neos-5052403-cygnet: Instance-to-Instance Comparison Results

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

Parent Instance (neos-5052403-cygnet)

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

neos-5052403-cygnet Raw neos-5052403-cygnet Decomposed neos-5052403-cygnet Composite of MIC top 5 neos-5052403-cygnet Composite of MIPLIB top 5 neos-5052403-cygnet 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-5266653-tugela decomposed nsa decomposed neos-5260764-orauea decomposed neos-2294525-abba decomposed fastxgemm-n2r7s4t1 decomposed
Name neos-5266653-tugela [MIPLIB] nsa [MIPLIB] neos-5260764-orauea [MIPLIB] neos-2294525-abba [MIPLIB] fastxgemm-n2r7s4t1 [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 / 0.991 2 / 1.150 3 / 1.161 4 / 1.179 5 / 1.196
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-5266653-tugela raw nsa raw neos-5260764-orauea raw neos-2294525-abba raw fastxgemm-n2r7s4t1 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.
ex1010-pi decomposed glass-sc decomposed iis-glass-cov decomposed iis-hc-cov decomposed ramos3 decomposed
Name ex1010-pi [MIPLIB] glass-sc [MIPLIB] iis-glass-cov [MIPLIB] iis-hc-cov [MIPLIB] ramos3 [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.
742 / 2.162 777 / 2.238 789 / 2.258 839 / 2.370 888 / 2.536
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
ex1010-pi raw glass-sc raw iis-glass-cov raw iis-hc-cov raw ramos3 raw

Instance Summary

The table below contains summary information for neos-5052403-cygnet, the five most similar instances to neos-5052403-cygnet according to the MIC, and the five most similar instances to neos-5052403-cygnet according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-5052403-cygnet [MIPLIB] Jeff Linderoth (None provided) 0.000000 -
MIC Top 5 neos-5266653-tugela [MIPLIB] Hans Mittelmann Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included 0.991005 1
nsa [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.150462 2
neos-5260764-orauea [MIPLIB] Hans Mittelmann Seem to be VRP output from 2-hour runs of Gurobi on 12 threads is included 1.160711 3
neos-2294525-abba [MIPLIB] Jeff Linderoth (None provided) 1.178807 4
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. 1.196201 5
MIPLIB Top 5 ex1010-pi [MIPLIB] M. Winkler Logic synthesis problem from the 2010 SAT conference pseudo-Boolean competition 2.162152 742
glass-sc [MIPLIB] Marc Pfetsch Set covering problems arising from a Benders algorithm for finding maximum feasible subsystems. More details on the generation is given in the README file in the tarball. 2.238362 777
iis-glass-cov [MIPLIB] Marc Pfetsch 23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created. 2.258274 789
iis-hc-cov [MIPLIB] Marc Pfetsch 23 "middlehard" Set-Covering Instances for MIPLIB: they have a small number of variables compared to the number of constraints and CPLEX 12.1 needs about one hour to solve them.For more information, have a look into the readme file which explains how the instances can be created. 2.369744 839
ramos3 [MIPLIB] F. Ramos Set covering problem from a product manufacturing application 2.535970 888


neos-5052403-cygnet: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-100
Assigned Model Group Rank/ISS in the MIC: 236 / 5.150

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: allcolor Model group: rmatr Model group: map Model group: polygonpack Model group: sp_product
Name allcolor rmatr map polygonpack sp_product
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 / 1.505 2 / 1.617 3 / 1.637 4 / 1.642 5 / 1.666

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-5052403-cygnet according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 allcolor Domenico Salvagnin Prepack optimization model. 1.505348 1
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.617082 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.637342 3
polygonpack Antonio Frangioni Given a set P of polygons, not necessarily convex, and a rectangle, we want to find the subset S of P with largest possible total area and a position every p in S so that there are no overlaps and they are all included in the rectangle. We allow a small set of rotations (0, 90, 180, 270 degrees) for every polygon. The problem is simplified w.r.t. the real application because the polygons do not have (fully encircled) "holes", which are supposedly filled-in separately, although they can have "bays". Models are saved as .lp. Model LpPackingModel_Dim means that we are trying to pack polygons taken from set ; there are currently 5 different sets, and is 7, 10 or 15. 1.642135 4
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.666012 5