chromaticindex32-8: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Pierre Le Bodic
Description: Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees.
MIPLIB Entry

Parent Instance (chromaticindex32-8)

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

chromaticindex32-8 Raw chromaticindex32-8 Decomposed chromaticindex32-8 Composite of MIC top 5 chromaticindex32-8 Composite of MIPLIB top 5 chromaticindex32-8 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.
chromaticindex128-5 decomposed neos-2991472-kalu decomposed neos-911970 decomposed supportcase4 decomposed supportcase3 decomposed
Name chromaticindex128-5 [MIPLIB] neos-2991472-kalu [MIPLIB] neos-911970 [MIPLIB] supportcase4 [MIPLIB] supportcase3 [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 / 0.666 2 / 0.837 3 / 0.901 4 / 0.919 5 / 0.931
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
chromaticindex128-5 raw neos-2991472-kalu raw neos-911970 raw supportcase4 raw supportcase3 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.
chromaticindex128-5 decomposed chromaticindex256-8 decomposed chromaticindex512-7 decomposed chromaticindex1024-7 decomposed neos-691058 decomposed
Name chromaticindex128-5 [MIPLIB] chromaticindex256-8 [MIPLIB] chromaticindex512-7 [MIPLIB] chromaticindex1024-7 [MIPLIB] neos-691058 [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 / 0.666 10 / 1.030 105 / 1.288 187 / 1.400 674 / 1.723
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
chromaticindex128-5 raw chromaticindex256-8 raw chromaticindex512-7 raw chromaticindex1024-7 raw neos-691058 raw

Instance Summary

The table below contains summary information for chromaticindex32-8, the five most similar instances to chromaticindex32-8 according to the MIC, and the five most similar instances to chromaticindex32-8 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance chromaticindex32-8 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.000000 -
MIC Top 5 chromaticindex128-5 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.665928 1
neos-2991472-kalu [MIPLIB] Jeff Linderoth (None provided) 0.837432 2
neos-911970 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.900539 3
supportcase4 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.919262 4
supportcase3 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application Solved with ParaSCIP in 1551 seconds with 71 solvers(72 cores). 0.931093 5
MIPLIB Top 5 chromaticindex128-5 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.665928 1
chromaticindex256-8 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.029949 10
chromaticindex512-7 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.288349 105
chromaticindex1024-7 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.399500 187
neos-691058 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.722936 674


chromaticindex32-8: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: chromaticindex
Assigned Model Group Rank/ISS in the MIC: 1 / 1.309

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: chromaticindex Model group: neos-pseudoapplication-40 Model group: fhnw-sq Model group: neos-pseudoapplication-42 Model group: neos-pseudoapplication-70
Name chromaticindex neos-pseudoapplication-40 fhnw-sq neos-pseudoapplication-42 neos-pseudoapplication-70
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 / 1.310 2 / 1.360 3 / 1.656 4 / 1.662 5 / 1.669

Model Group Summary

The table below contains summary information for the five most similar model groups to chromaticindex32-8 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 chromaticindex Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 1.309950 1
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.360202 2
fhnw-sq Simon Felix Combinatorial toy fesability problem: Magic square. Models 1 & 2 are feasible, model 3 is unknown. 1.656008 3
neos-pseudoapplication-42 Jeff Linderoth (None provided) 1.661811 4
neos-pseudoapplication-70 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.669371 5


Updated August 16, 2019