Instance - neos-4335793-snake


	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.

Decomposed These decomposed images were created by GCG.
Name	neos-3699044-maipo [MIPLIB]	neos-5108386-kalang [MIPLIB]	neos-4976951-bunnoo [MIPLIB]	neos-4972461-bolong [MIPLIB]	neos-5104907-jarama [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 / 0.433	2 / 1.000	3 / 1.027	4 / 1.027	5 / 1.054
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.

Decomposed These decomposed images were created by GCG.
Name	neos-3656078-kumeu [MIPLIB]	fastxgemm-n2r6s0t2 [MIPLIB]	fastxgemm-n2r7s4t1 [MIPLIB]	supportcase17 [MIPLIB]	uccase8 [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.	21 / 1.119	508 / 1.588	545 / 1.619	590 / 1.654	696 / 1.781
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.

Instance Summary

The table below contains summary information for neos-4335793-snake, the five most similar instances to neos-4335793-snake according to the MIC, and the five most similar instances to neos-4335793-snake according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	neos-4335793-snake [MIPLIB]	Jeff Linderoth	(None provided)	0.000000	-
MIC Top 5	neos-3699044-maipo [MIPLIB]	Jeff Linderoth	(None provided)	0.433410	1
	neos-5108386-kalang [MIPLIB]	Jeff Linderoth	(None provided)	0.999941	2
	neos-4976951-bunnoo [MIPLIB]	Jeff Linderoth	(None provided)	1.026923	3
	neos-4972461-bolong [MIPLIB]	Jeff Linderoth	(None provided)	1.027494	4
	neos-5104907-jarama [MIPLIB]	Jeff Linderoth	(None provided)	1.053612	5
MIPLIB Top 5	neos-3656078-kumeu [MIPLIB]	Jeff Linderoth	(None provided)	1.119464	21
	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.	1.587881	508
	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.	1.619063	545
	supportcase17 [MIPLIB]	Michael Winkler	MIP instances collected from Gurobi forum with unknown application	1.653698	590
	uccase8 [MIPLIB]	Daniel Espinoza	Imported from the MIPLIB2010 submissions.	1.780554	696

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-63	neos-pseudoapplication-97	pizza	mario	neos-pseudoapplication-74
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 / 0.566	2 / 1.407	3 / 1.522	4 / 1.608	5 / 1.615

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4335793-snake according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-63	Jeff Linderoth	(None provided)	0.566494	1
	neos-pseudoapplication-97	Jeff Linderoth	(None provided)	1.406558	2
	pizza	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: $> mzn-cplex -v -s -G linear -output-time ../challenge_2012_2016/mznc2016_probs/zephyrus/zephyrus.mzn ../challenge_2012_2016/mznc2016_p/zephyrus/14__8__6__3.dzn -a -timeout 3 -D fIndConstr=true -D fMIPdomains=false -writeModel MODELS_IND/challenge_2012_2016mznc2016_probszephyruszephyrusmzn-challenge_2012_2016mznc2016_probszephyrus14__8__6__3dzn.mps	1.522178	3
	mario	Gleb Belov	These are the models from MiniZinc Challenges 2012-2016 (see www.minizinc.org), compiled for MIP WITH INDICATOR CONSTRAINTS using the develop branch of MiniZinc and CPLEX 12.7.1 on 30 April 2017. Thus, these models can only be handled by solvers accepting indicator constraints. For models compiled with big-M/domain decomposition only, see my previous submission to MIPLIB.To recompile, create a directory MODELS, a list lst12_16.txt of the models with full paths to mzn/dzn files of each model per line, and say$> ~/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	1.608191	4
	neos-pseudoapplication-74	Jeff Linderoth	(None provided)	1.615333	5

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

Model Group Assignment from MIPLIB:	neos-pseudoapplication-44
Assigned Model Group Rank/ISS in the MIC:	111 / 2.358

neos-4335793-snake: Instance-to-Instance Comparison Results

Parent Instance (neos-4335793-snake)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

neos-4335793-snake: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary