nj1: 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 (nj1)

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

nj1 Raw nj1 Decomposed nj1 Composite of MIC top 5 nj1 Composite of MIPLIB top 5 nj1 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.
nj2 decomposed neos-3581454-haast decomposed allcolor58 decomposed allcolor10 decomposed unitcal_7 decomposed
Name nj2 [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 / 0.494 4 / 0.499 5 / 0.549
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
nj2 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.
nj2 decomposed maxgasflow decomposed neos-5273874-yomtsa decomposed nj3 decomposed bharat decomposed
Name nj2 [MIPLIB] maxgasflow [MIPLIB] neos-5273874-yomtsa [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 29 / 0.683 398 / 1.534 718 / 1.930 756 / 2.011
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
nj2 raw maxgasflow raw neos-5273874-yomtsa raw nj3 raw bharat raw

Instance Summary

The table below contains summary information for nj1, the five most similar instances to nj1 according to the MIC, and the five most similar instances to nj1 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance nj1 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 0.000000 -
MIC Top 5 nj2 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 0.344565 1
neos-3581454-haast [MIPLIB] Jeff Linderoth (None provided) 0.465552 2
allcolor58 [MIPLIB] Domenico Salvagnin Prepack optimization model. 0.494183 3
allcolor10 [MIPLIB] Domenico Salvagnin Prepack optimization instance. 0.499470 4
unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 0.548535 5
MIPLIB Top 5 nj2 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 0.344565 1
maxgasflow [MIPLIB] G. Gamrath Transport momentum maximization in a capacitated gas network, allowing cycles. Solved by Gurobi 5.0 in 2882 seconds (May 2012). 0.682696 29
neos-5273874-yomtsa [MIPLIB] Hans Mittelmann similar to ns5223573 submitted in January 1.533522 398
nj3 [MIPLIB] Jonathan Eckstein Electoral district design with various levels of symmetry breaking constraints. 1.929595 718
bharat [MIPLIB] Gavin Goodall MILP for optimizing fuel use at a forward operating base 2.010789 756


nj1: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: nj
Assigned Model Group Rank/ISS in the MIC: 64 / 2.010

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-14 Model group: allcolor Model group: sing Model group: sp_product Model group: graphs
Name neos-pseudoapplication-14 allcolor sing sp_product 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 / 0.670 2 / 0.685 3 / 0.707 4 / 0.795 5 / 0.836

Model Group Summary

The table below contains summary information for the five most similar model groups to nj1 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-14 Jeff Linderoth (None provided) 0.670275 1
allcolor Domenico Salvagnin Prepack optimization model. 0.685016 2
sing Daniel Espinoza Imported from the MIPLIB2010 submissions. 0.707344 3
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.795220 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 0.835784 5


Updated August 16, 2019