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The interpretability of neural networks (NNs) is a challenging but essential topic for transparency in the decision-making process using machine learning. One of the reasons for the lack of interpretability is random weight initialization,…

机器学习 · 计算机科学 2021-03-01 Shohei Kubota , Hideaki Hayashi , Tomohiro Hayase , Seiichi Uchida

Physics-informed neural networks (PINNs) are a promising approach that combines the power of neural networks with the interpretability of physical modeling. PINNs have shown good practical performance in solving partial differential…

统计理论 · 数学 2026-01-26 Nathan Doumèche , Gérard Biau , Claire Boyer

Deep learning methods have been widely used as an end-to-end modeling strategy of electrical energy systems because of their conveniency and powerful pattern recognition capability. However, due to the "closed-box" nature, deep learning…

信号处理 · 电气工程与系统科学 2026-05-12 Zhenghao Zhou , Yiyan Li , Zelin Guo , Zheng Yan , Mo-Yuen Chow

One of the main goals of developmental biology is to reveal the gene regulatory networks (GRNs) underlying the robust differentiation of multipotent progenitors into precisely specified cell types. Most existing methods to infer GRNs from…

定量方法 · 定量生物学 2024-01-23 Maria Mircea , Diego Garlaschelli , Stefan Semrau

Unmanned aerial vehicle (UAV) communications demand accurate yet interpretable air-to-ground (A2G) channel models that can adapt to nonstationary propagation environments. While deterministic models offer interpretability and deep learning…

机器学习 · 计算机科学 2026-01-06 Kürşat Tekbıyık , Güneş Karabulut Kurt , Antoine Lesage-Landry

Physics-Informed Neural Networks (PINNs) have advanced the data-driven solution of differential equations (DEs) in dynamic physical systems, yet challenges remain in explainability, scalability, and architectural complexity. This paper…

信号处理 · 电气工程与系统科学 2025-12-03 Ibrahim Shahbaz , Mohammad J. Abdel-Rahman , Eman Hammad

The remarkable performance of convolutional neural networks (CNNs) is entangled with their huge number of uninterpretable parameters, which has become the bottleneck limiting the exploitation of their full potential. Towards network…

计算机视觉与模式识别 · 计算机科学 2020-08-26 Yuchao Li , Rongrong Ji , Shaohui Lin , Baochang Zhang , Chenqian Yan , Yongjian Wu , Feiyue Huang , Ling Shao

Time series classification is a relevant step supporting decision-making processes in various domains, and deep neural models have shown promising performance in this respect. Despite significant advancements in deep learning, the…

机器学习 · 计算机科学 2025-11-04 Irina Barašin , Blaž Bertalanič , Mihael Mohorčič , Carolina Fortuna

Along with the great success of deep neural networks, there is also growing concern about their black-box nature. The interpretability issue affects people's trust on deep learning systems. It is also related to many ethical problems, e.g.,…

机器学习 · 计算机科学 2022-02-01 Yu Zhang , Peter Tiňo , Aleš Leonardis , Ke Tang

Physics-informed deep learning has drawn tremendous interest in recent years to solve computational physics problems, whose basic concept is to embed physical laws to constrain/inform neural networks, with the need of less data for training…

流体动力学 · 物理学 2020-11-24 Chengping Rao , Hao Sun , Yang Liu

PINN models have demonstrated capabilities in addressing fluid PDE problems, and their potential in solid mechanics is beginning to emerge. This study identifies two key challenges when using PINN to solve general solid mechanics problems.…

计算工程、金融与科学 · 计算机科学 2025-06-10 Haolin Li , Yuyang Miao , Zahra Sharif Khodaei , M. H. Aliabadi

Physics-informed neural networks (PINNs) have attracted attention as an alternative approach to solve partial differential equations using a deep neural network (DNN). Their simplicity and capability allow them to solve inverse problems for…

流体动力学 · 物理学 2025-12-24 Ryuta Takao , Satoshi Ii

We explore the capability of physics-informed neural networks (PINNs) to discover multiple solutions. Many real-world phenomena governed by nonlinear differential equations (DEs), such as fluid flow, exhibit multiple solutions under the…

机器学习 · 计算机科学 2025-03-11 Zongren Zou , Zhicheng Wang , George Em Karniadakis

Physics-informed neural networks (PINNs) are at the forefront of scientific machine learning, making possible the creation of machine intelligence that is cognizant of physical laws and able to accurately simulate them. However, today's…

神经与进化计算 · 计算机科学 2026-02-23 Jian Cheng Wong , Chin Chun Ooi , Abhishek Gupta , Pao-Hsiung Chiu , Joshua Shao Zheng Low , My Ha Dao , Yew-Soon Ong

Clinical decisions are high-stakes and require explicit justification, making model interpretability essential for auditing deep clinical models prior to deployment. As the ecosystem of model architectures and explainability methods…

机器学习 · 计算机科学 2026-03-27 Yongda Fan , John Wu , Andrea Fitzpatrick , Naveen Baskaran , Jimeng Sun , Adam Cross

Interpretability of deep neural networks (DNNs) is essential since it enables users to understand the overall strengths and weaknesses of the models, conveys an understanding of how the models will behave in the future, and how to diagnose…

计算机视觉与模式识别 · 计算机科学 2017-03-31 Yinpeng Dong , Hang Su , Jun Zhu , Bo Zhang

Modern power systems face significant challenges in state estimation and real-time monitoring, particularly regarding response speed and accuracy under faulty conditions or cyber-attacks. This paper proposes a hybrid approach using…

机器学习 · 计算机科学 2026-04-07 Solon Falas , Markos Asprou , Charalambos Konstantinou , Maria K. Michael

Approximating solutions to partial differential equations (PDEs) is fundamental for the modeling of dynamical systems in science and engineering. Physics-informed neural networks (PINNs) are a recent machine learning-based approach, for…

Neutrinos can experience fast flavor conversions (FFCs) in highly dense astrophysical environments, such as core-collapse supernovae and neutron star mergers, potentially affecting energy transport and other processes. Simulating fast…

高能天体物理现象 · 物理学 2026-03-23 Haihao Shi , Zhenyang Huang , Qiyu Yan , Junda Zhou , Guoliang Lü , Xuefei Chen

There has been a growing interest in the use of Deep Neural Networks (DNNs) to solve Partial Differential Equations (PDEs). Despite the promise that such approaches hold, there are various aspects where they could be improved. Two such…

机器学习 · 计算机科学 2022-12-26 Amuthan A. Ramabathiran , Prabhu Ramachandran