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PET image reconstruction is challenging due to the ill-poseness of the inverse problem and limited number of detected photons. Recently deep neural networks have been widely and successfully used in computer vision tasks and attracted…

计算机视觉与模式识别 · 计算机科学 2017-10-11 Kuang Gong , Jiahui Guan , Kyungsang Kim , Xuezhu Zhang , Georges El Fakhri , Jinyi Qi , Quanzheng Li

Relying on either deep models or physical models are two mainstream approaches for solving inverse sample reconstruction problems in programmable illumination computational microscopy. Solutions based on physical models possess strong…

图像与视频处理 · 电气工程与系统科学 2024-03-21 Ruiqing Sun , Delong Yang , Shaohui Zhang , Qun Hao

Recently, there has been growing interest in developing optimization methods for solving large-scale machine learning problems. Most of these problems boil down to the problem of minimizing an average of a finite set of smooth and strongly…

最优化与控制 · 数学 2018-02-09 Aryan Mokhtari , Mert Gürbüzbalaban , Alejandro Ribeiro

Recently, deep unfolding methods that guide the design of deep neural networks (DNNs) through iterative algorithms have received increasing attention in the field of inverse problems. Unlike general end-to-end DNNs, unfolding methods have…

最优化与控制 · 数学 2022-11-28 Zhuo-Xu Cui , Qingyong Zhu , Jing Cheng , Dong Liang

Various problems in computer vision and medical imaging can be cast as inverse problems. A frequent method for solving inverse problems is the variational approach, which amounts to minimizing an energy composed of a data fidelity term and…

计算机视觉与模式识别 · 计算机科学 2020-06-17 Erich Kobler , Alexander Effland , Karl Kunisch , Thomas Pock

In recent years, large convolutional neural networks have been widely used as tools for image deblurring, because of their ability in restoring images very precisely. It is well known that image deblurring is mathematically modeled as an…

计算机视觉与模式识别 · 计算机科学 2023-06-01 Davide Evangelista , Elena Morotti , Elena Loli Piccolomini , James Nagy

Recently deep neutral networks have achieved promising performance for filling large missing regions in image inpainting tasks. They usually adopted the standard convolutional architecture over the corrupted image, leading to meaningless…

计算机视觉与模式识别 · 计算机科学 2019-09-30 Yuqing Ma , Xianglong Liu , Shihao Bai , Lei Wang , Aishan Liu , Dacheng Tao , Edwin Hancock

Generative diffusion models are becoming one of the most popular prior in image restoration (IR) tasks due to their remarkable ability to generate realistic natural images. Despite achieving satisfactory results, IR methods based on…

计算机视觉与模式识别 · 计算机科学 2025-01-27 Di You , Pier Luigi Dragotti

Multidimensional imaging, capturing image data in more than two dimensions, has been an emerging field with diverse applications. Due to the limitation of two-dimensional detectors in obtaining the high-dimensional image data, computational…

图像与视频处理 · 电气工程与系统科学 2020-06-16 Didem Dogan , Figen S. Oktem

Image augmentation techniques apply transformation functions such as rotation, shearing, or color distortion on an input image. These augmentations were proven useful in improving neural networks' generalization ability. In this paper, we…

计算机视觉与模式识别 · 计算机科学 2021-04-09 Moab Arar , Ariel Shamir , Amit Bermano

The alternating direction method of multipliers (ADMM) algorithm is a powerful and flexible tool for complex optimization problems of the form $\min\{f(x)+g(y) : Ax+By=c\}$. ADMM exhibits robust empirical performance across a range of…

最优化与控制 · 数学 2024-02-08 Rina Foygel Barber , Emil Y. Sidky

Deep-learning-based methods for different applications have been shown vulnerable to adversarial examples. These examples make deployment of such models in safety-critical tasks questionable. Use of deep neural networks as inverse problem…

机器学习 · 计算机科学 2020-02-28 Ankit Raj , Yoram Bresler , Bo Li

Over the last years, deep learning methods have become an increasingly popular choice to solve tasks from the field of inverse problems. Many of these new data-driven methods have produced impressive results, although most only give point…

图像与视频处理 · 电气工程与系统科学 2021-10-28 Alexander Denker , Maximilian Schmidt , Johannes Leuschner , Peter Maass

Model merging is an effective strategy to merge multiple models for enhancing model performances, and more efficient than ensemble learning as it will not introduce extra computation into inference. However, limited research explores if the…

计算机视觉与模式识别 · 计算机科学 2025-05-19 Hu Wang , Ibrahim Almakky , Congbo Ma , Numan Saeed , Mohammad Yaqub

A broad class of problems at the core of computational imaging, sensing, and low-level computer vision reduces to the inverse problem of extracting latent images that follow a prior distribution, from measurements taken under a known…

计算机视觉与模式识别 · 计算机科学 2018-12-20 Steven Diamond , Vincent Sitzmann , Felix Heide , Gordon Wetzstein

Inverse problems in imaging are typically ill-posed and are usually solved by employing regularized optimization techniques. The usage of appropriate constraints can restrict the solution space, thus making it feasible for a reconstruction…

图像与视频处理 · 电气工程与系统科学 2025-11-14 Jasleen Birdi , Tamal Majumder , Debanjan Halder , Muskan Kularia , Kedar Khare

Continuous optimization is an important problem in many areas of AI, including vision, robotics, probabilistic inference, and machine learning. Unfortunately, most real-world optimization problems are nonconvex, causing standard convex…

人工智能 · 计算机科学 2016-11-10 Abram L. Friesen , Pedro Domingos

Fully unsupervised deep generative modeling (FU-DGM) is promising for compressively sampled MRI (CS-MRI) when training data or compute are limited. Classical FU-DGMs such as DIP and INR rely on architectural priors, but the ill-conditioned…

图像与视频处理 · 电气工程与系统科学 2026-03-19 Qingyong Zhu , Yumin Tan , Xiang Gu , Dong Liang

For solving linear inverse problems, particularly of the type that appears in tomographic imaging and compressive sensing, this paper develops two new approaches. The first approach is an iterative algorithm that minimizes a regularized…

信号处理 · 电气工程与系统科学 2023-11-30 Carter Lyons , Raghu G. Raj , Margaret Cheney

In this work, we propose a new paradigm of iterative model-based reconstruction algorithms for providing real-time solution for zooming-in and refining a region of interest in medical and clinical tomographic images. This algorithmic…

图像与视频处理 · 电气工程与系统科学 2025-12-01 Junqi Tang , Guixian Xu , Jinglai Li