The check tested f(gamma) >= gamma/(gamma+1), but the manuscript claims f(gamma) >= c1*gamma/(gamma+1) with c1 >= 0.97. It now tests the stated constant and records the achieved one, 0.9711.
42 lines
979 B
JSON
Executable File
42 lines
979 B
JSON
Executable File
{
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"def2_beta": {
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"theory": 0.39,
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"empirical": 0.3870348174861091,
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"abs_err": 0.0029651825138909405
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},
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"lemma1_rho2_gamma1": {
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"theory": 0.07605,
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"empirical": 0.07755907030722882,
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"abs_err": 0.001509070307228813
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},
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"lemma1_rho2_gamma10": {
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"theory": 0.1382727272727273,
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"empirical": 0.13549989449940597,
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"abs_err": 0.0027728327733213265
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},
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"ofdma_ceiling": {
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"theory": 0.5,
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"empirical_mean": 0.49424545065943004,
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"empirical_std": 0.07545276320615535
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},
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"prop3_lmmse": {
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"mse_closed_form": 0.4824921051778264,
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"mse_empirical_wiener": 0.4821083056134569,
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"rel_diff": 0.0007960857755419693
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},
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"prop3_blind_eq_ofdma": {
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"max_abs_cos_diff": 4.440892098500626e-16
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},
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"appendix_f_bound": {
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"claimed_c1": 0.97,
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"holds_on_grid": true,
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"achieved_c1": 0.9710759305294567
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},
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"appendix_exp_ineq": {
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"holds": true
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},
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"concentration_residual": {
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"d64_residual": 0.125,
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"claimed_max": 0.13
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}
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} |