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The present study develops a physics-constrained neural network (PCNN) to predict sequential patterns and motions of multiphase flows (MPFs), which includes strong interactions among various fluid phases. To predict the order parameters,…

Fluid Dynamics · Physics 2022-10-06 Haoyang Zheng , Ziyang Huang , Guang Lin

Identifying the structural priors that enable Deep Neural Networks (DNNs) to overcome the curse of dimensionality is a fundamental challenge in machine learning theory. Existing literature suggests that effective high-dimensional learning…

Machine Learning · Computer Science 2026-05-15 Hongyu Lin , Antonio Briola , Yuanrong Wang , Tomaso Aste

The free energy of a system is central to many material models. Although free energy data is not generally found directly, its derivatives can be observed or calculated. In this work, we present an Integrable Deep Neural Network (IDNN) that…

Materials Science · Physics 2019-06-26 G. H. Teichert , A. R. Natarajan , A. Van der Ven , K. Garikipati

Accurate prediction of molecular properties is essential in drug discovery and related fields. However, existing graph neural networks (GNNs) often struggle to simultaneously capture both local and global molecular structures. In this work,…

Machine Learning · Computer Science 2025-08-26 XiaYu Liu , Chao Fan , Yang Liu , Hou-biao Li

Various machine learning models have been used to predict the properties of polycrystalline materials, but none of them directly consider the physical interactions among neighboring grains despite such microscopic interactions critically…

Materials Science · Physics 2021-07-16 Minyi Dai , Mehmet F. Demirel , Yingyu Liang , Jia-Mian Hu

In the field of chemistry, the objective is to create novel molecules with desired properties, facilitating accurate property predictions for applications such as material design and drug screening. However, existing graph deep learning…

Machine Learning · Computer Science 2024-08-28 Sakhinana Sagar Srinivas , Venkataramana Runkana

We present a nonparametric interpretation for deep learning compatible modern Hopfield models and utilize this new perspective to debut efficient variants. Our key contribution stems from interpreting the memory storage and retrieval…

Machine Learning · Statistics 2025-06-10 Jerry Yao-Chieh Hu , Bo-Yu Chen , Dennis Wu , Feng Ruan , Han Liu

Deep Material Networks (DMNs) are structure-preserving, mechanistic machine learning models that embed micromechanical principles into their architectures, enabling strong extrapolation capabilities and significant potential to accelerate…

Machine Learning · Computer Science 2026-02-10 Xiaolong He , Haoyan Wei , Wei Hu , Henan Mao , C. T. Wu

Physical neural networks using physical materials and devices to mimic synapses and neurons offer an energy-efficient way to implement artificial neural networks. Yet, training physical neural networks are difficult and heavily relies on…

Disordered Systems and Neural Networks · Physics 2025-01-07 Chang Niu , Huanyu Zhang , Chuanlong Xu , Wenjie Hu , Yunzhuo Wu , Yu Wu , Yadi Wang , Tong Wu , Yi Zhu , Yinyan Zhu , Wenbin Wang , Yizheng Wu , Lifeng Yin , Jiang Xiao , Weichao Yu , Hangwen Guo , Jian Shen

In this paper, an innovative Physical Model-driven Neural Network (PMNN) method is proposed to solve time-fractional differential equations. It establishes a temporal iteration scheme based on physical model-driven neural networks which…

Machine Learning · Computer Science 2023-10-10 Zhiying Ma , Jie Hou , Wenhao Zhu , Yaxin Peng , Ying Li

Message passing neural networks (MPNNs) operate on graphs by exchanging information between neigbouring nodes. MPNNs have been successfully applied to various node-, edge-, and graph-level tasks in areas like molecular science, computer…

Machine Learning · Computer Science 2025-11-05 Lisi Qarkaxhija , Anatol E. Wegner , Ingo Scholtes

Hybrid analog-digital signal processing (HSP) is an enabling technology to harvest the potential of millimeter-wave (mmWave) massive-MIMO communications. In this paper, we present a general deep learning (DL) framework for efficient design…

Signal Processing · Electrical Eng. & Systems 2024-10-28 Alireza Morsali , Afshin Haghighat , Benoit Champagne

Originating in quantum physics, tensor networks (TNs) have been widely adopted as exponential machines and parameter decomposers for recognition tasks. Typical TN models, such as Matrix Product States (MPS), have not yet achieved successful…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Chang Nie , Junfang Chen , Yajie Chen

Topological states in photonics offer novel prospects for guiding and manipulating photons and facilitate the development of modern optical components for a variety of applications. Over the past few years, photonic topology physics has…

Applied Physics · Physics 2023-07-19 Robin Singh , Anuradha Murthy Agarwal , Brian W Anthony

Accurate demand forecasting is crucial for optimizing supply chain management. Traditional methods often fail to capture complex patterns from seasonal variability and special events. Despite advancements in deep learning, interpretable…

Machine Learning · Computer Science 2025-03-04 Md Abrar Jahin , Asef Shahriar , Md Al Amin

Network embedding is the process of learning low-dimensional representations for nodes in a network, while preserving node features. Existing studies only leverage network structure information and focus on preserving structural features.…

Machine Learning · Computer Science 2019-03-29 Conghui Zheng , Li Pan , Peng Wu

Multiscale simulations are indispensable for connecting microstructural features to the macroscopic behavior of polycrystalline materials, but their high computational demands limit their practicality. Deep material networks (DMNs) have…

Computational Engineering, Finance, and Science · Computer Science 2025-02-05 Ting-Ju Wei , Tung-Huan Su , Chuin-Shan Chen

Physics-constrained neural networks are commonly employed to enhance prediction robustness compared to purely data-driven models, achieved through the inclusion of physical constraint losses during the model training process. However, one…

Machine Learning · Computer Science 2024-02-06 Hao Zhou , Sibo Cheng , Rossella Arcucci

Accurate prediction of physical properties is critical for discovering and designing novel materials. Machine learning technologies have attracted significant attention in the materials science community for their potential for large-scale…

Materials Science · Physics 2021-11-24 Boyu Zhang , Mushen Zhou , Jianzhong Wu , Fuchang Gao

Machine learning is employed for solving physical systems governed by general nonlinear partial differential equations (PDEs). However, complex multi-physics systems such as acoustic-structure coupling are often described by a series of…

Machine Learning · Computer Science 2024-03-05 Chu Wang , Jinhong Wu , Yanzhi Wang , Zhijian Zha , Qi Zhou