neos-876808: Instance-to-Instance Comparison Results

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

Parent Instance (neos-876808)

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

neos-876808 Raw neos-876808 Decomposed neos-876808 Composite of MIC top 5 neos-876808 Composite of MIPLIB top 5 neos-876808 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.
thor50dday decomposed graph40-20-1rand decomposed ns1430538 decomposed cap6000 decomposed graph40-40-1rand decomposed
Name thor50dday [MIPLIB] graph40-20-1rand [MIPLIB] ns1430538 [MIPLIB] cap6000 [MIPLIB] graph40-40-1rand [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 / 0.227 2 / 0.272 3 / 0.283 4 / 0.309 5 / 0.313
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
thor50dday raw graph40-20-1rand raw ns1430538 raw cap6000 raw graph40-40-1rand 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.
s1234 decomposed neos-4954274-beardy decomposed bnatt400 decomposed bnatt500 decomposed circ10-3 decomposed
Name s1234 [MIPLIB] neos-4954274-beardy [MIPLIB] bnatt400 [MIPLIB] bnatt500 [MIPLIB] circ10-3 [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.
274 / 1.093 296 / 1.130 525 / 1.468 547 / 1.496 825 / 2.195
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
s1234 raw neos-4954274-beardy raw bnatt400 raw bnatt500 raw circ10-3 raw

Instance Summary

The table below contains summary information for neos-876808, the five most similar instances to neos-876808 according to the MIC, and the five most similar instances to neos-876808 according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-876808 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.000000 -
MIC Top 5 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. 0.226862 1
graph40-20-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.271775 2
ns1430538 [MIPLIB] NEOS Server Submission Instance coming from the NEOS Server with unknown application. 0.283453 3
cap6000 [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.309226 4
graph40-40-1rand [MIPLIB] Michael Bastubbe Packing Cuts in Undirected Graphs. Instances are described in 4.1. 0.312979 5
MIPLIB Top 5 s1234 [MIPLIB] Siwei Sun These models come from my cryptographic research and are used to search for the best differential characteristics of the round-reduced versions of the block cipher Serpent with the mixed-integer programming technique. For all the models, including S1234.lp, S56701.lp, S456701.lp, I have found a feasible solution in the corresponding mst file. The challenge is that can we find better solutions or can we find the best solutions. 1.093059 274
neos-4954274-beardy [MIPLIB] Jeff Linderoth Reported solved after 77000 seconds using Gurobi with 32 threads. 1.130436 296
bnatt400 [MIPLIB] Tatsuya Akutsu Model to identify a singleton attractor in a Boolean network, applications in computational systems biology. Solved by SCIP 3.0 with SoPlex 1.7.0 in half an hour. A Intel Core2 Extreme CPU X9659 @3.00GHz was used. 1.467560 525
bnatt500 [MIPLIB] Tatsuya Akutsu We are submitting ILP data for identification of a singletonattractor in a Boolean newtork, which is a well-known problemin computational systems biology.This problem is known to be NP-hard and we developed a methodto transform an instance of the problem to an integer linearprogram (ILP).We used ILPs from artificially generated Boolean networks ofindegree 3.The size of the networks are: 350, 400, 500.Even for the case of 500, we could not find a solution within6 hours using CPLEX 11.2 on a PC with XEON 5470 3.33GHz CPU.(This ILP corresponds to the case of size=350.File format is (zipped) CPLEX LP format.)The details of the method appeared in:T. Akutsu, M. Hayashida and T. Tamura, Integer programming-basedmethods for attractor detection and control of Boolean networks,Proc. The combined 48th IEEE Conference on Decision and Controland 28th Chinese Control Conference (IEEE CDC/CCC 2009), 5610-5617, 2009. 1.496050 547
circ10-3 [MIPLIB] M. Winkler Instance from the 2010 SAT conference pseudo-Boolean competition 2.194603 825


neos-876808: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-62
Assigned Model Group Rank/ISS in the MIC: 185 / 3.458

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: radiation Model group: sp_product Model group: map Model group: graphs
Name n37 radiation sp_product map 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 / 0.441 2 / 0.516 3 / 0.640 4 / 0.652 5 / 0.655

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-876808 according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 n37 J. Aronson Fixed charge transportation problem 0.440699 1
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 0.516430 2
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 0.639586 3
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.652308 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 0.654557 5


Updated August 16, 2019