graph20-80-1rand: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Michael Bastubbe
Description: Packing Cuts in Undirected Graphs. Instances are described in 4.1.
MIPLIB Entry

Parent Instance (graph20-80-1rand)

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

graph20-80-1rand Raw graph20-80-1rand Decomposed graph20-80-1rand Composite of MIC top 5 graph20-80-1rand Composite of MIPLIB top 5 graph20-80-1rand 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.
graph40-20-1rand decomposed neos-824661 decomposed neos-826224 decomposed thor50dday decomposed neos-876808 decomposed
Name graph40-20-1rand [MIPLIB] neos-824661 [MIPLIB] neos-826224 [MIPLIB] thor50dday [MIPLIB] neos-876808 [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 / 0.222 2 / 0.315 3 / 0.322 4 / 0.322 5 / 0.333
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
graph40-20-1rand raw neos-824661 raw neos-826224 raw thor50dday raw neos-876808 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.
graph40-20-1rand decomposed graph40-40-1rand decomposed graph40-80-1rand decomposed graph20-20-1rand decomposed neos-3555904-turama decomposed
Name graph40-20-1rand [MIPLIB] graph40-40-1rand [MIPLIB] graph40-80-1rand [MIPLIB] graph20-20-1rand [MIPLIB] neos-3555904-turama [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 / 0.222 28 / 0.416 32 / 0.441 63 / 0.534 508 / 1.465
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
graph40-20-1rand raw graph40-40-1rand raw graph40-80-1rand raw graph20-20-1rand raw neos-3555904-turama raw

Instance Summary

The table below contains summary information for graph20-80-1rand, the five most similar instances to graph20-80-1rand according to the MIC, and the five most similar instances to graph20-80-1rand according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance graph20-80-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.000000 -
MIC Top 5 graph40-20-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.222364 1
neos-824661 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.315436 2
neos-826224 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.321811 3
thor50dday [MIPLIB] Daniel Rehfeldt Steiner tree problem in graphs instance, consisting of a complete graph with 231 vertices of which 50 are terminals. The vertices correspond to cities (mostly capitals) around the world, the edges weights correspond to the distances in km. 0.322334 4
neos-876808 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.332782 5
MIPLIB Top 5 graph40-20-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.222364 1
graph40-40-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.415538 28
graph40-80-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.441102 32
graph20-20-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.533721 63
neos-3555904-turama [MIPLIB] Hans Mittelmann Collection of anonymous submissions to the NEOS Server for Optimization 1.464932 508


graph20-80-1rand: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: graphs
Assigned Model Group Rank/ISS in the MIC: 5 / 0.679

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: n37 Model group: map Model group: rmatr Model group: radiation Model group: graphs
Name n37 map rmatr radiation graphs
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 / 0.554 2 / 0.618 3 / 0.635 4 / 0.664 5 / 0.679

Model Group Summary

The table below contains summary information for the five most similar model groups to graph20-80-1rand according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 n37 J. Aronson Fixed charge transportation problem 0.553549 1
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.618438 2
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 0.634504 3
radiation 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 0.664427 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 0.679400 5