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Implicit neural representations (INRs) have emerged as a powerful tool for solving inverse problems in computer vision and computational imaging. INRs represent images as continuous domain functions realized by a neural network taking…

图像与视频处理 · 电气工程与系统科学 2025-06-12 Mahrokh Najaf , Gregory Ongie

The explicit low-rank regularization, e.g., nuclear norm regularization, has been widely used in imaging sciences. However, it has been found that implicit regularization outperforms explicit ones in various image processing tasks. Another…

计算机视觉与模式识别 · 计算机科学 2023-03-30 Zhemin Li , Tao Sun , Hongxia Wang , Bao Wang

Adversarial representation learning aims to learn data representations for a target task while removing unwanted sensitive information at the same time. Existing methods learn model parameters iteratively through stochastic gradient…

机器学习 · 计算机科学 2021-09-14 Bashir Sadeghi , Lan Wang , Vishnu Naresh Boddeti

Compressive sensing (CS) has proved effective for tomographic reconstruction from sparsely collected data or under-sampled measurements, which are practically important for few-view CT, tomosynthesis, interior tomography, and so on. To…

医学物理 · 物理学 2018-02-13 Hu Chen , Yi Zhang , Yunjin Chen , Junfeng Zhang , Weihua Zhang , Huaiqiaing Sun , Yang Lv , Peixi Liao , Jiliu Zhou , Ge Wang

There has been tremendous research on the design of image regularizers over the years, from simple Tikhonov and Laplacian to sophisticated sparsity and CNN-based regularizers. Coupled with a model-based loss function, these are typically…

图像与视频处理 · 电气工程与系统科学 2022-10-26 Pravin Nair , Kunal N. Chaudhury

In recent literature there are plenty of works that combine handcrafted and learnable regularizers to solve inverse imaging problems. While this hybrid approach has demonstrated promising results, the motivation for combining handcrafted…

计算机视觉与模式识别 · 计算机科学 2025-05-23 Alexandros Gkillas , Dimitris Ampeliotis , Kostas Berberidis

It's well-known that inverse problems are ill-posed and to solve them meaningfully one has to employ regularization methods. Traditionally, popular regularization methods have been the penalized Variational approaches. In recent years, the…

机器学习 · 计算机科学 2022-02-17 Abinash Nayak

Conventional algorithms for sparse signal recovery and sparse representation rely on $l_1$-norm regularized variational methods. However, when applied to the reconstruction of $\textit{sparse images}$, i.e., images where only a few pixels…

计算机视觉与模式识别 · 计算机科学 2016-05-09 Sohil Shah , Tom Goldstein , Christoph Studer

We propose an input convex neural network (ICNN)-based self-supervised learning framework to solve continuous constrained optimization problems. By integrating the augmented Lagrangian method (ALM) with the constraint correction mechanism,…

最优化与控制 · 数学 2025-05-08 Kang Liu , Wei Peng , Jianchen Hu

In this paper we present a generalized Deep Learning-based approach for solving ill-posed large-scale inverse problems occuring in medical image reconstruction. Recently, Deep Learning methods using iterative neural networks and cascaded…

图像与视频处理 · 电气工程与系统科学 2020-08-26 Andreas Kofler , Markus Haltmeier , Tobias Schaeffter , Marc Kachelrieß , Marc Dewey , Christian Wald , Christoph Kolbitsch

Recent developments in deep learning have revolutionized the paradigm of image restoration. However, its applications on real image denoising are still limited, due to its sensitivity to training data and the complex nature of real image…

计算机视觉与模式识别 · 计算机科学 2019-05-06 Jin Zeng , Jiahao Pang , Wenxiu Sun , Gene Cheung

Regularization-based approaches for injecting constraints in Machine Learning (ML) were introduced to improve a predictive model via expert knowledge. We tackle the issue of finding the right balance between the loss (the accuracy of the…

机器学习 · 计算机科学 2020-05-22 Michele Lombardi , Federico Baldo , Andrea Borghesi , Michela Milano

Limited-angle computerized tomography stands for one of the most difficult challenges in imaging. Although it opens the way to faster data acquisition in industry and less dangerous scans in medicine, standard approaches, such as the…

图像与视频处理 · 电气工程与系统科学 2025-10-07 Bernadette Hahn , Gael Rigaud , Richard Schmähl

Learning representations unaffected by superficial characteristics is important to ensure that shifts in these characteristics at test time do not compromise downstream prediction performance. For instance, in healthcare applications, we…

机器学习 · 计算机科学 2025-07-28 Minghui Sun , Benjamin A. Goldstein , Matthew M. Engelhard

In the past five years, deep learning methods have become state-of-the-art in solving various inverse problems. Before such approaches can find application in safety-critical fields, a verification of their reliability appears mandatory.…

机器学习 · 计算机科学 2023-01-18 Martin Genzel , Jan Macdonald , Maximilian März

A variational model for learning convolutional image atoms from corrupted and/or incomplete data is introduced and analyzed both in function space and numerically. Building on lifting and relaxation strategies, the proposed approach is…

最优化与控制 · 数学 2018-12-10 Antonin Chambolle , Martin Holler Thomas Pock

Latent feature representation methods play an important role in the dimension reduction and statistical modeling of high-dimensional complex data objects. However, existing approaches to assess the quality of these methods often rely on…

统计方法学 · 统计学 2025-02-12 Emma Zohner , Edward Gunning , Giles Hooker , Jeffrey Morris

In this paper we the formulation of inverse problems as constrained minimization problems and their iterative solution by gradient or Newton type. We carry out a convergence analysis in the sense of regularization methods and discuss…

数值分析 · 数学 2021-01-15 Barbara Kaltenbacher , Kha Van Huynh

Computed Tomography (CT) is pivotal in industrial quality control and medical diagnostics. Sparse-view CT, offering reduced ionizing radiation, faces challenges due to its under-sampled nature, leading to ill-posed reconstruction problems.…

计算机视觉与模式识别 · 计算机科学 2024-11-06 Jiayang Shi , Junyi Zhu , Daniel M. Pelt , K. Joost Batenburg , Matthew B. Blaschko

With this work, we release CLAIRE, a distributed-memory implementation of an effective solver for constrained large deformation diffeomorphic image registration problems in three dimensions. We consider an optimal control formulation. We…

最优化与控制 · 数学 2020-09-01 Andreas Mang , Amir Gholami , Christos Davatzikos , George Biros