l2p12: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Gleb Belov
Description: 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
MIPLIB Entry

Parent Instance (l2p12)

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

l2p12 Raw l2p12 Decomposed l2p12 Composite of MIC top 5 l2p12 Composite of MIPLIB top 5 l2p12 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-3046615-murg decomposed neos-3610173-itata decomposed neos-3046601-motu decomposed neos-3610051-istra decomposed neos16 decomposed
Name neos-3046615-murg [MIPLIB] neos-3610173-itata [MIPLIB] neos-3046601-motu [MIPLIB] neos-3610051-istra [MIPLIB] neos16 [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 / 0.630 2 / 0.641 3 / 0.654 4 / 0.668 5 / 0.668
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3046615-murg raw neos-3610173-itata raw neos-3046601-motu raw neos-3610051-istra raw neos16 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.
loopha13 decomposed lectsched-5-obj decomposed neos-3654993-kolva decomposed neos-3709489-menik decomposed lectsched-4-obj decomposed
Name loopha13 [MIPLIB] lectsched-5-obj [MIPLIB] neos-3654993-kolva [MIPLIB] neos-3709489-menik [MIPLIB] lectsched-4-obj [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.
147 / 1.360 294 / 1.508 494 / 1.697 510 / 1.718 593 / 1.798
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
loopha13 raw lectsched-5-obj raw neos-3654993-kolva raw neos-3709489-menik raw lectsched-4-obj raw

Instance Summary

The table below contains summary information for l2p12, the five most similar instances to l2p12 according to the MIC, and the five most similar instances to l2p12 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance l2p12 [MIPLIB] 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 0.000000 -
MIC Top 5 neos-3046615-murg [MIPLIB] Jeff Linderoth (None provided) 0.629519 1
neos-3610173-itata [MIPLIB] Jeff Linderoth (None provided) 0.641478 2
neos-3046601-motu [MIPLIB] Jeff Linderoth (None provided) 0.653831 3
neos-3610051-istra [MIPLIB] Jeff Linderoth (None provided) 0.668086 4
neos16 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application 0.668266 5
MIPLIB Top 5 loopha13 [MIPLIB] Hamideh This is a Gams model which uses CPLEX as a solver. 1.359539 147
lectsched-5-obj [MIPLIB] Harald Schilly scheduling lectures at university - smaller subset of data with objective to minimize certain overlappings 1.508323 294
neos-3654993-kolva [MIPLIB] Jeff Linderoth (None provided) 1.697152 494
neos-3709489-menik [MIPLIB] Jeff Linderoth (None provided) 1.717969 510
lectsched-4-obj [MIPLIB] Harald Schilly University lecture scheduling instance 1.798226 593


l2p12: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: l2p
Assigned Model Group Rank/ISS in the MIC: 74 / 2.277

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: rmatr Model group: neos-pseudoapplication-54 Model group: map Model group: ustun Model group: hypothyroid
Name rmatr neos-pseudoapplication-54 map ustun hypothyroid
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 / 1.004 2 / 1.053 3 / 1.123 4 / 1.240 5 / 1.296

Model Group Summary

The table below contains summary information for the five most similar model groups to l2p12 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 1.003835 1
neos-pseudoapplication-54 Jeff Linderoth (None provided) 1.052778 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 1.123161 3
ustun Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 1.239773 4
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 1.296171 5


Updated August 16, 2019