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

Detailed explanation of the following tables can be found here.

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 |

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 |

Available nonzero structure and decomposition information. Further information can be found here.

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 |

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. |

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 | 7438.181021170049* | numerics precedence variable_bound mixed_binary |

gsvm2rl12 | open | 2001 | 500 | 0 | 1501 | 1500 | 253500 | Toni Sorrell | supportvectormachine | 21.90385635871968* | numerics precedence variable_bound mixed_binary |

gsvm2rl11 | open | 2001 | 500 | 0 | 1501 | 1500 | 253500 | Toni Sorrell | supportvectormachine | 18121.6376441351* | numerics 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 |

```
@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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