Equivariant Shared-Mechanism World Model / bench_report.json
Mechanism confirmed, baseline not beaten
1{
2 "bench_version": 1,
3 "track": "dynamics",
4 "model": "rnn_small",
5 "metric_direction": "lower is better",
6 "n_seeds": 8,
7 "baseline": {
8 "best_cfg": {
9 "lr": 0.01,
10 "epochs": 10,
11 "lam": 0.0
12 },
13 "sweep": [
14 {
15 "cfg": {
16 "lr": 0.001,
17 "epochs": 10,
18 "lam": 0.0
19 },
20 "mean": 0.022081697126850486
21 },
22 {
23 "cfg": {
24 "lr": 0.003,
25 "epochs": 10,
26 "lam": 0.0
27 },
28 "mean": 0.0036966767656849697
29 },
30 {
31 "cfg": {
32 "lr": 0.01,
33 "epochs": 10,
34 "lam": 0.0
35 },
36 "mean": 0.0033956777187995613
37 }
38 ],
39 "full": {
40 "mean": 0.0028021317266393453,
41 "std": 0.001671312456779879,
42 "per_seed": [
43 0.001397879095748067,
44 0.004815699998289347,
45 0.0011151251383125782,
46 0.006254006642848253,
47 0.001966016599908471,
48 0.002434998285025358,
49 0.0020769357215613127,
50 0.0023563923314213753
51 ],
52 "n": 8
53 }
54 },
55 "idea": {
56 "mean": 0.002574730635387823,
57 "std": 0.0013220860264022514,
58 "per_seed": [
59 0.0030565059278160334,
60 0.0013654178474098444,
61 0.003834570525214076,
62 0.005198074039071798,
63 0.0012422980507835746,
64 0.0024880883283913136,
65 0.002220690716058016,
66 0.0011921996483579278
67 ],
68 "n": 8
69 },
70 "comparison": {
71 "delta_mean": -0.0002274010912515223,
72 "idea_wins": 4,
73 "n_pairs": 8,
74 "per_seed_diffs": [
75 0.0016586268320679665,
76 -0.0034502821508795023,
77 0.002719445386901498,
78 -0.001055932603776455,
79 -0.0007237185491248965,
80 5.309004336595535e-05,
81 0.00014375499449670315,
82 -0.0011641926830634475
83 ],
84 "p_value": 0.72035,
85 "mde": 0.0015692337631269659,
86 "mde_rel_pct": 56.00142734934808,
87 "verdict": "no significant win",
88 "system_worked": false
89 },
90 "math_check": {
91 "c2_input_composition_max_abs": 0.0,
92 "c2_output_composition_max_abs": 0.0,
93 "exact_transform_identity": true
94 },
95 "idea_sweep": [
96 {
97 "cfg": {
98 "lr": 0.001,
99 "epochs": 10,
100 "lam": 0.05
101 },
102 "mean": 0.022260770318098366
103 },
104 {
105 "cfg": {
106 "lr": 0.001,
107 "epochs": 10,
108 "lam": 0.2
109 },
110 "mean": 0.022491522133350372
111 },
112 {
113 "cfg": {
114 "lr": 0.001,
115 "epochs": 10,
116 "lam": 1.0
117 },
118 "mean": 0.020668090670369565
119 },
120 {
121 "cfg": {
122 "lr": 0.003,
123 "epochs": 10,
124 "lam": 0.05
125 },
126 "mean": 0.0037502831255551428
127 },
128 {
129 "cfg": {
130 "lr": 0.003,
131 "epochs": 10,
132 "lam": 0.2
133 },
134 "mean": 0.0036739293136633933
135 },
136 {
137 "cfg": {
138 "lr": 0.003,
139 "epochs": 10,
140 "lam": 1.0
141 },
142 "mean": 0.00422825881105382
143 },
144 {
145 "cfg": {
146 "lr": 0.01,
147 "epochs": 10,
148 "lam": 0.05
149 },
150 "mean": 0.0037559740303549916
151 },
152 {
153 "cfg": {
154 "lr": 0.01,
155 "epochs": 10,
156 "lam": 0.2
157 },
158 "mean": 0.003363642084877938
159 },
160 {
161 "cfg": {
162 "lr": 0.01,
163 "epochs": 10,
164 "lam": 1.0
165 },
166 "mean": 0.0034596045152284205
167 }
168 ],
169 "structural_match": "controlled pendulum rollout has sign-equivariant local dynamics",
170 "mechanism_signature": {
171 "mean_prediction_abs": 0.7621783018112183,
172 "trained_model_c2_penalty": 0.0005555228563025594,
173 "prediction_metric_seed0": 0.0030565059278160334,
174 "expected_c2_penalty_direction": "lower is more equivariant",
175 "confirmed": true
176 }
177}