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The tensor generalized singular value decomposition is one of the multi-tensor decompositions, invented to simultaneously identify the similar and dissimilar among, and create a single coherent model from any data types, of any number and dimensions.

摘要

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描述
English: The tensor generalized singular value decomposition is one of the comparative spectral decompositions, physics-inspired multi-tensor generalizations of the singular value decomposition, invented to simultaneously identify the similar and dissimilar among, and create a single coherent model from any data types, of any number and dimensions.

Following:

1. et int. Orly Alter, "Tensor GSVD of Patient- and Platform-Matched Tumor and Normal DNA Copy-Number Profiles Uncovers Chromosome Arm-Wide Patterns of Tumor-Exclusive Platform-Consistent Alterations Encoding for Cell Transformation and Predicting Ovarian Cancer Survival," PLoS One 10, article e0121396 (2015); https://doi.org/10.1371/journal.pone.0121396

2. Orly Alter, 2015– NIH/National Cancer Institute (NCI) Physical Sciences in Oncology U01 Project: Multi-Tensor Decompositions for Personalized Cancer Diagnostics and Prognostics; https://app.dimensions.ai/details/grant/grant.4455012

See also:

3. Orly Alter, "Multi-Tensor Decompositions for Personalized Cancer Diagnostics, Prognostics, and Therapeutics," Amazon Web Services (AWS) Education Research Webinar (January 30, 2020), hosted by M. L. Collinson; https://wikidata.org/wiki/Q113815455

4. Orly Alter, "Multi-Tensor Decompositions for Personalized Cancer Diagnostics, Prognostics, and Therapeutics," Stanford University Institute for Computational and Mathematical Engineering Seminar (Stanford, CA, January 16, 2020), hosted by M. A. Saunders; https://wikidata.org/wiki/Q113730709

5. Sri Priya Ponnapalli, Michael A. Saunders, Charles F. Van Loan and Orly Alter, "A Higher-Order Generalized Singular Value Decomposition for Comparison of Global mRNA Expression from Multiple Organisms," PLoS One 6, article e28072 (2011); https://doi.org/10.1371/journal.pone.0028072.

6. Sri Priya Ponnapalli, Gene H. Golub and Orly Alter, "A Novel Higher-Order Generalized Singular Value Decomposition for Comparative Analysis of Multiple Genome-Scale Datasets," Workshop on Algorithms for Modern Massive Datasets (MMDS). Stanford, CA: Stanford University and Yahoo! Research (2006); https://wikidata.org/wiki/Q113409278

7. Orly Alter et al., "Generalized Singular Value Decomposition for Comparative Analysis of Genome-Scale Expression Datasets of Two Different Organisms," PNAS 100, 3351 (2003); https://doi.org/10.1073/pnas.0530258100.
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