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In this work, we consider a class of differentiable criteria for sparse image computing problems, where a nonconvex regularization is applied to an arbitrary linear transform of the target image. As special cases, it includes…

Optimization and Control · Mathematics 2013-08-27 Emilie Chouzenoux , Anna Jezierska , Jean-Christophe Pesquet , Hugues Talbot

Single-photon light detection and ranging (LiDAR) has been widely applied to 3D imaging in challenging scenarios. However, limited signal photon counts and high noises in the collected data have posed great challenges for predicting the…

Image and Video Processing · Electrical Eng. & Systems 2022-06-30 Gongxin Yao , Yiwei Chen , Yong Liu , Xiaomin Hu , Yu Pan

Natural image matting, which separates foreground from background, is a very important intermediate step in recent computer vision algorithms. However, it is severely underconstrained and difficult to solve. State-of-the-art approaches…

Computer Vision and Pattern Recognition · Computer Science 2014-04-16 Philip G. Lee , Ying Wu

The purpose of this paper is to introduce a very efficient algorithm for signal extrapolation. It can widely be used in many applications in image and video communication, e. g. for concealment of block errors caused by transmission errors…

Image and Video Processing · Electrical Eng. & Systems 2022-07-05 Jürgen Seiler , André Kaup

In inverse problems we aim to reconstruct some underlying signal of interest from potentially corrupted and often ill-posed measurements. Classical optimization-based techniques proceed by optimizing a data consistency metric together with…

Image and Video Processing · Electrical Eng. & Systems 2022-10-17 Peimeng Guan , Jihui Jin , Justin Romberg , Mark A. Davenport

The non-destructive readout mode of a detector allows its pixels to be read multiple times during integration, generating a series of "up-the-ramp" images that keep accumulating photons between successive frames. Since the noise is…

Instrumentation and Methods for Astrophysics · Physics 2025-01-16 Guanghuan Wang , Hu Zhan , Zun Luo , Chengqi Liu , Youhua Xu , Chun Lin , Yanfeng Wei , WenLong Fan

In this paper, a novel low-complexity detection algorithm for spatial modulation (SM), referred to as the minimum-distance of maximum-length (m-M) algorithm, is proposed and analyzed. The proposed m-M algorithm is a smart searching method…

Information Theory · Computer Science 2019-07-22 Ibrahim Al-Nahhal , Ertugrul Basar , Octavia A. Dobre , Salama Ikki

Anomalies are samples that significantly deviate from the rest of the data and their detection plays a major role in building machine learning models that can be reliably used in applications such as data-driven design and novelty…

Machine Learning · Statistics 2023-06-19 Amin Yousefpour , Mehdi Shishehbor , Zahra Zanjani Foumani , Ramin Bostanabad

Anomaly detection refers to the task of finding unusual instances that stand out from the normal data. In several applications, these outliers or anomalous instances are of greater interest compared to the normal ones. Specifically in the…

Image and Video Processing · Electrical Eng. & Systems 2020-01-14 Manpreet Singh Minhas , John Zelek

We present an optimization algorithm that can identify a global minimum of a potentially nonconvex smooth function with high probability, assuming the Gibbs measure of the potential satisfies a logarithmic Sobolev inequality. Our…

Optimization and Control · Mathematics 2025-09-16 Daniel Cortild , Claire Delplancke , Nadia Oudjane , Juan Peypouquet

This work explores a novel perspective on solving nonconvex and nonsmooth optimization problems by leveraging sampling based methods. Instead of treating the objective function purely through traditional (often deterministic) optimization…

Optimization and Control · Mathematics 2025-05-21 Nahom Seyoum , Haoxiang You

In this paper we study the statistical properties of Laplacian smoothing, a graph-based approach to nonparametric regression. Under standard regularity conditions, we establish upper bounds on the error of the Laplacian smoothing estimator…

Statistics Theory · Mathematics 2021-06-04 Alden Green , Sivaraman Balakrishnan , Ryan J. Tibshirani

In recent years, there has been a proliferation of wide-field sky surveys to search for a variety of transient objects. Using relatively short focal lengths, the optics of these systems produce undersampled stellar images often marred by a…

Astrophysics · Physics 2009-11-13 Fang Yuan , Carl W. Akerlof

Anomaly detection is a critical task across numerous domains and modalities, yet existing methods are often highly specialized, limiting their generalizability. These specialized models, tailored for specific anomaly types like textural…

Computer Vision and Pattern Recognition · Computer Science 2025-08-11 Zhaopeng Gu , Bingke Zhu , Guibo Zhu , Yingying Chen , Wei Ge , Ming Tang , Jinqiao Wang

This paper introduces a novel anomaly detection framework that combines the robust statistical principles of density-estimation-based anomaly detection methods with the representation-learning capabilities of deep learning models. The…

Machine Learning · Computer Science 2024-08-15 Joseph Gallego-Mejia , Oscar Bustos-Brinez , Fabio A. González

Visibility plays an important role for decision making in cluttered, uncertain environments. This paper considers the problem of identifying optimal hiding spots for an agent against line-of-sight detection by an adversary whose location is…

Optimization and Control · Mathematics 2026-02-02 Neilabh Banzal , Jorge Cortés , Sonia Martínez

Even though image signals are typically acquired on a regular two dimensional grid, there exist many scenarios where non-regular sampling is possible. Non-regular sampling can remove aliasing. In terms of the non-regular sampling patterns,…

Image and Video Processing · Electrical Eng. & Systems 2022-03-02 Simon Grosche , Jürgen Seiler , André Kaup

Low light images captured in a non-uniform illumination environment usually are degraded with the scene depth and the corresponding environment lights. This degradation results in severe object information loss in the degraded image…

Computer Vision and Pattern Recognition · Computer Science 2020-08-03 Xin Xu , Shiqin Wang , Zheng Wang , Xiaolong Zhang , Ruimin Hu

In this paper, we propose a new image denoising method, tailored to specific classes of images, assuming that a dataset of clean images of the same class is available. Similarly to the non-local means (NLM) algorithm, the proposed method…

Computer Vision and Pattern Recognition · Computer Science 2017-06-22 Milad Niknejad , Jose M. Bioucas-Dias , Mario A. T. Figueiredo

Image Phase Alignment Super-sampling (ImPASS) is a computational method for combining displaced low-resolution images into a single high-resolution image. The general steps include measuring the relative displacements, up-sampling, aligning…

Optics · Physics 2026-01-09 James N. Caron
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