Extended Data Fig. 5: Schematic of the two sliceTCA invariant transformations.
From: Dimensionality reduction beyond neural subspaces with slice tensor component analysis
a. Example of a within-slice-type invariant transformation in a slice-rank-2 tensor formed by adding and subtracting a slice-rank-1 component with the same loading vector as component 1 and the same slice as component 2. These terms can be absorbed into the original two components, resulting in two equivalent decompositions. b. Example of a between-slice-type invariant transformation in a slice-rank-2 tensor. Here, a rank-1 tensor constructed by the two components’ loading vectors (green and yellow) and a third free vector (blue) is added and subtracted. These terms can be absorbed into the original two components, resulting in two equivalent decompositions.
