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Interpretable AI can reveal physical principles governing intricate materials properties by uncovering explicit relationships between physical parameters and target properties. The sure-independence screening and sparsifying operator…

Materials Science · Physics 2026-04-10 Lucas Foppa , Matthias Scheffler

The lack of reliable methods for identifying descriptors - the sets of parameters capturing the underlying mechanisms of a materials property - is one of the key factors hindering efficient materials development. Here, we propose a…

Materials Science · Physics 2018-08-15 Runhai Ouyang , Stefano Curtarolo , Emre Ahmetcik , Matthias Scheffler , Luca M. Ghiringhelli

The efficiency of active learning (AL) approaches to identify materials with desired properties relies on the knowledge of a few parameters describing the property. However, these parameters are unknown if the property is governed by a high…

Materials Science · Physics 2024-12-10 Akhil S. Nair , Lucas Foppa , Matthias Scheffler

The identification of descriptors of materials properties and functions that capture the underlying physical mechanisms is a critical goal in data-driven materials science. Only such descriptors will enable a trustful and efficient scanning…

Symbolic regression identifies key physical parameters describing materials properties by uncovering correlations as nonlinear analytical expressions. However, the pool of expressions grows rapidly with complexity, compromising its…

Symbolic-inference methods have recently found a broad application in materials science. In particular, the Sure-Independence Screening and Sparsifying Operator (SISSO) performs symbolic regression and classification by adopting compressed…

Materials Science · Physics 2024-03-26 Aliaksei Mazheika , Sergey V. Levchenko , Luca M. Ghiringhelli

Accurate and explainable artificial-intelligence (AI) models are promising tools for the acceleration of the discovery of new materials, ore new applications for existing materials. Recently, symbolic regression has become an increasingly…

Data Analysis, Statistics and Probability · Physics 2023-05-03 Thomas A. R. Purcell , Matthias Scheffler , Luca M. Ghiringhelli

In materials science, data-driven methods accelerate material discovery and optimization while reducing costs and improving success rates. Symbolic regression is a key to extracting material descriptors from large datasets, in particular…

Machine Learning · Computer Science 2024-10-01 Xiaolin Jiang , Guanqi Liu , Jiaying Xie , Zhenpeng Hu

We introduce a composition-weighted symbolic regression framework for interpretable prediction of materials properties directly from chemical composition. The method jointly learns analytical functional forms and task-dependent elemental…

Materials Science · Physics 2026-05-05 Yang Huang , Jingrun Chen

Symbolic regression (SR) is a powerful machine learning approach that searches for both the structure and parameters of algebraic models, offering interpretable and compact representations of complex data. Unlike traditional regression…

Machine Learning · Computer Science 2024-12-11 Madhav Muthyala , Farshud Sorourifar , Joel A. Paulson

The mechanical properties are essential for structural materials. The analyzed 360 data on four mechanical properties of steels, viz. fatigue strength, tensile strength, fracture strength, and hardness, are selected from the NIMS database,…

Applied Physics · Physics 2021-01-05 Jie Xiong , Tong-Yi Zhang , San-Qiang Shi

Superhard materials with good fracture toughness have found wide industrial applications, which necessitates the development of accurate hardness and fracture toughness models for efficient materials design. Although several macroscopic…

Materials Science · Physics 2023-08-07 Jinbin Zhao , Peitao Liu , Jiantao Wang , Jiangxu Li , Haiyang Niu , Yan Sun , Junlin Li , Xing-Qiu Chen

The Mullins effect represents a softening phenomenon observed in rubber-like materials and soft biological tissues. It is usually accompanied by many other inelastic effects like for example residual strain and induced anisotropy. In spite…

Computational Engineering, Finance, and Science · Computer Science 2024-03-12 Rasul Abdusalamov , Jendrik Weise , Mikhail Itskov

The availability of big data in materials science offers new routes for analyzing materials properties and functions and achieving scientific understanding. Finding structure in these data that is not directly visible by standard tools and…

Most machine learning models for materials science rely on descriptors based on materials compositions and structures, even though the chemical bond has been proven to be a valuable concept for predicting materials properties. Over the…

Machine learning models have become firmly established across all scientific fields. Extracting features from data and making inferences based on them with neural network models often yields high accuracy; however, this approach has several…

Machine Learning · Computer Science 2026-01-13 Mikhail Lazarev , Andrey Ustyuzhanin

The high-throughput screening of periodic inorganic solids using machine learning methods requires atomic positions to encode structural and compositional details into appropriate material descriptors. These atomic positions are not…

Materials Science · Physics 2018-12-26 Ankit Jain , Thomas Bligaard

Symbolic Regression is the study of algorithms that automate the search for analytic expressions that fit data. While recent advances in deep learning have generated renewed interest in such approaches, the development of symbolic…

Instrumentation and Methods for Astrophysics · Physics 2023-12-27 Wassim Tenachi , Rodrigo Ibata , Foivos I. Diakogiannis

A main goal of data-driven materials research is to find optimal low-dimensional descriptors, allowing us to predict a physical property, and to interpret them in a human-understandable way. In this work, we advance methods to identify…

Materials Science · Physics 2022-12-14 Benedikt Hoock , Santiago Rigamonti , Claudia Draxl

Superhard materials are critical for wear-resistant and high-stress applications. Conventional approaches correlating hardness with elastic moduli derived from DFT calculations enable rapid screening but overlook the strong load dependence…

Materials Science · Physics 2026-04-23 Madhubanti Mukherjee , Rampi Ramprasad , Harikrishna Sahu
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