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Focusing on implicit neural representations, we present a novel in situ training protocol that employs limited memory buffers of full and sketched data samples, where the sketched data are leveraged to prevent catastrophic forgetting. The…

机器学习 · 计算机科学 2026-04-21 Cooper Simpson , Stephen Becker , Alireza Doostan

Inverse problems lie at the heart of modern imaging science, with broad applications in areas such as medical imaging, remote sensing, and microscopy. Recent years have witnessed a paradigm shift in solving imaging inverse problems, where…

最优化与控制 · 数学 2025-11-20 Hong Ye Tan , Subhadip Mukherjee , Junqi Tang

Plug-and-Play (PnP) algorithms are a class of iterative algorithms that address image inverse problems by combining a physical model and a deep neural network for regularization. Even if they produce impressive image restoration results,…

图像与视频处理 · 电气工程与系统科学 2025-06-12 Marien Renaud , Jean Prost , Arthur Leclaire , Nicolas Papadakis

We introduce a method for fast estimation of data-adapted, spatio-temporally dependent regularization parameter-maps for variational image reconstruction, focusing on total variation (TV)-minimization. Our approach is inspired by recent…

Probabilistic ideas and tools have recently begun to permeate into several fields where they had traditionally not played a major role, including fields such as numerical linear algebra and optimization. One of the key ways in which these…

数值分析 · 数学 2016-12-20 Robert M. Gower

Implicit neural representations (INRs) have demonstrated strong capabilities in various medical imaging tasks, such as denoising, registration, and segmentation, by representing images as continuous functions, allowing complex details to be…

图像与视频处理 · 电气工程与系统科学 2025-03-31 Younès Moussaoui , Diana Mateus , Nasrin Taheri , Saïd Moussaoui , Thomas Carlier , Simon Stute

In this paper, we propose a novel deep convolutional neural network (CNN)-based algorithm for solving ill-posed inverse problems. Regularized iterative algorithms have emerged as the standard approach to ill-posed inverse problems in the…

计算机视觉与模式识别 · 计算机科学 2018-09-11 Kyong Hwan Jin , Michael T. McCann , Emmanuel Froustey , Michael Unser

Plug-and-play (PnP) methods offer an iterative strategy for solving image restoration (IR) problems in a zero-shot manner, using a learned \textit{discriminative denoiser} as the implicit prior. More recently, a sampling-based variant of…

计算机视觉与模式识别 · 计算机科学 2025-03-04 Chong Wang , Lanqing Guo , Zixuan Fu , Siyuan Yang , Hao Cheng , Alex C. Kot , Bihan Wen

Dynamic mode decomposition (DMD) is an emerging methodology that has recently attracted computational scientists working on nonintrusive reduced order modeling. One of the major strengths that DMD possesses is having ground theoretical…

数值分析 · 数学 2022-01-12 Shady E. Ahmed , Omer San , Diana A. Bistrian , Ionel M. Navon

Plug-and-play priors (PnP) is a powerful framework for regularizing imaging inverse problems by using advanced denoisers within an iterative algorithm. Recent experimental evidence suggests that PnP algorithms achieve state-of-the-art…

计算机视觉与模式识别 · 计算机科学 2021-03-25 Yu Sun , Brendt Wohlberg , Ulugbek S. Kamilov

In this work we investigate the practicality of stochastic gradient descent and recently introduced variants with variance-reduction techniques in imaging inverse problems. Such algorithms have been shown in the machine learning literature…

最优化与控制 · 数学 2021-01-26 Junqi Tang , Karen Egiazarian , Mohammad Golbabaee , Mike Davies

Inverse scattering problems, such as those in electromagnetic imaging using phaseless data (PD-ISPs), involve imaging objects using phaseless measurements of wave scattering. Such inverse problems can be highly non-linear and ill-posed…

信号处理 · 电气工程与系统科学 2022-12-07 Samruddhi Deshmukh , Amartansh Dubey , Ross Murch

The earlier works in the context of low-rank-sparse-decomposition (LRSD)-driven stationary synthetic aperture radar (SAR) imaging have shown significant improvement in the reconstruction-decomposition process. Neither of the proposed…

图像与视频处理 · 电气工程与系统科学 2025-12-12 Hamid Reza Hashempour , Majid Moradikia , Hamed Bastami , Ahmed Abdelhadi , Mojtaba Soltanalian

Implicit Neural Representation (INR) is an innovative approach for representing complex shapes or objects without explicitly defining their geometry or surface structure. Instead, INR represents objects as continuous functions. Previous…

计算机视觉与模式识别 · 计算机科学 2024-04-25 Hanqiu Chen , Hang Yang , Stephen Fitzmeyer , Cong Hao

Achieving high-quality Magnetic Resonance Imaging (MRI) reconstruction at accelerated acquisition rates remains challenging due to the inherent ill-posed nature of the inverse problem. Traditional Compressed Sensing (CS) methods, while…

图像与视频处理 · 电气工程与系统科学 2024-11-05 Pierre-Antoine Comby , Benjamin Lapostolle , Matthieu Terris , Philippe Ciuciu

Implicit Neural Representations (INRs) have emerged as promising surrogates for large 3D scientific simulations due to their ability to continuously model spatial and conditional fields, yet they face a critical fidelity-speed dilemma: deep…

机器学习 · 计算机科学 2026-03-25 Tianyu Xiong , Skylar Wurster , Han-Wei Shen

Recently, deep neural networks (DNNs) have shown advantages in accelerating optimization algorithms. One approach is to unfold finite number of iterations of conventional optimization algorithms and to learn parameters in the algorithms.…

机器学习 · 计算机科学 2021-04-23 Byung Hyun Lee , Se Young Chun

Inverse problems appear in many applications, such as image deblurring and inpainting. The common approach to address them is to design a specific algorithm for each problem. The Plug-and-Play (P&P) framework, which has been recently…

计算机视觉与模式识别 · 计算机科学 2018-10-12 Tom Tirer , Raja Giryes

One tough problem of image inpainting is to restore complex structures in the corrupted regions. It motivates interactive image inpainting which leverages additional hints, e.g., sketches, to assist the inpainting process. Sketch is simple…

计算机视觉与模式识别 · 计算机科学 2024-05-21 Chang Liu , Shunxin Xu , Jialun Peng , Kaidong Zhang , Dong Liu

In this paper, we develop a class of block-coordinate Plug-and-Play (PnP) methods to address imaging inverse problems. The block-coordinate strategy is designed to reduce the high memory consumption arising in PnP methods that rely on…

最优化与控制 · 数学 2026-03-03 Federica Porta , Simone Rebegoldi , Andrea Sebastiani