Data-driven invariant hidden-state ellipsoid / results.json
Unverified
1{
2 "seed": 2698,
3 "predictions": {
4 "P1_boundary_predicted_q": 1.0,
5 "P1_observed_operational_boundary_q": 1.01,
6 "P2_radius_formula_mean_relative_error": 0.0006217884341362751,
7 "P2_radius_sweep": [
8 {
9 "q": 0.5,
10 "predicted_radius": 0.2,
11 "observed_tail_radius": 0.19999999999999996,
12 "relative_error": 2.7755575615628914e-16,
13 "diverged": false,
14 "observed_log_growth_per_step": null,
15 "predicted_log_growth_per_step": null
16 },
17 {
18 "q": 0.7,
19 "predicted_radius": 0.3333333333333333,
20 "observed_tail_radius": 0.3333333333333332,
21 "relative_error": 3.3306690738754696e-16,
22 "diverged": false,
23 "observed_log_growth_per_step": null,
24 "predicted_log_growth_per_step": null
25 },
26 {
27 "q": 0.85,
28 "predicted_radius": 0.6666666666666666,
29 "observed_tail_radius": 0.666666666666666,
30 "relative_error": 9.992007221626409e-16,
31 "diverged": false,
32 "observed_log_growth_per_step": null,
33 "predicted_log_growth_per_step": null
34 },
35 {
36 "q": 0.95,
37 "predicted_radius": 1.9999999999999984,
38 "observed_tail_radius": 1.9999999999996072,
39 "relative_error": 1.9562129693895273e-13,
40 "diverged": false,
41 "observed_log_growth_per_step": null,
42 "predicted_log_growth_per_step": null
43 },
44 {
45 "q": 0.99,
46 "predicted_radius": 9.999999999999991,
47 "observed_tail_radius": 9.96891057829515,
48 "relative_error": 0.003108942170484144,
49 "diverged": false,
50 "observed_log_growth_per_step": null,
51 "predicted_log_growth_per_step": null
52 },
53 {
54 "q": 1.01,
55 "predicted_radius": Infinity,
56 "observed_tail_radius": 3558.5011602879867,
57 "relative_error": null,
58 "diverged": false,
59 "observed_log_growth_per_step": 0.00997852612857698,
60 "predicted_log_growth_per_step": 0.009950330853168092
61 },
62 {
63 "q": 1.1,
64 "predicted_radius": Infinity,
65 "observed_tail_radius": 3.206898210417796e+24,
66 "relative_error": null,
67 "diverged": true,
68 "observed_log_growth_per_step": 0.09531017980432492,
69 "predicted_log_growth_per_step": 0.09531017980432493
70 }
71 ],
72 "P3_projection_predicted_zero_violation": true,
73 "P3_projection_result": {
74 "fit_relative_A_error": 0.02199261297612363,
75 "residual_axis_radii": [
76 0.017713068251853953,
77 0.017371129634839475,
78 0.01809571771387283
79 ],
80 "q_of_test_matrix": 1.1233710273386819,
81 "raw_violation_rate": 0.9633333333333334,
82 "projected_violation_rate": 0.0,
83 "raw_max_ellipsoid_energy": 4113366436625564.5,
84 "projected_max_ellipsoid_energy": 1.0000000000000004,
85 "projected_violation_tolerance": 1e-10
86 }
87 },
88 "boundary_sweep": [
89 {
90 "q": 0.85,
91 "max_abs_state": 0.06114625541025967
92 },
93 {
94 "q": 0.86,
95 "max_abs_state": 0.05630976750844183
96 },
97 {
98 "q": 0.87,
99 "max_abs_state": 0.07282218950425683
100 },
101 {
102 "q": 0.88,
103 "max_abs_state": 0.07404907353917659
104 },
105 {
106 "q": 0.89,
107 "max_abs_state": 0.08205584679813377
108 },
109 {
110 "q": 0.8999999999999999,
111 "max_abs_state": 0.06487309906543966
112 },
113 {
114 "q": 0.9099999999999999,
115 "max_abs_state": 0.06782524987406255
116 },
117 {
118 "q": 0.9199999999999999,
119 "max_abs_state": 0.07547386809642946
120 },
121 {
122 "q": 0.9299999999999999,
123 "max_abs_state": 0.07406111249908202
124 },
125 {
126 "q": 0.94,
127 "max_abs_state": 0.08223893163167081
128 },
129 {
130 "q": 0.95,
131 "max_abs_state": 0.09272348709961054
132 },
133 {
134 "q": 0.96,
135 "max_abs_state": 0.11205213501965554
136 },
137 {
138 "q": 0.97,
139 "max_abs_state": 0.1235121217306473
140 },
141 {
142 "q": 0.98,
143 "max_abs_state": 0.12283289990759465
144 },
145 {
146 "q": 0.99,
147 "max_abs_state": 0.16456728122008552
148 },
149 {
150 "q": 1.0,
151 "max_abs_state": 0.19272562643707053
152 },
153 {
154 "q": 1.01,
155 "max_abs_state": 2.8917749610059014
156 },
157 {
158 "q": 1.02,
159 "max_abs_state": 140.23637812443903
160 },
161 {
162 "q": 1.03,
163 "max_abs_state": 2282.096499633755
164 },
165 {
166 "q": 1.04,
167 "max_abs_state": 31224.038903073433
168 },
169 {
170 "q": 1.0499999999999998,
171 "max_abs_state": 2210850.6882364233
172 },
173 {
174 "q": 1.06,
175 "max_abs_state": 67672685.47108987
176 },
177 {
178 "q": 1.0699999999999998,
179 "max_abs_state": 7901516424.487625
180 },
181 {
182 "q": 1.0799999999999998,
183 "max_abs_state": 287957422635.1783
184 },
185 {
186 "q": 1.0899999999999999,
187 "max_abs_state": 40603124040173.55
188 },
189 {
190 "q": 1.0999999999999999,
191 "max_abs_state": 479536456504324.25
192 },
193 {
194 "q": 1.1099999999999999,
195 "max_abs_state": 4473106191506179.0
196 },
197 {
198 "q": 1.1199999999999999,
199 "max_abs_state": 8.181297681024831e+17
200 },
201 {
202 "q": 1.13,
203 "max_abs_state": 6.206024806083467e+19
204 },
205 {
206 "q": 1.14,
207 "max_abs_state": 2.784344718910944e+20
208 },
209 {
210 "q": 1.15,
211 "max_abs_state": 2.20212719964705e+22
212 }
213 ]
214}