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Modified singular value decomposition by means of independent component analysis
2004
Signal Processing
To relax this condition, exploiting the concept of Independent Component Analysis (ICA), we propose another orthogonal matrix made up of statistically independent normalized wavelets. ...
The Singular Value Decomposition (SVD) is a useful tool to achieve this separation. It provides two orthogonal matrices that convey information on normalized wavelets and propagation vectors. ...
Based on the assumption that s 1 (n) is independent from the other source waves, this can be achieved by the Independent Component Analysis (ICA). ...
doi:10.1016/j.sigpro.2003.12.007
fatcat:c6vso7qpgreqxnfbkqvnkqg2w4
Modified singular spectrum analysis in identifying rainfall trend over peninsular Malaysia
2019
Indonesian Journal of Electrical Engineering and Computer Science
<p>Identifying the local time scale of the torrential rainfall pattern through Singular Spectrum Analysis (SSA) is useful to separate the trend and noise components. ...
However, SSA poses two main issues which are torrential rainfall time series data have coinciding singular values and the leading components from eigenvector obtained from the decomposing time series matrix ...
Modified SSA help to move apart decomposition components where it would refined groups by using Robust Sparse K-Means (RSK-means) and grouping results of the components can be supported by eigenvector ...
doi:10.11591/ijeecs.v15.i1.pp283-293
fatcat:gnkolnxaknf2xmjewwwcfg2e3i
Sparse Distributed Representations for Words with Thresholded Independent Component Analysis
2007
Neural Networks (IJCNN), International Joint Conference on
The applicability of the thresholded ICA representation is compared to singular value decomposition (SVD) in a multiple choice vocabulary task with three data sets. ...
We show that independent component analysis (ICA) can be used to find distributed representations for words that can be further processed by thresholding to produce sparse representations. ...
ACKNOWLEDGMENT This work was supported in part by the Helsinki Graduate School of Computer Science and Engineering, the Academy of Finland through the Finnish Centre of Excellence Programme and Nokia Foundation ...
doi:10.1109/ijcnn.2007.4371100
dblp:conf/ijcnn/VayrynenLH07
fatcat:dcquinsmk5cxvjws6qdvowvwfm
Spectral analysis of signals by Root-Min-Norm method, using modified SSA method
2018
Системи обробки інформації
The paper considers the problem of efficiency enhancing of spectral analysis of the signals observed against noise via Root-Min-Norm method with data preprocessing by modification of the SSA method. ...
Simulations results are presented that confirm the enhancement of spectral analysis efficiency by Root-Min-Norm method when using the SSA method and its modification. ...
The eigenvalue decomposition (EVD) of the CM of observations or singular value decomposition of the data matrix is the base of the modern spectral analysis methods. ...
doi:10.30748/soi.2018.152.02
fatcat:l4ceph7ftbdb5dryjzabdoetty
A Single Number Index to Assess Selected Acoustic Parameters in Churches with Redundant Information
2011
Archives of Acoustics
The formula is created by means of the Singular Value Decomposition (SVD) method. ...
The new procedures for calculating the values of three partial indices and the single number index to assess selected acoustic parameters are presented. ...
Acknowledgment The project has been performed within the statutory works of the Department of Mechanics and Vibroacoustics of AGH -2010-2013, No. 3: "Prediction and experimental research of the new structures ...
doi:10.2478/v10168-011-0039-3
fatcat:hjizjrhsnjh5rmdxxyowtisixm
Comparison of different methods for the derivation of the vectorcardiogram from the ECG and morphology descriptors
2007
2007 Computers in Cardiology
Vectorcardiograms were reconstructed for 180 patients by applying Singular Value Decomposition and Dower's inverse transform. ...
Also, low correlation values were found among any of the morphological parameters under evaluation. ...
Acknowledgements This work was partially supported by the grants UPV, ENFASIS-TEC2005-08401 (Spain) and the Volkswagen Foundation (Germany). ...
doi:10.1109/cic.2007.4745515
fatcat:na2ohgucgfemtmvqz4culaxn7m
Gabased Digital Image Watermarking For Enhanced Robustness and Imperceptibility
2017
IOSR Journal of Computer Engineering
The singular values of the watermark are embedded in a detail sub-band of host image after third level approximation. ...
In this paper an optimal watermarking scheme based on singular value decomposition (SVD) and Discrete wavelet transform (DWT) using multi-objective genetic algorithm (GA) optimization is presented. ...
(vii) Modify the singular value of I G by embedding singular value of W G in LL sub band and for remaining such that 3 = 3 + * ,where = , , , . ...
doi:10.9790/0661-1903012633
fatcat:xj3e4y5jnjaalovi2jv7gg2czu
Symplectic geometry spectrum analysis of nonlinear time series
2014
Proceedings of the Royal Society A
Various time-series decomposition techniques, including wavelet transform, singular spectrum analysis, empirical mode decomposition and independent component analysis, have been developed for nonlinear ...
In this paper, we describe a symplectic geometry spectrum analysis (SGSA) method to decompose a time series into a set of independent additive components. ...
Distinct from the above techniques, SSA uses singular value decomposition (SVD) to reshape a time series into a sum of independent and interpretable components, such as a slowly [3] . ...
doi:10.1098/rspa.2014.0409
fatcat:wtfjrr5g4bg37oipthycem2me4
Pure component spectral recovery and constrained matrix factorizations: concepts and applications
2010
Journal of Chemometrics
For strongly overlapping spectra a penalty condition on a specific singular value of the absorptivity matrix factor and a global decomposition approach are appropriate tools to construct improved factorizations ...
The usefulness of the method is demonstrated and compared with established tools for model problems and for a system from catalytic hydroformylation by Rhodium complexes both with overlapping component ...
A = CÂ, then a reconstruction of C and can be recovered only from A by means of the singular value decomposition. ...
doi:10.1002/cem.1273
fatcat:ttzdy4vcdvcetm6rupq4swj3oa
The Centroid Decomposition: Relationships between Discrete Variational Decompositions and SVDs
2002
SIAM Journal on Matrix Analysis and Applications
The centroid decomposition, an approximation for the singular value decomposition (SVD), has a long history among the statistics/psychometrics community for factor analysis research. ...
One major purpose of this work is to show fundamental relationships between the singular value, centroid, and semidiscrete decompositions. ...
Decomposition
Centroid
Singular value
Semidiscrete
for each centroid value. ...
doi:10.1137/s0895479800382555
fatcat:amurlouclvdildwo53vhpj6qvu
Performance Analysis of Image Watermarking Using Contourlet Transform and Extraction Using Independent Component Analysis
2016
Journal of Computers
according to DWT and then watermark is embedded in singular values obtained by applying SVD.To extract the watermark, ICA-ML is used, it has a novel characteristic is that it does not require the transformation ...
In this paper, performance analysis of digital image watermarking using contourlet transform is proposed. ...
Independent component analysis (ICA) is a novel statistical technique that aims at finding linear projections of the data that maximize their mutual independence. ...
doi:10.17706/jcp.11.3.258-265
fatcat:yemhhhsdkzefphww33xrjcwx4a
A New Method of Blind Source Separation Using Single-Channel ICA Based on Higher-Order Statistics
2015
Mathematical Problems in Engineering
Methods of utilizing independent component analysis (ICA) give little guidance about practical considerations for separating single-channel real-world data, in which most of them are nonlinear, nonstationary ...
In the first step, the measured signal which is assumed to be piecewise higher order stationary time series is introduced and divided into a series of higher order stationary segments by applying a modified ...
Acknowledgments This work was supported by the National Natural Science Foundation of China (61201282) and the Fundamental Research Funds for the Central Universities of China (no. ZYGX2013J016). ...
doi:10.1155/2015/439264
fatcat:kfmuzhtkxrei3jyhth5vfzxwym
Matrix factorisation methods applied in microarray data analysis
2010
International Journal of Data Mining and Bioinformatics
Broadly speaking, these methods define a series of mathematical approaches to matrix factorization with different approaches to the fitting of the model to the data. ...
Here, we review several methods that have been developed that are capable of identifying patterns of behavior in transcriptional response and assigning genes to multiple patterns. ...
Acknowledgments The authors wish to acknowledge funding from the National Library of Medicine (LM009382, LM008932) and the Maryland Tobacco Restitution Fund. ...
doi:10.1504/ijdmb.2010.030968
pmid:20376923
pmcid:PMC2998896
fatcat:nhoq7fem65bk7ptjnxiwoqtpqe
SVD based Data Transformation Methods for Privacy Preserving Clustering
2013
International Journal of Computer Applications
Nowadays privacy issues are major concern for many government and other private organizations to delve important information from large repositories of data. ...
and independent component analysis. ...
Singular Value Decomposition Among the different methods in data mining, Singular Value Decomposition (SVD) is one of the familiar methods [12] . ...
doi:10.5120/13473-1157
fatcat:a737bkrllnft3mmqxzbhhtpxbi
An Efficient Reference Free Adaptive Learning Process for Speech Enhancement Applications
2022
Computers Materials & Continua
This paper addresses a new adaptive speech enhancement (ASE) method based on a modified version of singular spectrum analysis (MSSA). ...
During the transmission of speech signals, several noise components contaminate the actual speech components. ...
Conflicts of Interest: The authors declare that they have no conflicts of interest to report regarding the present study. ...
doi:10.32604/cmc.2022.020160
fatcat:64bpgowpkvgb7d7uti5jjom5ku
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