neos-1112782: Instance-to-Instance Comparison Results

Type: Instance
Submitter: NEOS Server Submission
Description: Instance coming from the NEOS Server with unknown application
MIPLIB Entry

Parent Instance (neos-1112782)

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

neos-1112782 Raw neos-1112782 Decomposed neos-1112782 Composite of MIC top 5 neos-1112782 Composite of MIPLIB top 5 neos-1112782 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-1112787 decomposed neos-872648 decomposed neos-873061 decomposed h50x2450 decomposed h80x6320d decomposed
Name neos-1112787 [MIPLIB] neos-872648 [MIPLIB] neos-873061 [MIPLIB] h50x2450 [MIPLIB] h80x6320d [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 / 0.225 2 / 0.507 3 / 0.509 4 / 0.580 5 / 0.679
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1112787 raw neos-872648 raw neos-873061 raw h50x2450 raw h80x6320d 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-1112787 decomposed k16x240b decomposed p200x1188c decomposed p500x2988 decomposed p500x2988c decomposed
Name neos-1112787 [MIPLIB] k16x240b [MIPLIB] p200x1188c [MIPLIB] p500x2988 [MIPLIB] p500x2988c* [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.
1 / 0.225 25 / 1.043 105 / 1.178 171 / 1.262 175* / 1.266*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-1112787 raw k16x240b raw p200x1188c raw p500x2988 raw p500x2988c raw

Instance Summary

The table below contains summary information for neos-1112782, the five most similar instances to neos-1112782 according to the MIC, and the five most similar instances to neos-1112782 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-1112782 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.000000 -
MIC Top 5 neos-1112787 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.224702 1
neos-872648 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.507470 2
neos-873061 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.509153 3
h50x2450 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.580423 4
h80x6320d [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.679187 5
MIPLIB Top 5 neos-1112787 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.224702 1
k16x240b [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.042952 25
p200x1188c [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.178256 105
p500x2988 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.261538 171
p500x2988c* [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.266390* 175*


neos-1112782: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-89
Assigned Model Group Rank/ISS in the MIC: 1 / 0.342

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-89 Model group: neos-pseudoapplication-74 Model group: scp Model group: neos-pseudoapplication-2 Model group: supportvectormachine
Name neos-pseudoapplication-89 neos-pseudoapplication-74 scp neos-pseudoapplication-2 supportvectormachine
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 / 0.342 2 / 1.400 3 / 1.512 4 / 1.563 5 / 1.568

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-1112782 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 neos-pseudoapplication-89 NEOS Server Submission Model coming from the NEOS Server with unknown application 0.342396 1
neos-pseudoapplication-74 Jeff Linderoth (None provided) 1.400107 2
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 1.512261 3
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.563212 4
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 1.567769 5


* p500x2988c is a duplicate of p500x2988d.