- Supplemental material for S. P. Ponnapalli, M. A. Saunders, C. F. Van Loan and O. Alter, "A Higher-Order Generalized Singular Value Decomposition for Comparison of Global mRNA Expression from Multiple Organisms,"

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- Abstract:

The number of high-dimensional datasets recording multiple aspects of a single phenomenon is increasing in many areas of science, accompanied by a need for mathematical frameworks that can compare multiple large-scale matrices with different row dimensions. The only such framework to date, the generalized singular value decomposition (GSVD), is limited to two matrices. We mathematically define a higher-order GSVD (HO GSVD) for

- A PDF format file, readable by Adobe Acrobat Reader.

- Ponnapalli_et_al_PLoS_One_2011.pdf

- A PDF format file, readable by Adobe Acrobat Reader.

- Ponnapalli_et_al_PLoS_One_2011_Appendix.pdf

- Notebook S1: HO_GSVD.nb

- Higher-order generalized singular value decomposition (HO GSVD) of global mRNA expression datasets from three different organisms.

A Mathematica 5.2 code file, executable by Mathematica.

- Notebook S2: HO_GSVD.pdf

- HO GSVD of global mRNA expression datasets from three different organisms.

A PDF format file, readable by Adobe Acrobat Reader.

- Dataset S1: S_pombe.txt

*S. pombe*global mRNA expression.

A tab-delimited text format file, readable by both Mathematica and Microsoft Excel, reproducing the relative mRNA expression levels of*m*_{1}=3167*S. pombe*gene clones at*n*=17 time points during about two cell-cycle periods from Rustici et al., and with the cell-cycle classifications from Rustici et al. or Oliva et al.

- Dataset S2: S_cerevisiae.txt

*S. cerevisiae*global mRNA expression.

A tab-delimited text format file, readable by both Mathematica and Microsoft Excel, reproducing the relative mRNA expression levels of*m*_{2}=4772*S. cerevisiae*open reading frames (ORFs), or genes, at*n*=17 time points during about two cell-cycle periods, including cell-cycle classifications, from Spellman et al.

- Dataset S3: Human.txt

- Human global mRNA expression.

A tab-delimited text format file, readable by both Mathematica and Microsoft Excel, reproducing the relative mRNA expression levels of*m*_{3}=13,068 human gene clones at*n*=17 time points during about two cell-cycle periods, including cell-cycle classifications, from Whitfield et al.