Sample paths visualization movies
These supplemental movies correspond to Figures 4 and 7 of the following paper:
And Figures 10 and 12 of its Supplementary Materials (SM):
Moives:
The following 3 sample paths (Fig. 4 in the main text) are all
- Generated by CDF_threshold_aware_policy_withDetOpt.m » with \(N=1601\);
- Subject to small random perturbations (volatilities) \(\sigma_G = \sigma_D = \sigma_V = 0.15\);
- Starting from \((q_0,p_0,\bar{s}) = (0.26,0.665,5)\).
Case 1 (Success; Fig.4(A)):
Case 2 (Death; Fig.4(B)):
Case 3 (Out of budget; Fig.4(C)):
The following 2 sample paths (Figs. 12(C)&(D) in the SM) are both
- Generated by CDF_threshold_aware_policy_withDetOpt.m » with \(N=1601\);
- Subject to large random perturbations (volatilities) \(\sigma_G = \sigma_D = \sigma_V = 0.5\);
- Starting from \((q_0,p_0,\bar{s}) = (0.27,0.4,4.46)\).
Fig.12(C); Success with high VOP:
Fig.12(D); Success with low VOP:
The following 2 sample paths are both
- Generated by CDF_threshold_aware_policy_EG2.m » with \(N=3201\);
- Subject to a single 1D Brownian motion with volatilities \(\sigma_S = \sigma_R = 0.15\);
- Resulted in Remission
- Left: \((q_0,p_0,\bar{s}) = (0.45,0.9,60)\);
- Right: \((q_0,p_0,\bar{s}) = (0.55,0.9,60)\).