supportcase4: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Michael Winkler
Description: MIP instances collected from Gurobi forum with unknown application
MIPLIB Entry

Parent Instance (supportcase4)

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

supportcase4 Raw supportcase4 Decomposed supportcase4 Composite of MIC top 5 supportcase4 Composite of MIPLIB top 5 supportcase4 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.
opt1217 decomposed bienst2 decomposed bienst1 decomposed newdano decomposed supportcase3 decomposed
Name opt1217 [MIPLIB] bienst2 [MIPLIB] bienst1 [MIPLIB] newdano [MIPLIB] supportcase3 [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 / 0.531 2 / 0.538 3 / 0.541 4 / 0.554 5 / 0.573
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
opt1217 raw bienst2 raw bienst1 raw newdano raw supportcase3 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.
supportcase3 decomposed bnatt500 decomposed bnatt400 decomposed cryptanalysiskb128n5obj14 decomposed cryptanalysiskb128n5obj16 decomposed
Name supportcase3 [MIPLIB] bnatt500 [MIPLIB] bnatt400 [MIPLIB] cryptanalysiskb128n5obj14 [MIPLIB] cryptanalysiskb128n5obj16 [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.
5 / 0.573 194 / 1.289 195 / 1.291 736 / 1.803 741 / 1.811
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
supportcase3 raw bnatt500 raw bnatt400 raw cryptanalysiskb128n5obj14 raw cryptanalysiskb128n5obj16 raw

Instance Summary

The table below contains summary information for supportcase4, the five most similar instances to supportcase4 according to the MIC, and the five most similar instances to supportcase4 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance supportcase4 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 0.000000 -
MIC Top 5 opt1217 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.531392 1
bienst2 [MIPLIB] H. Mittelmann Relaxed version of problem bienst 0.537844 2
bienst1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.540729 3
newdano [MIPLIB] Daniel Bienstock Telecommunications applications 0.554213 4
supportcase3 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application Solved with ParaSCIP in 1551 seconds with 71 solvers(72 cores). 0.572526 5
MIPLIB Top 5 supportcase3 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application Solved with ParaSCIP in 1551 seconds with 71 solvers(72 cores). 0.572526 5
bnatt500 [MIPLIB] Tatsuya Akutsu We are submitting ILP data for identification of a singletonattractor in a Boolean newtork, which is a well-known problemin computational systems biology.This problem is known to be NP-hard and we developed a methodto transform an instance of the problem to an integer linearprogram (ILP).We used ILPs from artificially generated Boolean networks ofindegree 3.The size of the networks are: 350, 400, 500.Even for the case of 500, we could not find a solution within6 hours using CPLEX 11.2 on a PC with XEON 5470 3.33GHz CPU.(This ILP corresponds to the case of size=350.File format is (zipped) CPLEX LP format.)The details of the method appeared in:T. Akutsu, M. Hayashida and T. Tamura, Integer programming-basedmethods for attractor detection and control of Boolean networks,Proc. The combined 48th IEEE Conference on Decision and Controland 28th Chinese Control Conference (IEEE CDC/CCC 2009), 5610-5617, 2009. 1.289324 194
bnatt400 [MIPLIB] Tatsuya Akutsu Model to identify a singleton attractor in a Boolean network, applications in computational systems biology. Solved by SCIP 3.0 with SoPlex 1.7.0 in half an hour. A Intel Core2 Extreme CPU X9659 @3.00GHz was used. 1.290669 195
cryptanalysiskb128n5obj14 [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 1.803083 736
cryptanalysiskb128n5obj16 [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 1.810816 741


supportcase4: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: no model group assignment
Assigned Model Group Rank/ISS in the MIC: N.A. / N.A.

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-1 Model group: neos-pseudoapplication-69 Model group: neos-pseudoapplication-36 Model group: neos-pseudoapplication-40 Model group: neos-pseudoapplication-24
Name neos-pseudoapplication-1 neos-pseudoapplication-69 neos-pseudoapplication-36 neos-pseudoapplication-40 neos-pseudoapplication-24
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 / 1.289 2 / 1.296 3 / 1.366 4 / 1.466 5 / 1.488

Model Group Summary

The table below contains summary information for the five most similar model groups to supportcase4 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-1 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.288964 1
neos-pseudoapplication-69 Jeff Linderoth (None provided) 1.295634 2
neos-pseudoapplication-36 Jeff Linderoth (None provided) 1.365628 3
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.465949 4
neos-pseudoapplication-24 Jeff Linderoth (None provided) 1.488067 5