Table 1.

The definition of geometry concepts in five neural subspaces. The matrix X varies according to different subspace.

Figure	Subspace(in two dimensions)	Geometric notion	Definition and interpretation
Figure 7A	Cue-subspace	C-cue-axis M-cue-axis	PCA on matrix Xcue,color, the first PC is defined as the C-cue-axis. PCA on matrix Xcue,motion, the first PC is defined as the M-cue-axis.
		cue-PC1 cue-PC2	PCA on population responses during the cue stimulus epoch. The first three PCs are: cue-PC1, cue-PC2, cue-PC3.
Figure 7C	Cue-Delay-subspace	cue-delay-PC1 cue-delay-PC2	PCA on population responses across two task epochs (Figure 6). The first three PCs are: cue-delay-PC1, cue-delay-PC2, cue-delay-PC3
Figure 8D	Integ-subspace	C-choice-axis M-choice-axis	PCA on matrix Xinteg,color, the first PC is defined as the C-choice-axis. PCA on matrix Xinteg,motion, the first PC is defined as the M-choice-axis
		integ-PC2 integ-PC3	PCA on population responses during the sensory stimulus epoch. The first three PCs are: integ-PC1, integ-PC2, integ-PC3.
Figure 9B	Resp-subspace	resp-PC2 resp-PC3	PCA on population responses during the response epoch (Figure 6). The first three PCs are: resp-PC1, resp-PC2, resp-PC3.
Figure 9D	Integ-Resp-subspace	integ-resp-PC2 integ-resp-PC3	PCA on population responses across two task epochs (Figure 6). The first three PCs are: integ-resp-PC1, integ-resp-PC2, integ-resp-PC3.