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We propose a new estimation method for the blind source separation model of Bachoc et al. (2020). The new estimation is based on an eigenanalysis of a positive definite matrix defined in terms of multiple normalized spatial local covariance…

Methodology · Statistics 2022-08-29 Bo Zhang , Sixing Hao , Qiwei Yao

We present a method for performing Principal Component Analysis (PCA) on noisy datasets with missing values. Estimates of the measurement error are used to weight the input data such that compared to classic PCA, the resulting eigenvectors…

Instrumentation and Methods for Astrophysics · Physics 2015-06-11 Stephen Bailey

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…

Signal Processing · Electrical Eng. & Systems 2019-07-09 Pengfei Xu , Yinjie Jia , Zhijian Wang

Separating an audio scene into isolated sources is a fundamental problem in computer audition, analogous to image segmentation in visual scene analysis. Source separation systems based on deep learning are currently the most successful…

Sound · Computer Science 2018-11-07 Prem Seetharaman , Gordon Wichern , Jonathan Le Roux , Bryan Pardo

Principal Component Analysis (PCA) is a widely utilized technique for dimensionality reduction; however, its inherent lack of interpretability-stemming from dense linear combinations of all feature-limits its applicability in many domains.…

Machine Learning · Computer Science 2025-04-01 Loc Hoang Tran

Independent component analysis is an unsupervised learning approach for computing the independent components (ICs) from the multivariate signals or data matrix. The ICs are evaluated based on the multiplication of the weight matrix with the…

In this paper we propose a method for separation of moving sound sources. The method is based on first tracking the sources and then estimation of source spectrograms using multichannel non-negative matrix factorization (NMF) and extracting…

Sound · Computer Science 2017-10-30 Joonas Nikunen , Aleksandr Diment , Tuomas Virtanen

Radio frequency sources are observed at a fusion center via sensor measurements made over slow flat-fading channels. The number of sources may be larger than the number of sensors, but their activity is sparse and intermittent with bursty…

Signal Processing · Electrical Eng. & Systems 2019-08-07 Annan Dong , Osvaldo Simeone , Alexander Haimovich , Jason Dabin

This paper is concerned with uniqueness, phase retrieval and shape reconstruction methods for inverse elastic scattering problems with phaseless far field data. Systematically, we study two basic models, i.e., inverse scattering of plane…

Analysis of PDEs · Mathematics 2020-01-08 Xia Ji , Xiaodong Liu

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…

Sound · Computer Science 2017-08-02 Zbyněk Koldovský , Francesco Nesta

Layover separation has been fundamental to many synthetic aperture radar applications, such as building reconstruction and biomass estimation. Retrieving the scattering profile along the mixed dimension (elevation) is typically solved by…

Signal Processing · Electrical Eng. & Systems 2021-07-07 Yuanyuan Wang , Xiao Xiang Zhu

A prototypical blind signal separation problem is the so-called cocktail party problem, with n people talking simultaneously and n different microphones within a room. The goal is to recover each speech signal from the microphone inputs.…

Machine Learning · Computer Science 2013-06-11 Mikhail Belkin , Luis Rademacher , James Voss

A non-parametric complementary ensemble empirical mode decomposition (NPCEEMD) is proposed for identifying bearing defects using weak features. NPCEEMD is non-parametric because, unlike existing decomposition methods such as ensemble…

Signal Processing · Electrical Eng. & Systems 2023-10-03 Anil Kumar , Yaakoub Berrouche , Radosław Zimroz , Govind Vashishtha , Sumika Chauhan , C. P. Gandhi , Hesheng Tang , Jiawei Xiang

Separating signals from an additive mixture may be an unnecessarily hard problem when one is only interested in specific properties of a given signal. In this work, we tackle simpler "statistical component separation" problems that focus on…

Machine Learning · Statistics 2024-03-01 Bruno Régaldo-Saint Blancard , Michael Eickenberg

Identification and further analysis of radar emitters in a contested environment requires detection and separation of incoming signals. If they arrive from the same direction and at similar frequencies, deinterleaving them remains…

Signal Processing · Electrical Eng. & Systems 2026-01-29 Sven Hinderer

This paper extends robust principal component analysis (RPCA) to nonlinear manifolds. Suppose that the observed data matrix is the sum of a sparse component and a component drawn from some low dimensional manifold. Is it possible to…

Machine Learning · Computer Science 2019-11-12 He Lyu , Ningyu Sha , Shuyang Qin , Ming Yan , Yuying Xie , Rongrong Wang

A nonparametric distributed sequential algorithm for quick detection of spectral holes in a Cognitive Radio set up is proposed. Two or more local nodes make decisions and inform the fusion centre (FC) over a reporting Multiple Access…

Information Theory · Computer Science 2015-05-01 Sahasranand K. R. , Vinod Sharma

The objective of this paper is to recover the original component signals from a mixture audio with the aid of visual cues of the sound sources. Such task is usually referred as visually guided sound source separation. The proposed Cascaded…

Computer Vision and Pattern Recognition · Computer Science 2020-07-15 Lingyu Zhu , Esa Rahtu

Feature extraction and processing tasks play a key role in Image Fusion, and the fusion performance is directly affected by the different features and processing methods undertaken. By contrast, most of deep learning-based methods use deep…

Computer Vision and Pattern Recognition · Computer Science 2019-09-23 Hui Li , Xiao-Jun Wu , Tariq S. Durrani

We present an algorithm using Principal Component Analysis (PCA) to subtract galaxies from imaging data, and also two algorithms to find strong, galaxy-scale gravitational lenses in the resulting residual image. The combined method is…

Instrumentation and Methods for Astrophysics · Physics 2015-06-19 R. Joseph , F. Courbin , R. B. Metcalf , C. Giocoli , P. Hartley , N. Jackson , F. Bellagamba , J. -P. Kneib , L. Koopmans , G. Lemson , M. Meneghetti , G. Meylan , M. Petkova , S. Pires
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