neos-555424: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Instance coming from the NEOS Server with unknown application
MIPLIB Entry

Parent Instance (neos-555424)

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

neos-555424 Raw neos-555424 Decomposed neos-555424 Composite of MIC top 5 neos-555424 Composite of MIPLIB top 5 neos-555424 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.
neos-4736745-arroux decomposed neos-1593097 decomposed ns1631475 decomposed n5-3 decomposed n9-3 decomposed
Name neos-4736745-arroux [MIPLIB] neos-1593097 [MIPLIB] ns1631475 [MIPLIB] n5-3 [MIPLIB] n9-3 [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 / 0.413 2 / 0.413 3 / 0.447 4 / 0.456 5 / 0.460
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-4736745-arroux raw neos-1593097 raw ns1631475 raw n5-3 raw n9-3 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.
neos-555343 decomposed neos-738098 decomposed ns1856153 decomposed decomp2 decomposed decomp1 decomposed
Name neos-555343 [MIPLIB] neos-738098 [MIPLIB] ns1856153 [MIPLIB] decomp2 [MIPLIB] decomp1 [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.
23 / 0.619 316 / 1.363 688 / 1.838 706 / 1.869 715 / 1.882
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-555343 raw neos-738098 raw ns1856153 raw decomp2 raw decomp1 raw

Instance Summary

The table below contains summary information for neos-555424, the five most similar instances to neos-555424 according to the MIC, and the five most similar instances to neos-555424 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-555424 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.000000 -
MIC Top 5 neos-4736745-arroux [MIPLIB] Jeff Linderoth (None provided) 0.413009 1
neos-1593097 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.413036 2
ns1631475 [MIPLIB] NEOS Server Submission Traveling salesman problem model 0.446540 3
n5-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.456142 4
n9-3 [MIPLIB] A. Atamtürk Capacitated network design problem 0.460443 5
MIPLIB Top 5 neos-555343 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.618978 23
neos-738098 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.363258 316
ns1856153 [MIPLIB] NEOS Server Submission Sensor placement problem 1.838269 688
decomp2 [MIPLIB] Martin Berger Finds special structures in MIPs. 1.868854 706
decomp1 [MIPLIB] Martin Berger Finds special structures in MIPs. 1.881793 715


neos-555424: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-15
Assigned Model Group Rank/ISS in the MIC: 161 / 2.992

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: neos-pseudoapplication-75 Model group: nxy-z Model group: beasley Model group: aflow Model group: noip
Name neos-pseudoapplication-75 nxy-z beasley aflow noip
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 / 0.838 2 / 0.853 3 / 0.869 4 / 0.883 5 / 0.943

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-555424 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-75 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.838472 1
nxy-z A. Atamtürk Capacitated network design problem 0.852762 2
beasley F. Ortega, L. Wolsey Fixed cost network flow problems 0.868508 3
aflow T. Achterberg Arborescence flow problem on a graph with 40 nodes and edge density 0.9 0.883315 4
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 0.943109 5