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Underwater image enhancement (UIE) is challenging since image degradation in aquatic environments is complicated and changing over time. Existing mainstream methods rely on either physical-model or data-driven, suffering from performance…

计算机视觉与模式识别 · 计算机科学 2024-01-30 Xiaowen Shi , Yuan-Gen Wang

In this article, we introduce and analyze a deep learning based approximation algorithm for SPDEs. Our approach employs neural networks to approximate the solutions of SPDEs along given realizations of the driving noise process. If applied…

Recent advances in high-resolution imaging techniques and particle-based simulation methods have enabled the precise microscopic characterization of collective dynamics in various biological and engineered active matter systems. In…

软凝聚态物质 · 物理学 2023-02-14 Rohit Supekar , Boya Song , Alasdair Hastewell , Gary P. T. Choi , Alexander Mietke , Jörn Dunkel

Recently, various evolutionary partial differential equations (PDEs) with a mixed derivative have been emerged and drawn much attention. Nonetheless, their PDE-theoretical and numerical studies are still in their early stage. In this paper,…

数值分析 · 数学 2017-12-12 Shun Sato , Takayasu Matsuo

Underwater image enhancement (UIE) has attracted much attention owing to its importance for underwater operation and marine engineering. Motivated by the recent advance in generative models, we propose a novel UIE method based on…

计算机视觉与模式识别 · 计算机科学 2024-07-09 Xingyang Nie , Su Pan , Xiaoyu Zhai , Shifei Tao , Fengzhong Qu , Biao Wang , Huilin Ge , Guojie Xiao

Recent machine learning algorithms dedicated to solving semi-linear PDEs are improved by using different neural network architectures and different parameterizations. These algorithms are compared to a new one that solves a fixed point…

机器学习 · 计算机科学 2018-12-11 Quentin Chan-Wai-Nam , Joseph Mikael , Xavier Warin

This paper develops a probabilistic numerical method for solution of partial differential equations (PDEs) and studies application of that method to PDE-constrained inverse problems. This approach enables the solution of challenging inverse…

统计方法学 · 统计学 2017-07-12 Jon Cockayne , Chris Oates , Tim Sullivan , Mark Girolami

Partial differential equations (PDEs) play a foundational role in modeling physical phenomena. This study addresses the challenging task of determining variable coefficients within PDEs from measurement data. We introduce a novel neural…

数值分析 · 数学 2023-10-17 Ke Chen , Jasen Lai , Chunmei Wang

We propose the superiorization of incremental algorithms for tomographic image reconstruction. The resulting methods follow a better path in its way to finding the optimal solution for the maximum likelihood problem in the sense that they…

最优化与控制 · 数学 2019-04-03 Elias S. Helou , Marcelo V. W. Zibetti , Eduardo X. Miqueles

Underwater image enhancement (UIE) is a highly challenging task due to the complexity of underwater environment and the diversity of underwater image degradation. Due to the application of deep learning, current UIE methods have made…

计算机视觉与模式识别 · 计算机科学 2024-11-19 Yi Liu , Qiuping Jiang , Xinyi Wang , Ting Luo , Jingchun Zhou

Underwater images often suffer from quality degradation due to absorption and scattering effects. Most existing underwater image enhancement algorithms produce a single, fixed-color image, limiting user flexibility and application. To…

计算机视觉与模式识别 · 计算机科学 2024-10-01 Xiaofeng Cong , Jing Zhang , Yeying Jin , Junming Hou , Yu Zhao , Jie Gui , James Tin-Yau Kwok , Yuan Yan Tang

In recent years a large literature on deep learning based methods for the numerical solution partial differential equations has emerged; results for integro-differential equations on the other hand are scarce. In this paper we study deep…

数值分析 · 数学 2021-09-27 Rüdiger Frey , Verena Köck

Underwater image restoration is essential for marine applications ranging from ecological monitoring to archaeological surveys, but effectively addressing the complex and spatially varying nature of underwater degradations remains a…

计算机视觉与模式识别 · 计算机科学 2025-12-09 Shravan Venkatraman , Rakesh Raj Madavan , Pavan Kumar S , Muthu Subash Kavitha

High-precision localization is pivotal in underwater reinspection missions. Traditional localization methods like inertial navigation systems, Doppler velocity loggers, and acoustic positioning face significant challenges and are not…

计算机视觉与模式识别 · 计算机科学 2025-08-26 Luyuan Peng , Hari Vishnu , Mandar Chitre , Yuen Min Too , Bharath Kalyan , Rajat Mishra , Soo Pieng Tan

Underwater images are often affected by light refraction and absorption, reducing visibility and interfering with subsequent applications. Existing underwater image enhancement methods primarily focus on improving visual quality while…

计算机视觉与模式识别 · 计算机科学 2024-12-02 Zengxi Zhang , Zhiying Jiang , Long Ma , Jinyuan Liu , Xin Fan , Risheng Liu

We develop a framework for estimating unknown partial differential equations from noisy data, using a deep learning approach. Given noisy samples of a solution to an unknown PDE, our method interpolates the samples using a neural network,…

机器学习 · 计算机科学 2019-10-24 Ali Hasan , João M. Pereira , Robert Ravier , Sina Farsiu , Vahid Tarokh

Underwater images are typically characterized by color cast, haze, blurring, and uneven illumination due to the selective absorption and scattering when light propagates through the water, which limits their practical applications.…

计算机视觉与模式识别 · 计算机科学 2024-07-23 Yuemei Li , Guojia Hou , Peixian Zhuang , Zhenkuan Pan

Underwater image restoration has been a challenging problem for decades since the advent of underwater photography. Most solutions focus on shallow water scenarios, where the scene is uniformly illuminated by the sunlight. However, the vast…

计算机视觉与模式识别 · 计算机科学 2024-04-26 Yifan Song , Mengkun She , Kevin Köser

Underwater object detection (UOD), aiming to identify and localise the objects in underwater images or videos, presents significant challenges due to the optical distortion, water turbidity, and changing illumination in underwater scenes.…

计算机视觉与模式识别 · 计算机科学 2024-10-10 Long Chen , Yuzhi Huang , Junyu Dong , Qi Xu , Sam Kwong , Huimin Lu , Huchuan Lu , Chongyi Li

A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the solution of a constrained optimization…

机器学习 · 计算机科学 2020-04-03 Ke Li , Kejun Tang , Tianfan Wu , Qifeng Liao