QPLIB
A Library of Quadratic Programming Instances
Home // browse instances // view statistics // read documentation // download QPLIB archive [ 1.5G ]The following diagrams provide aggregated statistics on sources and characteristics of the instances in QPLIB. You can download the raw data in csv format. The data fields are defined in the documentation.
Problem types
For a definition of the three letter problem classification see the documentation.
Continuous Instances /  Discrete Instances  



Variable types
Convexity
Left: Convexity of the continuous relaxation. Right: Fraction of problematic eigenvalues in the coefficient matrix of the objective function w.r.t. the total number of variables.
Problem sizes
See also the definition of nonzeros and nonlinear nonzeros in the documentation.
Density
In these scatter plots, each bubble represents an instance and the area of the bubble corresponds to the (nonlinear) density of the instance:
 The density in left scatter plot is defined as (#nonzeros) / (#vars * (#cons + 1)).
 The density in right scatter plot is defined as (#nonlinear nonzeros) / (#nonlinear vars * (#quadratic cons + 1 if objective is nonlinear)).
 Densities below 0.05 are shown as 0.05.
The diagram below shows the instances with a quadratic objective function sorted according to the density of the quadratic objective function coefficient matrix.
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