Faithful Latent Fixed-Point Solver / results.json
Mechanism confirmed, baseline not beaten
1{
2 "device": "cuda",
3 "exact_predictions": {
4 "contraction_boundary": [
5 {
6 "gamma": 0.6,
7 "predicted_contracts": true,
8 "observed_contracts": true,
9 "12_step_ratio": 0.0021767823359999995
10 },
11 {
12 "gamma": 0.9,
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14 "observed_contracts": true,
15 "12_step_ratio": 0.28242953648100017
16 },
17 {
18 "gamma": 0.99,
19 "predicted_contracts": true,
20 "observed_contracts": true,
21 "12_step_ratio": 0.8863848717161291
22 },
23 {
24 "gamma": 1.0,
25 "predicted_contracts": false,
26 "observed_contracts": false,
27 "12_step_ratio": 1.0
28 },
29 {
30 "gamma": 1.01,
31 "predicted_contracts": false,
32 "observed_contracts": false,
33 "12_step_ratio": 1.1268250301319698
34 },
35 {
36 "gamma": 1.2,
37 "predicted_contracts": false,
38 "observed_contracts": false,
39 "12_step_ratio": 8.916100448255998
40 }
41 ],
42 "rank_threshold": [
43 {
44 "m": 1,
45 "predicted_zero_residual": false,
46 "observed_reconstruction_rmse": 1.3580127872994237
47 },
48 {
49 "m": 2,
50 "predicted_zero_residual": true,
51 "observed_reconstruction_rmse": 7.009263568199308e-08
52 },
53 {
54 "m": 3,
55 "predicted_zero_residual": true,
56 "observed_reconstruction_rmse": 6.040661171869275e-08
57 }
58 ],
59 "rate_transfer": [
60 {
61 "gamma": 0.55,
62 "predicted_asymptotic_rate": 0.55,
63 "observed_rate": 0.55
64 },
65 {
66 "gamma": 0.7,
67 "predicted_asymptotic_rate": 0.7,
68 "observed_rate": 0.7
69 },
70 {
71 "gamma": 0.82,
72 "predicted_asymptotic_rate": 0.82,
73 "observed_rate": 0.82
74 },
75 {
76 "gamma": 0.92,
77 "predicted_asymptotic_rate": 0.92,
78 "observed_rate": 0.92
79 }
80 ]
81 },
82 "learned_sweep": [
83 {
84 "enc_residual": 0.008329980075359344,
85 "decode_residual": 0.2634205222129822,
86 "reconstruction": 0.44254061579704285,
87 "decoded_fixed_point_residual": 0.04089871421456337,
88 "decoded_rate": 0.8153770876266768,
89 "predicted_rate": 0.82,
90 "m": 1
91 },
92 {
93 "enc_residual": 4.997740887802138e-08,
94 "decode_residual": 4.77521808761594e-08,
95 "reconstruction": 5.533928870704585e-08,
96 "decoded_fixed_point_residual": 5.6864088548991276e-08,
97 "decoded_rate": 0.8026181947526162,
98 "predicted_rate": 0.82,
99 "m": 2
100 },
101 {
102 "enc_residual": 5.944584913208928e-08,
103 "decode_residual": 6.582123290854724e-08,
104 "reconstruction": 6.327855572862973e-08,
105 "decoded_fixed_point_residual": 8.568167686462402e-08,
106 "decoded_rate": 0.8026180604199671,
107 "predicted_rate": 0.82,
108 "m": 3
109 }
110 ],
111 "comparison": {
112 "baseline_S_evals": 12,
113 "idea_S_evals": 0,
114 "idea_T_evals": 12,
115 "baseline_fixed_point_rmse": 0.04168358072638512,
116 "idea_fixed_point_rmse": 0.04172297194600105,
117 "baseline_output_residual": 0.007508575916290283,
118 "idea_output_residual": 0.0075163026340305805
119 }
120}