icml26332-fullbatch-results / audit_uniform_bbp.csv
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Reproduction results for ICML 2026 #26332
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act,d,delta,n,M,theta,lam1,lam2,gap,sq_overlap_v1
quad,256,4.0,1024,8.0,random0,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,random1,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,random2,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,random3,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,random4,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,random5,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,random6,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,random7,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,theta_star,8.229165,6.807597,1.421567,0.405878
quad,256,4.0,1024,8.0,adversarial,8.229165,6.807597,1.421567,0.405878
quad,256,16.0,4096,8.0,random0,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,random1,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,random2,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,random3,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,random4,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,random5,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,random6,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,random7,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,theta_star,6.723487,4.23189,2.491597,0.805048
quad,256,16.0,4096,8.0,adversarial,6.723487,4.23189,2.491597,0.805048
quad,256,64.0,16384,8.0,random0,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,random1,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,random2,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,random3,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,random4,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,random5,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,random6,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,random7,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,theta_star,6.516717,3.076075,3.440642,0.947134
quad,256,64.0,16384,8.0,adversarial,6.516717,3.076075,3.440642,0.947134
quad,1024,4.0,4096,8.0,random0,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,random1,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,random2,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,random3,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,random4,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,random5,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,random6,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,random7,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,theta_star,10.302763,8.843481,1.459282,0.4641
quad,1024,4.0,4096,8.0,adversarial,10.302763,8.843481,1.459282,0.4641
quad,1024,16.0,16384,8.0,random0,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,random1,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,random2,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,random3,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,random4,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,random5,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,random6,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,random7,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,theta_star,7.259904,4.705322,2.554581,0.804825
quad,1024,16.0,16384,8.0,adversarial,7.259904,4.705322,2.554581,0.804825
quad,1024,64.0,65536,8.0,random0,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,random1,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,random2,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,random3,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,random4,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,random5,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,random6,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,random7,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,theta_star,6.074553,3.008312,3.066241,0.946452
quad,1024,64.0,65536,8.0,adversarial,6.074553,3.008312,3.066241,0.946452
trunc,256,4.0,1024,4.0,random0,6.737803,5.684714,1.053088,0.422974
trunc,256,4.0,1024,4.0,random1,6.908672,5.679162,1.22951,0.434776
trunc,256,4.0,1024,4.0,random2,6.916543,5.819956,1.096587,0.436627
trunc,256,4.0,1024,4.0,random3,6.929434,5.809485,1.11995,0.424739
trunc,256,4.0,1024,4.0,random4,6.686188,5.785451,0.900738,0.433162
trunc,256,4.0,1024,4.0,random5,6.903519,5.849925,1.053593,0.445665
trunc,256,4.0,1024,4.0,random6,6.930781,5.806193,1.124589,0.4428
trunc,256,4.0,1024,4.0,random7,6.797217,5.767051,1.030166,0.434331
trunc,256,4.0,1024,4.0,theta_star,5.503016,5.005691,0.497325,0.246331
trunc,256,4.0,1024,4.0,adversarial,6.078603,5.224211,0.854392,0.361636
trunc,256,4.0,1024,8.0,random0,8.225596,6.787342,1.438254,0.405252
trunc,256,4.0,1024,8.0,random1,8.194013,6.804919,1.389094,0.408789
trunc,256,4.0,1024,8.0,random2,8.228059,6.804936,1.423122,0.406088
trunc,256,4.0,1024,8.0,random3,8.222685,6.805805,1.41688,0.406253
trunc,256,4.0,1024,8.0,random4,8.226434,6.802495,1.423939,0.406427
trunc,256,4.0,1024,8.0,random5,8.227876,6.780892,1.446984,0.405783
trunc,256,4.0,1024,8.0,random6,8.224911,6.796312,1.428599,0.405041
trunc,256,4.0,1024,8.0,random7,8.22784,6.805833,1.422007,0.40602
trunc,256,4.0,1024,8.0,theta_star,7.968127,6.741639,1.226488,0.419291
trunc,256,4.0,1024,8.0,adversarial,8.125177,6.65041,1.474767,0.387906
trunc,256,4.0,1024,16.0,random0,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,random1,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,random2,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,random3,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,random4,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,random5,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,random6,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,random7,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,theta_star,8.229165,6.807597,1.421567,0.405878
trunc,256,4.0,1024,16.0,adversarial,8.227578,6.807402,1.420176,0.406546
trunc,256,16.0,4096,4.0,random0,5.15242,3.483317,1.669102,0.814452
trunc,256,16.0,4096,4.0,random1,5.116324,3.48344,1.632884,0.812945
trunc,256,16.0,4096,4.0,random2,5.275939,3.503388,1.772552,0.818734
trunc,256,16.0,4096,4.0,random3,5.191449,3.507523,1.683925,0.811623
trunc,256,16.0,4096,4.0,random4,5.198601,3.471778,1.726823,0.809732
trunc,256,16.0,4096,4.0,random5,5.136299,3.48256,1.653739,0.808905
trunc,256,16.0,4096,4.0,random6,5.227711,3.499328,1.728383,0.815568
trunc,256,16.0,4096,4.0,random7,5.056517,3.482696,1.573821,0.82422
trunc,256,16.0,4096,4.0,theta_star,3.276004,2.880345,0.395659,0.609222
trunc,256,16.0,4096,4.0,adversarial,4.77863,3.247843,1.530788,0.78516
trunc,256,16.0,4096,8.0,random0,6.532698,4.128569,2.404129,0.812138
trunc,256,16.0,4096,8.0,random1,6.550861,4.137205,2.413656,0.813036
trunc,256,16.0,4096,8.0,random2,6.524895,4.105996,2.418899,0.810128
trunc,256,16.0,4096,8.0,random3,6.54417,4.129255,2.414915,0.812297
trunc,256,16.0,4096,8.0,random4,6.534524,4.098153,2.436371,0.812099
trunc,256,16.0,4096,8.0,random5,6.520316,4.130735,2.389581,0.814197
trunc,256,16.0,4096,8.0,random6,6.502279,4.098097,2.404183,0.81545
trunc,256,16.0,4096,8.0,random7,6.544249,4.118529,2.425719,0.812715
trunc,256,16.0,4096,8.0,theta_star,5.937332,3.961359,1.975973,0.796157
trunc,256,16.0,4096,8.0,adversarial,6.348636,4.051035,2.297601,0.79868
trunc,256,16.0,4096,16.0,random0,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,random1,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,random2,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,random3,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,random4,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,random5,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,random6,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,random7,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,theta_star,6.723487,4.23189,2.491597,0.805048
trunc,256,16.0,4096,16.0,adversarial,6.715776,4.231093,2.484683,0.803941
trunc,256,64.0,16384,4.0,random0,4.868259,2.577199,2.29106,0.948097
trunc,256,64.0,16384,4.0,random1,4.84858,2.55993,2.28865,0.945562
trunc,256,64.0,16384,4.0,random2,4.853079,2.560431,2.292647,0.945865
trunc,256,64.0,16384,4.0,random3,4.835033,2.557039,2.277994,0.943902
trunc,256,64.0,16384,4.0,random4,4.86737,2.563018,2.304352,0.947888
trunc,256,64.0,16384,4.0,random5,4.853562,2.563458,2.290104,0.949086
trunc,256,64.0,16384,4.0,random6,4.837287,2.567967,2.26932,0.947333
trunc,256,64.0,16384,4.0,random7,4.835259,2.557125,2.278135,0.950019
trunc,256,64.0,16384,4.0,theta_star,2.974635,2.196356,0.778279,0.880792
trunc,256,64.0,16384,4.0,adversarial,4.583105,2.445094,2.138011,0.942482
trunc,256,64.0,16384,8.0,random0,6.17286,2.964899,3.207961,0.949944
trunc,256,64.0,16384,8.0,random1,6.189293,2.964994,3.224299,0.950089
trunc,256,64.0,16384,8.0,random2,6.164492,2.957336,3.207156,0.950049
trunc,256,64.0,16384,8.0,random3,6.192491,2.977163,3.215328,0.949758
trunc,256,64.0,16384,8.0,random4,6.195985,2.969946,3.226038,0.950272
trunc,256,64.0,16384,8.0,random5,6.199005,2.97657,3.222435,0.950059
trunc,256,64.0,16384,8.0,random6,6.206248,2.97628,3.229968,0.949868
trunc,256,64.0,16384,8.0,random7,6.194245,2.972705,3.22154,0.949614
trunc,256,64.0,16384,8.0,theta_star,5.299116,2.822146,2.47697,0.943033
trunc,256,64.0,16384,8.0,adversarial,6.062025,2.914674,3.147352,0.951125
trunc,256,64.0,16384,16.0,random0,6.516681,3.07604,3.440642,0.947137
trunc,256,64.0,16384,16.0,random1,6.516336,3.075939,3.440397,0.947147
trunc,256,64.0,16384,16.0,random2,6.516717,3.076063,3.440654,0.947134
trunc,256,64.0,16384,16.0,random3,6.516694,3.076074,3.44062,0.947132
trunc,256,64.0,16384,16.0,random4,6.516717,3.076075,3.440642,0.947134
trunc,256,64.0,16384,16.0,random5,6.516271,3.075578,3.440693,0.947152
trunc,256,64.0,16384,16.0,random6,6.514136,3.075281,3.438855,0.946765
trunc,256,64.0,16384,16.0,random7,6.516716,3.076075,3.440641,0.947134
trunc,256,64.0,16384,16.0,theta_star,6.516717,3.076075,3.440642,0.947134
trunc,256,64.0,16384,16.0,adversarial,6.510895,3.071031,3.439864,0.946913
trunc,1024,4.0,4096,4.0,random0,7.505197,6.38923,1.115967,0.513278
trunc,1024,4.0,4096,4.0,random1,7.547039,6.485164,1.061874,0.534713
trunc,1024,4.0,4096,4.0,random2,7.410174,6.448346,0.961828,0.527944
trunc,1024,4.0,4096,4.0,random3,7.573973,6.515557,1.058416,0.520879
trunc,1024,4.0,4096,4.0,random4,7.552372,6.459896,1.092476,0.528829
trunc,1024,4.0,4096,4.0,random5,7.482828,6.466202,1.016626,0.538974
trunc,1024,4.0,4096,4.0,random6,7.550769,6.48329,1.067479,0.53008
trunc,1024,4.0,4096,4.0,random7,7.434502,6.47039,0.964113,0.527844
trunc,1024,4.0,4096,4.0,theta_star,5.236549,5.064081,0.172468,0.12477
trunc,1024,4.0,4096,4.0,adversarial,6.55627,5.858799,0.697471,0.469499
trunc,1024,4.0,4096,8.0,random0,9.902821,8.460905,1.441916,0.506729
trunc,1024,4.0,4096,8.0,random1,9.812856,8.426611,1.386246,0.50466
trunc,1024,4.0,4096,8.0,random2,9.868355,8.457052,1.411303,0.503278
trunc,1024,4.0,4096,8.0,random3,9.889993,8.438889,1.451104,0.50421
trunc,1024,4.0,4096,8.0,random4,9.896961,8.462562,1.434399,0.505983
trunc,1024,4.0,4096,8.0,random5,9.890232,8.454616,1.435616,0.507179
trunc,1024,4.0,4096,8.0,random6,9.88717,8.454441,1.432729,0.504621
trunc,1024,4.0,4096,8.0,random7,9.896097,8.456317,1.43978,0.505844
trunc,1024,4.0,4096,8.0,theta_star,8.896432,7.863712,1.032721,0.464577
trunc,1024,4.0,4096,8.0,adversarial,9.409765,8.087298,1.322466,0.483791
trunc,1024,4.0,4096,16.0,random0,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,random1,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,random2,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,random3,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,random4,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,random5,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,random6,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,random7,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,theta_star,10.302763,8.843481,1.459282,0.4641
trunc,1024,4.0,4096,16.0,adversarial,10.26696,8.839628,1.427332,0.459996
trunc,1024,16.0,16384,4.0,random0,5.353938,3.582795,1.771144,0.819822
trunc,1024,16.0,16384,4.0,random1,5.309882,3.566361,1.743521,0.821703
trunc,1024,16.0,16384,4.0,random2,5.388594,3.605041,1.783553,0.813259
trunc,1024,16.0,16384,4.0,random3,5.369542,3.586805,1.782736,0.819936
trunc,1024,16.0,16384,4.0,random4,5.357922,3.583171,1.774751,0.823022
trunc,1024,16.0,16384,4.0,random5,5.323746,3.569427,1.754318,0.815119
trunc,1024,16.0,16384,4.0,random6,5.345249,3.578344,1.766905,0.818138
trunc,1024,16.0,16384,4.0,random7,5.358967,3.580009,1.778958,0.8127
trunc,1024,16.0,16384,4.0,theta_star,3.383072,2.943504,0.439568,0.599105
trunc,1024,16.0,16384,4.0,adversarial,4.871328,3.350742,1.520586,0.804129
trunc,1024,16.0,16384,8.0,random0,6.905119,4.331252,2.573867,0.817412
trunc,1024,16.0,16384,8.0,random1,6.909759,4.330265,2.579494,0.817536
trunc,1024,16.0,16384,8.0,random2,6.893312,4.333246,2.560066,0.818153
trunc,1024,16.0,16384,8.0,random3,6.894421,4.318402,2.576019,0.816583
trunc,1024,16.0,16384,8.0,random4,6.912538,4.336516,2.576022,0.817957
trunc,1024,16.0,16384,8.0,random5,6.904978,4.33492,2.570058,0.81792
trunc,1024,16.0,16384,8.0,random6,6.913784,4.333872,2.579912,0.816953
trunc,1024,16.0,16384,8.0,random7,6.908284,4.328052,2.580231,0.816654
trunc,1024,16.0,16384,8.0,theta_star,6.065363,4.064612,2.00075,0.781129
trunc,1024,16.0,16384,8.0,adversarial,6.71077,4.231558,2.479212,0.809716
trunc,1024,16.0,16384,16.0,random0,7.251931,4.647107,2.604824,0.805986
trunc,1024,16.0,16384,16.0,random1,7.252124,4.647164,2.60496,0.805873
trunc,1024,16.0,16384,16.0,random2,7.252426,4.647135,2.605291,0.806017
trunc,1024,16.0,16384,16.0,random3,7.252477,4.647321,2.605155,0.805974
trunc,1024,16.0,16384,16.0,random4,7.252477,4.647321,2.605155,0.805974
trunc,1024,16.0,16384,16.0,random5,7.252477,4.647321,2.605155,0.805974
trunc,1024,16.0,16384,16.0,random6,7.252465,4.647307,2.605158,0.805976
trunc,1024,16.0,16384,16.0,random7,7.252477,4.647321,2.605155,0.805974
trunc,1024,16.0,16384,16.0,theta_star,7.204958,4.61504,2.589918,0.807978
trunc,1024,16.0,16384,16.0,adversarial,7.23048,4.638232,2.592249,0.806362
trunc,1024,64.0,65536,4.0,random0,4.651051,2.527766,2.123285,0.9493
trunc,1024,64.0,65536,4.0,random1,4.646226,2.518038,2.128188,0.948573
trunc,1024,64.0,65536,4.0,random2,4.629678,2.528371,2.101307,0.949505
trunc,1024,64.0,65536,4.0,random3,4.635641,2.515956,2.119685,0.949287
trunc,1024,64.0,65536,4.0,random4,4.657221,2.527284,2.129937,0.948682
trunc,1024,64.0,65536,4.0,random5,4.644341,2.52636,2.117981,0.948587
trunc,1024,64.0,65536,4.0,random6,4.633961,2.525774,2.108187,0.949699
trunc,1024,64.0,65536,4.0,random7,4.644302,2.521084,2.123218,0.949276
trunc,1024,64.0,65536,4.0,theta_star,2.852262,2.119894,0.732369,0.882425
trunc,1024,64.0,65536,4.0,adversarial,4.425925,2.438254,1.987671,0.946183
trunc,1024,64.0,65536,8.0,random0,5.845106,2.907282,2.937823,0.949167
trunc,1024,64.0,65536,8.0,random1,5.848818,2.907484,2.941334,0.948932
trunc,1024,64.0,65536,8.0,random2,5.84746,2.909974,2.937486,0.949288
trunc,1024,64.0,65536,8.0,random3,5.848516,2.912616,2.9359,0.949636
trunc,1024,64.0,65536,8.0,random4,5.845992,2.914868,2.931123,0.949598
trunc,1024,64.0,65536,8.0,random5,5.857287,2.913638,2.943649,0.949216
trunc,1024,64.0,65536,8.0,random6,5.839714,2.90782,2.931893,0.949543
trunc,1024,64.0,65536,8.0,random7,5.849574,2.911735,2.937839,0.949174
trunc,1024,64.0,65536,8.0,theta_star,5.190042,2.803071,2.386971,0.942655
trunc,1024,64.0,65536,8.0,adversarial,5.762029,2.878681,2.883348,0.948217
trunc,1024,64.0,65536,16.0,random0,6.067275,2.993779,3.073497,0.946857
trunc,1024,64.0,65536,16.0,random1,6.067172,2.993501,3.07367,0.946863
trunc,1024,64.0,65536,16.0,random2,6.06691,2.992279,3.074631,0.946823
trunc,1024,64.0,65536,16.0,random3,6.065724,2.993344,3.07238,0.946845
trunc,1024,64.0,65536,16.0,random4,6.067218,2.993708,3.07351,0.946864
trunc,1024,64.0,65536,16.0,random5,6.067269,2.993783,3.073486,0.946857
trunc,1024,64.0,65536,16.0,random6,6.067231,2.993765,3.073466,0.946857
trunc,1024,64.0,65536,16.0,random7,6.067091,2.993737,3.073354,0.946847
trunc,1024,64.0,65536,16.0,theta_star,6.037076,2.987782,3.049294,0.947067
trunc,1024,64.0,65536,16.0,adversarial,6.062209,2.991131,3.071078,0.946783