# -*- coding: utf-8 -*- """ ============================================================================== `go_benchmark_functions` -- Problems for testing global optimization routines ============================================================================== This module provides a comprehensive set of problems for benchmarking global optimization routines, such as scipy.optimize.basinhopping, or scipy.optimize.differential_evolution. The purpose is to see whether a given optimization routine can find the global minimum, and how many function evaluations it requires to do so. The range of problems is extensive, with a range of difficulty. The problems are multivariate, with N=2 to N=17 provided. References ---------- .. [1] Momin Jamil and Xin-She Yang, A literature survey of benchmark functions for global optimization problems, Int. Journal of Mathematical Modelling and Numerical Optimisation, Vol. 4, No. 2, pp. 150--194 (2013). https://arxiv.org/abs/1308.4008v1 (and references contained within) .. [2] http://infinity77.net/global_optimization/ .. [3] S. K. Mishra, Global Optimization By Differential Evolution and Particle Swarm Methods: Evaluation On Some Benchmark Functions, Munich Research Papers in Economics .. [4] E. P. Adorio, U. P. Dilman, MVF - Multivariate Test Function Library in C for Unconstrained Global Optimization Methods, [Available Online]: https://www.geocities.ws/eadorio/mvf.pdf .. [5] S. K. Mishra, Some New Test Functions For Global Optimization And Performance of Repulsive Particle Swarm Method, [Available Online]: https://mpra.ub.uni-muenchen.de/2718/ .. [6] NIST StRD Nonlinear Regression Problems, retrieved on 1 Oct, 2014 https://www.itl.nist.gov/div898/strd/nls/nls_main.shtml """ """ Copyright 2013 Andrea Gavana Author: Modifications 2014 Andrew Nelson """ from .go_funcs_A import * from .go_funcs_B import * from .go_funcs_C import * from .go_funcs_D import * from .go_funcs_E import * from .go_funcs_F import * from .go_funcs_G import * from .go_funcs_H import * from .go_funcs_I import * from .go_funcs_J import * from .go_funcs_K import * from .go_funcs_L import * from .go_funcs_M import * from .go_funcs_N import * from .go_funcs_O import * from .go_funcs_P import * from .go_funcs_Q import * from .go_funcs_R import * from .go_funcs_S import * from .go_funcs_T import * from .go_funcs_U import * from .go_funcs_V import * from .go_funcs_W import * from .go_funcs_X import * from .go_funcs_Y import * from .go_funcs_Z import * __all__ = [s for s in dir() if not s.startswith('_')]