This work was part of the project I did during my undergrad research internship in the summer of 2018 at the Centre for Process Integration, The University of Manchester on stochastic optimization.
The functions are gathered in 6 groups according to their two-dimensional shape: plane-shaped, bowl-shaped, many local minima, plate-shaped, valley-shaped and others.
- Simple sum function
- Bohachevsky function
- Brown function
- Sum of different squares function
- Exponential function
- Rotated hyper-ellipsoid function
- Perm function
- Sargan function
- Schwefel 1 function
- Sphere function
- Trid function
- Ackley function
- Alpine 1 function
- Alpine 2 function
- Deb 1 function
- Griewank function
- Levy function
- Mishra 11 function
- Multimodal function
- Penalty 1 function
- Penalty 2 function
- Pinter function
- Rana function
- Rastrigin function
- Salomon function
- Schwefel 26 function
- Sine envelope function
- Trigonometric 2 function
- Vincent function
- Weierstrass function
- Whitley function
- Xin She Yang 2 function
- Xin She Yang 4 function
- Arithmetic Mean - Geometric Mean Equality function
- Csendes function (also called Infinity function)
- Katsuura function
- Mishra 1 function
- Mishra 2 function
- Mishra 7 function
- Quintic function
- Schewefel 4 function
- Zakharov function
- Dixon-price function
- Rosenbrock function
- Schwefel 2 function
- Deceptive function (in its general form)
- Deflected corrugated spring function
- Perm d function
- Plateau function
- Powell function
- Qing function
- Quartic function
- Schwefel 20 function
- Schwefel 21 function
- Schwefel 22 function
- Step 2 function
- Stepint function
- Styblinski-Tang function
- Trigonometric 1 function
- Xin She Yang 3 function
- Yao Liu 4 function
- Zero sum function
The functions requires Python 3.0 (or more recent versions).
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All the functions require an array as input, and return a real value as output.
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The file 3D_plot.py presents the plotting routine to obtained the same style of 3D plots as shown here.
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Specific information for each function can be found in the docstring of each one of them.
This repository contains a MIT LICENSE