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Burn injuries present a significant global health challenge. Among the most severe long-term consequences are contractures, which can lead to functional impairments and disfigurement. Understanding and predicting the evolution of post-burn…

数值分析 · 数学 2024-11-25 Selma Husanovic , Ginger Egberts , Alexander Heinlein , Fred Vermolen

Transcranial ultrasound (TUS) has emerged as a promising tool in clinical and research settings due to its potential to modulate neuronal activity, open the blood-brain barrier, facilitate targeted drug delivery via nanoparticles, and…

医学物理 · 物理学 2024-10-29 Kasra Naftchi-Ardebili , Karanpartap Singh , Gerald R. Popelka , Kim Butts Pauly

Deep Operator Networks (DeepONets) and their physics-informed variants have shown significant promise in learning mappings between function spaces of partial differential equations, enhancing the generalization of traditional neural…

机器学习 · 计算机科学 2025-01-08 Milad Ramezankhani , Anirudh Deodhar , Rishi Yash Parekh , Dagnachew Birru

Breast ultrasound (BUS) image segmentation plays a crucial role in a computer-aided diagnosis system, which is regarded as a useful tool to help increase the accuracy of breast cancer diagnosis. Recently, many deep learning methods have…

图像与视频处理 · 电气工程与系统科学 2020-03-24 Zhenyuan Ning , Ke Wang , Shengzhou Zhong , Qianjin Feng , Yu Zhang

Booming deep learning has substantially improved the diagnosis for diverse lesions in ultrasound images, but a conspicuous research gap concerning cervical lymph node lesions still remains. The objective of this work is to diagnose cervical…

图像与视频处理 · 电气工程与系统科学 2023-10-06 Yubiao Yue , Jun Xue , Haihua Liang , Bingchun Luo , Zhenzhang Li

Neural operators have achieved strong performance in learning solution operators of partial differential equations (PDEs), but their inherently continuous representations struggle to capture discontinuities and sharp transitions. Existing…

机器学习 · 计算机科学 2026-05-20 Ha Dang , Sebastian Schmidt , Juergen Hesser

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…

机器学习 · 计算机科学 2025-05-27 Ahmad Peyvan , Varun Kumar , George Em Karniadakis

Unlike classical artificial neural networks, which require retraining for each new set of parametric inputs, the Deep Operator Network (DeepONet), a lately introduced deep learning framework, approximates linear and nonlinear solution…

计算工程、金融与科学 · 计算机科学 2024-03-25 Shashank Kushwaha , Jaewan Park , Seid Koric , Junyan He , Iwona Jasiuk , Diab Abueidda

A new data-driven method for operator learning of stochastic differential equations(SDE) is proposed in this paper. The central goal is to solve forward and inverse stochastic problems more effectively using limited data. Deep operator…

机器学习 · 统计学 2022-04-08 Jiahao Zhang , Shiqi Zhang , Guang Lin

Physics-informed deep operator networks (DeepONets) have emerged as a promising approach toward numerically approximating the solution of partial differential equations (PDEs). In this work, we aim to develop further understanding of what…

机器学习 · 计算机科学 2024-11-28 Emily Williams , Amanda Howard , Brek Meuris , Panos Stinis

In this paper, we introduce a physics and geometry informed neural operator network with application to the forward simulation of acoustic scattering. The development of geometry informed deep learning models capable of learning a solution…

机器学习 · 计算机科学 2024-06-06 Siddharth Nair , Timothy F. Walsh , Greg Pickrell , Fabio Semperlotti

Multiscale modeling is an effective approach for investigating multiphysics systems with largely disparate size features, where models with different resolutions or heterogeneous descriptions are coupled together for predicting the system's…

计算工程、金融与科学 · 计算机科学 2022-12-07 Minglang Yin , Enrui Zhang , Yue Yu , George Em Karniadakis

Ultrasound-based elasticity imaging is a non-invasive technique for estimating tissue stiffness fields from displacement fields obtained by comparing ultrasound signals before and after compression. While recent deep learning approaches…

医学物理 · 物理学 2026-01-22 Heekyu Kim , Hugon LEe , Minwoo Park , Seunghwa Ryu

Solving variational image segmentation problems with hidden physics is often expensive and requires different algorithms and manually tunes model parameter. The deep learning methods based on the U-Net structure have obtained outstanding…

计算机视觉与模式识别 · 计算机科学 2022-11-08 Hui Zhu , Shi Shu , Jianping Zhang

Fast and accurate predictions for complex physical dynamics are a significant challenge across various applications. Real-time prediction on resource-constrained hardware is even more crucial in real-world problems. The deep operator…

机器学习 · 计算机科学 2023-12-27 Jae Yong Lee , Sung Woong Cho , Hyung Ju Hwang

Purpose: In surgical navigation, pre-operative organ models are presented to surgeons during the intervention to help them in efficiently finding their target. In the case of soft tissue, these models need to be deformed and adapted to the…

图形学 · 计算机科学 2019-04-02 Micha Pfeiffer , Carina Riediger , Jürgen Weitz , Stefanie Speidel

Full waveform inversion (FWI) infers the subsurface structure information from seismic waveform data by solving a non-convex optimization problem. Data-driven FWI has been increasingly studied with various neural network architectures to…

机器学习 · 计算机科学 2024-01-17 Min Zhu , Shihang Feng , Youzuo Lin , Lu Lu

We propose a novel fine-tuning method to achieve multi-operator learning through training a distributed neural operator with diverse function data and then zero-shot fine-tuning the neural network using physics-informed losses for…

机器学习 · 计算机科学 2024-11-12 Zecheng Zhang , Christian Moya , Lu Lu , Guang Lin , Hayden Schaeffer

We develop a novel physics informed deep learning approach for solving nonlinear drift-diffusion equations on metric graphs. These models represent an important model class with a large number of applications in areas ranging from transport…

机器学习 · 计算机科学 2025-05-08 Jan Blechschmidt , Tom-Christian Riemer , Max Winkler , Martin Stoll , Jan-F. Pietschmann

FNO and DeepONet are by far the most popular neural operator learning algorithms. FNO seems to enjoy an edge in popularity due to its ease of use, especially with high dimensional data. However, a lesser-acknowledged feature of DeepONet is…

计算物理 · 物理学 2024-01-02 Waleed Diab , Mohammed Al-Kobaisi
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