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We present a variational multi-label segmentation algorithm based on a robust Huber loss for both the data and the regularizer, minimized within a convex optimization framework. We introduce a novel constraint on the common areas, to bias…

计算机视觉与模式识别 · 计算机科学 2017-02-28 Byung-Woo Hong , Ja-Keoung Koo , Stefano Soatto

This paper presents a variational based approach to fusing hyperspectral and multispectral images. The fusion process is formulated as an inverse problem whose solution is the target image assumed to live in a much lower dimensional…

计算机视觉与模式识别 · 计算机科学 2023-07-19 Qi Wei , José Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

In this work, we consider constrained stochastic optimization problems under hidden convexity, i.e., those that admit a convex reformulation via non-linear (but invertible) map $c(\cdot)$. A number of non-convex problems ranging from…

最优化与控制 · 数学 2024-11-12 Ilyas Fatkhullin , Niao He , Yifan Hu

Sparse decomposition has been widely used for different applications, such as source separation, image classification, image denoising and more. This paper presents a new algorithm for segmentation of an image into background and foreground…

计算机视觉与模式识别 · 计算机科学 2016-07-28 Shervin Minaee , Yao Wang

Recently, tensor data (or multidimensional array) have been generated in many modern applications, such as functional magnetic resonance imaging (fMRI) in neuroscience and videos in video analysis. Many efforts are made in recent years to…

机器学习 · 计算机科学 2023-08-10 Jiaqi Zhang , Yinghao Cai , Zhaoyang Wang , Beilun Wang

Introducing explicit constraints on the structural predictions has been an effective way to improve the performance of semantic segmentation models. Existing methods are mainly based on insufficient hand-crafted rules that only partially…

计算机视觉与模式识别 · 计算机科学 2019-07-30 Boxi Wu , Shuai Zhao , Wenqing Chu , Zheng Yang , Deng Cai

In a recent article series, the authors have promoted convex optimization algorithms for radio-interferometric imaging in the framework of compressed sensing, which leverages sparsity regularization priors for the associated inverse problem…

天体物理仪器与方法 · 物理学 2014-04-01 Rafael E. Carrillo , Jason D. McEwen , Yves Wiaux

Imaging beyond the diffraction limit barrier has attracted wide attention due to the ability to resolve image features that were previously hidden. Of the various super-resolution microscopy techniques available, a particularly simple…

Optimization problems with convex quadratic cost and polyhedral constraints are ubiquitous in signal processing, automatic control and decision-making. We consider here an enlarged problem class that allows to encode logical conditions and…

最优化与控制 · 数学 2026-04-09 Alberto De Marchi

Demixing problems in many areas such as hyperspectral imaging and differential optical absorption spectroscopy (DOAS) often require finding sparse nonnegative linear combinations of dictionary elements that match observed data. We show how…

机器学习 · 统计学 2013-01-04 Ernie Esser , Yifei Lou , Jack Xin

The problem of partitioning a large and sparse tensor is considered, where the tensor consists of a sequence of adjacency matrices. Theory is developed that is a generalization of spectral graph partitioning. A best rank-$(2,2,\lambda)$…

数值分析 · 数学 2020-12-17 Lars Eldén , Maryam Dehghan

Recent Reference-Based image super-resolution (RefSR) has improved SOTA deep methods introducing attention mechanisms to enhance low-resolution images by transferring high-resolution textures from a reference high-resolution image. The main…

计算机视觉与模式识别 · 计算机科学 2023-10-03 Esteban Reyes-Saldana , Mariano Rivera

We propose a new algorithm for the fast solution of large, sparse, symmetric positive-definite linear systems, spaND -- sparsified Nested Dissection. It is based on nested dissection, sparsification and low-rank compression. After…

This paper aims at developing a clustering approach with spectral images directly from the compressive measurements of coded aperture snapshot spectral imager (CASSI). Assuming that compressed measurements often lie approximately in low…

图像与视频处理 · 电气工程与系统科学 2020-09-30 Jianchen Zhu

We consider stochastic gradient methods under the interpolation regime where a perfect fit can be obtained (minimum loss at each observation). While previous work highlighted the implicit regularization of such algorithms, we consider an…

最优化与控制 · 数学 2020-04-01 Anant Raj , Francis Bach

In this paper, we propose an optimally structured gradient coding scheme to mitigate the straggler problem in distributed learning. Conventional gradient coding methods often assume homogeneous straggler models or rely on excessive data…

系统与控制 · 电气工程与系统科学 2025-10-28 Heekang Song , Wan Choi

In this article we give our contribution to the problem of segmentation with plug-in procedures. We give general sufficient conditions under which plug in procedure are efficient. We also give an algorithm that satisfy these conditions. We…

机器学习 · 统计学 2010-02-22 R. Girard

Convolutional neural networks (CNNs) show outstanding performance in many image processing problems, such as image recognition, object detection and image segmentation. Semantic segmentation is a very challenging task that requires…

计算机视觉与模式识别 · 计算机科学 2019-07-12 Fan Jia , Jun Liu , Xue-cheng Tai

In this work, we propose a novel procedure for video super-resolution, that is the recovery of a sequence of high-resolution images from its low-resolution counterpart. Our approach is based on a "sequential" model (i.e., each…

计算机视觉与模式识别 · 计算机科学 2016-02-16 Patrick Héas , Angélique Drémeau , Cédric Herzet

This paper focuses on stochastic proximal gradient methods for optimizing a smooth non-convex loss function with a non-smooth non-convex regularizer and convex constraints. To the best of our knowledge we present the first non-asymptotic…

最优化与控制 · 数学 2019-05-27 Michael R. Metel , Akiko Takeda