neos-4954274-beardy: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jeff Linderoth
Description: Reported solved after 77000 seconds using Gurobi with 32 threads.
MIPLIB Entry

Parent Instance (neos-4954274-beardy)

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

neos-4954274-beardy Raw neos-4954274-beardy Decomposed neos-4954274-beardy Composite of MIC top 5 neos-4954274-beardy Composite of MIPLIB top 5 neos-4954274-beardy 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-1456979 decomposed allcolor58 decomposed neos-3581454-haast decomposed lotsize decomposed allcolor10 decomposed
Name neos-1456979 [MIPLIB] allcolor58 [MIPLIB] neos-3581454-haast [MIPLIB] lotsize [MIPLIB] allcolor10 [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 / 0.814 2 / 0.883 3 / 0.883 4 / 0.886 5 / 0.892
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-1456979 raw allcolor58 raw neos-3581454-haast raw lotsize raw allcolor10 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-876808 decomposed s1234 decomposed bnatt400 decomposed bnatt500 decomposed circ10-3 decomposed
Name neos-876808 [MIPLIB] s1234 [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.
97 / 1.130 305 / 1.407 531 / 1.644 544 / 1.658 851 / 2.195
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
neos-876808 raw s1234 raw bnatt400 raw bnatt500 raw circ10-3 raw

Instance Summary

The table below contains summary information for neos-4954274-beardy, the five most similar instances to neos-4954274-beardy according to the MIC, and the five most similar instances to neos-4954274-beardy according to MIPLIB 2017.

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance neos-4954274-beardy [MIPLIB] Jeff Linderoth Reported solved after 77000 seconds using Gurobi with 32 threads. 0.000000 -
MIC Top 5 neos-1456979 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 0.814279 1
allcolor58 [MIPLIB] Domenico Salvagnin Prepack optimization model. 0.882638 2
neos-3581454-haast [MIPLIB] Jeff Linderoth (None provided) 0.883075 3
lotsize [MIPLIB] Dinakar Gade, Simge Kucukyavuz Multi-item lot sizing with service level constraints 0.886097 4
allcolor10 [MIPLIB] Domenico Salvagnin Prepack optimization instance. 0.891621 5
MIPLIB Top 5 neos-876808 [MIPLIB] NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.130436 97
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. 1.406561 305
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. 1.644286 531
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. 1.658490 544
circ10-3 [MIPLIB] M. Winkler Instance from the 2010 SAT conference pseudo-Boolean competition 2.194762 851


neos-4954274-beardy: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: neos-pseudoapplication-62
Assigned Model Group Rank/ISS in the MIC: 168 / 3.022

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: sing Model group: neos-pseudoapplication-14 Model group: sp_product Model group: graphs
Name allcolor sing neos-pseudoapplication-14 sp_product 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 / 1.185 2 / 1.236 3 / 1.259 4 / 1.345 5 / 1.367

Model Group Summary

The table below contains summary information for the five most similar model groups to neos-4954274-beardy according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 allcolor Domenico Salvagnin Prepack optimization model. 1.184630 1
sing Daniel Espinoza Imported from the MIPLIB2010 submissions. 1.236475 2
neos-pseudoapplication-14 Jeff Linderoth (None provided) 1.259498 3
sp_product MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.344501 4
graphs Michael Bastubbe Packing Cuts in Undirected Graphs. Models are described in 4.1. 1.366540 5