Instance - roi2alpha3n4

roi2alpha3n4: Instance-to-Instance Comparison Results

Type:	Instance
Submitter:	Domenico Salvagnin
Description:	Neurobiology application: optimal placing of sensors on the scalp to maximize signal on a given ROI, also taking uniformity of coverage into account.
	MIPLIB Entry


	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.

Decomposed These decomposed images were created by GCG.
Name	p500x2988 [MIPLIB]	neos-3083819-nubu [MIPLIB]	p500x2988d [MIPLIB]	neos-2974461-ibar [MIPLIB]	ns1631475 [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 / 1.067	2 / 1.068	3 / 1.068	4 / 1.114	5 / 1.115
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIC top 5.

Decomposed These decomposed images were created by GCG.
Name	roi5alpha10n8 [MIPLIB]	prod1 [MIPLIB]	prod2 [MIPLIB]	mad [MIPLIB]	neos-1171448 [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.	23 / 1.191	178 / 1.403	183 / 1.408	280 / 1.501	959 / 3.001
Raw These images represent the CCM images in their raw forms (before any decomposition was applied) for the MIPLIB top 5.

Instance Summary

The table below contains summary information for roi2alpha3n4, the five most similar instances to roi2alpha3n4 according to the MIC, and the five most similar instances to roi2alpha3n4 according to MIPLIB 2017.

	INSTANCE	SUBMITTER	DESCRIPTION	ISS	RANK
Parent Instance	roi2alpha3n4 [MIPLIB]	Domenico Salvagnin	Neurobiology application: optimal placing of sensors on the scalp to maximize signal on a given ROI, also taking uniformity of coverage into account.	0.000000	-
MIC Top 5	p500x2988 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.067079	1
	neos-3083819-nubu [MIPLIB]	Jeff Linderoth	(None provided)	1.067816	2
	p500x2988d [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.068110	3
	neos-2974461-ibar [MIPLIB]	Jeff Linderoth	(None provided)	1.113535	4
	ns1631475 [MIPLIB]	NEOS Server Submission	Traveling salesman problem model	1.115042	5
MIPLIB Top 5	roi5alpha10n8 [MIPLIB]	Domenico Salvagnin	Neurobiology application: optimal placing of sensors on the scalp to maximize signal on a given ROI, also taking uniformity of coverage into account.	1.190968	23
	prod1 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.402596	178
	prod2 [MIPLIB]	MIPLIB submission pool	Imported from the MIPLIB2010 submissions.	1.407877	183
	mad [MIPLIB]	Koichi Fujii	Mean-Absolute Deviation Model for Car Dealerships	1.500951	280
	neos-1171448 [MIPLIB]	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	3.000909	959

roi2alpha3n4: Instance-to-Model Comparison Results

Model Group Assignment from MIPLIB:	no model group assignment
Assigned Model Group Rank/ISS in the MIC:	N.A. / N.A.

These are model group composite (MGC) images for the MIC top 5 model groups.
Name	neos-pseudoapplication-99	neos-pseudoapplication-109	scp	neos-pseudoapplication-7	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 / 1.539	2 / 1.550	3 / 1.654	4 / 1.684	5 / 1.694

Model Group Summary

The table below contains summary information for the five most similar model groups to roi2alpha3n4 according to the MIC.

	MODEL GROUP	SUBMITTER	DESCRIPTION	ISS	RANK
MIC Top 5	neos-pseudoapplication-99	NEOS Server Submission	Imported from the MIPLIB2010 submissions.	1.538721	1
	neos-pseudoapplication-109	Jeff Linderoth	(None provided)	1.549589	2
	scp	Shunji Umetani	This is a random test model generator for SCP using the scheme of the following paper, namely the column cost c[j] are integer randomly generated from [1,100]; every column covers at least one row; and every row is covered by at least two columns. see reference: E. Balas and A. Ho, Set covering algorithms using cutting planes, heuristics, and subgradient optimization: A computational study, Mathematical Programming, 12 (1980), 37-60. We have newly generated Classes I-N with the following parameter values, where each class has five models. We have also generated reduced models by a standard pricing method in the following paper: S. Umetani and M. Yagiura, Relaxation heuristics for the set covering problem, Journal of the Operations Research Society of Japan, 50 (2007), 350-375. You can obtain the model generator program from the following web site. https://sites.google.com/site/shunjiumetani/benchmark	1.653687	3
	neos-pseudoapplication-7	Jeff Linderoth	(None provided)	1.684463	4
	noip	Christopher Hojny	integer programming formulation that verifies that no integer programming formulation of a given 0/1-point set exists	1.693758	5

roi2alpha3n4: Instance-to-Instance Comparison Results

Parent Instance (roi2alpha3n4)

MIC Top 5 Instances

MIPLIB Top 5 Instances

Instance Summary

roi2alpha3n4: Instance-to-Model Comparison Results

MIC Top 5 Model Groups

Model Group Summary