genus-g61-25: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Stephan Beyer
Description: Minimum Genus instance of g.61.25 (undirected) of the AT&T Graphs by Stephen C. North.
MIPLIB Entry

Parent Instance (genus-g61-25)

All other instances below were be compared against this "query" instance.

genus-g61-25 Raw genus-g61-25 Decomposed genus-g61-25 Composite of MIC top 5 genus-g61-25 Composite of MIPLIB top 5 genus-g61-25 Model Group Composite
Raw This is the CCM image before the decomposition procedure has been applied.
Decomposed This is the CCM image after a decomposition procedure has been applied. This is the image used by the MIC's image-based comparisons for this query instance.
Composite of MIC Top 5 Composite of the five decomposed CCM images from the MIC Top 5.
Composite of MIPLIB Top 5 Composite of the five decomposed CCM images from the MIPLIB Top 5.
Model Group Composite Image Composite of the decomposed CCM images for every instance in the same model group as this query.

MIC Top 5 Instances

These are the 5 decomposed CCM images that are most similar to decomposed CCM image for the the query instance, according to the ISS metric.

Decomposed These decomposed images were created by GCG.
ns930473 decomposed supportcase43 decomposed proteindesign122trx11p8 decomposed proteindesign121pgb11p9 decomposed proteindesign121hz512p19 decomposed
Name ns930473 [MIPLIB] supportcase43 [MIPLIB] proteindesign122trx11p8 [MIPLIB] proteindesign121pgb11p9 [MIPLIB] proteindesign121hz512p19 [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 0.835 2 / 1.032 3 / 1.189 4 / 1.191 5 / 1.199
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
ns930473 raw supportcase43 raw proteindesign122trx11p8 raw proteindesign121pgb11p9 raw proteindesign121hz512p19 raw

MIPLIB Top 5 Instances

These are the 5 instances that are most closely related to the query instance, according to the instance statistic-based similarity measure employed by MIPLIB 2017

Decomposed These decomposed images were created by GCG.
neos-3230376-yser decomposed genus-sym-grafo5708-48 decomposed neos-950242 decomposed genus-sym-g62-2 decomposed supportcase10 decomposed
Name neos-3230376-yser [MIPLIB] genus-sym-grafo5708-48 [MIPLIB] neos-950242 [MIPLIB] genus-sym-g62-2 [MIPLIB] supportcase10 [MIPLIB]
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all model groups. A smaller ISS value indicates greater similarity.
53 / 1.461 687 / 1.888 796 / 2.069 808 / 2.093 935 / 2.672
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3230376-yser raw genus-sym-grafo5708-48 raw neos-950242 raw genus-sym-g62-2 raw supportcase10 raw

Instance Summary

The table below contains summary information for genus-g61-25, the five most similar instances to genus-g61-25 according to the MIC, and the five most similar instances to genus-g61-25 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance genus-g61-25 [MIPLIB] Stephan Beyer Minimum Genus instance of g.61.25 (undirected) of the AT&T Graphs by Stephen C. North. 0.000000 -
MIC Top 5 ns930473 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.834863 1
supportcase43 [MIPLIB] Domenico Salvagnin Instance coming from IBM developerWorks forum with unknown application. 1.031539 2
proteindesign122trx11p8 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.189348 3
proteindesign121pgb11p9 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.190664 4
proteindesign121hz512p19 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.198913 5
MIPLIB Top 5 neos-3230376-yser [MIPLIB] Jeff Linderoth (None provided) 1.461379 53
genus-sym-grafo5708-48 [MIPLIB] Stephan Beyer Minimum Genus instance of grafo5708.48 from the Rome Graphs, with symmetry-breaking constraints. 1.887502 687
neos-950242 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.068703 796
genus-sym-g62-2 [MIPLIB] Stephan Beyer Minimum Genus instance, with symmetry breaking constraints, of g.62.2 (undirected) of the AT&T Graphs by Stephen C. North. 2.093301 808
supportcase10 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 2.671804 935


genus-g61-25: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: genus
Assigned Model Group Rank/ISS in the MIC: 213 / 3.585

MIC Top 5 Model Groups

These are the 5 model group composite (MGC) images that are most similar to the decomposed CCM image for the query instance, according to the ISS metric.

These are model group composite (MGC) images for the MIC top 5 model groups.
Model group: proteindesign Model group: scp Model group: neos-pseudoapplication-84 Model group: neos-pseudoapplication-109 Model group: drayage
Name proteindesign scp neos-pseudoapplication-84 neos-pseudoapplication-109 drayage
Rank / ISS The image-based structural similarity (ISS) metric measures the Euclidean distance between the image-based feature vectors for the query instance and all other instances. A smaller ISS value indicates greater similarity.
1 / 1.753 2 / 1.958 3 / 2.015 4 / 2.069 5 / 2.094

Model Group Summary

The table below contains summary information for the five most similar model groups to genus-g61-25 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 proteindesign Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.753058 1
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.957534 2
neos-pseudoapplication-84 Jeff Linderoth (None provided) 2.015130 3
neos-pseudoapplication-109 Jeff Linderoth (None provided) 2.069065 4
drayage F. Jordan Srour The .rar file contains three folders: 1) R_mps with all of the models (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the models in the form of a pdf. 2.094005 5