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Singular value decomposition
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===Signal processing=== The SVD and pseudoinverse have been successfully applied to [[signal processing]],<ref>{{cite journal |last=Sahidullah |first=Md. |author2=Kinnunen, Tomi |title=Local spectral variability features for speaker verification |journal=Digital Signal Processing |date=March 2016 |volume=50 |pages=1β11 |doi=10.1016/j.dsp.2015.10.011 |bibcode=2016DSP....50....1S |url= https://erepo.uef.fi/handle/123456789/4375}}<!--https://erepo.uef.fi/handle/123456789/4375--></ref> [[image processing]]<ref name="Mademlis2018">{{cite book |last1=Mademlis |first1=Ioannis |last2=Tefas |first2=Anastasios |last3=Pitas |first3=Ioannis |title=2018 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) |chapter=Regularized SVD-Based Video Frame Saliency for Unsupervised Activity Video Summarization |url=https://ieeexplore.ieee.org/document/8462274 |year=2018 |pages=2691β2695 |publisher=IEEE |doi=10.1109/ICASSP.2018.8462274 |isbn=978-1-5386-4658-8 |s2cid=52286352 |access-date=19 January 2023}}</ref> and [[big data]] (e.g., in genomic signal processing).<ref> {{Cite journal | author = O. Alter, P. O. Brown and D. Botstein | title = Singular Value Decomposition for Genome-Wide Expression Data Processing and Modeling | journal = PNAS | volume = 97 | issue = 18 | pages = 10101β10106 | date = September 2000 | doi = 10.1073/pnas.97.18.10101 | pmid = 10963673 | pmc = 27718 | bibcode = 2000PNAS...9710101A | doi-access = free }}</ref><ref>{{Cite journal | author1 = O. Alter | author2 = G. H. Golub | title = Integrative Analysis of Genome-Scale Data by Using Pseudoinverse Projection Predicts Novel Correlation Between DNA Replication and RNA Transcription | journal = PNAS | volume = 101 | issue = 47 | pages = 16577β16582 | date = November 2004 | doi = 10.1073/pnas.0406767101 | pmid = 15545604 | pmc = 534520 | bibcode = 2004PNAS..10116577A | doi-access = free }}</ref><ref>{{Cite journal | author1 = O. Alter | author2 = G. H. Golub | title = Singular Value Decomposition of Genome-Scale mRNA Lengths Distribution Reveals Asymmetry in RNA Gel Electrophoresis Band Broadening | journal = PNAS | volume = 103 | issue = 32 | pages = 11828β11833 | date = August 2006 | doi = 10.1073/pnas.0604756103 | pmid = 16877539 | pmc = 1524674 | bibcode = 2006PNAS..10311828A | doi-access = free }}</ref><ref>{{Cite journal | first1 = N. M. | last1 = Bertagnolli | first2 = J. A. | last2 = Drake | first3 = J. M. | last3 = Tennessen | first4 = O. | last4 = Alter | title = SVD Identifies Transcript Length Distribution Functions from DNA Microarray Data and Reveals Evolutionary Forces Globally Affecting GBM Metabolism | journal = PLOS ONE | volume = 8 | issue = 11 | pages = e78913 | date = November 2013 | doi = 10.1371/journal.pone.0078913 | id = [http://www.alterlab.org/research/highlights/pone.0078913_Highlight.pdf Highlight] | pmid = 24282503 | pmc = 3839928 | bibcode = 2013PLoSO...878913B | doi-access = free }}</ref>
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