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Physics-informed neural networks (PINNs) have recently emerged as an alternative way of solving partial differential equations (PDEs) without the need of building elaborate grids, instead, using a straightforward implementation. In…

偏微分方程分析 · 数学 2019-09-04 Dongkun Zhang , Lu Lu , Ling Guo , George Em Karniadakis

Interface problems depict many fundamental physical phenomena and widely apply in the engineering. However, it is challenging to develop efficient fully decoupled numerical methods for solving degenerate interface problems in which the…

数值分析 · 数学 2023-06-06 Chen Fan , Zhiyue Zhang

Black-box optimization is a powerful approach for discovering global optima in noisy and expensive black-box functions, a problem widely encountered in real-world scenarios. Recently, there has been a growing interest in leveraging domain…

机器学习 · 计算机科学 2024-02-06 Dat Phan-Trong , Hung The Tran , Alistair Shilton , Sunil Gupta

Deep Neural Networks (DNNs) are well-known to act as over-parameterized deep image priors (DIP) that regularize various image inverse problems. Meanwhile, researchers also proposed extremely compact, under-parameterized image priors (e.g.,…

计算机视觉与模式识别 · 计算机科学 2024-11-01 Qiming Wu , Xiaohan Chen , Yifan Jiang , Zhangyang Wang

Inverse problems arise across scientific and engineering domains, where the goal is to infer hidden parameters or physical fields from indirect and noisy observations. Classical approaches, such as variational regularization and Bayesian…

机器学习 · 统计学 2025-12-03 Ali Mohammad-Djafari , Ning Chu , Li Wang

Image denoising methods must effectively model, implicitly or explicitly, the vast diversity of patterns and textures that occur in natural images. This is challenging, even for modern methods that leverage deep neural networks trained to…

计算机视觉与模式识别 · 计算机科学 2019-12-11 Zhihao Xia , Ayan Chakrabarti

Deep image prior (DIP) is an unsupervised deep learning framework that has been successfully applied to a variety of inverse imaging problems. However, DIP-based methods are inherently prone to overfitting, which leads to performance…

计算机视觉与模式识别 · 计算机科学 2026-04-10 Panagiotis Gkotsis , Athanasios A. Rontogiannis

Post-stack seismic inversion is a widely used technique to retrieve high-resolution acoustic impedance models from migrated seismic data. Its modelling operator assumes that a migrated seismic data can be generated from the convolution of a…

地球物理 · 物理学 2024-01-02 Nick Luiken , Juan Romero , Miguel Corrales , Matteo Ravasi

The lack of large-scale noisy-clean image pairs restricts supervised denoising methods' deployment in actual applications. While existing unsupervised methods are able to learn image denoising without ground-truth clean images, they either…

计算机视觉与模式识别 · 计算机科学 2022-03-23 Yi Zhang , Dasong Li , Ka Lung Law , Xiaogang Wang , Hongwei Qin , Hongsheng Li

Solving nonlinear partial differential equations (PDEs) with multiple solutions using neural networks has found widespread applications in various fields such as physics, biology, and engineering. However, classical neural network methods…

机器学习 · 计算机科学 2024-05-24 Wenrui Hao , Xinliang Liu , Yahong Yang

Deep-unrolling and plug-and-play (PnP) approaches have become the de-facto standard solvers for single-pixel imaging (SPI) inverse problem. PnP approaches, a class of iterative algorithms where regularization is implicitly performed by an…

图像与视频处理 · 电气工程与系统科学 2025-05-30 Ping Wang , Lishun Wang , Gang Qu , Xiaodong Wang , Yulun Zhang , Xin Yuan

Solving inverse problems with Physics-Informed Neural Networks (PINNs) is computationally expensive for multi-query scenarios, as each new set of observed data requires a new, expensive training procedure. We present Inverse-Parameter Basis…

机器学习 · 计算机科学 2025-09-10 Shalev Manor , Mohammad Kohandel

In tree search problem the best-first search algorithm needs too much of space . To remove such drawbacks of these algorithms the IDA* was developed which is both space and time cost efficient. But again IDA* can give an optimal solution…

人工智能 · 计算机科学 2007-05-23 S. Mohanty , R. N. Behera

During the past few years, inverse problem formulations of ultrasound beamforming have attracted a growing interest. They usually pose beamforming as a minimization problem of a fidelity term resulting from the measurement model plus a…

图像与视频处理 · 电气工程与系统科学 2022-08-12 Sobhan Goudarzi , Adrian Basarab , Hassan Rivaz

While implicit feedback is foundational to modern recommender systems, factors such as human error, uncertainty, and ambiguity in user behavior inevitably introduce significant noise into this feedback, adversely affecting the accuracy and…

信息检索 · 计算机科学 2025-02-04 Kaike Zhang , Qi Cao , Yunfan Wu , Fei Sun , Huawei Shen , Xueqi Cheng

Deep neural networks (DNN) have been used to model nonlinear relations between physical quantities. Those DNNs are embedded in physical systems described by partial differential equations (PDE) and trained by minimizing a loss function that…

数值分析 · 数学 2020-02-26 Kailai Xu , Eric Darve

Parameter estimation for differential equations from measured data is an inverse problem prevalent across quantitative sciences. Physics-Informed Neural Networks (PINNs) have emerged as effective tools for solving such problems, especially…

机器学习 · 计算机科学 2025-04-08 Marius Almanstötter , Roman Vetter , Dagmar Iber

Invertible networks have various benefits for image denoising since they are lightweight, information-lossless, and memory-saving during back-propagation. However, applying invertible models to remove noise is challenging because the input…

图像与视频处理 · 电气工程与系统科学 2021-04-22 Yang Liu , Zhenyue Qin , Saeed Anwar , Pan Ji , Dongwoo Kim , Sabrina Caldwell , Tom Gedeon

The usage of digital content (photos and videos) in a variety of applications has increased due to the popularity of multimedia devices. These uses include advertising campaigns, educational resources, and social networking platforms. There…

计算机视觉与模式识别 · 计算机科学 2025-02-11 Muhammad Turab

Imaging inverse problems can be solved in an unsupervised manner using pre-trained diffusion models, but doing so requires approximating the gradient of the measurement-conditional score function in the diffusion reverse process. We show…

计算机视觉与模式识别 · 计算机科学 2025-08-28 Matt C. Bendel , Saurav K. Shastri , Rizwan Ahmad , Philip Schniter