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Recently, machine-learning methods have been shown to be successful in identifying and classifying different phases of the square-lattice Ising model. We study the performance and limits of classification and regression models. In…

Disordered Systems and Neural Networks · Physics 2022-04-01 Burak Çivitcioğlu , Rudolf A. Römer , Andreas Honecker

The modeling of realistic magnetic materials requires the inclusion of defects. Based on the pseudospectral Landau-Lifshitz description of magnetisation dynamics, we propose a statistical model that takes into account defects, specifically…

Mesoscale and Nanoscale Physics · Physics 2026-03-12 C. Eagan , M. Copus , E. Iacocca

We present a probabilistic deep learning methodology that enables the construction of predictive data-driven surrogates for stochastic systems. Leveraging recent advances in variational inference with implicit distributions, we put forth a…

Machine Learning · Statistics 2019-01-16 Yibo Yang , Paris Perdikaris

A surrogate model approximates the outputs of a solver of Partial Differential Equations (PDEs) with a low computational cost. In this article, we propose a method to build learning-based surrogates in the context of parameterized PDEs,…

Machine Learning · Computer Science 2024-06-28 Alejandro Ribés , Nawfal Benchekroun , Théo Delagnes

Machine learning has emerged as a significant approach to efficiently tackle electronic structure problems. Despite its potential, there is less guarantee for the model to generalize to unseen data that hinders its application in real-world…

Machine Learning · Computer Science 2024-02-16 Gengyuan Hu , Gengchen Wei , Zekun Lou , Philip H. S. Torr , Wanli Ouyang , Han-sen Zhong , Chen Lin

Machine learning models of vastly different modalities and architectures are being trained to predict the behavior of molecules, materials, and proteins. However, it remains unclear whether they learn similar internal representations of…

Machine Learning · Computer Science 2025-12-04 Sathya Edamadaka , Soojung Yang , Ju Li , Rafael Gómez-Bombarelli

Machine learning has the potential to accelerate materials discovery by accurately predicting materials properties at a low computational cost. However, the model inputs remain a key stumbling block. Current methods typically use…

Computational Physics · Physics 2021-01-07 Rhys E. A. Goodall , Alpha A. Lee

Understanding material failure is critical for designing stronger and lighter structures by identifying weaknesses that could be mitigated. Existing full-physics numerical simulation techniques involve trade-offs between speed, accuracy,…

This paper introduces a physics-informed machine learning approach for pathloss prediction. This is achieved by including in the training phase simultaneously (i) physical dependencies between spatial loss field and (ii) measured pathloss…

Machine Learning · Statistics 2023-12-15 Steffen Limmer , Alberto Martinez Alba , Nicola Michailow

We present a machine learning framework for predicting the structural dimensionality of hybrid metal halides (HMHs), including organic-inorganic perovskites, using a combination of chemically-informed feature engineering and advanced…

We study consistency properties of machine learning methods based on minimizing convex surrogates. We extend the recent framework of Osokin et al. (2017) for the quantitative analysis of consistency properties to the case of inconsistent…

Machine Learning · Computer Science 2019-01-10 Kirill Struminsky , Simon Lacoste-Julien , Anton Osokin

This survey examines the broad suite of methods and models for combining machine learning with physics knowledge for prediction and forecast, with a focus on partial differential equations. These methods have attracted significant interest…

Materials design and development typically takes several decades from the initial discovery to commercialization with the traditional trial and error development approach. With the accumulation of data from both experimental and…

Materials Science · Physics 2017-07-18 Xiaojiao Yu

Artificial intelligence and machine learning have shown great promise in their ability to accelerate novel materials discovery. As researchers and domain scientists seek to unify and consolidate chemical knowledge, the case for models with…

The screening of novel materials is an important topic in the field of materials science. Although traditional computational modeling, especially first-principles approaches, is a very useful and accurate tool to predict the properties of…

Computational Physics · Physics 2020-07-30 Marco Fronzi , Mutaz Abu Ghazaleh , Olexandr Isayev , David A. Winkler , Joe Shapter , Michael J. Ford

Predicting and simulating aerodynamic fields for civil aircraft over wide flight envelopes represent a real challenge mainly due to significant numerical costs and complex flows. Surrogate models and reduced-order models help to estimate…

Fluid Dynamics · Physics 2019-12-11 Romain Dupuis , Jean-Christophe Jouhaud , Pierre Sagaut

The capabilities of additive manufacturing have facilitated the design and production of mechanical metamaterials with diverse unit cell geometries. Establishing linkages between the vast design space of unit cells and their effective…

Computational Engineering, Finance, and Science · Computer Science 2025-05-05 Hooman Danesh , Maruthi Annamaraju , Tim Brepols , Stefanie Reese , Surya R. Kalidindi

Advancements in deep learning and machine learning have improved the ability to model complex, nonlinear relationships, such as those encountered in complex material inverse problems. However, the effectiveness of these methods often…

Machine Learning · Computer Science 2025-04-10 Qinyi Tian , Winston Lindqwister , Manolis Veveakis , Laura E. Dalton

Recent advancements in machine learning (ML) for materials have demonstrated that "simple" materials representations (e.g., the chemical formula alone without structural information) can sometimes achieve competitive property prediction…

Materials Science · Physics 2025-01-31 Raul Ortega-Ochoa , Alán Aspuru-Guzik , Tejs Vegge , Tonio Buonassisi

Despite an artificial intelligence-assisted modeling of disordered crystals is a widely used and well-tried method of new materials design, the issues of its robustness, reliability, and stability are still not resolved and even not…

Computational Physics · Physics 2024-11-08 Fedor S. Avilov , Roman A. Eremin , Semen A. Budennyy , Innokentiy S. Humonen
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