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相关论文: Distributed Unmixing of Hyperspectral Data With Sp…

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In this paper, we apply the Feature Space Decomposition (FSD) method developed in [LS24, GLS25, LSSW26, ALSS26] to obtain, under fairly general conditions, matching upper and lower bounds for the population excess risk of spectral methods…

统计理论 · 数学 2026-05-18 Guillaume Lecué , Zhifan Li , Zong Shang

This work addresses the recovery and demixing problem of signals that are sparse in some general dictionary. Involved applications include source separation, image inpainting, super-resolution, and restoration of signals corrupted by…

信息论 · 计算机科学 2017-03-24 Fei Wen , Lasith Adhikari , Ling Pei , Roummel F. Marcia , Peilin Liu , Robert C. Qiu

Given a hyperspectral image, the problem of hyperspectral unmixing (HU) is to identify the endmembers (or materials) and the abundance (or endmembers' contributions on pixels) that underlie the image. HU can be seen as a matrix…

信号处理 · 电气工程与系统科学 2024-03-12 Junbin Liu , Yuening Li , Wing-Kin Ma

Hyperspectral unmixing (HU) is crucial for analyzing hyperspectral imagery, yet achieving accurate unmixing remains challenging. While traditional methods struggle to effectively model complex spectral-spatial features, deep learning…

计算机视觉与模式识别 · 计算机科学 2026-04-14 Chentong Wang , Jincheng Gao , Fei Zhu , Jie Chen

We consider the community detection problem in sparse random hypergraphs under the non-uniform hypergraph stochastic block model (HSBM), a general model of random networks with community structure and higher-order interactions. When the…

统计理论 · 数学 2024-12-11 Ioana Dumitriu , Haixiao Wang , Yizhe Zhu

Spectral pixels are often a mixture of the pure spectra of the materials, called endmembers, due to the low spatial resolution of hyperspectral sensors, double scattering, and intimate mixtures of materials in the scenes. Unmixing estimates…

图像与视频处理 · 电气工程与系统科学 2024-04-29 Behnood Rasti , Alexandre Zouaoui , Julien Mairal , Jocelyn Chanussot

Spectral Clustering (SC) is one of the most widely used methods for data clustering. It first finds a low-dimensonal embedding $U$ of data by computing the eigenvectors of the normalized Laplacian matrix, and then performs k-means on…

计算机视觉与模式识别 · 计算机科学 2018-05-29 Canyi Lu , Shuicheng Yan , Zhouchen Lin

The selection of penalty hyperparameters is a critical aspect in Nonnegative Matrix Factorization (NMF), since these values control the trade-off between reconstruction accuracy and adherence to desired constraints. In this work, we focus…

机器学习 · 计算机科学 2025-12-29 Laura Selicato , Flavia Esposito , Andersen Ang , Nicoletta Del Buono , Rafal Zdunek

Densely annotating LiDAR point clouds is costly, which restrains the scalability of fully-supervised learning methods. In this work, we study the underexplored semi-supervised learning (SSL) in LiDAR segmentation. Our core idea is to…

计算机视觉与模式识别 · 计算机科学 2023-09-04 Lingdong Kong , Jiawei Ren , Liang Pan , Ziwei Liu

Distributed optimization has been widely used as one of the most efficient approaches for model training with massive samples. However, large-scale learning problems with both massive samples and high-dimensional features widely exist in…

机器学习 · 计算机科学 2022-04-26 Runxue Bao , Xidong Wu , Wenhan Xian , Heng Huang

Although considerable effort has been dedicated to improving the solution to the hyperspectral unmixing problem, non-idealities such as complex radiation scattering and endmember variability negatively impact the performance of most…

图像与视频处理 · 电气工程与系统科学 2023-10-05 Ricardo Augusto Borsoi , Deniz Erdoğmuş , Tales Imbiriba

Non-negative Matrix Factorization (NMF) is an effective algorithm for multivariate data analysis, including applications to feature selection, pattern recognition, and computer vision. Its variant, Semi-Nonnegative Matrix Factorization…

数值分析 · 数学 2024-10-23 Anthony Rhodes , Bin Jiang , Jenny Jiang

Non-negative blind source separation (non-negative BSS), which is also referred to as non-negative matrix factorization (NMF), is a very active field in domains as different as astrophysics, audio processing or biomedical signal processing.…

机器学习 · 统计学 2014-10-27 Jérémy Rapin , Jérôme Bobin , Anthony Larue , Jean-Luc Starck

Hyperspectral target detection is a pixel-level recognition problem. Given a few target samples, it aims to identify the specific target pixels such as airplane, vehicle, ship, from the entire hyperspectral image. In general, the background…

计算机视觉与模式识别 · 计算机科学 2021-05-11 Can Yao , Yuan Yuan , Zhiyu Jiang

This study proposes a novel framework for spectral unmixing by using 1D convolution kernels and spectral uncertainty. High-level representations are computed from data, and they are further modeled with the Multinomial Mixture Model to…

计算机视觉与模式识别 · 计算机科学 2020-12-15 Savas Ozkan , Gozde Bozdagi Akar

In this work, we introduce a highly efficient algorithm to address the nonnegative matrix underapproximation (NMU) problem, i.e., nonnegative matrix factorization (NMF) with an additional underapproximation constraint. NMU results are…

计算机视觉与模式识别 · 计算机科学 2017-04-11 Mariano Tepper , Guillermo Sapiro

In the field of data mining, how to deal with high-dimensional data is an inevitable problem. Unsupervised feature selection has attracted more and more attention because it does not rely on labels. The performance of spectral-based…

机器学习 · 计算机科学 2021-01-01 Zhengxin Li , Feiping Nie , Jintang Bian , Xuelong Li

Nonnegative matrix factorization (NMF) is a linear dimensionality reduction technique for nonnegative data, with applications such as hyperspectral unmixing and topic modeling. NMF is a difficult problem in general (NP-hard), and its…

数值分析 · 数学 2025-11-11 Junjun Pan , Valentin Leplat , Michael Ng , Nicolas Gillis

A distributed adaptive algorithm for estimation of sparse unknown parameters in the presence of nonGaussian noise is proposed in this paper based on normalized least mean fourth (NLMF) criterion. At the first step, local adaptive NLMF…

信息论 · 计算机科学 2015-12-09 Mojtaba Hajiabadi

Motivated by distributed machine learning settings such as Federated Learning, we consider the problem of fitting a statistical model across a distributed collection of heterogeneous data sets whose similarity structure is encoded by a…

统计理论 · 数学 2021-11-30 Dominic Richards , Sahand N. Negahban , Patrick Rebeschini