beasleyC2: Instance-to-Instance Comparison Results

Type: Instance
Submitter: F. Ortega, L. Wolsey
Description: Fixed cost network flow problems
MIPLIB Entry

Parent Instance (beasleyC2)

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

beasleyC2 Raw beasleyC2 Decomposed beasleyC2 Composite of MIC top 5 beasleyC2 Composite of MIPLIB top 5 beasleyC2 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.
beasleyC1 decomposed beasleyC3 decomposed ab71-20-100 decomposed aflow30a decomposed nexp-50-20-4-2 decomposed
Name beasleyC1 [MIPLIB] beasleyC3 [MIPLIB] ab71-20-100 [MIPLIB] aflow30a [MIPLIB] nexp-50-20-4-2 [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 / 0.310 2 / 0.338 3 / 0.439 4 / 0.447 5 / 0.448
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
beasleyC1 raw beasleyC3 raw ab71-20-100 raw aflow30a raw nexp-50-20-4-2 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.
beasleyC1 decomposed beasleyC3 decomposed berlin decomposed mc8 decomposed mc7 decomposed
Name beasleyC1 [MIPLIB] beasleyC3 [MIPLIB] berlin [MIPLIB] mc8 [MIPLIB] mc7* [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 / 0.310 2 / 0.338 34 / 0.561 200 / 0.989 200* / 0.989*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
beasleyC1 raw beasleyC3 raw berlin raw mc8 raw mc7 raw

Instance Summary

The table below contains summary information for beasleyC2, the five most similar instances to beasleyC2 according to the MIC, and the five most similar instances to beasleyC2 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance beasleyC2 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.000000 -
MIC Top 5 beasleyC1 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.309574 1
beasleyC3 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.338417 2
ab71-20-100 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.439366 3
aflow30a [MIPLIB] T. Achterberg Arborescence flow problem 0.446523 4
nexp-50-20-4-2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.447719 5
MIPLIB Top 5 beasleyC1 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.309574 1
beasleyC3 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.338417 2
berlin [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.561024 34
mc8 [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.988723 200
mc7* [MIPLIB] F. Ortega, L. Wolsey Fixed cost network flow problems 0.988723* 200*


beasleyC2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: beasley
Assigned Model Group Rank/ISS in the MIC: 1 / 0.606

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: beasley Model group: neos-pseudoapplication-2 Model group: aflow Model group: noip Model group: ab
Name beasley neos-pseudoapplication-2 aflow noip ab
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 / 0.606 2 / 0.741 3 / 0.828 4 / 0.840 5 / 0.882

Model Group Summary

The table below contains summary information for the five most similar model groups to beasleyC2 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 beasley F. Ortega, L. Wolsey Fixed cost network flow problems 0.606261 1
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.740528 2
aflow T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.828160 3
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 0.840139 4
ab MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.881625 5


* mc7 is a duplicate of mc8.