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OQAIVAEI / research /figures /memory_sensing_frontier_data.json
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{
"scope": "Synthetic mathematical constructions and evaluated formulas; no hardware measurements.",
"description": "Executed balanced-subspace constructions at q=24 and B=3; r=q-p. Left: shared balanced optimum r^2/(qB) versus coordinate-storage r/B. Right: action-announced balanced optimum r/(qB). Panels use different vertical scales.",
"source_files": [
"results/codesign_results.json"
],
"data": [
{
"q": 24,
"p": 0,
"r": 24,
"B": 3.0,
"shared_optimum": 8.0,
"announced_optimum": 0.3333333333333333,
"coordinate_storage_shared": 8.0,
"shared_constructed": 8.000000000000005,
"max_random_dual": 7.159160671676621
},
{
"q": 24,
"p": 1,
"r": 23,
"B": 3.0,
"shared_optimum": 7.347222222222222,
"announced_optimum": 0.3194444444444444,
"coordinate_storage_shared": 7.666666666666667,
"shared_constructed": 7.347222222222226,
"max_random_dual": 6.720676579495675
},
{
"q": 24,
"p": 2,
"r": 22,
"B": 3.0,
"shared_optimum": 6.722222222222222,
"announced_optimum": 0.3055555555555556,
"coordinate_storage_shared": 7.333333333333333,
"shared_constructed": 6.7222222222222285,
"max_random_dual": 5.81070246713189
},
{
"q": 24,
"p": 3,
"r": 21,
"B": 3.0,
"shared_optimum": 6.125,
"announced_optimum": 0.2916666666666667,
"coordinate_storage_shared": 7.0,
"shared_constructed": 6.125000000000001,
"max_random_dual": 5.474667483933943
},
{
"q": 24,
"p": 4,
"r": 20,
"B": 3.0,
"shared_optimum": 5.555555555555555,
"announced_optimum": 0.2777777777777778,
"coordinate_storage_shared": 6.666666666666667,
"shared_constructed": 5.555555555555561,
"max_random_dual": 5.0532374179191
},
{
"q": 24,
"p": 5,
"r": 19,
"B": 3.0,
"shared_optimum": 5.013888888888889,
"announced_optimum": 0.2638888888888889,
"coordinate_storage_shared": 6.333333333333333,
"shared_constructed": 5.013888888888894,
"max_random_dual": 4.364476669709382
},
{
"q": 24,
"p": 6,
"r": 18,
"B": 3.0,
"shared_optimum": 4.5,
"announced_optimum": 0.25,
"coordinate_storage_shared": 6.0,
"shared_constructed": 4.500000000000007,
"max_random_dual": 4.191484932306445
},
{
"q": 24,
"p": 7,
"r": 17,
"B": 3.0,
"shared_optimum": 4.013888888888889,
"announced_optimum": 0.2361111111111111,
"coordinate_storage_shared": 5.666666666666667,
"shared_constructed": 4.013888888888892,
"max_random_dual": 3.53487096601044
},
{
"q": 24,
"p": 8,
"r": 16,
"B": 3.0,
"shared_optimum": 3.5555555555555554,
"announced_optimum": 0.2222222222222222,
"coordinate_storage_shared": 5.333333333333333,
"shared_constructed": 3.555555555555556,
"max_random_dual": 3.293600072329871
},
{
"q": 24,
"p": 9,
"r": 15,
"B": 3.0,
"shared_optimum": 3.125,
"announced_optimum": 0.20833333333333334,
"coordinate_storage_shared": 5.0,
"shared_constructed": 3.125000000000004,
"max_random_dual": 2.910021544013448
},
{
"q": 24,
"p": 10,
"r": 14,
"B": 3.0,
"shared_optimum": 2.7222222222222223,
"announced_optimum": 0.19444444444444445,
"coordinate_storage_shared": 4.666666666666667,
"shared_constructed": 2.7222222222222237,
"max_random_dual": 2.4652930668534863
},
{
"q": 24,
"p": 11,
"r": 13,
"B": 3.0,
"shared_optimum": 2.3472222222222223,
"announced_optimum": 0.18055555555555555,
"coordinate_storage_shared": 4.333333333333333,
"shared_constructed": 2.3472222222222254,
"max_random_dual": 2.1472904051815727
},
{
"q": 24,
"p": 12,
"r": 12,
"B": 3.0,
"shared_optimum": 2.0,
"announced_optimum": 0.16666666666666666,
"coordinate_storage_shared": 4.0,
"shared_constructed": 2.0000000000000018,
"max_random_dual": 1.8715684306992886
},
{
"q": 24,
"p": 13,
"r": 11,
"B": 3.0,
"shared_optimum": 1.6805555555555556,
"announced_optimum": 0.1527777777777778,
"coordinate_storage_shared": 3.6666666666666665,
"shared_constructed": 1.680555555555558,
"max_random_dual": 1.5754788091103649
},
{
"q": 24,
"p": 14,
"r": 10,
"B": 3.0,
"shared_optimum": 1.3888888888888888,
"announced_optimum": 0.1388888888888889,
"coordinate_storage_shared": 3.3333333333333335,
"shared_constructed": 1.388888888888891,
"max_random_dual": 1.3234360995817396
},
{
"q": 24,
"p": 15,
"r": 9,
"B": 3.0,
"shared_optimum": 1.125,
"announced_optimum": 0.125,
"coordinate_storage_shared": 3.0,
"shared_constructed": 1.125000000000001,
"max_random_dual": 1.042247907154108
},
{
"q": 24,
"p": 16,
"r": 8,
"B": 3.0,
"shared_optimum": 0.8888888888888888,
"announced_optimum": 0.1111111111111111,
"coordinate_storage_shared": 2.6666666666666665,
"shared_constructed": 0.8888888888888901,
"max_random_dual": 0.8641503410536449
},
{
"q": 24,
"p": 17,
"r": 7,
"B": 3.0,
"shared_optimum": 0.6805555555555556,
"announced_optimum": 0.09722222222222222,
"coordinate_storage_shared": 2.3333333333333335,
"shared_constructed": 0.6805555555555559,
"max_random_dual": 0.6680607074539093
},
{
"q": 24,
"p": 18,
"r": 6,
"B": 3.0,
"shared_optimum": 0.5,
"announced_optimum": 0.08333333333333333,
"coordinate_storage_shared": 2.0,
"shared_constructed": 0.5000000000000006,
"max_random_dual": 0.4955871911059384
},
{
"q": 24,
"p": 19,
"r": 5,
"B": 3.0,
"shared_optimum": 0.3472222222222222,
"announced_optimum": 0.06944444444444445,
"coordinate_storage_shared": 1.6666666666666667,
"shared_constructed": 0.3472222222222227,
"max_random_dual": 0.3402072536982641
},
{
"q": 24,
"p": 20,
"r": 4,
"B": 3.0,
"shared_optimum": 0.2222222222222222,
"announced_optimum": 0.05555555555555555,
"coordinate_storage_shared": 1.3333333333333333,
"shared_constructed": 0.22222222222222257,
"max_random_dual": 0.22082980618710027
},
{
"q": 24,
"p": 21,
"r": 3,
"B": 3.0,
"shared_optimum": 0.125,
"announced_optimum": 0.041666666666666664,
"coordinate_storage_shared": 1.0,
"shared_constructed": 0.12500000000000014,
"max_random_dual": 0.12480493188828702
},
{
"q": 24,
"p": 22,
"r": 2,
"B": 3.0,
"shared_optimum": 0.05555555555555555,
"announced_optimum": 0.027777777777777776,
"coordinate_storage_shared": 0.6666666666666666,
"shared_constructed": 0.05555555555555571,
"max_random_dual": 0.055452391010794994
},
{
"q": 24,
"p": 23,
"r": 1,
"B": 3.0,
"shared_optimum": 0.013888888888888888,
"announced_optimum": 0.013888888888888888,
"coordinate_storage_shared": 0.3333333333333333,
"shared_constructed": 0.01388888888888891,
"max_random_dual": 0.013888888888888888
},
{
"q": 24,
"p": 24,
"r": 0,
"B": 3.0,
"shared_optimum": 0.0,
"announced_optimum": 0.0,
"coordinate_storage_shared": 0.0,
"endpoint": "analytic zero-leakage case"
}
]
}