A loop-counting method for covariate-corrected low-rank biclustering of gene-expression and genome-wide association study data
Fig 12
Illustration of the loops within a 3-dimensional array.
We sketch the structure of a 3-dimensional data-array D, with J rows, K columns and P ‘layers’. Each entry Dj,k,l will lie in the cube shown. The loops within D can be divided into 3-categories: (a) iso-layer loops that stretch across 2 rows and 2 columns, (b) iso-column loops that stretch across 2 rows and 2 layers, and (c) iso-row loops that stretch across 2 columns and 2 layers. The row-score [ZROW]j aggregates all the iso-column and iso-layer loops associated with row-j. The column-score [ZCOL]k aggregates all the iso-row and iso-layer loops associated with column-k. The layer-score [ZLYR]l aggregates all the iso-row and iso-column loops associated with layer-l.