chromaticindex256-8: 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 (chromaticindex256-8)

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

chromaticindex256-8 Raw chromaticindex256-8 Decomposed chromaticindex256-8 Composite of MIC top 5 chromaticindex256-8 Composite of MIPLIB top 5 chromaticindex256-8 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.
chromaticindex512-7 decomposed chromaticindex128-5 decomposed chromaticindex1024-7 decomposed chromaticindex32-8 decomposed acc-tight4 decomposed
Name chromaticindex512-7 [MIPLIB] chromaticindex128-5 [MIPLIB] chromaticindex1024-7 [MIPLIB] chromaticindex32-8 [MIPLIB] acc-tight4 [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 / 0.601 2 / 0.608 3 / 0.894 4 / 1.030 5 / 1.356
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
chromaticindex512-7 raw chromaticindex128-5 raw chromaticindex1024-7 raw chromaticindex32-8 raw acc-tight4 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.
chromaticindex512-7 decomposed chromaticindex128-5 decomposed chromaticindex1024-7 decomposed chromaticindex32-8 decomposed netdiversion decomposed
Name chromaticindex512-7 [MIPLIB] chromaticindex128-5 [MIPLIB] chromaticindex1024-7 [MIPLIB] chromaticindex32-8 [MIPLIB] netdiversion [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 / 0.601 2 / 0.608 3 / 0.894 4 / 1.030 460 / 2.207
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
chromaticindex512-7 raw chromaticindex128-5 raw chromaticindex1024-7 raw chromaticindex32-8 raw netdiversion raw

Instance Summary

The table below contains summary information for chromaticindex256-8, the five most similar instances to chromaticindex256-8 according to the MIC, and the five most similar instances to chromaticindex256-8 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance 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. 0.000000 -
MIC Top 5 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. 0.601053 1
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. 0.608248 2
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. 0.894016 3
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. 1.029949 4
acc-tight4 [MIPLIB] J. Walser ACC basketball scheduling instance 1.356498 5
MIPLIB Top 5 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. 0.601053 1
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. 0.608248 2
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. 0.894016 3
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. 1.029949 4
netdiversion [MIPLIB] Chris Cullenbine Directed network diversion problem 2.206956 460


chromaticindex256-8: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: chromaticindex
Assigned Model Group Rank/ISS in the MIC: 1 / 1.381

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-24 Model group: neos-pseudoapplication-104 Model group: neos-pseudoapplication-85 Model group: neos-pseudoapplication-32
Name chromaticindex neos-pseudoapplication-24 neos-pseudoapplication-104 neos-pseudoapplication-85 neos-pseudoapplication-32
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 / 1.382 2 / 2.108 3 / 2.133 4 / 2.162 5 / 2.170

Model Group Summary

The table below contains summary information for the five most similar model groups to chromaticindex256-8 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. 1.381717 1
neos-pseudoapplication-24 Jeff Linderoth (None provided) 2.107842 2
neos-pseudoapplication-104 Jeff Linderoth (None provided) 2.132668 3
neos-pseudoapplication-85 Jeff Linderoth (None provided) 2.162494 4
neos-pseudoapplication-32 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.169760 5


Updated August 16, 2019