neos-3615091-sutlej: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Hans Mittelmann
Description: Collection of anonymous submissions to the NEOS Server for Optimization
MIPLIB Entry

Parent Instance (neos-3615091-sutlej)

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

neos-3615091-sutlej Raw neos-3615091-sutlej Decomposed neos-3615091-sutlej Composite of MIC top 5 neos-3615091-sutlej Composite of MIPLIB top 5 neos-3615091-sutlej 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.
square37 decomposed square31 decomposed square47 decomposed square41 decomposed square23 decomposed
Name square37 [MIPLIB] square31 [MIPLIB] square47 [MIPLIB] square41 [MIPLIB] square23 [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 / 0.786 2 / 0.806 3 / 0.833 4 / 0.836 5 / 0.837
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
square37 raw square31 raw square47 raw square41 raw square23 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.
ns1631475 decomposed neos-2974461-ibar decomposed unitcal_7 decomposed neos-5041822-cockle decomposed gasprod2-2 decomposed
Name ns1631475 [MIPLIB] neos-2974461-ibar [MIPLIB] unitcal_7 [MIPLIB] neos-5041822-cockle [MIPLIB] gasprod2-2 [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.
304 / 1.344 347 / 1.385 400 / 1.428 641 / 1.703 936 / 2.859
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ns1631475 raw neos-2974461-ibar raw unitcal_7 raw neos-5041822-cockle raw gasprod2-2 raw

Instance Summary

The table below contains summary information for neos-3615091-sutlej, the five most similar instances to neos-3615091-sutlej according to the MIC, and the five most similar instances to neos-3615091-sutlej according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-3615091-sutlej [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 0.000000 -
MIC Top 5 square37 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 0.785826 1
square31 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 0.806173 2
square47 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 0.832547 3
square41 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 0.835559 4
square23 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 0.836533 5
MIPLIB Top 5 ns1631475 [MIPLIB] NEOS Server Submission Traveling salesman problem model 1.343877 304
neos-2974461-ibar [MIPLIB] Jeff Linderoth (None provided) 1.384719 347
unitcal_7 [MIPLIB] R. O’Neill California seven day unit commitment problem 1.427882 400
neos-5041822-cockle [MIPLIB] Jeff Linderoth (None provided) 1.703194 641
gasprod2-2 [MIPLIB] Andrew Stamps Production planning model of a second industrial gas system. Two model instances included. 2.858601 936


neos-3615091-sutlej: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-45
Assigned Model Group Rank/ISS in the MIC: 86 / 2.463

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: supportvectormachine Model group: square Model group: hypothyroid Model group: scp Model group: neos-pseudoapplication-109
Name supportvectormachine square hypothyroid scp neos-pseudoapplication-109
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 / 1.357 2 / 1.370 3 / 1.718 4 / 1.819 5 / 1.835

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-3615091-sutlej according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 supportvectormachine Toni Sorrell Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization 1.356946 1
square Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 1.369555 2
hypothyroid 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 1.717811 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 1.818737 4
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.835084 5