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Data-driven discovery of partial differential equations (PDEs) has attracted increasing attention in recent years. Although significant progress has been made, certain unresolved issues remain. For example, for PDEs with high-order…

Machine Learning · Computer Science 2021-09-14 Hao Xu , Dongxiao Zhang , Nanzhe Wang

The standard continuum model of a lithium-ion battery, the Doyle-Fuller-Newman (DFN) model, is computationally expensive to solve. Typically simpler models, such as the single particle model (SPM), are used to provide insight for control…

Chemical Physics · Physics 2019-11-07 Scott G. Marquis , Valentin Sulzer , Robert Timms , Colin P. Please , S. Jon Chapman

Enhancing seismic fragility and risk assessment of nuclear power plants relies on accurate prediction of reactor building responses to seismic hazards, which can be further improved through dynamic analysis of high-fidelity finite element…

Applications · Statistics 2026-04-27 Taro Yaoyama , Sangwon Lee , Minoru Matsubara , Kenzo Kodera , Takeshi Ugata , Tatsuya Itoi

We develop a neuroevolution-potential (NEP) framework for generating neural network based machine-learning potentials. They are trained using an evolutionary strategy for performing large-scale molecular dynamics (MD) simulations. A…

Computational Physics · Physics 2022-01-25 Zheyong Fan , Zezhu Zeng , Cunzhi Zhang , Yanzhou Wang , Haikuan Dong , Yue Chen , Tapio Ala-Nissila

Universal Differential Equations (UDEs), which blend neural networks with physical differential equations, have emerged as a powerful framework for scientific machine learning (SciML), enabling data-efficient, interpretable, and physically…

Machine Learning · Computer Science 2025-06-11 Tarushri N. S.

Battery prognostics and health management predictive models are essential components of safety and reliability protocols in battery management system frameworks. Overall, developing a robust and efficient battery model that aligns with the…

Data Analysis, Statistics and Probability · Physics 2022-12-05 Hamed Sadegh Kouhestani , Lin Liu , Ruimin Wang , Abhijit Chandra

We investigate a deep learning approach to efficiently perform Bayesian inference in partial differential equation (PDE) and integral equation models over potentially high-dimensional parameter spaces. The contributions of this paper are…

Numerical Analysis · Mathematics 2021-03-26 Teo Deveney , Eike Mueller , Tony Shardlow

Machine learning (ML) techniques have rapidly found applications in many domains of materials chemistry and physics where large data sets are available. Aiming to accelerate the discovery of materials for battery applications, in this work,…

Materials Science · Physics 2019-05-24 Rajendra P. Joshi , Jesse Eickholt , Liling Li , Marco Fornari , Veronica Barone , Juan E. Peralta

We present a novel deep learning method for estimating time-dependent parameters in Markov processes through discrete sampling. Departing from conventional machine learning, our approach reframes parameter approximation as an optimization…

Signal-background classification is a central problem in High-Energy Physics (HEP), that plays a major role for the discovery of new fundamental particles. A recent method -- the Parametric Neural Network (pNN) -- leverages multiple signal…

High Energy Physics - Experiment · Physics 2022-11-15 Luca Anzalone , Tommaso Diotalevi , Daniele Bonacorsi

We compare the predicted phase behaviour of lead (Pb) using three different interatomic potential models, including an embedded atom method (EAM), a modified embedded atom method (MEAM), and a neural network-based machine-learned model in…

By informing accurate performance (e.g., capacity), health state management plays a significant role in safeguarding battery and its powered system. While most current approaches are primarily based on data-driven methods, lacking in-depth…

Signal Processing · Electrical Eng. & Systems 2020-08-13 Yan Qin , Chau Yuen , Stefan Adams

Operating autonomous vehicles at the absolute limits of handling requires precise, real-time identification of highly non-linear tire dynamics. However, traditional online optimization methods suffer from "cold-start" initialization…

Robotics · Computer Science 2026-03-11 Zhiping Wu , Cheng Hu , Yiqin Wang , Lei Xie , Hongye Su

Efficient and accurate prediction of Multiphysics evolution across diverse cell geometries is fundamental to the design, management and safety of lithium-ion batteries. However, existing computational frameworks struggle to capture the…

Computational Engineering, Finance, and Science · Computer Science 2026-03-19 Zhiwei Zhao , Changqing Liu , Jie Lin , Fan Yang , Yifan Zhang , Yan Jin , Yingguang Li

Atomistic modeling of solid-solid battery interfaces is essential for understanding electro-chemo-mechanical coupling, but the complex interfacial chemistry and heterogeneous environments pose major challenges for quantum-accurate,…

Materials Science · Physics 2026-01-27 Xiaoqing Liu , Xinyu Yu , Yangshuai Wang , Zhe-Tao Sun , Zedong Luo , Kehan Zeng , Teng Zhao , Shou-Hang Bo , Zhenli Xu

In many mechanistic medical, biological, physical and engineered spatiotemporal dynamic models the numerical solution of partial differential equations (PDEs) can make simulations impractically slow. Biological models require the…

Soft Condensed Matter · Physics 2021-02-11 J. Quetzalcóatl Toledo-Marín , Geoffrey Fox , James P. Sluka , James A. Glazier

This paper investigates the identifiability and estimation of the parameters of the single particle model (SPM) for lithium-ion battery simulation. Identifiability is addressed both in principle and in practice. The approach begins by…

Systems and Control · Computer Science 2018-10-03 Adrien M. Bizeray , Jin-Ho Kim , Stephen R. Duncan , David A. Howey

Accurately predicting the lifetime of battery cells in early cycles holds tremendous value for battery research and development as well as numerous downstream applications. This task is rather challenging because diverse conditions, such as…

Signal Processing · Electrical Eng. & Systems 2023-11-27 Han Zhang , Yuqi Li , Shun Zheng , Ziheng Lu , Xiaofan Gui , Wei Xu , Jiang Bian

Li-Ion Solid-State Electrolytes (Li-SSEs) are a promising solution that resolves the critical issues of conventional Li-Ion Batteries (LIBs) such as poor ionic conductivity, interfacial instability, and dendrites growth. In this study, a…

Materials Science · Physics 2022-02-15 Seungpyo Kang , Minseon Kim , Kyoungmin Min

Rechargeable battery electrodes have highly complex microstructures, consisting of nonuniform electrode particles, tortuous electrolyte channels, and irregular particle-electrolyte interfaces. Moreover, the electrochemical processes involve…

Materials Science · Physics 2026-03-26 Hui-Chia Yu , Bernardo Orvananos , Scott Cronin , Martin Bazant , Scott Barnett , K. Thornton
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