Gale-Nullspace Feature Mixer / results.json
Mechanism confirmed, baseline not beaten
1{
2 "seed": 2486,
3 "predictions": {
4 "P1_exact_nullspace": "||YX^T|| remains at floating-point roundoff",
5 "P2_noise_scaling": "||YX^T|| ~ gamma^1 and normalized penalty ~ gamma^2",
6 "P3_diagonal_gauge": "D=cI preserves zero; nonconstant D produces residual"
7 },
8 "exact_sweep": [
9 {
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11 "b": 5,
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13 "relative_penalty": 6.914097353818902e-33,
14 "rank": 2
15 },
16 {
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18 "b": 7,
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20 "relative_penalty": 8.414393100828013e-33,
21 "rank": 3
22 },
23 {
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25 "b": 9,
26 "residual_norm": 9.645516443905538e-16,
27 "relative_penalty": 6.283162424639603e-33,
28 "rank": 5
29 },
30 {
31 "a": 8,
32 "b": 13,
33 "residual_norm": 2.4587513058959576e-15,
34 "relative_penalty": 1.040637823196967e-32,
35 "rank": 8
36 }
37 ],
38 "noise_sweep": [
39 {
40 "gamma": 1e-06,
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42 "penalty": 2.9855350370475615e-14,
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46 {
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53 {
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56 "penalty": 2.1486493087437117e-11,
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60 {
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67 {
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74 {
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81 {
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94 }
95 ],
96 "noise_loglog_slopes": {
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98 "penalty": 2.000161430017986
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100 "gauge_loglog_slope": 0.8774577224640229,
101 "diagonal_sweep": [
102 {
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105 "penalty": 7.655891334799334e-33
106 },
107 {
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110 "penalty": 6.698134373228444e-06
111 },
112 {
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115 "penalty": 2.7468601307560305e-05
116 },
117 {
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122 {
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127 {
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131 }
132 ],
133 "toy_comparison": {
134 "primary_test_mse": 0.04743790322015813,
135 "gale_combined_test_mse": 0.0024276607671189733,
136 "feature_width_primary": 3,
137 "feature_width_combined": 8
138 }
139}