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Related papers: Steel Phase Kinetics Modeling using Symbolic Regre…

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Symbolic regression (SR) aims to find symbolic expressions that describe datasets. Due to its inherent interpretability, is a powerful paradigm for scientific discovery. Recent advances have expanded SR to describe related phenomena using a…

Machine Learning · Computer Science 2026-03-31 Viktor Martinek , Roland Herzog

Symbolic regression is a powerful system identification technique in industrial scenarios where no prior knowledge on model structure is available. Such scenarios often require specific model properties such as interpretability, robustness,…

Predictive modelling represents an emerging field that combines existing and novel methodologies aimed to rapidly understand physical mechanisms and concurrently develop new materials, processes and structures. In the current study,…

Often a number of precipitation processes in steels and alloys occur simultaneously (they have the same origin in time) albeit at different rates. Consequently, isothermic transformations are accompanied, in this case, by the occurrence of…

Prediction models of lattice thermal conductivity have wide applications in the discovery of thermoelectrics, thermal barrier coatings, and thermal management of semiconductors. kL is notoriously difficult to predict. While classic models…

Materials Science · Physics 2021-09-15 Christian Loftis , Kunpeng Yuan , Yong Zhao , Ming Hu , Jianjun Hu

We investigate the potential of numerical algorithms to decipher the kinetic parameters involved in multi-step chemical reactions. To this end we study a dimerization kinetics of protein as a model system. We follow the dimerization…

Biological Physics · Physics 2014-12-24 Srijeeta Talukder , Shrabani Sen , Ralf Metzler , Suman K Banik , Pinaki Chaudhury

In this study, we demonstrate how the incorporation of appropriate feature engineering together with the selection of a Machine Learning (ML) algorithm that best suits the available dataset, leads to the development of a predictive model…

Symbolic regression, the task of predicting the mathematical expression of a function from the observation of its values, is a difficult task which usually involves a two-step procedure: predicting the "skeleton" of the expression up to the…

Machine Learning · Computer Science 2022-04-25 Pierre-Alexandre Kamienny , Stéphane d'Ascoli , Guillaume Lample , François Charton

We introduce a data-driven framework to automatically identify interpretable and physically meaningful hyperelastic constitutive models from sparse data. Leveraging symbolic regression, an algorithm based on genetic programming, our…

Symbolic Computation · Computer Science 2025-01-14 Jixin Hou , Xianyan Chen , Taotao Wu , Ellen Kuhl , Xianqiao Wang

In this paper we consider a simplified two-dimensional scalar model for the formation of mesoscopic domain patterns in martensitic shape-memory alloys at the interface between a region occupied by the parent (austenite) phase and a region…

Mathematical Physics · Physics 2012-09-19 Alessandro Giuliani , Stefan Mueller

A general model is formulated for elasto-plastic materials undergoing linear kinematic hardening to describe microstructure evolution associated with phase transformations. Using infinitesimal strain theory, the model is based on…

Computational Engineering, Finance, and Science · Computer Science 2026-02-20 Sarah Dinkelacker-Steinhoff , Klaus Hackl

In this study, the effect of ferrite grain size on the mechanical properties and dislocation behavior of dual-phase (DP) steel is investigated using dislocation-based crystal plasticity finite element analysis. DP steel, composed of a soft…

Computational Engineering, Finance, and Science · Computer Science 2025-10-20 Misato Suzuki , Mayu Muramatsu , Kazuyuki Shizawa

In this paper a data mining approach for variable selection and knowledge extraction from datasets is presented. The approach is based on unguided symbolic regression (every variable present in the dataset is treated as the target variable…

Neural and Evolutionary Computing · Computer Science 2013-09-24 Michael Kommenda , Gabriel Kronberger , Christoph Feilmayr , Michael Affenzeller

A model of pearlite colony formation in carbon steels with ab-initio parameterization is proposed. The model describes the process of decomposition of austenite and cementite formation through a metastable intermediate structure by taking…

Materials Science · Physics 2017-01-11 I. K. Razumov , Yu. N. Gornostyrev , M. I. Katsnelson

In this paper we present a thermodynamically consistent material model which is capable of modelling ductile-to brittle failure mode transition in ductile material undergoing deformations at high strain rates, and demonstrate the…

Materials Science · Physics 2017-09-19 Ladislav Écsi , Péter Ván , Tamás Fülöp , Balázs Fekete , Pavel Élesztős , Roland Jančo

This paper proposes a multitask learning framework for probabilistic model updating by jointly using strain and acceleration measurements. This framework can enhance the structural damage assessment and response prediction of existing steel…

Applications · Statistics 2024-02-01 Taro Yaoyama , Tatsuya Itoi , Jun Iyama

In the realm of machine and deep learning regression tasks, the role of effective feature engineering (FE) is pivotal in enhancing model performance. Traditional approaches of FE often rely on domain expertise to manually design features…

Machine Learning · Computer Science 2024-06-18 Assaf Shmuel , Oren Glickman , Teddy Lazebnik

This short paper presents the potential of using machine learning to predict materials behaviour in the context of hydrogen interaction with steel. Effort has been made to understand the quality, and amount of data needed to get improved…

Materials Science · Physics 2021-10-22 M. Amir Siddiq

We propose a phase prediction method for the pattern formation in the uniaxial two-dimensional kinetic Ising model with the dipole-dipole interactions under the time-dependent Ginzburg-Landau dynamics. Taking the effects of the material…

Statistical Mechanics · Physics 2021-03-10 Ryoji Anzaki , Shin-ichi Ito , Hiromichi Nagao , Masaichiro Mizumaki , Masato Okada , Ichiro Akai

We describe a method for the identification of models for dynamical systems from observational data. The method is based on the concept of symbolic regression and uses genetic programming to evolve a system of ordinary differential…

Machine Learning · Computer Science 2021-07-14 Gabriel Kronberger , Lukas Kammerer , Michael Kommenda