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Matrix-valued optimization tasks, including those involving symmetric positive definite (SPD) matrices, arise in a wide range of applications in machine learning, data science and statistics. Classically, such problems are solved via…

最优化与控制 · 数学 2024-10-15 Andrew Cheng , Melanie Weber

We propose a proximal approach to deal with a class of convex variational problems involving nonlinear constraints. A large family of constraints, proven to be effective in the solution of inverse problems, can be expressed as the lower…

数值分析 · 计算机科学 2014-03-21 Giovanni Chierchia , Nelly Pustelnik , Jean-Christophe Pesquet , Béatrice Pesquet-Popescu

The paper proposes a new high spatial resolution hyperspectral (HR-HS) image estimation method based on convex optimization. The method assumes a low spatial resolution HS (LR-HS) image and a guide image as observations, where both…

图像与视频处理 · 电气工程与系统科学 2023-02-08 Saori Takeyama , Shunsuke Ono

We develop a decomposition method based on the augmented Lagrangian framework to solve a broad family of semidefinite programming problems, possibly with nonlinear objective functions, nonsmooth regularization, and general linear…

最优化与控制 · 数学 2023-03-08 Yifei Wang , Kangkang Deng , Haoyang Liu , Zaiwen Wen

This paper presents a new Bayesian estimation technique for hidden Potts-Markov random fields with unknown regularisation parameters, with application to fast unsupervised K-class image segmentation. The technique is derived by first…

统计计算 · 统计学 2016-02-03 Marcelo Pereyra , Steve McLaughlin

Accurate medical image segmentation is of utmost importance for enabling automated clinical decision procedures. However, prevailing supervised deep learning approaches for medical image segmentation encounter significant challenges due to…

计算机视觉与模式识别 · 计算机科学 2023-09-04 Sanaz Karimijafarbigloo , Reza Azad , Amirhossein Kazerouni , Yury Velichko , Ulas Bagci , Dorit Merhof

Spectral unmixing (SU) is a technique to characterize mixed pixels in hyperspectral images measured by remote sensors. Most of the spectral unmixing algorithms are developed using the linear mixing models. To estimate endmembers and…

计算机视觉与模式识别 · 计算机科学 2019-02-21 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

In this paper we present a fast and efficient method for the reconstruction of Magnetic Resonance Images (MRI) from severely under-sampled data. From the Compressed Sensing theory we have mathematically modeled the problem as a constrained…

数值分析 · 计算机科学 2017-12-01 Damiana Lazzaro , Elena Loli Piccolomini , Fabiana Zama

Automated segmentation approaches are crucial to quantitatively analyze large-scale 3D microscopy images. Particularly in deep tissue regions, automatic methods still fail to provide error-free segmentations. To improve the segmentation…

计算机视觉与模式识别 · 计算机科学 2017-10-19 Johannes Stegmaier , Thiago V. Spina , Alexandre X. Falcão , Andreas Bartschat , Ralf Mikut , Elliot Meyerowitz , Alexandre Cunha

Structured sparse optimization is an important and challenging problem for analyzing high-dimensional data in a variety of applications such as bioinformatics, medical imaging, social networks, and astronomy. Although a number of structured…

人工智能 · 计算机科学 2016-10-03 Baojian Zhou , Feng Chen

Subspace segmentation assumes that data comes from the union of different subspaces and the purpose of segmentation is to partition the data into the corresponding subspace. Low-rank representation (LRR) is a classic spectral-type method…

机器学习 · 计算机科学 2020-07-15 Xishun Wang , Zhouwang Yang , Xingye Yue , Hui Wang

This paper proposes an efficient hypergraph partitioning framework based on a novel multi-objective non-convex constrained relaxation model. A modified accelerated proximal gradient algorithm is employed to generate diverse $k$-dimensional…

机器学习 · 计算机科学 2025-09-29 Yingying Li , Mingxuan Xie , Hailong You , Yongqiang Yao , Hongwei Liu

This paper addresses the challenge of spectral-spatial feature extraction for hyperspectral image classification by introducing a novel tensor-based framework. The proposed approach incorporates circular convolution into a tensor structure…

计算机视觉与模式识别 · 计算机科学 2024-12-10 Yuemei Ren , Liang Liao , Stephen John Maybank , Yanning Zhang , Xin Liu

This paper studies a class of double-loop (inner-outer) algorithms for convex composite optimization. For unconstrained problems, we develop a restarted accelerated composite gradient method that attains the optimal first-order complexity…

最优化与控制 · 数学 2026-02-23 Matthew X. Burns , Jiaming Liang

Low-rank learning has attracted much attention recently due to its efficacy in a rich variety of real-world tasks, e.g., subspace segmentation and image categorization. Most low-rank methods are incapable of capturing low-dimensional…

计算机视觉与模式识别 · 计算机科学 2016-11-16 Ping Li , Jun Yu , Meng Wang , Luming Zhang , Deng Cai , Xuelong Li

High-resolution segmentation is critical for precise disease diagnosis by extracting fine-grained morphological details. Existing hierarchical encoder-decoder frameworks have demonstrated remarkable adaptability across diverse medical…

图像与视频处理 · 电气工程与系统科学 2025-07-22 Qing Xu , Zhenye Lou , Chenxin Li , Yue Li , Xiangjian He , Tesema Fiseha Berhanu , Rong Qu , Wenting Duan , Zhen Chen

We introduce a new spectral method for image segmentation that incorporates long range relationships for global appearance modeling. The approach combines two different graphs, one is a sparse graph that captures spatial relationships…

计算机视觉与模式识别 · 计算机科学 2022-10-10 Jeova F. S. Rocha Neto , Pedro F. Felzenszwalb

We propose a simple yet effective model for Single Image Super-Resolution (SISR), by combining the merits of Residual Learning and Convolutional Sparse Coding (RL-CSC). Our model is inspired by the Learned Iterative Shrinkage-Threshold…

计算机视觉与模式识别 · 计算机科学 2019-01-01 Menglei Zhang , Zhou Liu , Lei Yu

Multiplicative noise (also known as speckle noise) models are central to the study of coherent imaging systems, such as synthetic aperture radar and sonar, and ultrasound and laser imaging. These models introduce two additional layers of…

最优化与控制 · 数学 2015-05-14 José M. Bioucas-Dias , Mário A. T. Figueiredo

Hyperspectral Unmixing (HU) has received increasing attention in the past decades due to its ability of unveiling information latent in hyperspectral data. Unfortunately, most existing methods fail to take advantage of the spatial…

计算机视觉与模式识别 · 计算机科学 2014-07-14 Feiyun Zhu , Ying Wang , Shiming Xiang , Bin Fan , Chunhong Pan
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