n5-3: Instance-to-Instance Comparison Results

Type: Instance
Submitter: A. Atamtürk
Description: Capacitated network design problem
MIPLIB Entry

Parent Instance (n5-3)

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

n5-3 Raw n5-3 Decomposed n5-3 Composite of MIC top 5 n5-3 Composite of MIPLIB top 5 n5-3 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.
n13-3 decomposed neos-555424 decomposed neos-4321076-ruwer decomposed neos-1593097 decomposed neos-1330346 decomposed
Name n13-3 [MIPLIB] neos-555424 [MIPLIB] neos-4321076-ruwer [MIPLIB] neos-1593097 [MIPLIB] neos-1330346 [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 / 0.450 2 / 0.456 3 / 0.495 4 / 0.496 5 / 0.520
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
n13-3 raw neos-555424 raw neos-4321076-ruwer raw neos-1593097 raw neos-1330346 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.
n13-3 decomposed n9-3 decomposed n6-3 decomposed n7-3 decomposed ta1-UUM decomposed
Name n13-3 [MIPLIB] n9-3 [MIPLIB] n6-3 [MIPLIB] n7-3 [MIPLIB] ta1-UUM [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 / 0.450 10 / 0.595 26 / 0.665 33 / 0.696 284 / 1.337
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
n13-3 raw n9-3 raw n6-3 raw n7-3 raw ta1-UUM raw

Instance Summary

The table below contains summary information for n5-3, the five most similar instances to n5-3 according to the MIC, and the five most similar instances to n5-3 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance n5-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.000000 -
MIC Top 5 n13-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.450377 1
neos-555424 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.456142 2
neos-4321076-ruwer [MIPLIB] Jeff Linderoth (None provided) 0.495241 3
neos-1593097 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.495556 4
neos-1330346 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.520148 5
MIPLIB Top 5 n13-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.450377 1
n9-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.594706 10
n6-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.665016 26
n7-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.696148 33
ta1-UUM [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.337415 284


n5-3: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nxy-z
Assigned Model Group Rank/ISS in the MIC: 1 / 0.680

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: nxy-z Model group: beasley Model group: noip Model group: neos-pseudoapplication-99 Model group: neos-pseudoapplication-7
Name nxy-z beasley noip neos-pseudoapplication-99 neos-pseudoapplication-7
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 / 0.681 2 / 0.971 3 / 1.003 4 / 1.021 5 / 1.025

Model Group Summary

The table below contains summary information for the five most similar model groups to n5-3 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 nxy-z A. Atamtürk Capacitated network design problem 0.680664 1
beasley F. Ortega, L. Wolsey Fixed cost network flow problems 0.970886 2
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.003366 3
neos-pseudoapplication-99 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.020884 4
neos-pseudoapplication-7 Jeff Linderoth (None provided) 1.024820 5


Updated August 16, 2019