degree ,k.. Naturally, we expect larger and highly-connected networks to be more difficult to estimate. To study how the estimation accuracy varies with N, we performed estimation on networks with three different sizes N = 1,000, 10,000, and 100,000 using data from S = 100 epidemics. We also compared the estimation accuracies for networks with N = 10,000 nodes and two different average degrees ,k. = 10 and 20. In Figure 4c -d, we show that the accuracy falls with increasing network size N and increasing average degree ,k., as expected.