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Image denoising is a well-known and well studied problem, commonly targeting a minimization of the mean squared error (MSE) between the outcome and the original image. Unfortunately, especially for severe noise levels, such Minimum MSE…

Image and Video Processing · Electrical Eng. & Systems 2021-09-01 Bahjat Kawar , Gregory Vaksman , Michael Elad

Low-rank matrix completion is a widely studied problem with many variants. Inductive matrix completion (IMC) incorporates row and column side information to significantly narrow the search space. Prior work falls into two regimes: methods…

Machine Learning · Statistics 2026-05-19 Yuepeng Yang , Cong Ma

Large-scale nonsmooth optimization problems arise in many real-world applications, but obtaining exact function and subgradient values for these problems may be computationally expensive or even infeasible. In many practical settings, only…

Optimization and Control · Mathematics 2026-04-10 Jenni Lampainen , Kaisa Joki , Napsu Karmitsa , Marko M. Mäkelä

This manuscript is a preliminary pre-print version of a journal submission by the authors, revisiting the problem of range measurement based localization of a signal source or a sensor. The major geometric difficulty of the problem comes…

Optimization and Control · Mathematics 2013-10-29 Baris Fidan , Fatma Kiraz

Remote sensing image (RSI) denoising is an important topic in the field of remote sensing. Despite the impressive denoising performance of RSI denoising methods, most current deep learning-based approaches function as black boxes and lack…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Jingjing Liu , Jiashun Jin , Xianchao Xiu , Jianhua Zhang , Wanquan Liu

In this paper, we study the convergence of an interior subgradient and proximal methods for a DC (difference of convex functions) constrained minimization problem.

Optimization and Control · Mathematics 2020-03-10 V. L. Sousa Junior

Recently, convolutional neural network (CNN)-based methods are proposed for hyperspectral images (HSIs) denoising. Among them, unsupervised methods such as the deep image prior (DIP) have received much attention because these methods do not…

Computer Vision and Pattern Recognition · Computer Science 2021-06-11 Yi-Si Luo , Xi-Le Zhao , Tai-Xiang Jiang , Yu-Bang Zheng , Yi Chang

The quality of images captured by wireless capsule endoscopy (WCE) is key for doctors to diagnose diseases of gastrointestinal (GI) tract. However, there exist many low-quality endoscopic images due to the limited illumination and complex…

Image and Video Processing · Electrical Eng. & Systems 2020-03-17 Shaofeng Zou , Mingzhu Long , Xuyang Wang , Xiang Xie , Guolin Li , Zhihua Wang

We propose a novel hyperspectral (HS) anomaly detection method that is robust to various types of noise. Most existing HS anomaly detection methods are designed without explicit consideration of noise or are based on the assumption of…

Image and Video Processing · Electrical Eng. & Systems 2026-02-04 Koyo Sato , Shunsuke Ono

Since high resolution remote sensing image classification often requires a relatively high computation complexity, lightweight models tend to be practical and efficient. Model pruning is an effective method for model compression. However,…

Computer Vision and Pattern Recognition · Computer Science 2024-12-20 Guangwenjie Zou , Liang Yao , Fan Liu , Chuanyi Zhang , Xin Li , Ning Chen , Shengxiang Xu , Jun Zhou

So far, the problem of unmixing large or multitemporal hyperspectral datasets has been specifically addressed in the remote sensing literature only by a few dedicated strategies. Among them, some attempts have been made within a distributed…

Image and Video Processing · Electrical Eng. & Systems 2018-10-22 Pierre-Antoine Thouvenin , Nicolas Dobigeon , Jean-Yves Tourneret

Weakly supervised learning based on scribble annotations in target extraction of remote sensing images has drawn much interest due to scribbles' flexibility in denoting winding objects and low cost of manually labeling. However, scribbles…

Computer Vision and Pattern Recognition · Computer Science 2023-05-19 Yitong Li , Chang Liu , Jie Ma

In this paper, we study the missing sample recovery problem using methods based on sparse approximation. In this regard, we investigate the algorithms used for solving the inverse problem associated with the restoration of missed samples of…

Machine Learning · Statistics 2017-06-29 Amirhossein Javaheri , Hadi Zayyani , Farokh Marvasti

The network localization problem with convex and non-convex distance constraints may be modeled as a nonlinear optimization problem. The existing localization techniques are mainly based on convex optimization. In those techniques, the…

Optimization and Control · Mathematics 2017-11-21 Ananya Saha , Buddhadeb Sau

In this paper, we propose a Bayesian MAP estimator for solving the deconvolution problems when the observations are corrupted by Poisson noise. Towards this goal, a proper data fidelity term (log-likelihood) is introduced to reflect the…

Applications · Statistics 2011-03-14 François-Xavier Dupé , Jalal Fadili , Jean-Luc Starck

We propose an image deconvolution algorithm when the data is contaminated by Poisson noise. The image to restore is assumed to be sparsely represented in a dictionary of waveforms such as the wavelet or curvelet transform. Our key…

Optimization and Control · Mathematics 2008-03-25 François-Xavier Dupé , Jalal Fadili , Jean Luc Starck

Deep spectral methods reframe the image decomposition process as a graph partitioning task by extracting features using self-supervised learning and utilizing the Laplacian of the affinity matrix to obtain eigensegments. However, instance…

Computer Vision and Pattern Recognition · Computer Science 2024-08-27 Farnoosh Arefi , Amir M. Mansourian , Shohreh Kasaei

In this paper, we propose clipping noise cancellation scheme using compressed sensing (CS) for orthogonal frequency division multiplexing (OFDM) systems. In the proposed scheme, only the data tones with high reliability are exploited in…

Information Theory · Computer Science 2011-12-09 Kee-Hoon Kim , Hosung Park , Jong-Seon No , Habong Chung

In this work we introduce a novel stochastic algorithm dubbed SNIPS, which draws samples from the posterior distribution of any linear inverse problem, where the observation is assumed to be contaminated by additive white Gaussian noise.…

Image and Video Processing · Electrical Eng. & Systems 2021-11-11 Bahjat Kawar , Gregory Vaksman , Michael Elad

We propose a proximal variable smoothing algorithm for a nonsmooth optimization problem whose cost function is the sum of three functions including a weakly convex composite function. The proposed algorithm has a single-loop structure…

Optimization and Control · Mathematics 2025-06-09 Keita Kume , Isao Yamada