breastcancer-regularized: Instance-to-Instance Comparison Results

Type: Instance
Submitter: Berk Ustun
Description: MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description.
MIPLIB Entry

Parent Instance (breastcancer-regularized)

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

breastcancer-regularized Raw breastcancer-regularized Decomposed breastcancer-regularized Composite of MIC top 5 breastcancer-regularized Composite of MIPLIB top 5 breastcancer-regularized 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-3046601-motu decomposed neos-3046615-murg decomposed mushroom-best decomposed rmatr100-p10 decomposed neos-3209462-rhin decomposed
Name neos-3046601-motu [MIPLIB] neos-3046615-murg [MIPLIB] mushroom-best [MIPLIB] rmatr100-p10 [MIPLIB] neos-3209462-rhin [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 / 0.583 2 / 0.589 3 / 0.595 4 / 0.607 5 / 0.617
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.
neos-3046601-motu raw neos-3046615-murg raw mushroom-best raw rmatr100-p10 raw neos-3209462-rhin 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.
mushroom-best decomposed adult-max5features decomposed lectsched-5-obj decomposed lectsched-4-obj decomposed adult-regularized decomposed
Name mushroom-best [MIPLIB] adult-max5features [MIPLIB] lectsched-5-obj [MIPLIB] lectsched-4-obj [MIPLIB] adult-regularized* [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.
3 / 0.595 16 / 0.728 255 / 1.253 513 / 1.549 16* / 0.728*
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.
mushroom-best raw adult-max5features raw lectsched-5-obj raw lectsched-4-obj raw adult-regularized raw

Instance Summary

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

INSTANCE SUBMITTER DESCRIPTION ISS RANK
Parent Instance breastcancer-regularized [MIPLIB] Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 0.000000 -
MIC Top 5 neos-3046601-motu [MIPLIB] Jeff Linderoth (None provided) 0.583188 1
neos-3046615-murg [MIPLIB] Jeff Linderoth (None provided) 0.589400 2
mushroom-best [MIPLIB] Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 0.594845 3
rmatr100-p10 [MIPLIB] Dmitry Krushinsky Instance coming from a formulation of the p-Median problem using square cost matrices 0.606674 4
neos-3209462-rhin [MIPLIB] Jeff Linderoth (None provided) 0.616670 5
MIPLIB Top 5 mushroom-best [MIPLIB] Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 0.594845 3
adult-max5features [MIPLIB] Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 0.727534 16
lectsched-5-obj [MIPLIB] Harald Schilly scheduling lectures at university - smaller subset of data with objective to minimize certain overlappings 1.252635 255
lectsched-4-obj [MIPLIB] Harald Schilly University lecture scheduling instance 1.548759 513
adult-regularized* [MIPLIB] Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 0.727534* 16*


breastcancer-regularized: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB: ustun
Assigned Model Group Rank/ISS in the MIC: 1 / 0.894

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: ustun Model group: rmatr Model group: map Model group: polygonpack Model group: allcolor
Name ustun rmatr map polygonpack allcolor
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 / 0.894 2 / 0.908 3 / 0.944 4 / 1.119 5 / 1.265

Model Group Summary

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

MODEL GROUP SUBMITTER DESCRIPTION ISS RANK
MIC Top 5 ustun Berk Ustun MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description. 0.894144 1
rmatr Dmitry Krushinsky Model coming from a formulation of the p-Median problem using square cost matrices 0.908406 2
map Kiyan Ahmadizadeh Land parcel selection problems motivated by Red-Cockaded Woodpecker conservation problem 0.944129 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. 1.119244 4
allcolor Domenico Salvagnin Prepack optimization model. 1.265063 5


* adult-regularized is a duplicate of adult-max5features.