Koopman Skew-Dilation RNN / 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": 12
11 },
12 "sweep": [
13 {
14 "cfg": {
15 "lr": 0.001,
16 "epochs": 12
17 },
18 "per_seed": [
19 0.0070558576844632626,
20 0.0025721259880810976,
21 0.0027294710744172335,
22 0.0034412096720188856,
23 0.0046035656705498695,
24 0.003881418611854315,
25 0.003549819579347968,
26 0.008237835951149464
27 ],
28 "mean": 0.004508913028985262,
29 "std": 0.002062311810243919
30 },
31 {
32 "cfg": {
33 "lr": 0.003,
34 "epochs": 12
35 },
36 "per_seed": [
37 0.0019035028526559472,
38 0.0020239646546542645,
39 0.0036072093062102795,
40 0.006420358084142208,
41 0.0027512782253324986,
42 0.0025861035101115704,
43 0.0030072720255702734,
44 0.0019430352840572596
45 ],
46 "mean": 0.0030303404928417876,
47 "std": 0.0014911902872439856
48 },
49 {
50 "cfg": {
51 "lr": 0.01,
52 "epochs": 12
53 },
54 "per_seed": [
55 0.0018195160664618015,
56 0.0012350792530924082,
57 0.0008721873164176941,
58 0.0027302715461701155,
59 0.0014946963638067245,
60 0.0011278137098997831,
61 0.0009376407833769917,
62 0.002133276779204607
63 ],
64 "mean": 0.0015438102273037657,
65 "std": 0.0006459183721555687
66 }
67 ],
68 "harness_tuning": {
69 "best_cfg": {
70 "lr": 0.01,
71 "epochs": 12
72 },
73 "sweep": [
74 {
75 "cfg": {
76 "lr": 0.001,
77 "epochs": 12
78 },
79 "mean": 0.00394966610474512
80 },
81 {
82 "cfg": {
83 "lr": 0.003,
84 "epochs": 12
85 },
86 "mean": 0.003488758724415675
87 },
88 {
89 "cfg": {
90 "lr": 0.01,
91 "epochs": 12
92 },
93 "mean": 0.0016642635455355048
94 }
95 ],
96 "full": {
97 "mean": 0.0015438102273037657,
98 "std": 0.0006042013121072209,
99 "per_seed": [
100 0.0018195160664618015,
101 0.0012350792530924082,
102 0.0008721873164176941,
103 0.0027302715461701155,
104 0.0014946963638067245,
105 0.0011278137098997831,
106 0.0009376407833769917,
107 0.002133276779204607
108 ],
109 "n": 8
110 }
111 },
112 "full": {
113 "per_seed": [
114 0.0018195160664618015,
115 0.0012350792530924082,
116 0.0008721873164176941,
117 0.0027302715461701155,
118 0.0014946963638067245,
119 0.0011278137098997831,
120 0.0009376407833769917,
121 0.002133276779204607
122 ],
123 "mean": 0.0015438102273037657,
124 "std": 0.0006459183721555687
125 }
126 },
127 "idea": {
128 "per_seed": [
129 0.010384509339928627,
130 0.014125057496130466,
131 0.052780672907829285,
132 0.03464017063379288,
133 0.008677596226334572,
134 0.00931015145033598,
135 0.0071034664288163185,
136 0.005731561686843634
137 ],
138 "mean": 0.01784414827125147,
139 "std": 0.016865335320885074
140 },
141 "comparison": {
142 "delta_mean": 0.016300338043947704,
143 "idea_wins": 0,
144 "n_pairs": 8,
145 "per_seed_diffs": [
146 0.008564993273466825,
147 0.012889978243038058,
148 0.05190848559141159,
149 0.03190989908762276,
150 0.007182899862527847,
151 0.008182337740436196,
152 0.006165825645439327,
153 0.0035982849076390266
154 ],
155 "p_value": 0.0081,
156 "mde": 0.014119949734496392,
157 "mde_rel_pct": 914.6169318463842,
158 "verdict": "idea worse (significant)",
159 "system_worked": false
160 },
161 "mechanism_signature": {
162 "idea_sweep": [
163 {
164 "cfg": {
165 "lr": 0.001,
166 "epochs": 12
167 },
168 "per_seed": [
169 0.004393833689391613,
170 0.02482367865741253,
171 0.0714903250336647,
172 0.013632673770189285,
173 0.0009164400398731232,
174 0.009770718403160572,
175 0.024457935243844986,
176 0.019280623644590378
177 ],
178 "mean": 0.0210957785602659,
179 "std": 0.02216245868447279
180 },
181 {
182 "cfg": {
183 "lr": 0.003,
184 "epochs": 12
185 },
186 "per_seed": [
187 0.01244353037327528,
188 0.03397444263100624,
189 0.05305279791355133,
190 0.0075877052731812,
191 0.0036976668052375317,
192 0.003634050488471985,
193 0.02957206219434738,
194 0.011668341234326363
195 ],
196 "mean": 0.019453824614174664,
197 "std": 0.01769262402163577
198 },
199 {
200 "cfg": {
201 "lr": 0.01,
202 "epochs": 12
203 },
204 "per_seed": [
205 0.010384509339928627,
206 0.014125057496130466,
207 0.052780672907829285,
208 0.03464017063379288,
209 0.008677596226334572,
210 0.00931015145033598,
211 0.0071034664288163185,
212 0.005731561686843634
213 ],
214 "mean": 0.01784414827125147,
215 "std": 0.016865335320885074
216 }
217 ],
218 "mechanism_signature": {
219 "prediction": "Cayley preserves lifted norm; explicit Euler grows it",
220 "observed_cayley_relative_norm_error": 5.960464477539062e-07,
221 "observed_euler_20_step_norm_ratio": 1.003595232963562,
222 "trained_test_mse": 0.01244353037327528,
223 "confirmed": true
224 }
225 },
226 "custom_track": null
227}