Greedy Singular-Value Delay Scheduler / results.json

Mechanism confirmed, baseline not beaten

Raw ⬇ ZIP
  1{
  2  "seed": 2273,
  3  "system": {
  4    "damping": 0.08,
  5    "omega": 1.7
  6  },
  7  "checks": [
  8    {
  9      "prediction": "row append monotonicity for every greedy step",
 10      "observed_min_increment": 0.05012270163246657,
 11      "predicted": ">= 0",
 12      "confirmed": true
 13    },
 14    {
 15      "prediction": "first greedy delay follows quarter-period pi/(2 omega)",
 16      "sweep": [
 17        {
 18          "omega": 0.8,
 19          "predicted_quarter": 1.9634954084936207,
 20          "observed_first_delay": 1.925,
 21          "absolute_error": 0.03849540849362065
 22        },
 23        {
 24          "omega": 1.2,
 25          "predicted_quarter": 1.3089969389957472,
 26          "observed_first_delay": 1.3,
 27          "absolute_error": 0.008996938995747161
 28        },
 29        {
 30          "omega": 1.7,
 31          "predicted_quarter": 0.9239978392911157,
 32          "observed_first_delay": 0.925,
 33          "absolute_error": 0.0010021607088843698
 34        },
 35        {
 36          "omega": 2.4,
 37          "predicted_quarter": 0.6544984694978736,
 38          "observed_first_delay": 0.65,
 39          "absolute_error": 0.004498469497873581
 40        },
 41        {
 42          "omega": 3.2,
 43          "predicted_quarter": 0.4908738521234052,
 44          "observed_first_delay": 0.5,
 45          "absolute_error": 0.009126147876594826
 46        }
 47      ],
 48      "max_absolute_error": 0.03849540849362065,
 49      "confirmed": true
 50    },
 51    {
 52      "prediction": "reconstruction MSE scales as noise_std^2 / sigma_min^2",
 53      "sigma_min": 1.3123656942179904,
 54      "sweep": [
 55        {
 56          "noise_std": 0.005,
 57          "mse": 1.3435098455955322e-05,
 58          "mse_over_noise2": 0.5374039382382129
 59        },
 60        {
 61          "noise_std": 0.01,
 62          "mse": 5.374039382382127e-05,
 63          "mse_over_noise2": 0.5374039382382126
 64        },
 65        {
 66          "noise_std": 0.02,
 67          "mse": 0.00021496157529528516,
 68          "mse_over_noise2": 0.5374039382382129
 69        },
 70        {
 71          "noise_std": 0.04,
 72          "mse": 0.0008598463011811406,
 73          "mse_over_noise2": 0.5374039382382129
 74        },
 75        {
 76          "noise_std": 0.08,
 77          "mse": 0.0034393852047245625,
 78          "mse_over_noise2": 0.5374039382382129
 79        }
 80      ],
 81      "ratio_cv": 2.065900425413393e-16,
 82      "confirmed": true
 83    },
 84    {
 85      "prediction": "error decreases with inverse stable margin squared",
 86      "budgets": [
 87        2,
 88        3,
 89        4,
 90        5,
 91        6,
 92        7,
 93        8
 94      ],
 95      "sigma_min": [
 96        0.9286618982869199,
 97        0.9999981654863984,
 98        1.3123656942179904,
 99        1.4152377515213008,
100        1.6045106810965364,
101        1.654633382729003,
102        1.7911640591219735
103      ],
104      "mse": [
105        0.0009761999609550052,
106        0.0007103223956705314,
107        0.0004836635444143915,
108        0.0004018281999065243,
109        0.0003398107780704359,
110        0.000305969145626614,
111        0.00027899835582955183
112      ],
113      "inv_sigma2": [
114        1.1595373576462789,
115        1.0000036690362994,
116        0.5806176872760455,
117        0.49927657487141136,
118        0.3884317978804354,
119        0.36525522376653485,
120        0.31169459221051166
121      ],
122      "correlation": 0.9857708001776943,
123      "confirmed": true
124    }
125  ],
126  "comparison": [
127    {
128      "budget": 4,
129      "greedy_delays": [
130        0.0,
131        0.925,
132        0.9109173514943193,
133        0.01
134      ],
135      "uniform_delays": [
136        0.0,
137        1.3333333333333333,
138        2.6666666666666665,
139        4.0
140      ],
141      "greedy_sigma_min": 1.3123656942179904,
142      "uniform_sigma_min": 1.1092579943318386,
143      "greedy_mse": 0.0004836635444143915,
144      "uniform_mse": 0.0006178467881762747
145    },
146    {
147      "budget": 8,
148      "greedy_delays": [
149        0.0,
150        0.925,
151        0.9109173514943193,
152        0.01,
153        1.0,
154        1.925,
155        2.85,
156        3.7750000000000004
157      ],
158      "uniform_delays": [
159        0.0,
160        0.5714285714285714,
161        1.1428571428571428,
162        1.7142857142857142,
163        2.2857142857142856,
164        2.8571428571428568,
165        3.4285714285714284,
166        4.0
167      ],
168      "greedy_sigma_min": 1.7911640591219735,
169      "uniform_sigma_min": 1.5815832617366312,
170      "greedy_mse": 0.00027899835582955183,
171      "uniform_mse": 0.00030886890747839057
172    },
173    {
174      "budget": 16,
175      "greedy_delays": [
176        0.0,
177        0.925,
178        0.9109173514943193,
179        0.01,
180        1.0,
181        1.925,
182        2.85,
183        3.7750000000000004,
184        8.388166487286595,
185        0.06914753510445207,
186        0.9785472834415636,
187        3.5516728160582933,
188        2.625,
189        1.7000000000000002,
190        0.775,
191        3.5500000000000003
192      ],
193      "uniform_delays": [
194        0.0,
195        0.26666666666666666,
196        0.5333333333333333,
197        0.8,
198        1.0666666666666667,
199        1.3333333333333333,
200        1.6,
201        1.8666666666666667,
202        2.1333333333333333,
203        2.4,
204        2.6666666666666665,
205        2.933333333333333,
206        3.2,
207        3.466666666666667,
208        3.7333333333333334,
209        4.0
210      ],
211      "greedy_sigma_min": 2.4233063383129934,
212      "uniform_sigma_min": 2.276142147817071,
213      "greedy_mse": 0.00015151751369580968,
214      "uniform_mse": 0.00015512739303160728
215    }
216  ]
217}