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Many important multi-component crystalline solids undergo mechanochemical spinodal decomposition: a phase transformation in which the compositional redistribution is coupled with structural changes of the crystal, resulting in dynamically…

Computational Engineering, Finance, and Science · Computer Science 2023-07-19 Xiaoxuan Zhang , Krishna Garikipati

This paper proposes a physics-informed neural operator (PINO) framework for solving inverse scattering problems, enabling rapid and accurate reconstructions under diverse measurement conditions. In the proposed approach, the dielectric…

Computational Physics · Physics 2026-03-27 Q. C. Dong , Zi-Xuan Su , Qing Huo Liu , Wen Chen , Zhizhang , Chen

Data-driven surrogate modeling has emerged as a promising approach for reducing computational expenses of multiscale simulations. Recurrent Neural Network (RNN) is a common choice for modeling of path-dependent behavior. However, previous…

Computational Engineering, Finance, and Science · Computer Science 2023-12-29 Yangzi He , Shabnam J. Semnani

Neural implicit mapping has emerged as a powerful paradigm for robotic navigation and scene understanding. However, real-world robotic deployment requires continual adaptation to changing environments under strict memory and computation…

Robotics · Computer Science 2026-05-29 Xunlan Zhou , Hongrui Zhao , Negar Mehr

Optimising deep neural networks is a challenging task due to complex training dynamics, high computational requirements, and long training times. To address this difficulty, we propose the framework of Generalisable Agents for Neural…

We develop a new Bayesian framework based on deep neural networks to be able to extrapolate in space-time using historical data and to quantify uncertainties arising from both noisy and gappy data in physical problems. Specifically, the…

Machine Learning · Computer Science 2022-03-14 Xuhui Meng , Liu Yang , Zhiping Mao , Jose del Aguila Ferrandis , George Em Karniadakis

Long-horizon Flexible Job-Shop Scheduling~(FJSP) presents a formidable combinatorial challenge due to complex, interdependent decisions spanning extended time horizons. While learning-based Rolling Horizon Optimization~(RHO) has emerged as…

Machine Learning · Computer Science 2026-04-14 Yujie Li , Jiuniu Wang , Mugen Peng , Guangzuo Li , Wenjia Xu

Neural network surrogate models for constitutive laws in computational mechanics have been in use for some time. In plasticity, these models often rely on gated recurrent units (GRUs) or long short-term memory (LSTM) cells, which excel at…

Materials Science · Physics 2025-08-27 Yannick Hollenweger , Dennis M. Kochman , Burigede Liu

We propose a hierarchical learning architecture for predictive control in unknown environments. We consider a constrained nonlinear dynamical system and assume the availability of state-input trajectories solving control tasks in different…

Systems and Control · Electrical Eng. & Systems 2020-07-16 Charlott Vallon , Francesco Borrelli

Discovering causal relationships between different variables from time series data has been a long-standing challenge for many domains such as climate science, finance, and healthcare. Given the complexity of real-world relationships and…

Machine Learning · Computer Science 2022-10-27 Wenbo Gong , Joel Jennings , Cheng Zhang , Nick Pawlowski

We applied physics-informed neural networks to solve the constitutive relations for nonlinear, path-dependent material behavior. As a result, the trained network not only satisfies all thermodynamic constraints but also instantly provides…

Computational Engineering, Finance, and Science · Computer Science 2023-09-07 Shahed Rezaei , Ahmad Moeineddin , Ali Harandi

We present an approach to numerical homogenization of the elastic response of microstructures. Our work uses deep neural network representations trained on data obtained from direct numerical simulation (DNS) of martensitic phase…

Computational Physics · Physics 2019-01-04 K. Sagiyama , K. Garikipati

Neural operators offer a powerful data-driven framework for learning mappings between function spaces, in which the transformer-based neural operator architecture faces a fundamental scalability-accuracy trade-off: softmax attention…

Machine Learning · Computer Science 2025-10-21 Ming Zhong , Zhenya Yan

Representation learning is at the heart of what makes deep learning effective. In this work, we introduce a new framework for representation learning that we call "Holographic Neural Architectures" (HNAs). In the same way that an observer…

Machine Learning · Statistics 2018-06-05 Tariq Daouda , Jeremie Zumer , Claude Perreault , Sébastien Lemieux

In recent years, Artificial Intelligence has become a powerful partner for complex tasks such as data analysis, prediction, and problem-solving, yet its lack of transparency raises concerns about its reliability. In sensitive domains such…

Machine Learning · Computer Science 2026-03-10 Jesús Sánchez Ochoa , Enrique Tomás Martínez Beltrán , Alberto Huertas Celdrán

The demand for high-performance materials, along with advanced synthesis technologies such as additive manufacturing and 3D printing, has spurred the development of hierarchical composites with superior properties. However, computational…

Materials Science · Physics 2023-07-20 Meer Mehran Rashid , Souvik Chakraborty , N. M. Anoop Krishnan

We extend the Data-Driven formulation of problems in elasticity of Kirchdoerfer and Ortiz (2016) to inelasticity. This extension differs fundamentally from Data-Driven problems in elasticity in that the material data set evolves in time as…

Computational Engineering, Finance, and Science · Computer Science 2019-04-24 Robert Eggersmann , Trenton Kirchdoerfer , Stefanie Reese , Laurent Stainier , Michael Ortiz

We consider a Continual Reinforcement Learning setup, where a learning agent must continuously adapt to new tasks while retaining previously acquired skill sets, with a focus on the challenge of avoiding forgetting past gathered knowledge…

Machine Learning · Computer Science 2026-02-06 Anthony Kobanda , Rémy Portelas , Odalric-Ambrym Maillard , Ludovic Denoyer

Recent advances in physics-augmented neural networks have enabled thermodynamically consistent data-driven constitutive modeling of complex inelastic materials. Most existing approaches, however, implicitly adopt a specific thermodynamic…

Materials Science · Physics 2026-05-28 Reese E. Jones , Jan N. Fuhg

Neural operators have emerged as a powerful, data-driven paradigm for learning solution operators of partial differential equations (PDEs). State-of-the-art architectures, such as the Fourier Neural Operator (FNO), have achieved remarkable…

Machine Learning · Computer Science 2025-08-08 Saman Pordanesh , Pejman Shahsavari , Hossein Ghadjari
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