1{
 2  "math_check": {
 3    "analytic_EY_given_M1": {
 4      "1.0": 1.5,
 5      "2.0": 1.8
 6    },
 7    "empirical_EY_given_M1": {
 8      "sigma1": 1.5005521774291992,
 9      "sigma2": 1.7640395164489746
10    },
11    "marginal_Y_variance_formula": {
12      "1.0": 6.0,
13      "2.0": 18.0
14    }
15  },
16  "neural_experiment": {
17    "test_shift_sigma2_nll": {
18      "baseline_m_only": 1.9675318002700806,
19      "joint": 1.6474906206130981,
20      "joint_minus_baseline": -0.3200411796569824
21    },
22    "selected_M1_predicted_mean": {
23      "baseline": 1.6588640213012695,
24      "joint_conditional": 2.0122196674346924,
25      "true_sigma2": 1.8
26    },
27    "joint_marginal_predicted_Y_variance_sigma2": 13.315326690673828,
28    "device": "cuda"
29  }
30}