nj2: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jonathan Eckstein
Description: Electoral district design with various levels of symmetry breaking constraints.
MIPLIB Entry

Parent Instance (nj2)

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

nj2 Raw nj2 Decomposed nj2 Composite of MIC top 5 nj2 Composite of MIPLIB top 5 nj2 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.
nj1 decomposed neos-3581454-haast decomposed allcolor58 decomposed allcolor10 decomposed unitcal_7 decomposed
Name nj1 [MIPLIB] neos-3581454-haast [MIPLIB] allcolor58 [MIPLIB] allcolor10 [MIPLIB] unitcal_7 [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 / 0.345 2 / 0.466 3 / 0.538 4 / 0.547 5 / 0.567
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
nj1 raw neos-3581454-haast raw allcolor58 raw allcolor10 raw unitcal_7 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.
nj1 decomposed neos-799711 decomposed neos-5078479-escaut decomposed nj3 decomposed bharat decomposed
Name nj1 [MIPLIB] neos-799711 [MIPLIB] neos-5078479-escaut [MIPLIB] nj3 [MIPLIB] bharat [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 / 0.345 409 / 1.594 542 / 1.720 708 / 1.953 759 / 2.068
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nj1 raw neos-799711 raw neos-5078479-escaut raw nj3 raw bharat raw

Instance Summary

The table below contains summary information for nj2, the five most similar instances to nj2 according to the MIC, and the five most similar instances to nj2 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance nj2 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 0.000000 -
MIC Top 5 nj1 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 0.344565 1
neos-3581454-haast [MIPLIB] Jeff Linderoth (None provided) 0.465866 2
allcolor58 [MIPLIB] Domenico Salvagnin Prepack optimization model. 0.538452 3
allcolor10 [MIPLIB] Domenico Salvagnin Prepack optimization instance. 0.546976 4
unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 0.566787 5
MIPLIB Top 5 nj1 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 0.344565 1
neos-799711 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 1.594202 409
neos-5078479-escaut [MIPLIB] Jeff Linderoth (None provided) 1.719901 542
nj3 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 1.953429 708
bharat [MIPLIB] Gavin Goodall MILP for optimizing fuel use at a forward operating base 2.068438 759


nj2: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nj
Assigned Model Group Rank/ISS in the MIC: 58 / 2.022

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: sing Model group: neos-pseudoapplication-14 Model group: allcolor Model group: neos-pseudoapplication-27 Model group: graphs
Name sing neos-pseudoapplication-14 allcolor neos-pseudoapplication-27 graphs
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 / 0.727 2 / 0.762 3 / 0.770 4 / 0.838 5 / 0.904

Model Group Summary

The table below contains summary information for the five most similar model groups to nj2 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 sing Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.726606 1
neos-pseudoapplication-14 Jeff Linderoth (None provided) 0.762323 2
allcolor Domenico Salvagnin Prepack optimization model. 0.769860 3
neos-pseudoapplication-27 NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.838453 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 0.903558 5


Updated August 16, 2019