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Density based representations of atomic environments that are invariant under Euclidean symmetries have become a widely used tool in the machine learning of interatomic potentials, broader data-driven atomistic modelling and the…

The working mechanisms of complex natural systems tend to abide by concise and profound partial differential equations (PDEs). Methods that directly mine equations from data are called PDE discovery, which reveals consistent physical laws…

Machine Learning · Computer Science 2023-03-17 Mengge Du , Yuntian Chen , Dongxiao Zhang

Accurately modeling the friction torque in robotic joints has long been challenging due to the request for a robust mathematical description. Traditional model-based approaches are often labor-intensive, requiring extensive experiments and…

Material extrusion is one of the most commonly used approaches within the additive manufacturing processes available. Despite its popularity and related technical advancements, process reliability and quality assurance remain only partially…

Machine Learning · Computer Science 2024-06-21 Fátima García-Martínez , Diego Carou , Francisco de Arriba-Pérez , Silvia García-Méndez

The heterogeneous micromechanical properties of biological tissues have profound implications across diverse medical and engineering domains. However, identifying full-field heterogeneous elastic properties of soft materials using…

Numerical Analysis · Mathematics 2025-07-09 Wensi Wu , Mitchell Daneker , Kevin T. Turner , Matthew A. Jolley , Lu Lu

Recently supervised machine learning has been ascending in providing new predictive approaches for chemical, biological and materials sciences applications. In this Perspective we focus on the interplay of machine learning algorithm with…

Predicting the strength of materials requires considering various length and time scales, striking a balance between accuracy and efficiency. Peierls stress measures material strength by evaluating dislocation resistance to plastic flow,…

Materials Science · Physics 2025-01-28 Yingjie Zhao , Hongbo Zhou , Zian Zhang , Zhenxing Bo , Baoan Sun , Minqiang Jiang , Zhiping Xu

Tactile sensing or fabric hand plays a critical role in an individual's decision to buy a certain fabric from the range of available fabrics for a desired application. Therefore, textile and clothing manufacturers have long been in search…

Image and Video Processing · Electrical Eng. & Systems 2020-03-18 Yuting Hu , Zhiling Long , Anirudha Sundaresan , Motaz Alfarraj , Ghassan AlRegib , Sungmee Park , Sundaresan Jayaraman

Penalized regression models such as the Lasso have proved useful for variable selection in many fields - especially for situations with high-dimensional data where the numbers of predictors far exceeds the number of observations. These…

Methodology · Statistics 2014-03-19 Kasper Brink-Jensen , Claus Thorn Ekstrøm

Process-structure-property relationships are fundamental in materials science and engineering and are key to the development of new and improved materials. Symbolic regression serves as a powerful tool for uncovering mathematical models…

Materials Science · Physics 2025-11-12 Evgeniya Kabliman , Gabriel Kronberger

Quantum coherence and entanglement are fundamental resources in quantum technologies, yet their efficient estimation for unknown states by employing minimal resources in experimental settings remains challenging, particularly in…

Quantum Physics · Physics 2026-01-12 Ting Lin , Zhihua Chen , Kai Wu , Zhihua Guo , Zhihao Ma , Shao-Ming Fei

Shallow nanoindentation enables mechanical characterization of thin films, individual phases and other volume-constrained materials, but measured hardness is often inflated by the indentation size effect (ISE), contact-area errors and…

Materials Science · Physics 2026-05-01 Radmir Karamov , Tagir Karamov

The advent of Scientific Machine Learning has heralded a transformative era in scientific discovery, driving progress across diverse domains. Central to this progress is uncovering scientific laws from experimental data through symbolic…

Methodology · Statistics 2025-09-25 Somjit Roy , Pritam Dey , Debdeep Pati , Bani K. Mallick

Sparse regression and feature extraction are the cornerstones of knowledge discovery from massive data. Their goal is to discover interpretable and predictive models that provide simple relationships among scientific variables. While the…

Machine Learning · Computer Science 2024-01-17 Jeremy A. McCulloch , Skyler R. St. Pierre , Kevin Linka , Ellen Kuhl

Solutions of symbolic regression problems are expressions that are composed of input variables and operators from a finite set of function symbols. One measure for evaluating symbolic regression algorithms is their ability to recover…

Machine Learning · Computer Science 2025-06-25 Paul Kahlmeyer , Markus Fischer , Joachim Giesen

Fractured metal fragments with rough and irregular surfaces are often found at crime scenes. Current forensic practice visually inspects the complex jagged trajectory of fractured surfaces to recognize a ``match'' using comparative…

Monocular 3D object detection typically relies on pseudo-labeling techniques to reduce dependency on real-world annotations. Recent advances demonstrate that deterministic linguistic cues can serve as effective auxiliary weak supervision…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Chupeng Liu , Jiyong Rao , Shangquan Sun , Runkai Zhao , Weidong Cai

Identifying important components or factors in large amounts of noisy data is a key problem in machine learning and data mining. Motivated by a pattern decomposition problem in materials discovery, aimed at discovering new materials for…

Artificial Intelligence · Computer Science 2014-12-01 Stefano Ermon , Ronan Le Bras , Santosh K. Suram , John M. Gregoire , Carla Gomes , Bart Selman , Robert B. van Dover

Symbolic regression is a machine learning technique that can learn the governing formulas of data and thus has the potential to transform scientific discovery. However, symbolic regression is still limited in the complexity and…

Machine Learning · Computer Science 2023-05-30 Michael Zhang , Samuel Kim , Peter Y. Lu , Marin Soljačić

We apply an artificial neural network to model and verify material properties. The neural network algorithm has a unique capability to handle incomplete data sets in both training and predicting, so it can regard properties as inputs…

Computational Physics · Physics 2018-03-02 P. C. Verpoort , P. MacDonald , G. J. Conduit