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Table 3 Comparison of REMC with simpler methods – minimum versus mean MR (int = 0.2)

From: Core Hunter II: fast core subset selection based on multiple genetic diversity measures using Mixed Replica search

Optimized →

MR

  

MRmin

  

MixedMR**

Algorithm *

MR

(t)

MRmin ∙

  

MRmin

(t)

MR ∙

  

MixedMR

(t)

MRmin ∘

MR ∘

      

Bulk maize data set (275)

      

Local S.

0.572

0.45s

0.258

  

0.392

4.9s

0.548

  

0.471

2.6s

0.380

0.561

MSTRAT

0.572

0.31s

0.258

  

0.386

1.8s

0.543

  

0.470

1.2s

0.380

0.560

LR(2,1)

0.572

0.61s

0.258

  

0.393

1.2s

0.549

  

0.473

1.5s

0.393

0.553

REMC

0.572

1.0s

0.258

  

0.397

35.6s

0.549

  

0.476

23.6s

0.395

0.557

Original

0.440

 

0.116

  

0.116

 

0.440

    

0.116

0.440

      

Accession maize data set (521)

      

Local S.

0.695

2.0s

0.392

  

0.404

0.40s

0.630

  

0.582

4.3s

0.471

0.694

MSTRAT

0.695

1.7s

0.392

  

0.403

0.32s

0.631

  

0.583

4.1s

0.473

0.694

LR(2,1)

0.695

2.9s

0.392

  

0.555

4.3s

0.670

  

0.618

5.9s

0.555

0.681

REMC

0.694

4.0s

0.392

  

0.497

56.7s

0.646

  

0.608

51.0s

0.526

0.690

Original

0.630

 

0.294

  

0.294

 

0.630

    

0.294

0.630

      

Flax data set (708)

      

Local S.

0.512

2.1s

0.223

  

0.226

0.60s

0.468

  

0.406

6.4s

0.300

0.512

MSTRAT

0.512

5.1s

0.223

  

0.226

1.2s

0.469

  

0.404

12.5s

0.296

0.512

LR(2,1)

0.512

7.4s

0.223

  

0.377

10.6s

0.494

  

0.443

15.7s

0.386

0.499

REMC

0.511

5.0s

0.213

  

0.315

30.9s

0.475

  

0.422

39.5s

0.337

0.508

Original

0.468

 

0.000

  

0.000

 

0.468

    

0.000

0.468

      

Pea data set (1283)

      

Local S.

0.593

3.0s

0.000

  

0.000

0.10s

0.509

  

0.302

4.6s

0.011

0.593

MSTRAT

0.593

28.8s

0.000

  

0.000

0.63s

0.510

  

0.299

60.7s

0.006

0.592

LR(2,1)

0.593

34.1s

0.000

  

0.324

50.2s

0.569

  

0.454

01m15s

0.324

0.583

REMC

0.591

50.0s

0.000

  

0.006

36.6s

0.510

  

0.375

60.4s

0.166

0.583

Original

0.509

 

0.000

  

0.000

 

0.509

    

0.000

0.509

      

Large pea data set â–¾ (4429)

      

LR(2,1)

0.594

42m56s

0.000

  

0.243

52m46s

0.554

  

0.411

01h35m

0.243

0.579

REMC

0.577

03m41s

0.000

  

0.000

0.19s

0.463

  

0.273

09m08s

0.000

0.546

Original

0.464

 

0.000

  

0.000

 

0.464

    

0.000

0.464

  1. *For each combination of algorithm, dataset and evaluation measure, 20 independent runs were performed from which averaged results are reported. By default runs were limited by a runtime of 60 seconds, except for the large pea dataset where a runtime limit of 10 minutes was applied. Furthermore the LR method does not accept a runtime limit but continues search until the desired core size has been reached.
  2. **Results shown are those of a pseudo-index containing both minimum and mean MR distance, with equal weight = 0.5.
  3. ∙Not used during optimization, but computed afterwards on the constructed core sets.
  4. ∘Components of mixed MR measure.
  5. â–¾These results were computed on the helios server.