PDE Sinkhorn with asymmetric geometric boundaries / results.json
Mechanism confirmed, baseline not beaten
1{
2 "seed": 1094,
3 "oblique_geometry": {
4 "correlations": [
5 0.0,
6 0.2,
7 0.5,
8 0.8,
9 0.95
10 ],
11 "oblique_residual": [
12 0.0,
13 0.0,
14 0.0,
15 0.0,
16 0.0
17 ],
18 "normal_bc_residual": [
19 0.0,
20 0.2,
21 0.5,
22 0.8,
23 0.95
24 ],
25 "oblique_flux_residual": [
26 0.0,
27 0.0,
28 0.0,
29 0.0,
30 0.0
31 ],
32 "normal_bc_flux_residual": [
33 0.0,
34 0.2,
35 0.5,
36 0.8,
37 0.95
38 ]
39 },
40 "finite_volume_no_flux": [
41 {
42 "D": 0.0,
43 "mass_error": 2.220446049250313e-16,
44 "min_density": 2.0101186545820862e-53,
45 "boundary_flux_left": 0.0,
46 "boundary_flux_right": 0.0
47 },
48 {
49 "D": 0.001,
50 "mass_error": 1.3322676295501878e-15,
51 "min_density": 1.2749254882107288e-36,
52 "boundary_flux_left": 0.0,
53 "boundary_flux_right": 0.0
54 },
55 {
56 "D": 0.03,
57 "mass_error": 2.886579864025407e-14,
58 "min_density": 4.278259484180719e-07,
59 "boundary_flux_left": 0.0,
60 "boundary_flux_right": 0.0
61 },
62 {
63 "D": 0.3,
64 "mass_error": 2.0961010704922955e-13,
65 "min_density": 0.006343464843167625,
66 "boundary_flux_left": 0.0,
67 "boundary_flux_right": 0.0
68 },
69 {
70 "D": 1.0,
71 "mass_error": 8.777423232686488e-13,
72 "min_density": 0.012019163968891133,
73 "boundary_flux_left": 0.0,
74 "boundary_flux_right": 0.0
75 }
76 ],
77 "explicit_stability": {
78 "lambda_min": -25590.13166388125,
79 "predicted_positivity_dt": 7.812500000000002e-05,
80 "predicted_spectral_dt": 7.815512738540793e-05,
81 "sweep": [
82 {
83 "ratio_to_positivity_bound": 0.5,
84 "dt": 3.906250000000001e-05,
85 "min_after_80": 0.011791476903648481,
86 "l1_norm": 1.0,
87 "nonnegative_observed": true
88 },
89 {
90 "ratio_to_positivity_bound": 0.9,
91 "dt": 7.031250000000002e-05,
92 "min_after_80": 0.011972631497932828,
93 "l1_norm": 1.0,
94 "nonnegative_observed": true
95 },
96 {
97 "ratio_to_positivity_bound": 1.0,
98 "dt": 7.812500000000002e-05,
99 "min_after_80": 0.0012501272648350811,
100 "l1_norm": 0.9999999999999998,
101 "nonnegative_observed": true
102 },
103 {
104 "ratio_to_positivity_bound": 1.05,
105 "dt": 8.203125000000002e-05,
106 "min_after_80": -23.031859208155673,
107 "l1_norm": 1522.2312585533655,
108 "nonnegative_observed": false
109 },
110 {
111 "ratio_to_positivity_bound": 1.5,
112 "dt": 0.00011718750000000002,
113 "min_after_80": -1.3600411825068436e+22,
114 "l1_norm": 9.200083731731275e+23,
115 "nonnegative_observed": false
116 }
117 ]
118 },
119 "sinkhorn_demo": [
120 {
121 "method": "reflected_PDE",
122 "initial_KL": 3.9631580800459455e-17,
123 "terminal_KL": 4.77791235308488e-16,
124 "boundary_mass_initial": 0.0009829825534952367,
125 "boundary_mass_terminal": 0.0009829817821124017
126 },
127 {
128 "method": "unconstrained_kernel",
129 "initial_KL": 1.2291990088734708e-17,
130 "terminal_KL": 5.031197839284198e-15,
131 "boundary_mass_initial": 0.0009829825477668782,
132 "boundary_mass_terminal": 0.0009829799777868512
133 }
134 ]
135}