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In this paper, the problem of de-noising of an image contaminated with Additive White Gaussian Noise (AWGN) is studied. This subject is an open problem in signal processing for more than 50 years. Local methods suggested in recent years,…

计算机视觉与模式识别 · 计算机科学 2015-01-07 Hossein Bakhshi Golestani , Mohsen Joneidi , Mostafa Sadeghi

Least absolute shrinkage and selection operator (Lasso), a popular method for high-dimensional regression, is now used widely for estimating high-dimensional time series models such as the vector autoregression (VAR). Selecting its tuning…

统计方法学 · 统计学 2025-12-16 Tathagata Sadhukhan , Ines Wilms , Stephan Smeekes , Sumanta Basu

We study the problem of robust time series analysis under the standard auto-regressive (AR) time series model in the presence of arbitrary outliers. We devise an efficient hard thresholding based algorithm which can obtain a consistent…

机器学习 · 计算机科学 2016-07-04 Kush Bhatia , Prateek Jain , Parameswaran Kamalaruban , Purushottam Kar

This paper deals with the resolution of inverse problems in a periodic setting or, in other terms, the reconstruction of periodic continuous-domain signals from their noisy measurements. We focus on two reconstruction paradigms: variational…

最优化与控制 · 数学 2018-11-14 Anaïs Badoual , Julien Fageot , Michael Unser

This paper presents a novel Bayesian strategy for the estimation of smooth signals corrupted by Gaussian noise. The method assumes a smooth evolution of a succession of continuous signals that can have a numerical or an analytical…

应用统计 · 统计学 2016-02-12 Abderrahim Halimi , Gerald S. Buller , Steve McLaughlin , Paul Honeine

A continuous-time model for the additive white Gaussian noise (AWGN) channel in the presence of white (memoryless) phase noise is proposed and discussed. It is shown that for linear modulation the output of the baud-sampled filter matched…

信息论 · 计算机科学 2014-04-29 Luca Barletta , Gerhard Kramer

We present a new inner-outer iterative algorithm for edge enhancement in imaging problems. At each outer iteration, we formulate a Tikhonov-regularized problem where the penalization is expressed in the 2-norm and involves a regularization…

数值分析 · 数学 2020-12-30 Silvia Gazzola , Misha E. Kilmer , James G. Nagy , Oguz Semerici , Eric L. Miller

Whitening is a classical technique in unsupervised learning that can facilitate estimation tasks by standardizing data. An important application is the estimation of latent variable models via the decomposition of tensors built from…

We present a pixel recursive super resolution model that synthesizes realistic details into images while enhancing their resolution. A low resolution image may correspond to multiple plausible high resolution images, thus modeling the super…

计算机视觉与模式识别 · 计算机科学 2017-03-23 Ryan Dahl , Mohammad Norouzi , Jonathon Shlens

A novel color image enhancement method is proposed based on Retinex to enhance color images under non-uniform illumination or poor visibility conditions. Different from the conventional Retinex algorithms, the Weighted Guided Image Filter…

计算机视觉与模式识别 · 计算机科学 2018-12-27 Qi Mu , Yanyan Wei , Zhanli Li

An optimization problem has been formulated to find a resonant current extremizing various antenna parameters. The method is presented on, but not limited to, particular cases of gain $G$, quality factor $Q$, gain to quality factor ratio…

计算物理 · 物理学 2017-09-01 L. Jelinek , M. Capek

Tikhonov regularization is studied in the case of linear pseudodifferential operator as the forward map and additive white Gaussian noise as the measurement error. The measurement model for an unknown function $u(x)$ is \begin{eqnarray*}…

偏微分方程分析 · 数学 2016-06-03 Hanne Kekkonen , Matti Lassas , Samuli Siltanen

Recently, research on denoising diffusion models has expanded its application to the field of image restoration. Traditional diffusion-based image restoration methods utilize degraded images as conditional input to effectively guide the…

计算机视觉与模式识别 · 计算机科学 2024-10-25 Zhenning Shi , Haoshuai Zheng , Chen Xu , Changsheng Dong , Bin Pan , Xueshuo Xie , Along He , Tao Li , Huazhu Fu

Anomaly detectors address the difficult problem of detecting automatically exceptions in an arbitrary background image. Detection methods have been proposed by the thousands because each problem requires a different background model. By…

计算机视觉与模式识别 · 计算机科学 2019-04-26 Axel Davy , Thibaud Ehret , Jean-Michel Morel , Mauricio Delbracio

A new method is proposed to get image features' geometric information. Using Gaussian as an input signal, a theoretical optimal solution to calculate feature's affine shape is proposed. Based on analytic result of a feature model, the…

计算机视觉与模式识别 · 计算机科学 2015-03-19 Xiaopeng Xu , Xiaochun Zhang

Video super-resolution aims at generating a high-resolution video from its low-resolution counterpart. With the rapid rise of deep learning, many recently proposed video super-resolution methods use convolutional neural networks in…

计算机视觉与模式识别 · 计算机科学 2020-01-07 Xiaohong Liu , Lingshi Kong , Yang Zhou , Jiying Zhao , Jun Chen

We propose an efficient algorithm for sparse signal reconstruction problems. The proposed algorithm is an augmented Lagrangian method based on the dual sparse reconstruction problem. It is efficient when the number of unknown variables is…

机器学习 · 统计学 2010-10-06 Ryota Tomioka , Masashi Sugiyama

Self-supervised blind denoising for Poisson-Gaussian noise remains a challenging task. Pseudo-supervised pairs constructed from single noisy images re-corrupt the signal and degrade the performance. The visible blindspots solve the…

计算机视觉与模式识别 · 计算机科学 2023-03-15 Zejin Wang , Jiazheng Liu , Hao Zhai , Hua Han

We introduce Adaptive Guided Upsampling (AGU), an efficient method for upscaling low-light images capable of optimizing multiple image quality characteristics at the same time, such as reducing noise and increasing sharpness. It is based on…

计算机视觉与模式识别 · 计算机科学 2025-11-21 Angela Vivian Dcosta , Chunbo Song , Rafael Radkowski

Choosing the regularization parameter for inverse problems is of major importance for the performance of the regularization method. We will introduce a fast version of the Lepskij balancing principle and show that it is a valid parameter…

数值分析 · 数学 2010-08-04 Frank Bauer