problem about parameter estimation of Au

[idle-tmac]

def _getSessionEstimate(self, positionRelevances, layout, clicks, intent):
....
gamma = self.getGamma(self.gammas, k, layout, intent)
# E_k_multiplier --- P(S_k = 0 | C_k) P(C_k | E_k = 1)
if C_k == 0:
sessionEstimate['a'][k] = a_u * varphi[k][0]
sessionEstimate['s'][k] = 0.0
else:
sessionEstimate['a'][k] = 1.0
sessionEstimate['s'][k] = varphi[k + 1][0] * s_u / (s_u + (1 - gamma) * (1 - s_u))
....

In the above function， sessionEstimate['a'][k] = a_u * varphi[k][0] mybe wrong，it should be a_u * varphi[k][1]？

reason：a_u = P(C_k = 1 | E_k = 1 )
varphi[k][1] = P( E_k = 1 |C_1, C_2, C_3,.....C_N )

so：
sessionEstimate['a'][k] = P(C_k = 1 | C_1, C_2, C_3,.....C_N) = P(C_k = 1 | E_k = 1 ) * P( E_k = 1 |C_1, C_2, C_3,.....C_N ) = a_u * varphi[k][1]

Do you agree with my opinion ？ Please help me solve it，thank you.

[varepsilon]

Thanks for your report. I've updated the comment in the function to hopefully make it clearer. Basically, in this part of the code branch C_k = 0, so

sessionEstimate['a'][k] = P(A_k = 1 | C_1, C_2, ..., C_N) = P(A_k = 1 | C_k = 0) =
    P(A_k = 1, C_k = 0) / P(C_k = 0) = P(A_k = 1, C_k = 0) = P(A_k = 1) * P(C_k = 0 | A_k = 1) =
    a_u * varphi[k][0]