mushroom-best

benchmark benchmark_suitable variable_bound general_linear

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Berk Ustun	8468	8580	2.59767e-03	easy	ustun	0.0553337612	mushroom-best.mps.gz

MIP to create optimized data-driven scoring systems. See: https://github.com/ustunb/miplib2017-slim#miplib2017-slim for a description.

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	8468	8468
Constraints	8580	8580
Binaries	8237	8237
Integers	118	118
Continuous	113	113
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.00259767	0.00259767
Nonzeroes	188735	188735

Constraint Classification Properties
	Original	Presolved
Total	8580	8580
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	0	0
Variable Bound	452	452
Set Partitioning	0	0
Set Packing	0	0
Set Covering	0	0
Cardinality	0	0
Invariant Knapsack	0	0
Equation Knapsack	0	0
Bin Packing	0	0
Knapsack	0	0
Integer Knapsack	0	0
Mixed Binary	0	0
General Linear	8128	8128
Indicator	0	0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

Nonzero entries of original problem

Nonzero entries after trivial presolving

Decomposed structure of original problem (dec-file)

Decomposed structure after trivial presolving (dec-file)

	value	min	median	mean	max
Components	1.623249
Constraint %		0.0116550	1.03388	0.0466200	40.5594
Variable %		0.0354275	1.01588	0.0354275	40.2338
Score	0.260700

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
1	0.0553338	0.0553338	0	0	0	-	2018-10-11	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to mushroom-best in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance	Status	Variables	Binaries	Integers	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
adult-max5features	hard	32674	32597	41	36	32709	417567	Berk Ustun	ustun	5642.121938895418	variable_bound general_linear
breastcancer-regularized	easy	715	692	14	9	723	8283	Berk Ustun	ustun	35.76784210526315	numerics variable_bound general_linear
adult-regularized	open	32674	32597	41	36	32709	417567	Berk Ustun	ustun	7022.953543477999*	variable_bound general_linear
neos-1456979	easy	4605	4245	180	180	6770	36440	NEOS Server Submission	neos-pseudoapplication-102	176	benchmark decomposition benchmark_suitable variable_bound set_partitioning set_packing cardinality knapsack mixed_binary general_linear
neos-686190	easy	3660	3600	60	0	3664	18085	NEOS Server Submission	neos-pseudoapplication-60	6730	benchmark_suitable precedence variable_bound set_partitioning set_covering general_linear

Reference

@article{
    ustun2015slim,
    year = {2015},
    issn = {0885-6125},
    journal = {Machine Learning},
    doi = {10.1007/s10994-015-5528-6},
    title = {Supersparse linear integer models for optimized medical scoring systems},
    url = {http://dx.doi.org/10.1007/s10994-015-5528-6},
    publisher = { Springer US},
    author = {Ustun, Berk and Rudin, Cynthia},
    pages = {1-43},
    language = {English}
}