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Physics-informed neural networks (PINNs) have recently emerged as an alternative way of solving partial differential equations (PDEs) without the need of building elaborate grids, instead, using a straightforward implementation. In…

Analysis of PDEs · Mathematics 2019-09-04 Dongkun Zhang , Lu Lu , Ling Guo , George Em Karniadakis

Discovering the unknown governing equations of grid-connected inverters from external measurements holds significant attraction for analyzing modern inverter-intensive power systems. However, existing methods struggle to balance the…

Systems and Control · Electrical Eng. & Systems 2026-02-19 Jialin Zheng , Ruhaan Batta , Zhong Liu , Xiaonan Lu

This work addresses the development of a physics-informed neural network (PINN) with a loss term derived from a discretized time-dependent reduced-order system. In this work, first, the governing equations are discretized using a finite…

Numerical Analysis · Mathematics 2024-01-30 Rahul Halder , Giovanni Stabile , Gianluigi Rozza

Biophysical models describing complex, cellular phenomena typically include systems of nonlinear differential equations with many free parameters. While experimental measurements can fix some parameters, those describing internal cellular…

Computational Physics · Physics 2025-07-08 Joseph M. Marcinik , Martín A. Toderi , Dolores Bozovic

Partial differential equations (PDEs) play a fundamental role in modeling and simulating problems across a wide range of disciplines. Recent advances in deep learning have shown the great potential of physics-informed neural networks…

Machine Learning · Computer Science 2022-01-31 Pu Ren , Chengping Rao , Yang Liu , Jianxun Wang , Hao Sun

Artificial Intelligence (AI) is a powerful new language of science as evidenced by recent Nobel Prizes in chemistry and physics that recognized contributions to AI applied to those areas. Yet, this new language lacks semantics, which makes…

Artificial Intelligence · Computer Science 2025-11-05 Artur d'Avila Garcez , Simon Odense

Explainable AI (XAI) has become essential in computer vision to make the decision-making processes of deep learning models transparent. However, current visual explanation (XAI) methods face a critical trade-off between the high fidelity of…

Computer Vision and Pattern Recognition · Computer Science 2026-03-09 Gwanghee Lee , Sungyoon Jeong , Kyoungson Jhang

Explainable Artificial Intelligence (XAI) is an emerging research topic of machine learning aimed at unboxing how AI systems' black-box choices are made. This research field inspects the measures and models involved in decision-making and…

Artificial Intelligence · Computer Science 2021-02-04 Guang Yang , Qinghao Ye , Jun Xia

Understanding the conformational evolution of $\beta$-amyloid ($A\beta$), particularly the $A\beta_{42}$ isoform, is fundamental to elucidating the pathogenic mechanisms underlying Alzheimer's disease. However, existing end-to-end deep…

Machine Learning · Computer Science 2026-02-24 Qianfeng Yu , Ningkang Peng , Yanhui Gu

Machine learning for scientific discovery is increasingly becoming popular because of its ability to extract and recognize the nonlinear characteristics from the data. The black-box nature of deep learning methods poses difficulties in…

Computational Physics · Physics 2024-11-19 Ashish Pal , Satish Nagarajaiah

A particularly challenging problem in AI safety is providing guarantees on the behavior of high-dimensional autonomous systems. Verification approaches centered around reachability analysis fail to scale, and purely statistical approaches…

Artificial Intelligence · Computer Science 2025-03-11 Souradeep Dutta , Michele Caprio , Vivian Lin , Matthew Cleaveland , Kuk Jin Jang , Ivan Ruchkin , Oleg Sokolsky , Insup Lee

We survey classical, machine learning, and data-driven system identification approaches to learn control-relevant and physics-informed models of dynamical systems. Recently, machine learning approaches have enabled system identification…

Systems and Control · Electrical Eng. & Systems 2025-12-09 S. Sivaranjani , Yuanyuan Shi , Nikolay Atanasov , Thai Duong , Jie Feng , Tim Martin , Yuezhu Xu , Vijay Gupta , Frank Allgöwer

Core knowledge about physical objects -- e.g., their permanency, spatial transformations, and interactions -- is one of the most fundamental building blocks of biological intelligence across humans and non-human animals. While AI techniques…

Artificial Intelligence · Computer Science 2023-11-02 James Ainooson , Deepayan Sanyal , Joel P. Michelson , Yuan Yang , Maithilee Kunda

Chemical disorder, originating from the mixed occupation of crystallographic sites by multiple elements, is widespread in alloys, ceramics, and compositionally complex materials, where short- and long-range orderings can strongly influence…

Materials Science · Physics 2026-05-20 Jiayu Peng , Peichen Zhong

In this paper, we propose a novel method named Biomedical Confident Itemsets Explanation (BioCIE), aiming at post-hoc explanation of black-box machine learning models for biomedical text classification. Using sources of domain knowledge and…

Artificial Intelligence · Computer Science 2021-02-08 Milad Moradi , Matthias Samwald

A central challenge in sensory neuroscience is describing how the activity of populations of neurons can represent useful features of the external environment. However, while neurophysiologists have long been able to record the responses of…

Neural and Evolutionary Computing · Computer Science 2015-02-18 Chuan-Yung Tsai , David D. Cox

Deep learning algorithms have recently shown to be a successful tool in estimating parameters of statistical models for which simulation is easy, but likelihood computation is challenging. But the success of these approaches depends on…

Machine Learning · Statistics 2024-02-20 Amanda Lenzi , Haavard Rue

Data-driven discovery of governing equations in computational science has emerged as a new paradigm for obtaining accurate physical models and as a possible alternative to theoretical derivations. The recently developed physics-informed…

Machine Learning · Computer Science 2023-10-18 Zongren Zou , Xuhui Meng , George Em Karniadakis

Deep neural networks and other intricate Artificial Intelligence (AI) models have reached high levels of accuracy on many biomedical natural language processing tasks. However, their applicability in real-world use cases may be limited due…

Artificial Intelligence · Computer Science 2020-10-22 Milad Moradi , Matthias Samwald

We outline recent developments in artificial intelligence (AI) and machine learning (ML) techniques for integrative structural biology of intrinsically disordered proteins (IDP) ensembles. IDPs challenge the traditional protein…

Biomolecules · Quantitative Biology 2020-12-03 Arvind Ramanathan , Heng Ma , Akash Parvatikar , Chakra S. Chennubhotla