Table 10 The lowest values of cost function found in this benchmarking for MQLib instances.

From: Benchmark of quantum-inspired heuristic solvers for quadratic unconstrained binary optimization

Input

Value of cost function

Solvers

g000989

 − 2322

HSS, SBM, DA

g003215

 − 821,734

HSS

g001269

 − 45,661

HSS, SBM, DA

g000421

 − 41,680.2

HSS, SBM

g002440

 − 2,000,460

HSS, SBM, SA

g000432

 − 188,363.1

HSS

g000524

 − 4,335,188

HSS, SBM, DA, SA

g002586

 − 7,161,694

HSS, SBM

g001327

 − 9,267,492

HSS, SBM

g001469

 − 1.42273e+07

HSS

g002600

 − 41,194.45

HSS

g000969

 − 6,647,406

HSS, SBM

g002898

 − 1.276648e+07

HSS, SBM, DA

g001581

 − 730,413.1

SBM

g000788

 − 1,962,898

HSS

g000377

 − 445,529

DA

g002569

 − 5.084731e+08

HSS

g001086

 − 3819.935

SA

g001337

 − 4,634,430

DA

g000283

 − 337,340.8

SA

g002512

 − 327,679.6

DA

g000802

 − 2,819,460

SBM

g003059

 − 3,782,885

DA

g002332

 − 4,586,683

SA

g002034

 − 698,788.1

HSS

g003198

 − 1.373565e+08

HSS

g002207

 − 6,781,175

HSS, SBM, DA

g001913

 − 1,177,002

HSS

g001393

 − 358,732

SBM, DA

g002370

 − 5.622634e+07

SA

imgseg-216041

 − 9,572,357

HSS

imgseg-376020

 − 1.376284e+07

HSS

g001883

 − 403,013.1

SBM

g000644

 − 132,820

SBM

g000476

 − 106,794

DA

g002312

 − 2.867864e+07

DA

g002563

 − 5.848182e+07

DA

g000495

 − 1.638467e+07

DA

g002204

 − 1.229112e+08

HSS, SBM, DA

g000503

 − 8.506962e+07

DA

g002527

 − 8,261,389

DA

g001345

 − 4.011876e+07

SA

p7000-2

 − 1.824995e+07

DA

g002300

 − 9.409027e+07

DA

g001651

 − 130,005.8

DA