gsvm2rl5

precedence variable_bound mixed_binary

Submitter	Variables	Constraints	Density	Status	Group	Objective	MPS File
Toni Sorrell	401	300	8.89443e-02	hard	supportvectormachine	5.42305352523751	gsvm2rl5.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	401	401
Constraints	300	300
Binaries	100	100
Integers	0	0
Continuous	301	301
Implicit Integers	0	0
Fixed Variables	0	0
Nonzero Density	0.0889443	0.0889443
Nonzeroes	10700	10700

Constraint Classification Properties
	Original	Presolved
Total	300	300
Empty	0	0
Free	0	0
Singleton	0	0
Aggregations	0	0
Precedence	100	100
Variable Bound	100	100
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	100	100
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	2.004321
Constraint %		0.666667	0.666667	0.666667	0.666667
Variable %		0.498753	0.498753	0.498753	0.498753
Score	0.663342

Best Known Solution(s)

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

## Warning in lapply(df["exactobjval"], as.numeric): NAs introduced by coercion

ID	Objective	Exact	Int. Viol	Cons. Viol	Obj. Viol	Submitter	Date	Description
2	5.423053		0	0	0	Robert Bixby	2020-02-21	Solved with Gurobi 9.0 within 2 hours
1	5.423053	5.423053	0	0	0	-	2018-10-13	Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to gsvm2rl5 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
gsvm2rl3	easy	241	60	181	180	4020	Toni Sorrell	supportvectormachine	0.33652753	benchmark_suitable precedence variable_bound mixed_binary
gsvm2rl9	open	801	200	601	600	41400	Toni Sorrell	supportvectormachine	7438.181167768*	numerics precedence variable_bound mixed_binary
gsvm2rl12	open	2001	500	1501	1500	253500	Toni Sorrell	supportvectormachine	21.90385635871968*	numerics precedence variable_bound mixed_binary
gsvm2rl11	open	2001	500	1501	1500	253500	Toni Sorrell	supportvectormachine	18121.63800478*	numerics precedence variable_bound mixed_binary
neos-619167	easy	3452	400	3052	6800	20020	NEOS Server Submission	neos-pseudoapplication-83	1.664893618589958	decomposition numerics precedence variable_bound 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}
}