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.

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.

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 Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
adult-max5features 32674 32597 41 36 32709 417567 Berk Ustun ustun open 5848.097508813*
breastcancer-regularized 715 692 14 9 723 8283 Berk Ustun ustun open 35.7139210526316*
adult-regularized 32674 32597 41 36 32709 417567 Berk Ustun ustun open 7022.953543478*
neos-1456979 4605 4245 180 180 6770 36440 NEOS Server Submission neos-pseudoapplication-102 easy 176
neos-686190 3660 3600 60 0 3664 18085 NEOS Server Submission neos-pseudoapplication-60 easy 6730

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}
}

Last Update Nov 09, 2018 by Gregor Hendel
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