gsvm2rl5

precedence variable_bound mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Toni Sorrell 401 300 8.89443e-02 open supportvectormachine 5.4230535252* 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

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.

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.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
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 Integers Continuous Constraints Nonz. Submitter Group Objective Tags
gsvm2rl3 easy 241 60 0 181 180 4020 Toni Sorrell supportvectormachine 0.33652753 benchmark_suitable precedence variable_bound mixed_binary
gsvm2rl9 open 801 200 0 601 600 41400 Toni Sorrell supportvectormachine 7438.181167768* numerics precedence variable_bound mixed_binary
gsvm2rl12 open 2001 500 0 1501 1500 253500 Toni Sorrell supportvectormachine 22.12011638092* numerics precedence variable_bound mixed_binary
gsvm2rl11 open 2001 500 0 1501 1500 253500 Toni Sorrell supportvectormachine 18121.63800478* numerics precedence variable_bound mixed_binary
neos-619167 easy 3452 400 0 3052 6800 20020 NEOS Server Submission neos-pseudoapplication-83 1.66489361858996 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}
}

Last Update Jun 24, 2019 by Gregor Hendel
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