. 2015 May 21;31(18):2999–3007. doi: 10.1093/bioinformatics/btv314

Table 2.

Truth table with weights representing the presence of hyperedges in a continuous formulation for the graph shown in Figure 1

$x_{1}$	$x_{2}$	${\bar{B}}^{I} ({\bar{x}}_{1}, {\bar{x}}_{2}) = ...$
0	0	$0 \cdot (1 - {\bar{x}}_{1}) \cdot (1 - {\bar{x}}_{2}) +$
0	1	$w_{1} \cdot (1 - {\bar{x}}_{1}) \cdot {\bar{x}}_{2} +$
1	0	$w_{2} \cdot {\bar{x}}_{1} \cdot (1 - {\bar{x}}_{2}) +$
1	1	$OR (w_{1}, w_{2}, w_{3}) \cdot {\bar{x}}_{1} \cdot {\bar{x}}_{2}$

Note: The multivariate polynomial interpolation of the OR gate is used to make a smooth approximation of a logical disjunction for the weights w₁, w₂ and w₃.