###
ON BINOMIAL APPROXIMATION FOR MAJORITY VOTE DETECTION

**MAIN POINTS:**

- The 2 variants of the binomial approximation formula for partial partition function in Ising models with fixed edge potential and weak node potentials
- Turns out, MAP makes the same number of mistakes as the trivial estimator! It still achieves lower error rate because the locations in which it makes these errors bear lesser mass compared to the trivial estimator.
- Network effect is seen in moderate SNR region. Not much of a difference in the low and the High SNR regimes...