NDLI: Nonparametric tikhonov regularized NMF and its application in cancer clustering

Content Provider	ACM Digital Library
Author	Mirzal, Andri
Copyright Year	2015
Abstract	The Tikhonov regularized nonnegative matrix factorization (TNMF) is an NMF objective function that enforces smoothness on the computed solutions, and has been successfully applied to many problem domains including text mining, spectral data analysis, and cancer clustering. There is, however, an issue that is still insufficiently addressed in the development of TNMF algorithms, i.e., how to develop mechanisms that can learn the regularization parameters directly from the data sets. The common approach is to use fixed values based on a priori knowledge about the problem domains. However, from the linear inverse problems study it is known that the quality of the solutions of the Tikhonov regularized least square problems depends heavily on the choosing of appropriate regularization parameters. Since least squares are the building blocks of the NMF, it can be expected that similar situation also applies to the NMF. In this paper, we propose two formulas to automatically learn the regularization parameters from the data set based on the L-curve approach. We also develop a convergent algorithm for the TNMF based on the additive update rules. Finally, we demonstrate the use of the proposed algorithm in cancer clustering tasks.
Starting Page	1208
Ending Page	1217
Page Count	10
File Format	PDF
ISSN	15455963
DOI	10.1109/TCBB.2014.2328342
Volume Number	11
Issue Number	6
Journal	IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2014-11-01
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	L-curve Tikhonov regularization Cancer clustering Nonnegative matrix factorization Nonparametric learning
Content Type	Text
Resource Type	Article
Subject	Genetics Biotechnology Applied Mathematics

Sl.	Authority	Responsibilities	Communication Details
1	Ministry of Education (GoI), Department of Higher Education	Sanctioning Authority	https://www.education.gov.in/ict-initiatives
2	Indian Institute of Technology Kharagpur	Host Institute of the Project: The host institute of the project is responsible for providing infrastructure support and hosting the project	https://www.iitkgp.ac.in
3	National Digital Library of India Office, Indian Institute of Technology Kharagpur	The administrative and infrastructural headquarters of the project	Dr. B. Sutradhar bsutra@ndl.gov.in
4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
5	Website/Portal (Helpdesk)	Queries regarding NDLI and its services	support@ndl.gov.in
6	Contents and Copyright Issues	Queries related to content curation and copyright issues	content@ndl.gov.in
7	National Digital Library of India Club (NDLI Club)	Queries related to NDLI Club formation, support, user awareness program, seminar/symposium, collaboration, social media, promotion, and outreach	clubsupport@ndl.gov.in
8	Digital Preservation Centre (DPC)	Assistance with digitizing and archiving copyright-free printed books	dpc@ndl.gov.in
9	IDR Setup or Support	Queries related to establishment and support of Institutional Digital Repository (IDR) and IDR workshops	idr@ndl.gov.in

Nonparametric Tikhonov Regularized NMF and Its Application in Cancer Clustering

Robust Manifold Nonnegative Matrix Factorization

Graph Regularized Nonnegative Matrix Factorization for Data Representation

Manifold Regularized Discriminative Nonnegative Matrix Factorization With Fast Gradient Descent

Symmetric Nonnegative Matrix Factorization With Beta-Divergences

Double Constrained NMF for Hyperspectral Unmixing

A Converged Algorithm for Tikhonov Regularized Nonnegative Matrix Factorization with Automatic Regularization Parameters Determination (2012)

Similarity Learning-Induced Symmetric Nonnegative Matrix Factorization for Image Clustering

CGC: A Flexible and Robust Approach to Integrating Co-Regularized Multi-Domain Graph for Clustering

Nonparametric tikhonov regularized NMF and its application in cancer clustering

Similar Documents

Nonparametric Tikhonov Regularized NMF and Its Application in Cancer Clustering

Robust Manifold Nonnegative Matrix Factorization

Graph Regularized Nonnegative Matrix Factorization for Data Representation

Manifold Regularized Discriminative Nonnegative Matrix Factorization With Fast Gradient Descent

Symmetric Nonnegative Matrix Factorization With Beta-Divergences

Double Constrained NMF for Hyperspectral Unmixing

A Converged Algorithm for Tikhonov Regularized Nonnegative Matrix Factorization with Automatic Regularization Parameters Determination (2012)

Similarity Learning-Induced Symmetric Nonnegative Matrix Factorization for Image Clustering

CGC: A Flexible and Robust Approach to Integrating Co-Regularized Multi-Domain Graph for Clustering

Nonparametric tikhonov regularized NMF and its application in cancer clustering