gsvm2rl9

numerics precedence variable_bound mixed_binary

Submitter Variables Constraints Density Status Group Objective MPS File
Toni Sorrell 801 600 8.61423e-02 open supportvectormachine 7438.181021170049* gsvm2rl9.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 801 801
Constraints 600 600
Binaries 200 200
Integers 0 0
Continuous 601 601
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.0861423 0.0861423
Nonzeroes 41400 41400
Constraint Classification Properties
Original Presolved
Total 600 600
Empty 0 0
Free 0 0
Singleton 0 0
Aggregations 0 0
Precedence 200 200
Variable Bound 200 200
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 200 200
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 2.303196
Constraint % 0.333333 0.333333 0.333333 0.333333
Variable % 0.249688 0.249688 0.249688 0.249688
Score 0.665002

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 7438.181 7438.181 0 0 0 Peng Lin and Shaowei Cai 2024-09-29 PartiMIP Solver - A Dynamic Partitioning MIP Solver

Similar instances in collection

The following instances are most similar to gsvm2rl9 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
gsvm2rl11 open 2001 500 0 1501 1500 253500 Toni Sorrell supportvectormachine 18121.6376441351* numerics precedence variable_bound mixed_binary
gsvm2rl5 hard 401 100 0 301 300 10700 Toni Sorrell supportvectormachine 5.42305352523751 precedence variable_bound mixed_binary
gsvm2rl12 open 2001 500 0 1501 1500 253500 Toni Sorrell supportvectormachine 21.90385635871968* numerics precedence variable_bound mixed_binary
gsvm2rl3 easy 241 60 0 181 180 4020 Toni Sorrell supportvectormachine 0.33652753 benchmark_suitable precedence variable_bound mixed_binary
neos-619167 easy 3452 400 0 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}
}

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