Applied Network Science

Table 1 The conditional probabilities between for the variables A_i,j and θ_i,j

From: Error-correcting decoders for communities in networks

A _i,j	θ _i,j	P(A_i,j\|θ_i,j)	P(θ_i,j\|A_i,j)
1	0	p _in	\(\frac {p_{in}}{p_{in} + p_{out}}\)
1	1	p _out	\(\frac {p_{out}}{p_{in} + p_{out}}\)
0	0	1 - p_in	\(\frac {1-p_{in}}{2-(p_{in} + p_{out})}\)
0	1	1 - p_out	\(\frac {1-p_{out}}{2-(p_{in} + p_{out})}\)

The last column was calculated using Bayes’ rule with an assumption on the prior of P(θ_i,j=1)=1/2

Back to article page