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A novel deep operator network (DeepONet) with a residual U-Net (ResUNet) as the trunk network is devised to predict full-field highly nonlinear elastic-plastic stress response for complex geometries obtained from topology optimization under…

Computational Engineering, Finance, and Science · Computer Science 2023-08-01 Junyan He , Seid Koric , Shashank Kushwaha , Jaewan Park , Diab Abueidda , Iwona Jasiuk

An important application of neural networks to scientific computing has been the learning of non-linear operators. In this framework, a neural network is trained to fit a non-linear map between two infinite dimensional spaces, for example,…

Machine Learning · Computer Science 2026-02-03 Shao-Ting Chiu , Aditya Nambiar , Ali Syed , Jonathan W. Siegel , Ulisses Braga-Neto

An adaptive modeling method (AMM) that couples a deep neural network potential and a classical force field is introduced to address the accuracy-efficiency dilemma faced by the molecular simulation community. The AMM simulated system is…

Chemical Physics · Physics 2018-11-14 Linfeng Zhang , Han Wang , Weinan E

Deep learning has proven to be a highly effective tool for a wide range of applications, significantly when leveraging the power of multi-loss functions to optimize performance on multiple criteria simultaneously. However, optimal selection…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Amin Golnari , Mostafa Diba

As supercomputers advance towards exascale capabilities, computational intensity increases significantly, and the volume of data requiring storage and transmission experiences exponential growth. Adaptive Mesh Refinement (AMR) has emerged…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-20 Daoce Wang , Jesus Pulido , Pascal Grosset , Jiannan Tian , Sian Jin , Houjun Tang , Jean Sexton , Sheng Di , Zarija Lukić , Kai Zhao , Bo Fang , Franck Cappello , James Ahrens , Dingwen Tao

We present an improved method for topology optimization with both adaptive mesh refinement and derefinement. Since the total volume fraction in topology optimization is usually modest, after a few initial iterations the domain of…

Numerical Analysis · Mathematics 2010-09-28 Shun Wang , Eric de Sturler , Glaucio H. Paulino

Existing stereo matching networks typically rely on either cost-volume construction based on 3D convolutions or deformation methods based on iterative optimization. The former incurs significant computational overhead during cost…

Computer Vision and Pattern Recognition · Computer Science 2026-01-09 Ao Xu , Rujin Zhao , Xiong Xu , Boceng Huang , Yujia Jia , Hongfeng Long , Fuxuan Chen , Zilong Cao , Fangyuan Chen

Coastal regions and river floodplains are particularly vulnerable to the impacts of extreme weather events. Accurate real-time forecasting of hydrodynamic processes in these areas is essential for infrastructure planning and climate…

Computational Engineering, Finance, and Science · Computer Science 2026-02-04 Peter Rivera-Casillas , Sourav Dutta , Shukai Cai , Mark Loveland , Kamaljyoti Nath , Khemraj Shukla , Corey Trahan , Jonghyun Lee , Matthew Farthing , Clint Dawson

Adaptive gradient methods, such as Adam and LAMB, have demonstrated excellent performance in the training of large language models. Nevertheless, the need for adaptivity requires maintaining second-moment estimates of the per-parameter…

Computation and Language · Computer Science 2023-08-08 Yang Luo , Xiaozhe Ren , Zangwei Zheng , Zhuo Jiang , Xin Jiang , Yang You

Automatic modulation classification (AMC) is an essential technique for noncooperative spectrum monitoring and intelligent wireless receivers. However, practical AMC models must identify modulation formats from short and noisy I/Q…

Signal Processing · Electrical Eng. & Systems 2026-05-26 Ruixiang Zhang , Zinan Zhou , Yezhuo Zhang , Guangyu Li , Xuanpeng Li

Neural networks are universal approximators that traditionally have been used to learn a map between function inputs and outputs. However, recent research has demonstrated that deep neural networks can be used to approximate operators,…

Deep neural networks (DNNs) have become ubiquitous thanks to their remarkable ability to model complex patterns across various domains such as computer vision, speech recognition, robotics, etc. While large DNN models are often more…

Machine Learning · Computer Science 2025-11-18 Omkar Shende , Gayathri Ananthanarayanan , Marcello Traiola

Phase-field modeling reformulates fracture problems as energy minimization problems and enables a comprehensive characterization of the fracture process, including crack nucleation, propagation, merging, and branching, without relying on…

Computational Physics · Physics 2025-04-15 Elham Kiyani , Manav Manav , Nikhil Kadivar , Laura De Lorenzis , George Em Karniadakis

Deep neural networks have been remarkable successful in various AI tasks but often cast high computation and energy cost for energy-constrained applications such as mobile sensing. We address this problem by proposing a novel framework that…

Machine Learning · Computer Science 2017-10-11 Jiaqi Guan , Yang Liu , Qiang Liu , Jian Peng

In the pursuit of accurate experimental and computational data while minimizing effort, there is a constant need for high-fidelity results. However, achieving such results often requires significant computational resources. To address this…

Machine Learning · Computer Science 2023-11-08 Amirhossein Mollaali , Izzet Sahin , Iqrar Raza , Christian Moya , Guillermo Paniagua , Guang Lin

Many important physical processes have dynamics that are too complex to completely model analytically. Optimisation of such processes often relies on intuition, trial-and-error, or the construction of empirical models. Machine learning…

Nonlinear physical phenomena often show complex multiscale interactions; motivated by the principles of multiscale modeling in scientific computing, we propose PAS-Net, a physics-informed Adaptive-Scale Deep Operator Network for learning…

Computational Physics · Physics 2025-11-20 Changhong Mou , Yeyu Zhang , Xuewen Zhu , Qiao Zhuang

Accurate protein function prediction requires integrating heterogeneous intrinsic signals (e.g., sequence and structure) with noisy extrinsic contexts (e.g., protein-protein interactions and GO term annotations). However, two key challenges…

Machine Learning · Computer Science 2025-10-28 Runjie Zheng , Zhen Wang , Anjie Qiao , Jiancong Xie , Jiahua Rao , Yuedong Yang

Shape optimization is essential in aerospace vehicle design, including reentry systems, and propulsion system components, as it directly influences aerodynamic efficiency, structural integrity, and overall mission success. Rapid and…

Machine Learning · Computer Science 2025-05-27 Ahmad Peyvan , Varun Kumar , George Em Karniadakis

Neural Ordinary Differential Equations (ODEs) represent a significant advancement at the intersection of machine learning and dynamical systems, offering a continuous-time analog to discrete neural networks. Despite their promise, deploying…

Numerical Analysis · Mathematics 2025-06-18 Matteo Caldana , Jan S. Hesthaven
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