neos-2991472-kalu: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: (None provided)
MIPLIB Entry

Parent Instance (neos-2991472-kalu)

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

neos-2991472-kalu Raw neos-2991472-kalu Decomposed neos-2991472-kalu Composite of MIC top 5 neos-2991472-kalu Composite of MIPLIB top 5 neos-2991472-kalu 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-911970 decomposed chromaticindex32-8 decomposed supportcase3 decomposed opt1217 decomposed supportcase4 decomposed
Name neos-911970 [MIPLIB] chromaticindex32-8 [MIPLIB] supportcase3 [MIPLIB] opt1217 [MIPLIB] supportcase4 [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 / 0.794 2 / 0.837 3 / 0.844 4 / 0.868 5 / 0.870
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-911970 raw chromaticindex32-8 raw supportcase3 raw opt1217 raw supportcase4 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.
hypothyroid-k1 decomposed k1mushroom decomposed supportcase18 decomposed splice1k1 decomposed usafa decomposed
Name hypothyroid-k1 [MIPLIB] k1mushroom [MIPLIB] supportcase18 [MIPLIB] splice1k1 [MIPLIB] hypothyroid-k1** [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.
439 / 1.470 688 / 1.648 698 / 1.666 713 / 1.685 N.A.** / N.A.**
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
hypothyroid-k1 raw k1mushroom raw supportcase18 raw splice1k1 raw usafa raw

Instance Summary

The table below contains summary information for neos-2991472-kalu, the five most similar instances to neos-2991472-kalu according to the MIC, and the five most similar instances to neos-2991472-kalu according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-2991472-kalu [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 neos-911970 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.793907 1
chromaticindex32-8 [MIPLIB] Pierre Le Bodic Simple edge-coloring model on chains of Petersen-like subgraphs, designed to fool MIP solvers into producing very large Branch-and-Bound trees. 0.837432 2
supportcase3 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application Solved with ParaSCIP in 1551 seconds with 71 solvers(72 cores). 0.843743 3
opt1217 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.867743 4
supportcase4 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.869841 5
MIPLIB Top 5 hypothyroid-k1 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.470015 439
k1mushroom [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.648156 688
supportcase18 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.665542 698
splice1k1 [MIPLIB] Gleb Belov Linearized Constraint Programming models of the MiniZinc Challenges 2012-2016. I should be able to produce versions with indicator constraints supported by Gurobi and CPLEX, however don't know if you can use them and if there is a standard format. These MPS were produced by Gurobi 7.0.2 using the MiniZinc develop branch on eb536656062ca13325a96b5d0881742c7d0e3c38 1.684780 713
hypothyroid-k1** [MIPLIB] Christopher Daniel Richards Population Complete Timetabling Problem for the United States Air Force Academy N.A.** N.A.**


neos-2991472-kalu: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-77
Assigned Model Group Rank/ISS in the MIC: 44 / 1.825

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-40 Model group: neos-pseudoapplication-74 Model group: pfour Model group: scp Model group: neos-pseudoapplication-97
Name neos-pseudoapplication-40 neos-pseudoapplication-74 pfour scp neos-pseudoapplication-97
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 / 1.178 2 / 1.251 3 / 1.410 4 / 1.476 5 / 1.479

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-2991472-kalu according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.177600 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.251052 2
pfour MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.409744 3
scp Shunji Umetani This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark 1.476322 4
neos-pseudoapplication-97 Jeff Linderoth (None provided) 1.478940 5


** usafa could not be decomposed by GCG, and was not included in our dataset.