sorrell8: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Toni Sorrell
Description: These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs.
MIPLIB Entry

Parent Instance (sorrell8)

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

sorrell8 Raw sorrell8 Decomposed sorrell8 Composite of MIC top 5 sorrell8 Composite of MIPLIB top 5 sorrell8 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-1516309 decomposed neos-5182409-nasivi decomposed neos-1420546 decomposed neos-3695882-vesdre decomposed neos-1420790 decomposed
Name neos-1516309 [MIPLIB] neos-5182409-nasivi [MIPLIB] neos-1420546 [MIPLIB] neos-3695882-vesdre [MIPLIB] neos-1420790 [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 / 1.217 2 / 1.230 3 / 1.274 4 / 1.372 5 / 1.404
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1516309 raw neos-5182409-nasivi raw neos-1420546 raw neos-3695882-vesdre raw neos-1420790 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.
manna81 decomposed sorrell4 decomposed z26 decomposed sorrell7 decomposed sorrell3 decomposed
Name manna81 [MIPLIB] sorrell4 [MIPLIB] z26 [MIPLIB] sorrell7 [MIPLIB] sorrell3 [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.
574 / 2.188 928 / 2.764 953 / 2.902 985 / 3.692 991 / 3.997
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
manna81 raw sorrell4 raw z26 raw sorrell7 raw sorrell3 raw

Instance Summary

The table below contains summary information for sorrell8, the five most similar instances to sorrell8 according to the MIC, and the five most similar instances to sorrell8 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance sorrell8 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 0.000000 -
MIC Top 5 neos-1516309 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.216968 1
neos-5182409-nasivi [MIPLIB] Jeff Linderoth (None provided) 1.230082 2
neos-1420546 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.274100 3
neos-3695882-vesdre [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.371577 4
neos-1420790 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.404162 5
MIPLIB Top 5 manna81 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 2.188456 574
sorrell4 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 2.763618 928
z26 [MIPLIB] Daniel Bienstock Set packing problem arising from the ongoing "Frequency Spectrum Auction" in the U.S. Work is collaboration with Ion Media Networks, Inc. 2.902152 953
sorrell7 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 3.692276 985
sorrell3 [MIPLIB] Toni Sorrell These instances are based on Neil Sloane's Challenge problems: Independent Sets in Graphs. 3.996686 991


sorrell8: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: independentset
Assigned Model Group Rank/ISS in the MIC: 107 / 2.881

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-73 Model group: neos-pseudoapplication-9 Model group: sing Model group: fjsp Model group: control
Name neos-pseudoapplication-73 neos-pseudoapplication-9 sing fjsp control
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 / 2.139 2 / 2.166 3 / 2.172 4 / 2.173 5 / 2.187

Model Group Summary

The table below contains summary information for the five most similar model groups to sorrell8 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-73 NEOS Server Submission Imported from the MIPLIB2010 submissions. 2.138874 1
neos-pseudoapplication-9 NEOS Server Submission Model coming from the NEOS Server with unknown application. 2.165834 2
sing Daniel Espinoza Imported from the MIPLIB2010 submissions. 2.171769 3
fjsp 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 2.172837 4
control Qie He Optimal control of a discrete-time switched system model Numerically challenging. Different solvers report this model as solved to optimality, infeasible, or unbounded. 2.186964 5