australia-abs-cta: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Jordi Castro
Description: Set of MILP instances of the CTA (Controlled Tabular Adjustment) problem, a method to protect statistical tabular data, belonging to the field of SDC (Statistical Disclosure Control). Raw data of instances are real or pseudo-real, provided by several National Statistical Agencies. We generated the CTA problem for these data.
MIPLIB Entry

Parent Instance (australia-abs-cta)

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

australia-abs-cta Raw australia-abs-cta Decomposed australia-abs-cta Composite of MIC top 5 australia-abs-cta Composite of MIPLIB top 5 australia-abs-cta 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.
npmv07 decomposed drayage-100-23 decomposed square23 decomposed neos-5140963-mincio decomposed square47 decomposed
Name npmv07 [MIPLIB] drayage-100-23 [MIPLIB] square23 [MIPLIB] neos-5140963-mincio [MIPLIB] square47 [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 / 0.953 2 / 0.977 3 / 1.008 4 / 1.064 5 / 1.065
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
npmv07 raw drayage-100-23 raw square23 raw neos-5140963-mincio raw square47 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.
cbs-cta decomposed dcmulti decomposed atm20-100 decomposed misc04inf decomposed dsbmip decomposed
Name cbs-cta [MIPLIB] dcmulti [MIPLIB] atm20-100 [MIPLIB] misc04inf [MIPLIB] dsbmip [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.
24 / 1.142 192 / 1.379 376 / 1.548 404 / 1.571 584 / 1.741
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
cbs-cta raw dcmulti raw atm20-100 raw misc04inf raw dsbmip raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance australia-abs-cta [MIPLIB] Jordi Castro Set of MILP instances of the CTA (Controlled Tabular Adjustment) problem, a method to protect statistical tabular data, belonging to the field of SDC (Statistical Disclosure Control). Raw data of instances are real or pseudo-real, provided by several National Statistical Agencies. We generated the CTA problem for these data. 0.000000 -
MIC Top 5 npmv07 [MIPLIB] Q. Chen Unknown application 0.953052 1
drayage-100-23 [MIPLIB] F. Jordan Srour The .rar file contains three folders: 1) R_mps with all of the instances (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the instances in the form of a pdf. 0.976673 2
square23 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 1.007766 3
neos-5140963-mincio [MIPLIB] Jeff Linderoth (None provided) 1.064436 4
square47 [MIPLIB] Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 1.065056 5
MIPLIB Top 5 cbs-cta [MIPLIB] Jordi Castro Set of MILP instances of the CTA (Controlled Tabular Adjustment) problem, a method to protect statistical tabular data, belonging to the field of SDC (Statistical Disclosure Control). Raw data of instances are real or pseudo-real, provided by several National Statistical Agencies. We generated the CTA problem for these data. 1.142199 24
dcmulti [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.378604 192
atm20-100 [MIPLIB] Matthew Galati ATM cash management problem. Solved with COIN/DIP in 1066 sec. (1 thread) / 259 sec. (8 threads) in June 2011. 1.548301 376
misc04inf [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.570888 404
dsbmip [MIPLIB] MIPLIB submission pool Imported from the MIPLIB2010 submissions. 1.741360 584


australia-abs-cta: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: cta
Assigned Model Group Rank/ISS in the MIC: 164 / 3.289

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: drayage Model group: neos-pseudoapplication-109 Model group: square Model group: neos-pseudoapplication-2 Model group: noip
Name drayage neos-pseudoapplication-109 square neos-pseudoapplication-2 noip
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 / 1.110 2 / 1.386 3 / 1.430 4 / 1.512 5 / 1.522

Model Group Summary

The table below contains summary information for the five most similar model groups to australia-abs-cta according to the MIC.

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 drayage F. Jordan Srour The .rar file contains three folders: 1) R_mps with all of the models (165, organized into 5 groups R0_, R25_, R50_, R75_, and R100_*), 2) results_and_runtimes with datafiles on the runtime and results, and 3) doc with documentation on the models in the form of a pdf. 1.109536 1
neos-pseudoapplication-109 Jeff Linderoth (None provided) 1.386444 2
square Sascha Kurz Squaring the square For a given integer n, determine the minimum number of squares in a tiling of an \\(n\\times n\\) square using using only integer sided squares of smaller size. (Although the models get quite large even for moderate n, they can be solved to optimality for all \\(n \\le 61\\), while challenging the MIP solver, especially the presolver.) 1.430497 3
neos-pseudoapplication-2 NEOS Server Submission Imported from the MIPLIB2010 submissions. 1.511956 4
noip Christopher Hojny integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists 1.522254 5