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Edge-preserving image smoothing is a fundamental procedure for many computer vision and graphic applications. There is a tradeoff between the smoothing quality and the processing speed: the high smoothing quality usually requires a high…

图形学 · 计算机科学 2020-05-19 Wei Liu , Pingping Zhang , Xiaolin Huang , Jie Yang , Chunhua Shen , Ian Reid

Iteratively Re-weighted Least Squares (IRLS) is a method for solving minimization problems involving non-quadratic cost functions, perhaps non-convex and non-smooth, which however can be described as the infimum over a family of quadratic…

数值分析 · 数学 2016-02-24 Massimo Fornasier , Steffen Peter , Holger Rauhut , Stephan Worm

Multi-view mesh reconstruction remains a core challenge in computer graphics and vision, especially for recovering high-frequency geometry from sparse observations. Recent methods such as 3D Gaussian Splatting (3DGS) and Neural Radiance…

计算机视觉与模式识别 · 计算机科学 2026-05-11 Nandhana Sunil , Abhirami R Iyer , Avirup Mandal

Dimensionality reduction plays an important role in computer vision problems since it reduces computational cost and is often capable of yielding more discriminative data representation. In this context, Partial Least Squares (PLS) has…

计算机视觉与模式识别 · 计算机科学 2020-11-11 Artur Jordao , Maiko Lie , Victor Hugo Cunha de Melo , William Robson Schwartz

In this work we present a novel optimization strategy for image reconstruction tasks under analysis-based image regularization, which promotes sparse and/or low-rank solutions in some learned transform domain. We parameterize such…

计算机视觉与模式识别 · 计算机科学 2023-08-11 Iaroslav Koshelev , Stamatios Lefkimmiatis

This work presents a general framework for solving the low rank and/or sparse matrix minimization problems, which may involve multiple non-smooth terms. The Iteratively Reweighted Least Squares (IRLS) method is a fast solver, which smooths…

机器学习 · 计算机科学 2015-06-18 Canyi Lu , Zhouchen Lin , Shuicheng Yan

Given a linear regression setting, Iterative Least Trimmed Squares (ILTS) involves alternating between (a) selecting the subset of samples with lowest current loss, and (b) re-fitting the linear model only on that subset. Both steps are…

机器学习 · 计算机科学 2019-11-13 Yanyao Shen , Sujay Sanghavi

Iteratively reweighted least squares (IRLS) is a widely-used method in machine learning to estimate the parameters in the generalised linear models. In particular, IRLS for L1 minimisation under the linear model provides a closed-form…

密码学与安全 · 计算机科学 2016-05-25 Mijung Park , Max Welling

We introduce a novel optimization algorithm for image recovery under learned sparse and low-rank constraints, which we parameterize as weighted extensions of the $\ell_p^p$-vector and $\mathcal S_p^p$ Schatten-matrix quasi-norms for…

计算机视觉与模式识别 · 计算机科学 2023-04-21 Stamatios Lefkimmiatis , Iaroslav Koshelev

Solving an integer least squares (ILS) problem usually consists of two stages: reduction and search. This thesis is concerned with the reduction process for the ordinary ILS problem and the ellipsoid-constrained ILS problem. For the…

最优化与控制 · 数学 2015-03-17 Mazen Al Borno

Image smoothing is a fundamental image processing operation that preserves the underlying structure, such as strong edges and contours, and removes minor details and textures in an image. Many image smoothing algorithms rely on computing…

计算机视觉与模式识别 · 计算机科学 2026-01-21 Nhat Thanh Tran , Kevin Bui , Jack Xin

In this paper, we propose a novel algorithm for analysis-based sparsity reconstruction. It can solve the generalized problem by structured sparsity regularization with an orthogonal basis and total variation regularization. The proposed…

计算机视觉与模式识别 · 计算机科学 2015-04-29 Chen Chen , Junzhou Huang , Lei He , Hongsheng Li

Problems in differentiable rendering often involve optimizing scene parameters that cause motion in image space. The gradients for such parameters tend to be sparse, leading to poor convergence. While existing methods address this sparsity…

图形学 · 计算机科学 2025-03-31 Ishit Mehta , Manmohan Chandraker , Ravi Ramamoorthi

A low-light image enhancement is a highly demanded image processing technique, especially for consumer digital cameras and cameras on mobile phones. In this paper, a gradient-based low-light image enhancement algorithm is proposed. The key…

计算机视觉与模式识别 · 计算机科学 2018-09-26 Masayuki Tanaka , Takashi Shibata , Masatoshi Okutomi

Iteratively reweighted least square (IRLS) is a popular approach to solve sparsity-enforcing regression problems in machine learning. State of the art approaches are more efficient but typically rely on specific coordinate pruning schemes.…

机器学习 · 统计学 2022-10-03 Clarice Poon , Gabriel Peyré

The iteratively reweighted least squares method (IRLS) is a popular technique used in practice for solving regression problems. Various versions of this method have been proposed, but their theoretical analyses failed to capture the good…

数据结构与算法 · 计算机科学 2019-07-11 Alina Ene , Adrian Vladu

Edge-preserving smoothing (EPS) can be formulated as minimizing an objective function that consists of data and prior terms. This global EPS approach shows better smoothing performance than a local one that typically has a form of weighted…

计算机视觉与模式识别 · 计算机科学 2016-04-27 Youngjung Kim , Dongbo Min , Bumsub Ham , Kwanghoon Sohn

High-resolution images are prevalent in various applications, such as autonomous driving and computer-aided diagnosis. However, training neural networks on such images is computationally challenging and easily leads to out-of-memory errors…

计算机视觉与模式识别 · 计算机科学 2023-03-08 Benjamin Bergner , Christoph Lippert , Aravindh Mahendran

We consider the simultaneous deblurring of a set of noisy images whose point spread functions are different but known and spatially invariant, and the noise is Gaussian. Currently available iterative algorithms that are typically used for…

天体物理学 · 物理学 2009-11-10 R. Vio , J. Nagy , L. Tenorio , W. Wamsteker

The indefinite least squares (ILS) problem is a generalization of the famous linear least squares problem. It minimizes an indefinite quadratic form with respect to a signature matrix. For this problem, we first propose an impressively…

数值分析 · 数学 2022-03-30 Yanjun Zhang , Hanyu Li
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