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Given full or partial information about a collection of points that lie close to a union of several subspaces, subspace clustering refers to the process of clustering the points according to their subspace and identifying the subspaces. One…

机器学习 · 统计学 2018-01-16 Zachary Charles , Amin Jalali , Rebecca Willett

A novel extension of Independent Component and Independent Vector Analysis for blind extraction/separation of one or several sources from time-varying mixtures is proposed. The mixtures are assumed to be separable source-by-source in series…

信号处理 · 电气工程与系统科学 2021-05-12 Zbyněk Koldovský , Václav Kautský , Petr Tichavský

Independent component analysis (ICA) is a powerful method for blind source separation based on the assumption that sources are statistically independent. Though ICA has proven useful and has been employed in many applications, complete…

机器学习 · 统计学 2016-10-21 Zois Boukouvalas , Yuri Levin-Schwartz , Tulay Adali

Blind single-channel source separation is a long standing signal processing challenge. Many methods were proposed to solve this task utilizing multiple signal priors such as low rank, sparsity, temporal continuity etc. The recent advance of…

信号处理 · 电气工程与系统科学 2019-05-17 Yedid Hoshen

In this work we propose a technique to remove sparse impulse noise from hyperspectral images. Our algorithm accounts for the spatial redundancy and spectral correlation of such images. The proposed method is based on the recently introduced…

图像与视频处理 · 电气工程与系统科学 2019-12-16 Angshul Majumdar , Naushad Ansari , Hemant Aggarwal , Pravesh Biyani

This paper presents and discusses the application of blind source separation to astrophysical data obtained with the WMAP satellite. Blind separation permits to identify and isolate a component compatible with CMB emission, and to measure…

天体物理学 · 物理学 2007-05-23 G. Patanchon , J. Delabrouille , J. -F. Cardoso

[Abridged] An increasing number of astronomical instruments (on Earth and space-based) provide hyperspectral images, that is three-dimensional data cubes with two spatial dimensions and one spectral dimension. The intrinsic limitation in…

天体物理仪器与方法 · 物理学 2021-03-17 Axel Boulais , Olivier Berné , Guillaume Faury , Yannick Deville

Nonlinear independent component analysis (ICA) aims to recover the underlying independent latent sources from their observable nonlinear mixtures. How to make the nonlinear ICA model identifiable up to certain trivial indeterminacies is a…

机器学习 · 计算机科学 2024-02-27 Yujia Zheng , Ignavier Ng , Kun Zhang

We present a new source separation method which maximizes the likelihood of a model of noisy mixtures of stationary, possibly Gaussian, independent components. The method has been devised to address the problem of imaging CMB anisotropies.…

天体物理学 · 物理学 2007-05-23 Jean-Francois Cardoso , Hichem Snoussi , Jacques Delabrouille , Guillaume Patanchon

We provide a new methodology for statistical recovery of single linear mixtures of piecewise constant signals (sources) with unknown mixing weights and change points in a multiscale fashion. We show exact recovery within an…

统计方法学 · 统计学 2017-08-31 Merle Behr , Chris Holmes , Axel Munk

For many years, a combination of principal component analysis (PCA) and independent component analysis (ICA) has been used for blind source separation (BSS). However, it remains unclear why these linear methods work well with real-world…

机器学习 · 统计学 2020-12-15 Takuya Isomura , Taro Toyoizumi

Blind methods often separate or identify signals or signal subspaces up to an unknown scaling factor. Sometimes it is necessary to cope with the scaling ambiguity, which can be done through reconstructing signals as they are received by…

声音 · 计算机科学 2017-08-02 Zbyněk Koldovský , Francesco Nesta

We propose a new method for clustering based on the local minimization of the \gamma-divergence, which we call the spontaneous clustering. The greatest advantage of the proposed method is that it automatically detects the number of clusters…

统计方法学 · 统计学 2013-05-01 Akifumi Notsu , Osamu Komori , Shinto Eguchi

Two primary families of methods exist for underdetermined blind identification (UBI) based on the sparsity of the source matrix: sparse component analysis (SCA) and $k$-SCA. SCA assumes one active source at each time instant, while $k$-SCA…

信号处理 · 电气工程与系统科学 2023-07-12 Ehsan Eqlimi , Bahador Makkiabadi , Mayadeh Kouti , Ardeshir Fotouhi , Saeid Sanei

Blind source separation(BSS) is a hotspot in signal processing, and independent component analysis (ICA) is a very effective tool for solving the BSS problem. In order to improve the performance of the separation, a new nonlinear function…

信号处理 · 电气工程与系统科学 2019-07-09 Pengfei Xu , Yinjie Jia , Zhijian Wang

We develop an iterative subsampling approach to improve the computational efficiency of our previous work on solution path clustering (SPC). The SPC method achieves clustering by concave regularization on the pairwise distances between…

统计方法学 · 统计学 2016-09-16 Yuliya Marchetti , Qing Zhou

Considering a mixed signal composed of various audio sources and recorded with a single microphone, we consider on this paper the blind audio source separation problem which consists in isolating and extracting each of the sources. To…

信号处理 · 电气工程与系统科学 2020-07-15 Valentin Leplat , Nicolas Gillis , Man Shun Ang

Given a time series of multicomponent measurements x(t), the usual objective of nonlinear blind source separation (BSS) is to find a "source" time series s(t), comprised of statistically independent combinations of the measured components.…

人工智能 · 计算机科学 2015-05-13 David N. Levin

The dynamics of a power system with a significant presence of renewable energy resources are growing increasingly nonlinear. This nonlinearity is a result of the intermittent nature of these resources and the switching behavior of their…

信号处理 · 电气工程与系统科学 2024-02-13 Pooja Algikar , Lamine Mili , Kiran Karra , Akash Algikar , Mohsen Ben Hassine

This paper addresses the problem of identifying a lower dimensional space where observed data can be sparsely represented. This under-complete dictionary learning task can be formulated as a blind separation problem of sparse sources…

统计方法学 · 统计学 2010-08-30 Nicolas Dobigeon , Jean-Yves Tourneret