A "nonnegative PCA" algorithm for independent component analysis

IEEE Transactions on Neural Networks
M D Plumbley, Erkki Oja

Abstract

We consider the task of independent component analysis when the independent sources are known to be nonnegative and well-grounded, so that they have a nonzero probability density function (pdf) in the region of zero. We propose the use of a "nonnegative principal component analysis (nonnegative PCA)" algorithm, which is a special case of the nonlinear PCA algorithm, but with a rectification nonlinearity, and we conjecture that this algorithm will find such nonnegative well-grounded independent sources, under reasonable initial conditions. While the algorithm has proved difficult to analyze in the general case, we give some analytical results that are consistent with this conjecture and some numerical simulations that illustrate its operation.

References

Jan 1, 1982·Journal of Mathematical Biology·E Oja
Dec 23, 1998·Network : Computation in Neural Systems·D Charles, C Fyfe
Feb 2, 2008·IEEE Transactions on Neural Networks·M D Plumbley
Jan 1, 1994·IEEE Transactions on Neural Networks·W Y YanJ B Moore

❮ Previous
Next ❯

Citations

May 30, 2008·Computational Intelligence and Neuroscience·Madhusudana ShashankaParis Smaragdis
Jul 22, 2004·Neural Computation·Erkki Oja, Mark Plumbley
Mar 8, 2013·The Journal of the Acoustical Society of America·Emmanouil Benetos, Simon Dixon
Feb 27, 2015·IEEE Transactions on Neural Networks and Learning Systems·Clive Cheong TookDanilo P Mandic
Apr 21, 2009·Human Brain Mapping·Pedro A Valdés-SosaMaría Antonieta Bobes
Sep 10, 2014·IEEE Transactions on Neural Networks and Learning Systems·Zuyuan YangKan Xie
May 22, 2009·IEEE Transactions on Neural Networks·Dongyue ChenJuyang Weng
Jul 31, 2010·IEEE/ACM Transactions on Computational Biology and Bioinformatics·Xiaoxu Han
Jan 1, 2013·IEEE Transactions on Neural Networks and Learning Systems·Zuyuan YangShengli Xie
Mar 11, 2010·IEEE Transactions on Image Processing : a Publication of the IEEE Signal Processing Society·Olivier EchesJean-Yves Tourneret
Dec 14, 2005·IEEE Transactions on Neural Networks·Chin-Teng LinSheng-Fu Liang
Sep 28, 2006·IEEE Transactions on Neural Networks·Jiang LiChanghua Yu
Mar 11, 2006·IEEE Transactions on Neural Networks·Mao Ye
Mar 29, 2006·IEEE Transactions on Neural Networks·Marko V Jankovic, Hidemitsu Ogawa
Sep 1, 2011·IEEE Transactions on Neural Networks·Guoxu ZhouZhaoshui He
Oct 1, 2012·IEEE Transactions on Neural Networks and Learning Systems·Zuyuan YangYue Rong
Apr 8, 2014·Computational and Mathematical Methods in Medicine·Jianbin GaoYunfeng Fan
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Harald StögbauerPeter Grassberger
Sep 12, 2015·Medical & Biological Engineering & Computing·Yee Siong LeeChristopher L Steinfort
Aug 5, 2017·Neural Computation·Cengiz PehlevanDmitri B Chklovskii
Jul 19, 2017·Journal of Bioinformatics and Computational Biology·Wentian LiHenry Han
Jul 25, 2017·Australasian Physical & Engineering Sciences in Medicine·Shayan YazdaniMohammad Hossein Sedaaghi
Mar 1, 2006·Analytical Chemistry·Sergey A AstakhovPeter Grassberger

❮ Previous
Next ❯

Related Concepts

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.