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We introduce the blind subspace deconvolution (BSSD) problem, which is the extension of both the blind source deconvolution (BSD) and the independent subspace analysis (ISA) tasks. We examine the case of the undercomplete BSSD (uBSSD).…

Statistics Theory · Mathematics 2007-05-23 Zoltan Szabo , Barnabas Poczos , Andras Lorincz

In high-energy astronomy, spectro-imaging instruments such as X-ray detectors allow investigation of the spatial and spectral properties of extended sources including galaxy clusters, galaxies, diffuse interstellar medium, supernova…

High Energy Astrophysical Phenomena · Physics 2019-07-24 Adrien Picquenot , Fabio Acero , Jérôme Bobin , Pierre Maggi , Jean Ballet , Gabriel W. Pratt

In this paper, we study the problem of sparse Principal Component Analysis (PCA) in the high-dimensional setting with missing observations. Our goal is to estimate the first principal component when we only have access to partial…

Statistics Theory · Mathematics 2012-06-04 Karim Lounici

Stacking analysis is a means of detecting faint sources using a priori position information to estimate an aggregate signal from individually undetected objects. Confusion severely limits the effectiveness of stacking in deep surveys with…

Instrumentation and Methods for Astrophysics · Physics 2015-05-14 Peter Kurczynski , Eric Gawiser

Detection of a signal under noise is a classical signal processing problem. When monitoring spatial phenomena under a fixed budget, i.e., either physical, economical or computational constraints, the selection of a subset of available…

Signal Processing · Electrical Eng. & Systems 2018-08-01 Mario Coutino , Sundeep Prabhakar Chepuri , Geert Leus

In the field of unsupervised feature selection, sparse principal component analysis (SPCA) methods have attracted more and more attention recently. Compared to spectral-based methods, SPCA methods don't rely on the construction of a…

Computer Vision and Pattern Recognition · Computer Science 2023-09-13 Junjing Zheng , Xinyu Zhang , Yongxiang Liu , Weidong Jiang , Kai Huo , Li Liu

This article introduces a novel communication paradigm for the unsourced, uncoordinated Gaussian multiple access problem. The major components of the envisioned framework are as follows. The encoded bits of every message are partitioned…

Information Theory · Computer Science 2020-11-23 Asit Pradhan , Vamsi Amalladinne , Avinash Vem , Krishna R. Narayanan , Jean-Francois Chamberland

In this work, we address the problem of outlier detection for robust motion estimation by using modern sparse-low-rank decompositions, i.e., Robust PCA-like methods, to impose global rank constraints. Robust decompositions have shown to be…

Computer Vision and Pattern Recognition · Computer Science 2014-10-23 German Ros , Jose Alvarez , Julio Guerrero

Recently, the decentralized optimization problem is attracting growing attention. Most existing methods are deterministic with high per-iteration cost and have a convergence rate quadratically depending on the problem condition number.…

Machine Learning · Statistics 2018-05-28 Zebang Shen , Aryan Mokhtari , Tengfei Zhou , Peilin Zhao , Hui Qian

We study high-dimensional sparse estimation tasks in a robust setting where a constant fraction of the dataset is adversarially corrupted. Specifically, we focus on the fundamental problems of robust sparse mean estimation and robust sparse…

Data Structures and Algorithms · Computer Science 2019-11-20 Ilias Diakonikolas , Sushrut Karmalkar , Daniel Kane , Eric Price , Alistair Stewart

We give an overview of ISINA: INTEGRAL Source Identification Network Algorithm. This machine learning algorithm, using Random Forests, is applied to the IBIS/ISGRI dataset in order to ease the production of unbiased future soft gamma-ray…

Astrophysics · Physics 2008-11-07 S. Scaringi , A. J. Bird , D. J. Clark , A. J. Dean , A. B. Hill , V. A. McBride , S. E. Shaw

This paper considers the problem of undersampled MRI reconstruction. We propose a novel Transformer-based framework for directly processing signal in k-space, going beyond the limitation of regular grids as ConvNets do. We adopt an implicit…

Image and Video Processing · Electrical Eng. & Systems 2022-11-11 Ziheng Zhao , Tianjiao Zhang , Weidi Xie , Yanfeng Wang , Ya Zhang

Convex optimization problems are common in hyperspectral unmixing. Examples include: the constrained least squares (CLS) and the fully constrained least squares (FCLS) problems, which are used to compute the fractional abundances in linear…

Optimization and Control · Mathematics 2012-05-10 José M. Bioucas-Dias , Mário A. T. Figueiredo

This paper presents a generation-based debiasing framework for object detection. Prior debiasing methods are often limited by the representation diversity of samples, while naive generative augmentation often preserves the biases it aims to…

Computer Vision and Pattern Recognition · Computer Science 2026-03-18 Xinhao Cai , Liulei Li , Gensheng Pei , Tao Chen , Jinshan Pan , Yazhou Yao , Wenguan Wang

Recently, weakly supervised person search is proposed to discard human-annotated identities and train the model with only bounding box annotations. A natural way to solve this problem is to separate it into detection and unsupervised…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Chengyou Jia , Minnan Luo , Caixia Yan , Xiaojun Chang , Qinghua Zheng

Spatial Independent Components Analysis (ICA) is increasingly used in the context of functional Magnetic Resonance Imaging (fMRI) to study cognition and brain pathologies. Salient features present in some of the extracted Independent…

Sparse principal component analysis (PCA) is a popular dimensionality reduction technique for obtaining principal components which are linear combinations of a small subset of the original features. Existing approaches cannot supply…

Optimization and Control · Mathematics 2022-02-22 Dimitris Bertsimas , Ryan Cory-Wright , Jean Pauphilet

Principal component analysis (PCA) is a widely used technique for data analysis and dimension reduction with numerous applications in science and engineering. However, the standard PCA suffers from the fact that the principal components…

Optimization and Control · Mathematics 2009-07-14 Zhaosong Lu , Yong Zhang

This paper deals with problem of blind identification of a graph filter and its sparse input signal, thus broadening the scope of classical blind deconvolution of temporal and spatial signals to irregular graph domains. While the…

Signal Processing · Electrical Eng. & Systems 2018-03-14 Chang Ye , Rasoul Shafipour , Gonzalo Mateos

The discovery of disease subtypes is an essential step for developing precision medicine, and disease subtyping via omics data has become a popular approach. While promising, subtypes obtained from existing approaches are not necessarily…

Quantitative Methods · Quantitative Biology 2022-03-01 Lingsong Meng , Dorina Avram , George Tseng , Zhiguang Huo