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Operator learning has emerged as a promising paradigm for developing efficient surrogate models to solve partial differential equations (PDEs). However, existing approaches often overlook the domain knowledge inherent in the underlying PDEs…

Machine Learning · Computer Science 2025-10-20 Ziqian Li , Kang Liu , Yongcun Song , Hangrui Yue , Enrique Zuazua

Deep learning has dramatically improved the performance of sounds recognition. However, learning acoustic models directly from the raw waveform is still challenging. Current waveform-based models generally use time-domain convolutional…

Sound · Computer Science 2018-03-29 Boqing Zhu , Changjian Wang , Feng Liu , Jin Lei , Zengquan Lu , Yuxing Peng

Deep operator networks (DeepONets) are trained to predict the linear amplification of instability waves in high-speed boundary layers and to perform data assimilation. In contrast to traditional networks that approximate functions,…

Fluid Dynamics · Physics 2021-05-19 P. Clark Di Leoni , L. Lu , C. Meneveau , G. Karniadakis , T. A. Zaki

Object segmentation and structure localization are important steps in automated image analysis pipelines for microscopy images. We present a convolution neural network (CNN) based deep learning architecture for segmentation of objects in…

Computer Vision and Pattern Recognition · Computer Science 2019-01-24 Shan E Ahmed Raza , Linda Cheung , Muhammad Shaban , Simon Graham , David Epstein , Stella Pelengaris , Michael Khan , Nasir M. Rajpoot

In the paper, a multi-objective evolutionary surrogate-assisted approach for the fast and effective generative design of coastal breakwaters is proposed. To approximate the computationally expensive objective functions, the deep…

Neural and Evolutionary Computing · Computer Science 2022-10-28 Nikita O. Starodubcev , Nikolay O. Nikitin , Anna V. Kalyuzhnaya

Metasurfaces have shown promising potentials in shaping optical wavefronts while remaining compact compared to bulky geometric optics devices. Design of meta-atoms, the fundamental building blocks of metasurfaces, relies on trial-and-error…

We present an unsupervised 3D shape co-segmentation method which learns a set of deformable part templates from a shape collection. To accommodate structural variations in the collection, our network composes each shape by a selected subset…

Computer Vision and Pattern Recognition · Computer Science 2024-04-29 Zhiqin Chen , Qimin Chen , Hang Zhou , Hao Zhang

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,…

We propose a non-intrusive, Autoencoder-based framework for reduced-order modeling in continuum mechanics. Our method integrates three stages: (i) an unsupervised Autoencoder compresses high-dimensional finite element solutions into a…

Computational Engineering, Finance, and Science · Computer Science 2025-09-03 Jannick Kehls , Ellen Kuhl , Tim Brepols , Kevin Linka , Hagen Holthusen

The existing physical-informed Deep Operator Networks are mostly based on either the well-known mathematical formula of the system or huge amounts of data for different scenarios. However, in some cases, it is difficult to get the exact…

Signal Processing · Electrical Eng. & Systems 2026-02-24 Jieming Sun , Lichun Li

Many material response functions depend strongly on microstructure, such as inhomogeneities in phase or orientation. Homogenization presents the task of predicting the mean response of a sample of the microstructure to external loading for…

Machine Learning · Computer Science 2022-10-04 Reese Jones , Cosmin Safta , Ari Frankel

An image-based deep learning framework is developed in this paper to predict damage and failure in microstructure-dependent composite materials. The work is motivated by the complexity and computational cost of high-fidelity simulations of…

Machine Learning · Computer Science 2022-06-07 Reza Sepasdar , Anuj Karpatne , Maryam Shakiba

Structured illumination (SI) enhances image resolution and contrast by projecting patterned light onto a sample. In two-phase optical-sectioning SI (OS-SI), reduced acquisition time introduces residual artifacts that conventional denoising…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Allison Davis , Yezhi Shen , Xiaoyu Ji , Fengqing Zhu

With the goal of predicting the future rainfall intensity in a local region over a relatively short period time, precipitation nowcasting has been a long-time scientific challenge with great social and economic impact. The radar echo…

Machine Learning · Computer Science 2021-05-07 Bi-Ying Yan , Chao Yang , Feng Chen , Kohei Takeda , Changjun Wang

Deep learning based solutions are being succesfully implemented for a wide variety of applications. Most notably, clinical use-cases have gained an increased interest and have been the main driver behind some of the cutting-edge data-driven…

Image and Video Processing · Electrical Eng. & Systems 2023-04-04 Theodor Cheslerean-Boghiu , Felix C. Hofmann , Manuel Schultheiß , Franz Pfeiffer , Daniela Pfeiffer , Tobias Lasser

The joint optimization of the reconstruction and classification error is a hard non convex problem, especially when a non linear mapping is utilized. In order to overcome this obstacle, a novel optimization strategy is proposed, in which a…

Machine Learning · Computer Science 2022-11-07 Ioannis A. Nellas , Sotiris K. Tasoulis , Vassilis P. Plagianakos , Spiros V. Georgakopoulos

In design, fabrication, and control problems, we are often faced with the task of synthesis, in which we must generate an object or configuration that satisfies a set of constraints while maximizing one or more objective functions. The…

Machine Learning · Computer Science 2021-11-08 Xingyuan Sun , Tianju Xue , Szymon Rusinkiewicz , Ryan P. Adams

Modern power systems require fast and accurate dynamic simulations for stability assessment, digital twins, and real-time control, but classical ODE solvers are often too slow for large-scale or online applications. We propose a…

Systems and Control · Electrical Eng. & Systems 2025-11-10 Ioannis Karampinis , Petros Ellinas , Johanna Vorwerk , Spyros Chatzivasileiadis

The ability to decompose scenes into their object components is a desired property for autonomous agents, allowing them to reason and act in their surroundings. Recently, different methods have been proposed to learn object-centric…

Computer Vision and Pattern Recognition · Computer Science 2022-01-11 Angel Villar-Corrales , Sven Behnke

Deep learning surrogate modeling shows great promise for subsurface flow applications, but the training demands can be substantial. Here we introduce a new surrogate modeling framework to predict CO2 saturation, pressure and surface…

Machine Learning · Computer Science 2024-08-21 Yifu Han , Francois P. Hamon , Louis J. Durlofsky
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