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Many promising approaches to symbolic regression have been presented in recent years, yet progress in the field continues to suffer from a lack of uniform, robust, and transparent benchmarking standards. In this paper, we address this…

Neural and Evolutionary Computing · Computer Science 2021-08-02 William La Cava , Patryk Orzechowski , Bogdan Burlacu , Fabrício Olivetti de França , Marco Virgolin , Ying Jin , Michael Kommenda , Jason H. Moore

As machine learning algorithms become increasingly sophisticated to exploit subtle features of the data, they often become more dependent on simulations. This paper presents a new approach called weakly supervised classification in which…

High Energy Physics - Phenomenology · Physics 2017-07-04 Lucio Mwinmaarong Dery , Benjamin Nachman , Francesco Rubbo , Ariel Schwartzman

Symbolic Regression (SR) is a machine learning approach that explores the space of mathematical expressions to identify those that best fit a given dataset, balancing both accuracy and simplicity. We apply SR to the study of Gray-Body…

Cosmology and Nongalactic Astrophysics · Physics 2025-09-15 Guan-Wen Yuan , Marco Calzà , Davide Pedrotti

Symbolic regression aims to discover human-interpretable equations that explain observational data. However, existing approaches rely heavily on discrete structure search (e.g., genetic programming), which often leads to high computational…

Machine Learning · Computer Science 2026-03-25 Fateme Memar , Tao Zhe , Dongjie Wang

In Compressed Sensing, a real-valued sparse vector has to be estimated from an underdetermined system of linear equations. In many applications, however, the elements of the sparse vector are drawn from a finite set. For the estimation of…

Information Theory · Computer Science 2016-08-24 Susanne Sparrer , Robert F. H. Fischer

When the elastic properties of structured materials become direction-dependent, the number of their descriptors increases. For example, in two-dimensions, the anisotropic behavior of materials is described by up to 6 independent elastic…

Materials Science · Physics 2023-12-14 Jagannadh Boddapati , Moritz Flaschel , Siddhant Kumar , Laura De Lorenzis , Chiara Daraio

Materials discovery is a computationally intensive process that requires exploring vast chemical spaces to identify promising candidates with desirable properties. In this work, we propose using quantum-enhanced machine learning algorithms…

Estimation of a conditional mean (linking a set of features to an outcome of interest) is a fundamental statistical task. While there is an appeal to flexible nonparametric procedures, effective estimation in many classical nonparametric…

Methodology · Statistics 2022-06-08 Tianyu Zhang , Noah Simon

We introduce a novel machine learning computational framework that aims to compute the material toughness, after subjected to a short training process on a limited meso-scale experimental dataset. The three part computational framework…

Materials Science · Physics 2021-08-31 Stylianos Tsopanidis , Shmuel Osovski

Laser cutting is a widely adopted technology in material processing across various industries, but it generates a significant amount of dust, smoke, and aerosols during operation, posing a risk to both the environment and workers' health.…

Computer Vision and Pattern Recognition · Computer Science 2025-11-21 Mohamed Abdallah Salem , Hamdy Ahmed Ashur , Ahmed Elshinnawy

Explainability is a longstanding challenge in deep learning, especially in high-stakes domains like healthcare. Common explainability methods highlight image regions that drive an AI model's decision. Humans, however, heavily rely on…

Artificial Intelligence · Computer Science 2023-11-21 Shobhit Agarwal , Yevgeniy R. Semenov , William Lotter

In order to make accurate predictions of material properties, current machine-learning approaches generally require large amounts of data, which are often not available in practice. In this work, an all-round framework is presented which…

Materials Science · Physics 2021-07-09 Pierre-Paul De Breuck , Geoffroy Hautier , Gian-Marco Rignanese

In condensed matter physics and materials science, predicting material properties necessitates understanding intricate many-body interactions. Conventional methods such as density functional theory (DFT) and molecular dynamics (MD) often…

Materials Science · Physics 2023-11-17 Lalit Yadav

This paper studies the sparse identification problem of unknown sparse parameter vectors in stochastic dynamic systems. Firstly, a novel sparse identification algorithm is proposed, which can generate sparse estimates based on least squares…

Optimization and Control · Mathematics 2024-04-02 Ziming Wang , Xinghua Zhu

A fundamental challenge in materials science pertains to elucidating the relationship between stoichiometry, stability, structure, and property. Recent advances have shown that machine learning can be used to learn such relationships,…

Materials Science · Physics 2022-03-17 Rhys E. A. Goodall , Abhijith S. Parackal , Felix A. Faber , Rickard Armiento , Alpha A. Lee

Picking cluttered general objects is a challenging task due to the complex geometries and various stacking configurations. Many prior works utilize pose estimation for picking, but pose estimation is difficult on cluttered objects. In this…

Robotics · Computer Science 2023-04-21 Hoang-Giang Cao , Weihao Zeng , I-Chen Wu

Discovering governing equations from observational data remains a fundamental challenge in scientific modeling, particularly when the underlying mathematical structure is unknown. Traditional sparse identification methods like SINDy excel…

Machine Learning · Computer Science 2026-05-12 Mohammad Amin Basiri , Charles Nicholson

Feature selection has been proven a powerful preprocessing step for high-dimensional data analysis. However, most state-of-the-art methods tend to overlook the structural correlation information between pairwise samples, which may…

Machine Learning · Computer Science 2019-07-02 Lu Bai , Lixin Cui , Yue Wang , Philip S. Yu , Edwin R. Hancock

Statistical methods for identifying harmful chemicals in a correlated mixture often assume linearity in exposure-response relationships. Non-monotonic relationships are increasingly recognised (e.g., for endocrine-disrupting chemicals);…

Applications · Statistics 2020-11-11 Nina Lazarevic , Luke D. Knibbs , Peter D. Sly , Adrian G. Barnett

Modification of physical properties of materials and design of materials with on-demand characteristics is at the heart of modern technology. Rare application relies on pure materials--most devices and technologies require careful design of…

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