep-learning framework for…

Machine Learning · Computer Science 2022-04-01 Craig M. Hamel , Kevin N. Long , Sharlotte L. B. Kramer

Model calibration usually requires optimizing some parameters (e.g., temperature) w.r.t an objective function (e.g., negative log-likelihood). In this paper, we report a plain, important but often neglected fact that the objective function…

Machine Learning · Computer Science 2023-03-10 Yuli Zou , Weijian Deng , Liang Zheng

Simulation-based optimization using agent-based models is typically carried out under the assumption that the gradient describing the sensitivity of the simulation output to the input cannot be evaluated directly. To still apply…

Machine Learning · Computer Science 2021-03-24 Philipp Andelfinger

The paper focuses on the calibration of elastostatic parameters of spatial anthropomorphic robots. It proposes a new strategy for optimal selection of the measurement configurations that essentially increases the efficiency of robot…

Robotics · Computer Science 2012-11-27 Alexandr Klimchik , Yier Wu , Anatol Pashkevich , Stéphane Caro , Benoît Furet

The paper is devoted to the elastostatic calibration of industrial robots, which is used for precise machining of large-dimensional parts made of composite materials. In this technological process, the interaction between the robot and the…

Robotics · Computer Science 2012-11-28 Alexandr Klimchik , Anatol Pashkevich , Yier Wu , Stéphane Caro , Benoît Furet

Agent-based models (ABMs) simulate complex systems by capturing the bottom-up interactions of individual agents comprising the system. Many complex systems of interest, such as epidemics or financial markets, involve thousands or even…

Inferring the mechanical properties of soft tissues from measured deformations is a fundamental challenge in elastography. A rarely examined assumption underlying existing approaches is that the assumed constitutive law correctly describes…

Machine Learning · Statistics 2026-04-15 Vincent C. Scholz , P. S. Koutsourelakis

Accurate material characterization and model calibration are essential for computationally-supported engineering decisions. Current characterization and calibration methods (1) use simplified test specimen geometries and global data, (2)…

Computational Engineering, Finance, and Science · Computer Science 2025-07-03 Denielle Ricciardi , D. Tom Seidl , Brian Lester , Amanda Jones , Elizabeth Jones

Constitutive modeling lies at the core of mechanics, allowing us to map strains onto stresses for a material in a given mechanical setting. Historically, researchers relied on phenomenological modeling where simple mathematical…

Computational Engineering, Finance, and Science · Computer Science 2024-08-28 Asghar A. Jadoon , Knut A. Meyer , Jan N. Fuhg

Calibration is a vital step in the development of rigorous digital models of diverse physical and chemical processes, yet one which is highly time- and labour-intensive. In this paper, we introduce a novel tool, Autonomous Calibration and…

Bayesian experimental design (BED) offers a principled framework for optimizing data acquisition by leveraging probabilistic inference. However, practical implementations of BED are often compromised by model discrepancy, i.e., the mismatch…

Machine Learning · Computer Science 2025-11-25 Huchen Yang , Xinghao Dong , Jin-Long Wu
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