cvs08r139-94: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Michael Bastubbe
Description: Capacitated vertex separator problem on randomly generated hypergraph with 139 vertices and 94 hyperedges in at most 8 components each including at most 21 vertices.
MIPLIB Entry

Parent Instance (cvs08r139-94)

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

cvs08r139-94 Raw cvs08r139-94 Decomposed cvs08r139-94 Composite of MIC top 5 cvs08r139-94 Composite of MIPLIB top 5 cvs08r139-94 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.
neos-1337307 decomposed neos2 decomposed allcolor10 decomposed allcolor58 decomposed sing11 decomposed
Name neos-1337307 [MIPLIB] neos2 [MIPLIB] allcolor10 [MIPLIB] allcolor58 [MIPLIB] sing11 [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 / 0.513 2 / 0.555 3 / 0.586 4 / 0.590 5 / 0.604
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1337307 raw neos2 raw allcolor10 raw allcolor58 raw sing11 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.
cvs16r106-72 decomposed cvs16r89-60 decomposed cvs16r70-62 decomposed cvs16r128-89 decomposed neos-953928 decomposed
Name cvs16r106-72 [MIPLIB] cvs16r89-60 [MIPLIB] cvs16r70-62 [MIPLIB] cvs16r128-89 [MIPLIB] neos-953928 [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.
6 / 0.609 9 / 0.617 11 / 0.641 18 / 0.668 282 / 1.237
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
cvs16r106-72 raw cvs16r89-60 raw cvs16r70-62 raw cvs16r128-89 raw neos-953928 raw

Instance Summary

The table below contains summary information for cvs08r139-94, the five most similar instances to cvs08r139-94 according to the MIC, and the five most similar instances to cvs08r139-94 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance cvs08r139-94 [MIPLIB] Michael Bastubbe Capacitated vertex separator problem on randomly generated hypergraph with 139 vertices and 94 hyperedges in at most 8 components each including at most 21 vertices. 0.000000 -
MIC Top 5 neos-1337307 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.513323 1
neos2 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.555036 2
allcolor10 [MIPLIB] Domenico Salvagnin Prepack optimization instance. 0.585597 3
allcolor58 [MIPLIB] Domenico Salvagnin Prepack optimization model. 0.589828 4
sing11 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.604238 5
MIPLIB Top 5 cvs16r106-72 [MIPLIB] Michael Bastubbe Capacitated vertex separator problem on randomly generated hypergraph with 106 vertices and 72 hyperedges in at most 16 components each including at most 7 vertices. 0.608798 6
cvs16r89-60 [MIPLIB] Michael Bastubbe Capacitated vertex separator problem on randomly generated hypergraph with 89 vertices and 60 hyperedges in at most 16 components each including at most 6 vertices. 0.616996 9
cvs16r70-62 [MIPLIB] Michael Bastubbe Capacitated vertex separator problem on randomly generated hypergraph with 70 vertices and 62 hyperedges in at most 16 components each including at most 5 vertices. 0.641473 11
cvs16r128-89 [MIPLIB] Michael Bastubbe Capacitated vertex separator problem on randomly generated hypergraph with 128 vertices and 89 hyperedges in at most 16 components each including at most 8 vertices. solved with default GCG/Soplex in about 2000 seconds. 0.668396 18
neos-953928 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.237173 282


cvs08r139-94: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: cvs
Assigned Model Group Rank/ISS in the MIC: 1 / 0.722

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: cvs Model group: neos-pseudoapplication-14 Model group: allcolor Model group: sing Model group: sp_product
Name cvs neos-pseudoapplication-14 allcolor sing sp_product
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 / 0.723 2 / 0.876 3 / 0.893 4 / 0.917 5 / 0.928

Model Group Summary

The table below contains summary information for the five most similar model groups to cvs08r139-94 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 cvs Michael Bastubbe Capacitated vertex separator problem on randomly generated hypergraph with 128 vertices and 89 hyperedges in at most 16 components each including at most 8 vertices. solved with default GCG/Soplex in about 2000 seconds. 0.722932 1
neos-pseudoapplication-14 Jeff Linderoth (None provided) 0.876349 2
allcolor Domenico Salvagnin Prepack optimization model. 0.892636 3
sing Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.917361 4
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.928312 5


Updated August 16, 2019