neos-3656078-kumeu: Instance-to-Instance Comparison Results

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

Parent Instance (neos-3656078-kumeu)

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

neos-3656078-kumeu Raw neos-3656078-kumeu Decomposed neos-3656078-kumeu Composite of MIC top 5 neos-3656078-kumeu Composite of MIPLIB top 5 neos-3656078-kumeu 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-3654993-kolva decomposed neos-3709489-menik decomposed neos-3672928-linge decomposed opt1217 decomposed bienst1 decomposed
Name neos-3654993-kolva [MIPLIB] neos-3709489-menik [MIPLIB] neos-3672928-linge [MIPLIB] opt1217 [MIPLIB] bienst1 [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 / 0.375 2 / 0.628 3 / 0.821 4 / 0.895 5 / 0.915
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3654993-kolva raw neos-3709489-menik raw neos-3672928-linge raw opt1217 raw bienst1 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-3672928-linge decomposed neos-4335793-snake decomposed fastxgemm-n2r6s0t2 decomposed fastxgemm-n2r7s4t1 decomposed supportcase17 decomposed
Name neos-3672928-linge [MIPLIB] neos-4335793-snake [MIPLIB] fastxgemm-n2r6s0t2 [MIPLIB] fastxgemm-n2r7s4t1 [MIPLIB] supportcase17 [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.
3 / 0.821 41 / 1.119 407 / 1.506 470 / 1.543 575 / 1.638
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-3672928-linge raw neos-4335793-snake raw fastxgemm-n2r6s0t2 raw fastxgemm-n2r7s4t1 raw supportcase17 raw

Instance Summary

The table below contains summary information for neos-3656078-kumeu, the five most similar instances to neos-3656078-kumeu according to the MIC, and the five most similar instances to neos-3656078-kumeu according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3656078-kumeu [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 neos-3654993-kolva [MIPLIB] Jeff Linderoth (None provided) 0.375475 1
neos-3709489-menik [MIPLIB] Jeff Linderoth (None provided) 0.627572 2
neos-3672928-linge [MIPLIB] Jeff Linderoth (None provided) 0.820582 3
opt1217 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.895255 4
bienst1 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.915268 5
MIPLIB Top 5 neos-3672928-linge [MIPLIB] Jeff Linderoth (None provided) 0.820582 3
neos-4335793-snake [MIPLIB] Jeff Linderoth (None provided) 1.119464 41
fastxgemm-n2r6s0t2 [MIPLIB] Laurent Sorber Naive multiplication of two N by N matrices requires N^3 scalar multiplications. For N=2, Strassen showed that it could be done in only R=7 < 8=N^3 multiplications. For N=3, it is known that 19 <= R <= 23, and for N=4 it is known that 34 <= R <= 49. This repository contains code that generates a mixed-integer linear program (MILP) formulation of the fast matrix multiplication problem for finding solutions with R < N^3 and proving that they are optimal. For a more detailed description, see the accompanying manuscript. 1.506258 407
fastxgemm-n2r7s4t1 [MIPLIB] Laurent Sorber Naive multiplication of two N by N matrices requires N^3 scalar multiplications. For N=2, Strassen showed that it could be done in only R=7 < 8=N^3 multiplications. For N=3, it is known that 19 <= R <= 23, and for N=4 it is known that 34 <= R <= 49. This repository contains code that generates a mixed-integer linear program (MILP) formulation of the fast matrix multiplication problem for finding solutions with R < N^3 and proving that they are optimal. For a more detailed description, see the accompanying manuscript. 1.543478 470
supportcase17 [MIPLIB] Michael Winkler MIP instances collected from Gurobi forum with unknown application 1.637904 575


neos-3656078-kumeu: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-44
Assigned Model Group Rank/ISS in the MIC: 49 / 2.064

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-97 Model group: neos-pseudoapplication-1 Model group: mario Model group: mc Model group: neos-pseudoapplication-40
Name neos-pseudoapplication-97 neos-pseudoapplication-1 mario mc neos-pseudoapplication-40
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 / 1.120 2 / 1.477 3 / 1.492 4 / 1.559 5 / 1.597

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3656078-kumeu according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-97 Jeff Linderoth (None provided) 1.119780 1
neos-pseudoapplication-1 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.477045 2
mario Gleb Belov These are the models from MiniZinc Challenges 2012-2016 (see www.minizinc.org), compiled for MIP WITH INDICATOR CONSTRAINTS using the develop branch of MiniZinc and CPLEX 12.7.1 on 30 April 2017. Thus, these models can only be handled by solvers accepting indicator constraints. For models compiled with big-M/domain decomposition only, see my previous submission to MIPLIB.To recompile, create a directory MODELS, a list lst12_16.txt of the models with full paths to mzn/dzn files of each model per line, and say$> ~/install/libmzn/tests/benchmarking/mzn-test.py -l ../lst12_16.txt -slvPrf MZN-CPLEX -debug 1 -addOption "-timeout 3 -D fIndConstr=true -D fMIPdomains=false" -useJoinedName "-writeModel MODELS_IND/%s.mps" Alternatively, you can compile individual model as follows: $> mzn-cplex -v -s -G linear -output-time ../challenge_2012_2016/mznc2016_probs/zephyrus/zephyrus.mzn ../challenge_2012_2016/mznc2016_p/zephyrus/14__8__6__3.dzn -a -timeout 3 -D fIndConstr=true -D fMIPdomains=false -writeModel MODELS_IND/challenge_2012_2016mznc2016_probszephyruszephyrusmzn-challenge_2012_2016mznc2016_probszephyrus14__8__6__3dzn.mps 1.492011 3
mc F. Ortega, L. Wolsey Fixed cost network flow problems 1.558777 4
neos-pseudoapplication-40 Jeff Linderoth (None provided) 1.596863 5