Mpemba Mode-Filtered Training / results.json
Mechanism confirmed, baseline not beaten
1{
2 "seed": 1222,
3 "predictions": {
4 "crossing": [
5 {
6 "gap": 0.5,
7 "continuous_time": 1.0986122886681098,
8 "discrete_formula_step": 1097.2390003911635,
9 "observed_step": 1097.0,
10 "relative_error": 0.00021786726632950972
11 },
12 {
13 "gap": 1.0,
14 "continuous_time": 0.5493061443340549,
15 "discrete_formula_step": 548.4821392732413,
16 "observed_step": 548.0,
17 "relative_error": 0.0008798161920461191
18 },
19 {
20 "gap": 2.0,
21 "continuous_time": 0.27465307216702745,
22 "discrete_formula_step": 274.1036742881657,
23 "observed_step": 274.0,
24 "relative_error": 0.0003783733144732767
25 },
26 {
27 "gap": 4.0,
28 "continuous_time": 0.13732653608351372,
29 "discrete_formula_step": 136.91437282205538,
30 "observed_step": 136.0,
31 "relative_error": 0.006723329573936647
32 }
33 ],
34 "stability": {
35 "eta": 0.2,
36 "lambda1": 1.0,
37 "predicted_upper_gamma": 1.8,
38 "sweep": [
39 {
40 "gamma": 1.5,
41 "max_factor_abs": 0.7,
42 "predicted_stable": true,
43 "observed_bounded_100_steps": true,
44 "norm_growth": 1.0
45 },
46 {
47 "gamma": 1.55,
48 "max_factor_abs": 0.75,
49 "predicted_stable": true,
50 "observed_bounded_100_steps": true,
51 "norm_growth": 1.0
52 },
53 {
54 "gamma": 1.6,
55 "max_factor_abs": 0.8,
56 "predicted_stable": true,
57 "observed_bounded_100_steps": true,
58 "norm_growth": 1.0
59 },
60 {
61 "gamma": 1.65,
62 "max_factor_abs": 0.8499999999999999,
63 "predicted_stable": true,
64 "observed_bounded_100_steps": true,
65 "norm_growth": 1.0
66 },
67 {
68 "gamma": 1.7,
69 "max_factor_abs": 0.8999999999999999,
70 "predicted_stable": true,
71 "observed_bounded_100_steps": true,
72 "norm_growth": 1.0
73 },
74 {
75 "gamma": 1.75,
76 "max_factor_abs": 0.95,
77 "predicted_stable": true,
78 "observed_bounded_100_steps": true,
79 "norm_growth": 1.0
80 },
81 {
82 "gamma": 1.8,
83 "max_factor_abs": 1.0,
84 "predicted_stable": false,
85 "observed_bounded_100_steps": true,
86 "norm_growth": 1.0
87 },
88 {
89 "gamma": 1.85,
90 "max_factor_abs": 1.05,
91 "predicted_stable": false,
92 "observed_bounded_100_steps": false,
93 "norm_growth": 128.9475922731347
94 },
95 {
96 "gamma": 1.9000000000000001,
97 "max_factor_abs": 1.1,
98 "predicted_stable": false,
99 "observed_bounded_100_steps": false,
100 "norm_growth": 13513.002159617661
101 },
102 {
103 "gamma": 1.9500000000000002,
104 "max_factor_abs": 1.1500000000000001,
105 "predicted_stable": false,
106 "observed_bounded_100_steps": false,
107 "norm_growth": 1151509.0769606382
108 },
109 {
110 "gamma": 2.0,
111 "max_factor_abs": 1.2,
112 "predicted_stable": false,
113 "observed_bounded_100_steps": false,
114 "norm_growth": 81209705.41615014
115 },
116 {
117 "gamma": 2.0500000000000003,
118 "max_factor_abs": 1.2500000000000002,
119 "predicted_stable": false,
120 "observed_bounded_100_steps": false,
121 "norm_growth": 4813762187.23161
122 },
123 {
124 "gamma": 2.1,
125 "max_factor_abs": 1.3,
126 "predicted_stable": false,
127 "observed_bounded_100_steps": false,
128 "norm_growth": 243118809837.5244
129 }
130 ]
131 },
132 "late_slope": [
133 {
134 "gamma": 0.0,
135 "factors": [
136 0.95,
137 0.875
138 ],
139 "predicted_slope": -0.10258658877510116,
140 "observed_slope": -0.10258658895888843,
141 "dominant_mode": 1
142 },
143 {
144 "gamma": 0.2,
145 "factors": [
146 0.75,
147 0.875
148 ],
149 "predicted_slope": -0.26706278524904525,
150 "observed_slope": -0.2670627852490453,
151 "dominant_mode": 2
152 },
153 {
154 "gamma": 0.6,
155 "factors": [
156 0.35,
157 0.875
158 ],
159 "predicted_slope": -0.26706278524904525,
160 "observed_slope": -0.2670627852490453,
161 "dominant_mode": 2
162 },
163 {
164 "gamma": 0.95,
165 "factors": [
166 0.0,
167 0.875
168 ],
169 "predicted_slope": -0.26706278524904525,
170 "observed_slope": -0.2670627852490453,
171 "dominant_mode": 2
172 }
173 ],
174 "ideal_zero_slow_mode": {
175 "expected_fast_slope": -0.26706278524904525,
176 "observed_fast_slope": -0.26706278524904514
177 }
178 },
179 "training_analogue": {
180 "runs": [
181 {
182 "name": "baseline",
183 "initial_A2": 0.2,
184 "final_A2": 8.591599328603505e-09,
185 "factors": [
186 0.9,
187 0.7
188 ],
189 "a2_first_10": [
190 0.2,
191 0.15560000000000002,
192 0.1229,
193 0.09801236000000003,
194 0.078637058,
195 0.06332706971600001,
196 0.0511141423106,
197 0.041313871033499615,
198 0.03342082926047236,
199 0.02704960262541806
200 ]
201 },
202 {
203 "name": "mode_filtered",
204 "initial_A2": 0.52,
205 "final_A2": 8.215923874690776e-26,
206 "factors": [
207 0.15000000000000002,
208 0.7
209 ],
210 "a2_first_10": [
211 0.52,
212 0.24544999999999997,
213 0.12006012499999996,
214 0.05882472781249998,
215 0.02882401012578124,
216 0.014123762565330069,
217 0.006920643603094923,
218 0.003391115364303383,
219 0.001661646528481362,
220 0.0008142067989552532
221 ]
222 }
223 ],
224 "first_filtered_below_baseline_step": 2
225 }
226}