cvs16r106-72: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Michael Bastubbe
Description: 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.
MIPLIB Entry

Parent Instance (cvs16r106-72)

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

cvs16r106-72 Raw cvs16r106-72 Decomposed cvs16r106-72 Composite of MIC top 5 cvs16r106-72 Composite of MIPLIB top 5 cvs16r106-72 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.
cvs16r70-62 decomposed cvs16r89-60 decomposed cvs16r128-89 decomposed neos-941313 decomposed sing11 decomposed
Name cvs16r70-62 [MIPLIB] cvs16r89-60 [MIPLIB] cvs16r128-89 [MIPLIB] neos-941313 [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 / 0.274 2 / 0.277 3 / 0.305 4 / 0.442 5 / 0.449
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
cvs16r70-62 raw cvs16r89-60 raw cvs16r128-89 raw neos-941313 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.
cvs16r70-62 decomposed cvs16r89-60 decomposed cvs16r128-89 decomposed cvs08r139-94 decomposed neos-953928 decomposed
Name cvs16r70-62 [MIPLIB] cvs16r89-60 [MIPLIB] cvs16r128-89 [MIPLIB] cvs08r139-94 [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.
1 / 0.274 2 / 0.277 3 / 0.305 40 / 0.609 268 / 1.248
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
cvs16r70-62 raw cvs16r89-60 raw cvs16r128-89 raw cvs08r139-94 raw neos-953928 raw

Instance Summary

The table below contains summary information for cvs16r106-72, the five most similar instances to cvs16r106-72 according to the MIC, and the five most similar instances to cvs16r106-72 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 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. 0.274315 1
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. 0.276823 2
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. 0.305412 3
neos-941313 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.442213 4
sing11 [MIPLIB] Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.449288 5
MIPLIB Top 5 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. 0.274315 1
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. 0.276823 2
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. 0.305412 3
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. 0.608798 40
neos-953928 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.248498 268


cvs16r106-72: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: cvs
Assigned Model Group Rank/ISS in the MIC: 6 / 0.805

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: sing Model group: graphs Model group: neos-pseudoapplication-14 Model group: radiation Model group: n37
Name sing graphs neos-pseudoapplication-14 radiation n37
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 / 0.635 2 / 0.648 3 / 0.746 4 / 0.780 5 / 0.780

Model Group Summary

The table below contains summary information for the five most similar model groups to cvs16r106-72 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 sing Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.635471 1
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 0.647686 2
neos-pseudoapplication-14 Jeff Linderoth (None provided) 0.746134 3
radiation 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 0.779764 4
n37 J. Aronson Fixed charge transportation problem 0.780478 5


Updated August 16, 2019