gsvm2rl11

numerics precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Toni Sorrell	2001	1500	8.44578e-02	open	supportvectormachine	18121.63800478*	gsvm2rl11.mps.gz

Suport vector machine with ramp loss. GSVM2-RL is the formulation found in Hess E. and Brooks P. (2015) paper, The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization

Location of instance in collection

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
	Original	Presolved
Variables	2001	2001
Constraints	1500	1500
Binaries	500	500
Integers	0	0
Continuous	1501	1501
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0844578	0.0844578
Nonzeroes	253500	253500

Constraint Classification Properties
	Original	Presolved
Total	1500	1500
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	500	500
Variable Bound	500	500
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	500	500
General Linear	0	0
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	2.699838
Constraint %		0.133333	0.133333	0.133333	0.133333
Variable %		0.099950	0.099950	0.099950	0.099950
Score	0.666000

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	18121.64	18121.64	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gsvm2rl11 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	Continuous	Constraints	Nonz.	Submitter	Group	Objective	Tags
gsvm2rl12	open	2001	500	1501	1500	253500	Toni Sorrell	supportvectormachine	21.90385635871968*	numerics precedence variable_bound mixed_binary
gsvm2rl9	open	801	200	601	600	41400	Toni Sorrell	supportvectormachine	7438.181167768*	numerics precedence variable_bound mixed_binary
gsvm2rl5	hard	401	100	301	300	10700	Toni Sorrell	supportvectormachine	5.42305352523751	precedence variable_bound mixed_binary
gsvm2rl3	easy	241	60	181	180	4020	Toni Sorrell	supportvectormachine	0.33652753	benchmark_suitable precedence variable_bound mixed_binary
neos-4960896-besbre	easy	6149	1809	4340	14793	98690	Jeff Linderoth	neos-pseudoapplication-59	Unbounded	numerics precedence variable_bound set_packing mixed_binary

Reference

@article{hess2015support,
  title={The Support Vector Machine and Mixed Integer Linear Programming: Ramp Loss SVM with L1-Norm Regularization},
  author={Hess, Eric J and Brooks, J Paul},
  year={2015}
}