. 2024 Sep 28;7:1210. doi: 10.1038/s42003-024-06859-2

Table 1.

Parameter sets of linear and bilinear/switched linear (BL/SL) models used in our work

Model	Parameters θ
AR	{a_k}
ARX	{a_k, b_k}
VAR	{a_k, d_k,i}
VARX	{a_k, b_k, d_k,i}
BL/SL AR	{a_k, c_k}
BL/SL ARX	{a_k, b_k, c_k}
BL/SL VAR	{a_k, c_k, d_k,i}
BL/SL VARX	{a_k, b_k, c_k, d_k,i}

Note that bilinear and switched linear models have the same set of nonzero weights and only differ in their encoding of $U$ (see “Preprocessing and data decomposition” above). In each case, the shown matrices are learned from data while matrices outside of this set are assigned to 0.