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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

The memory consumption of most Convolutional Neural Network (CNN) architectures grows rapidly with increasing depth of the network, which is a major constraint for efficient network training on modern GPUs with limited memory, embedded…

计算机视觉与模式识别 · 计算机科学 2021-02-10 Bochen Guan , Jinnian Zhang , William A. Sethares , Richard Kijowski , Fang Liu

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

This paper explores three different strategies for the inversion of spectral lines (and their Stokes profiles) using artificial neural networks. It is shown that a straightforward approach in which the network is trained with synthetic…

天体物理学 · 物理学 2009-11-10 H. Socas-Navarro

Neural operators for time-dependent PDEs face a structural tension: spectral architectures (FNO and descendants) inherit exponential rollout-error growth from their one-step Lipschitz constant, while hierarchical U-Net operators trade…

Hyperspectral image (HSI) denoising is a crucial preprocessing procedure for the subsequent HSI applications. Unfortunately, though witnessing the development of deep learning in HSI denoising area, existing convolution-based methods face…

计算机视觉与模式识别 · 计算机科学 2022-11-28 Miaoyu Li , Ying Fu , Yulun Zhang

It has been shown that perfectly trained networks exhibit drastic reduction in performance when presented with distorted images. Streaming Network (STNet) is a novel architecture capable of robust classification of the distorted images…

计算机视觉与模式识别 · 计算机科学 2020-06-23 Sergey Tarasenko

The deep operator networks (DeepONet), a class of neural operators that learn mappings between function spaces, have recently been developed as surrogate models for parametric partial differential equations (PDEs). In this work we propose a…

机器学习 · 计算机科学 2024-10-31 Yuan Qiu , Nolan Bridges , Peng Chen

Recent studies shows that the majority of existing deep steganalysis models have a large amount of redundancy, which leads to a huge waste of storage and computing resources. The existing model compression method cannot flexibly compress…

计算机视觉与模式识别 · 计算机科学 2022-06-14 Shunquan Tan , Qiushi Li , Laiyuan Li , Bin Li , Jiwu Huang

Low-light image enhancement aims to restore the visibility of images captured by visual sensors in dim environments by addressing their inherent signal degradations, such as luminance attenuation and structural corruption. Although numerous…

计算机视觉与模式识别 · 计算机科学 2026-03-18 Yicui Shi , Yuhan Chen , Xiangfei Huang , Zhenguo Wang , Wenxuan Yu , Ying Fang

Deep neural networks (DNNs) recently emerged as a promising tool for analyzing and solving complex differential equations arising in science and engineering applications. Alternative to traditional numerical schemes, learning-based solvers…

数值分析 · 数学 2023-08-09 Yuan Lan , Zhen Li , Jie Sun , Yang Xiang

Eigenvalue problems for elliptic operators play an important role in science and engineering applications, where efficient and accurate numerical computation is essential. In this work, we propose a novel operator inference approach for…

数值分析 · 数学 2025-04-23 Haoqian Li , Jiguang Sun , Zhiwen Zhang

Recently, deep learning has been successfully applied to the single-image super-resolution (SISR) with remarkable performance. However, most existing methods focus on building a more complex network with a large number of layers, which can…

计算机视觉与模式识别 · 计算机科学 2022-04-20 Wenbin Zou , Tian Ye , Weixin Zheng , Yunchen Zhang , Liang Chen , Yi Wu

Deep operator network (DeepONet) has demonstrated great success in various learning tasks, including learning solution operators of partial differential equations. In particular, it provides an efficient approach to predict the evolution…

机器学习 · 计算机科学 2022-12-12 Wuzhe Xu , Yulong Lu , Li Wang

Spectral graph neural networks (GNNs) learn graph representations via spectral-domain graph convolutions. However, most existing spectral graph filters are scalar-to-scalar functions, i.e., mapping a single eigenvalue to a single filtered…

机器学习 · 计算机科学 2023-03-03 Deyu Bo , Chuan Shi , Lele Wang , Renjie Liao

Hyperparameter optimization of neural networks can be elegantly formulated as a bilevel optimization problem. While research on bilevel optimization of neural networks has been dominated by implicit differentiation and unrolling,…

机器学习 · 计算机科学 2020-10-27 Juhan Bae , Roger Grosse

We propose a randomized neural network approach called RaNNDy for learning transfer operators and their spectral decompositions from data. The weights of the hidden layers of the neural network are randomly selected and only the output…

机器学习 · 计算机科学 2025-09-25 Mohammad Tabish , Benedict Leimkuhler , Stefan Klus

In the study of condensed matter physics, spectral information plays an important role for understand the mechanism of materials. However, it is difficult to obtain the spectrum directly through experiments or simulation. For example, the…

计算物理 · 物理学 2022-12-23 Haidong Xie , Xueshuang Xiang , Yuanqing Chen

Hyperspectral Imaging is a crucial tool in remote sensing which captures far more spectral information than standard color images. However, the increase in spectral information comes at the cost of spatial resolution. Super-resolution is a…

图像与视频处理 · 电气工程与系统科学 2023-10-26 Alexander Ulrichsen , Paul Murray , Stephen Marshall , Moncef Gabbouj , Serkan Kiranyaz , Mehmet Yamac , Nour Aburaed

Visual attention modeling has recently gained momentum in developing visual hierarchies provided by Convolutional Neural Networks. Despite recent successes of feedforward processing on the abstraction of concepts form raw images, the…

计算机视觉与模式识别 · 计算机科学 2017-08-23 Mahdi Biparva , John Tsotsos