neos-574665: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Imported from the MIPLIB2010 submissions.
MIPLIB Entry

Parent Instance (neos-574665)

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

neos-574665 Raw neos-574665 Decomposed neos-574665 Composite of MIC top 5 neos-574665 Composite of MIPLIB top 5 neos-574665 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.
square23 decomposed square31 decomposed square37 decomposed square41 decomposed square47 decomposed
Name square23 [MIPLIB] square31 [MIPLIB] square37 [MIPLIB] square41 [MIPLIB] square47 [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 / 1.013 2 / 1.066 3 / 1.066 4 / 1.066 5 / 1.099
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
square23 raw square31 raw square37 raw square41 raw square47 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.
gt2 decomposed markshare_5_0 decomposed markshare_4_0 decomposed markshare1 decomposed neos-5045105-creuse decomposed
Name gt2 [MIPLIB] markshare_5_0 [MIPLIB] markshare_4_0 [MIPLIB] markshare1 [MIPLIB] neos-5045105-creuse [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.
87 / 1.394 316 / 1.572 326 / 1.578 362 / 1.601 831 / 2.216
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
gt2 raw markshare_5_0 raw markshare_4_0 raw markshare1 raw neos-5045105-creuse raw

Instance Summary

The table below contains summary information for neos-574665, the five most similar instances to neos-574665 according to the MIC, and the five most similar instances to neos-574665 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-574665 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 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.) 1.013300 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.) 1.065604 2
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.) 1.066362 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.) 1.066443 4
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.) 1.099451 5
MIPLIB Top 5 gt2 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.393625 87
markshare_5_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.572032 316
markshare_4_0 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.578101 326
markshare1 [MIPLIB] G. Cornuéjols, M. Dawande Market sharing problem 1.601111 362
neos-5045105-creuse [MIPLIB] Jeff Linderoth (None provided) 2.215512 831


neos-574665: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-78
Assigned Model Group Rank/ISS in the MIC: 199 / 3.558

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: square Model group: supportvectormachine Model group: noip Model group: neos-pseudoapplication-74 Model group: drayage
Name square supportvectormachine noip neos-pseudoapplication-74 drayage
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 / 1.166 2 / 1.668 3 / 1.730 4 / 1.757 5 / 1.764

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-574665 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 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.) 1.165579 1
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 1.667876 2
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.729583 3
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.757116 4
drayage F. Jordan Srour The .rar file contains three folders: 1) R_mps with all of the models (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the models in the form of a pdf. 1.764464 5