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We develop a learning strategy to infer the constitutive relation for the stress of polymeric flows with memory. We make no assumptions regarding the functional form of the constitutive relations, except that they should be expressible in…

Computational Physics · Physics 2020-08-06 Naoki Seryo , Takeshi Sato , John J. Molina , Takashi Taniguchi

The idea of using machine learning (ML) methods to reconstruct the dynamics of a system is the topic of recent studies in the geosciences, in which the key output is a surrogate model meant to emulate the dynamical model. In order to treat…

Machine Learning · Statistics 2021-09-22 Alban Farchi , Patrick Laloyaux , Massimo Bonavita , Marc Bocquet

Machine learning is increasingly recognized as a promising technology in the biological, biomedical, and behavioral sciences. There can be no argument that this technique is incredibly successful in image recognition with immediate…

Coupling of physics across length and time scales plays an important role in the response of microstructured materials to external loads. In a multi-scale framework, unresolved (subgrid) meso-scale dynamics is upscaled to the homogenized…

The calibration of solid constitutive models with full-field experimental data is a long-standing challenge, especially in materials which undergo large deformation. In this paper, we propose a physics-informed deep-learning framework for…

Machine Learning · Computer Science 2022-04-01 Craig M. Hamel , Kevin N. Long , Sharlotte L. B. Kramer

While many modern studies are dedicated to ML-based large-sample hydrologic modeling, these efforts have not necessarily translated into predictive improvements that are grounded in enhanced physical-conceptual understanding. Here, we…

Machine Learning · Computer Science 2025-10-06 Yuan-Heng Wang , Yang Yang , Fabio Ciulla , Hoshin V. Gupta , Charuleka Varadharajan

Digital modeling of the microstructure is important for studying the physical and transport properties of porous media. Multiscale modeling for porous media can accurately characterize macro-pores and micro-pores in a large-FoV (field of…

Image and Video Processing · Electrical Eng. & Systems 2023-05-03 Pengcheng Yan , Qizhi Teng , Xiaohai He , Zhenchuan Ma , Ningning Zhang

In this paper, we discuss a general framework for multicontinuum homogenization. Multicontinuum models are widely used in many applications and some derivations for these models are established. In these models, several macroscopic…

Numerical Analysis · Mathematics 2023-09-18 E. Chung , Y. Efendiev , J. Galvis , W. T. Leung

The development of accurate constitutive models for materials that undergo path-dependent processes continues to be a complex challenge in computational solid mechanics. Challenges arise both in considering the appropriate model assumptions…

Machine Learning · Computer Science 2023-02-22 Jan N. Fuhg , Craig M. Hamel , Kyle Johnson , Reese Jones , Nikolaos Bouklas

Multimodal datasets contain an enormous amount of relational information, which grows exponentially with the introduction of new modalities. Learning representations in such a scenario is inherently complex due to the presence of multiple…

Machine Learning · Computer Science 2019-09-24 Devanshu Arya , Stevan Rudinac , Marcel Worring

There is a growing consensus that solutions to complex science and engineering problems require novel methodologies that are able to integrate traditional physics-based modeling approaches with state-of-the-art machine learning (ML)…

Computational Physics · Physics 2022-03-15 Jared Willard , Xiaowei Jia , Shaoming Xu , Michael Steinbach , Vipin Kumar

Machine Learning (ML) has widely been used for modeling and predicting physical systems. These techniques offer high expressive power and good generalizability for interpolation within observed data sets. However, the disadvantage of…

Machine Learning · Statistics 2023-03-02 Omid Sedehi , Antonina M. Kosikova , Costas Papadimitriou , Lambros S. Katafygiotis

Image-text multimodal representation learning aligns data across modalities and enables important medical applications, e.g., image classification, visual grounding, and cross-modal retrieval. In this work, we establish a connection between…

Computer Vision and Pattern Recognition · Computer Science 2023-06-14 Peiqi Wang , William M. Wells , Seth Berkowitz , Steven Horng , Polina Golland

Synthesis of advanced inorganic materials with minimum number of trials is of paramount importance towards the acceleration of inorganic materials development. The enormous complexity involved in existing multi-variable synthesis methods…

Materials Science · Physics 2020-11-02 Bijun Tang , Yuhao Lu , Jiadong Zhou , Han Wang , Prafful Golani , Manzhang Xu , Quan Xu , Cuntai Guan , Zheng Liu

Echoing recent calls to counter reliability and robustness concerns in machine learning via multiverse analysis, we present PRESTO, a principled framework for mapping the multiverse of machine-learning models that rely on latent…

Machine Learning · Computer Science 2024-06-04 Jeremy Wayland , Corinna Coupette , Bastian Rieck

Integration of machine learning (ML) models of unresolved dynamics into numerical simulations of fluid dynamics has been demonstrated to improve the accuracy of coarse resolution simulations. However, when trained in a purely offline mode,…

Fluid Dynamics · Physics 2023-07-26 Christian Pedersen , Laure Zanna , Joan Bruna , Pavel Perezhogin

Model merging acquires general capabilities without extra data or training by combining multiple models' parameters. Previous approaches achieve linear mode connectivity by aligning parameters into the same loss basin using permutation…

Machine Learning · Computer Science 2025-03-28 Yi-Kai Zhang , Jin Wang , Xu-Xiang Zhong , De-Chuan Zhan , Han-Jia Ye

Spatio-temporal prediction of levels of an environmental exposure is an important problem in environmental epidemiology. Our work is motivated by multiple studies on the spatio-temporal distribution of mobile source, or traffic related,…

Applications · Statistics 2014-11-14 Nikolay Bliznyuk , Christopher J. Paciorek , Joel Schwartz , Brent Coull

Granular intrusion is commonly observed in natural and human-made settings. Unlike typical solids and fluids, granular media can simultaneously display fluid-like and solid-like characteristics in a variety of intrusion scenarios. This…

Soft Condensed Matter · Physics 2021-07-16 Shashank Agarwal , Andras Karsai , Daniel I Goldman , Ken Kamrin

While machine learning (ML) has found multiple applications in photonics, traditional "black box" ML models typically require prohibitively large training data sets. Generation of such data, as well as the training processes themselves,…