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This paper proposes a new data-driven method for the reliable prediction of power system post-fault trajectories. The proposed method is based on the fundamentally new concept of Deep Operator Networks (DeepONets). Compared to traditional…

Numerical Analysis · Mathematics 2022-02-16 Christian Moya , Shiqi Zhang , Meng Yue , Guang Lin

Dense optical flow estimation is challenging when there are large displacements in a scene with heterogeneous motion dynamics, occlusion, and scene homogeneity. Traditional approaches to handle these challenges include hierarchical and…

Computer Vision and Pattern Recognition · Computer Science 2023-11-02 Ali Salehi , Madhusudhanan Balasubramanian

Deep neural operators, such as DeepONets, have changed the paradigm in high-dimensional nonlinear regression from function regression to (differential) operator regression, paving the way for significant changes in computational engineering…

Modern geosteering is heavily dependent on real-time interpretation of deep electromagnetic (EM) measurements. We present a methodology to construct a deep neural network (DNN) model trained to reproduce a full set of extra-deep EM logs…

Signal Processing · Electrical Eng. & Systems 2021-08-16 Sergey Alyaev , Mostafa Shahriari , David Pardo , Angel Javier Omella , David Larsen , Nazanin Jahani , Erich Suter

Accurate prediction of flow fields around underwater vehicles undergoing vertical-plane oblique motions is critical for hydrodynamic analysis, but it often requires computationally expensive CFD simulations. This study proposes a…

Fluid Dynamics · Physics 2026-01-07 Tianli Hu , Chengsheng Wu , Jun Ding , Xing Wang , Yu Yang , Jianchun Wang

In recent years, advances in deep learning have resulted in unprecedented leaps in diverse tasks spanning from speech and object recognition to context awareness and health monitoring. As a result, an increasing number of AI-enabled…

Machine Learning · Computer Science 2019-05-20 Mario Almeida , Stefanos Laskaridis , Ilias Leontiadis , Stylianos I. Venieris , Nicholas D. Lane

Humans gain an implicit understanding of physical laws through observing and interacting with the world. Endowing an autonomous agent with an understanding of physical laws through experience and observation is seldom practical: we should…

Computational Physics · Physics 2018-12-06 Wilhelm E. Sorteberg , Stef Garasto , Alison S. Pouplin , Chris D. Cantwell , Anil A. Bharath

A fundamental issue in multiscale materials modeling and design is the consideration of traction-separation behavior at the interface. By enriching the deep material network (DMN) with cohesive layers, the paper presents a novel data-driven…

Materials Science · Physics 2020-02-19 Zeliang Liu

This paper studies the fast adaptive beamforming for the multiuser multiple-input single-output downlink. Existing deep learning-based approaches assume that training and testing channels follow the same distribution which causes task…

Information Theory · Computer Science 2021-09-21 Juping Zhang , Yi Yuan , Gan Zheng , Ioannis Krikidis , Kai-Kit Wong

The success of deep learning has been due, in no small part, to the availability of large annotated datasets. Thus, a major bottleneck in current learning pipelines is the time-consuming human annotation of data. In scenarios where such…

Machine Learning · Computer Science 2021-01-29 Alona Golts , Daniel Freedman , Michael Elad

Physics-based deep learning frameworks have shown to be effective in accurately modeling the dynamics of complex physical systems with generalization capability across problem inputs. Data-driven networks like GNN, Neural Operators have…

Machine Learning · Computer Science 2024-12-23 Rini Jasmine Gladstone , Hadi Meidani

Deep neural networks are increasingly used in safety-critical domains such as robotics and scientific modeling, where strict adherence to output constraints is essential. Methods like POLICE, which are tailored for single convex regions,…

Machine Learning · Computer Science 2025-05-27 Mohammadmehdi Ataei , Hyunmin Cheong , Adrian Butscher

We present a new deep unfolding network for analysis-sparsity-based Compressed Sensing. The proposed network coined Decoding Network (DECONET) jointly learns a decoder that reconstructs vectors from their incomplete, noisy measurements and…

Information Theory · Computer Science 2023-06-21 Vicky Kouni , Yannis Panagakis

The solution of partial differential equations (PDEs) plays a central role in numerous applications in science and engineering, particularly those involving multiphase flow in porous media. Complex, nonlinear systems govern these problems…

We present HyperFLINT (Hypernetwork-based FLow estimation and temporal INTerpolation), a novel deep learning-based approach for estimating flow fields, temporally interpolating scalar fields, and facilitating parameter space exploration in…

Computer Vision and Pattern Recognition · Computer Science 2025-03-26 Hamid Gadirov , Qi Wu , David Bauer , Kwan-Liu Ma , Jos Roerdink , Steffen Frey

In this paper, we propose a phase shift deep neural network (PhaseDNN), which provides a uniform wideband convergence in approximating high frequency functions and solutions of wave equations. The PhaseDNN makes use of the fact that common…

Machine Learning · Computer Science 2019-12-17 Wei Cai , Xiaoguang Li , Lizuo Liu

Multiscale dynamical systems, modeled by high-dimensional stiff ordinary differential equations (ODEs) with wide-ranging characteristic timescales, arise across diverse fields of science and engineering, but their numerical solvers often…

Numerical Analysis · Mathematics 2025-08-14 Junjie Yao , Yuxiao Yi , Liangkai Hang , Weinan E , Weizong Wang , Yaoyu Zhang , Tianhan Zhang , Zhi-Qin John Xu

Structural optimization is essential for designing safe, efficient, and durable components with minimal material usage. Traditional methods for vibration control often rely on active systems to mitigate unpredictable vibrations, which may…

Computational Physics · Physics 2024-12-31 A. Tollardo , F. Cadini , M. Giglio , L. Lomazzi

Modeling the recovery of interdependent critical infrastructure is a key component of quantifying and optimizing societal resilience to disruptive events. However, simulating the recovery of large-scale interdependent systems under random…

Machine Learning · Computer Science 2022-06-23 Somayajulu L. N. Dhulipala , Ryan C. Hruska

Dynamical systems are found in innumerable forms across the physical and biological sciences, yet all these systems fall naturally into universal equivalence classes: conservative or dissipative, stable or unstable, compressible or…

Machine Learning · Computer Science 2023-02-28 Matthew Ricci , Noa Moriel , Zoe Piran , Mor Nitzan
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