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Test functions are important to validate and compare the performance of optimization algorithms.
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A. Lavi, T. P. Vogel (eds), “Recent Advances in Optimization Techniques,” John Wliley & Sons, 1966
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E. E. Cragg, A. V. Levy, “Study on Supermemory Gradient Method for the Minimization of Functions,” Journal of Optimization Theory and Applications, vol. 4, no. 3, pp. 191-205, 1969
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Y. Brad, “Comparison of Gradient Methods for the Solution of Nonlinear Parametric Estimation Problem,” SIAM Journal on Numerical Analysis, vol. 7, no. 1, pp. 157-186, 1970
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D. F. Shanno, “Conditioning of Quasi-Newton Methods for Function Minimization,” Mathematics of Computation, vol. 24, no. 111, pp. 647-656, 1970
1970
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M. C. Biggs, “A New Variable Metric Technique Taking Account of Non-Quadratic Behaviour of the Objective function,” IMA Journal of Applied Mathematics, vol. 8, no. 3, pp. 315-327, 1971
1971
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A. A. Goldstein, J. F. Price, “On Descent from Local Minima,” Mathematics and Comptutaion, vol. 25, no. 115, pp. 569-574, 1971
1971
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F. H. Branin Jr., “Widely Convergent Method of Finding Multiple Solutions of Simultaneous Nonlinear Equations,” IBM Journal of Research and Development, vol. 16, no. 5, pp. 504-522, 1972
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D. M. Himmelblau, “Applied Nonlinear Programming,” McGraw-Hill, 1972
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F. A. Lootsma (ed.), “ Numerical Methods for Non-Linear Optimization,” Academic Press, 1972
1972
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J. Opačić, “A Heuristic Method for Finding Most extrema of a Nonlinear Functional,” IEEE Transactions on Systems, Man and Cybernetics, vol. 3, no. 1, pp. 102-107, 1973
1973
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G. A. Bekey, M. T. Ung, “A Comparative Evaluation of Two Global Search Algorithms,” IEEE Transaction on Systems, Man and Cybernetics, vol. 4, no. 1, pp. 112-116, 1974
1974
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W. L. Price, “A Controlled Random Search Procedure for Global Optimisation,” Computer journal, vol. 20, no. 4, pp. 367-370, 1977. [Available Online]: http://comjnl.oxfordjournals.org/content/20/4/367.full.pdf
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L. C. W. Dixon, G. P. Szegö (eds.), “Towards Global Optimization 2,” Elsevier, 1978
1978
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R. A. El-Attar, M. Vidyasagar, S. R. K. Dutta, “An Algorithm for II-norm Minimization With Application to Nonlinear II-approximation,” SIAM Journal on Numverical Analysis, vol. 16, no. 1, pp. 70-86, 1979
1979
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N. deVillers, D. Glasser, “A Continuation Method for Nonlinear Regression,” SIAM Journal on Numerical Analysis, vol. 18, no. 6, pp. 1139-1154, 1981
1981
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A. O. Griewank, “Generalized Descent for Global Optimization,” Journal of Optimization Theory and Applications, vol. 34, no. 1, pp. 11-39, 1981
1981
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J. J. Moré, B. S. Garbow, K. E. Hillstrom, “Testing Unconstrained Optimization Software,”, ACM Trans. on Mathematical Software, vol. 7, pp. 17-41, 1981
1981
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H. P. Schwefel, “Numerical Optimization for Computer Models,” John Wiley Sons, 1981
1981
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J. P. Hennart (ed.), “Numerical Analysis,” Proc. 3rd AS Workshop, Lecture Notes in Mathematics, vol. 90, Springer, 1982
1982
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I. O. Bohachevsky, M. E. Johnson, M. L. Stein, “General Simulated Annealing for Function Optimization,” Technometrics, vol. 28, no. 3, pp. 209-217, 1986
1986
Cited alongside, same era.
D. H. Ackley, “A Connectionist Machine for Genetic Hill-Climbing,” Kluwer, 1987
1987
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A. Corana, M. Marchesi, C. Martini, S. Ridella, “Minimizing Multimodal Functions of Continuous Variables with Simulated Annealing Algorithms,” ACM Transactions on Mathematical Software, vol. 13, no. 3, pp. 262-280, 1987
1987
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T. L. Wayburn, J. D. Seader, “Homotopy Continuation Methods for Computer-Aided Process Design,” Computers and Chemical Engineering, vol. 11, no. 1, pp. 7-25, 1987
C. Muntenau, V. Lazarescu, “Global Search Using a New Evolutionayr Framework: The Adaptive Reservoir Genetic Algorithm,” Complexity International, vol. 5, 1998. [Available Online]: http://www.complexity.org.au/ci/vol05/munteanu/munteanu.html
1998
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M. Clerc, “The Swarm and the Queen, Towards a Deterministic and Adaptive Particle Swarm Optimization, ” IEEE Congress on Evolutionary Computation, Washington DC, USA, pp. 1951-1957, 1999
1999
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C. A. Flouda, P. M. Pardalos, C. S. Adjiman, W. R. Esposito, Z. H. Gümüs, S. T. Harding, J. L. Klepeis, C. A. Meyer, and C. A. Schweiger, “Handbook of Test Problems in Local and Global Optimization,” Kluwer, Boston, 1999
1999
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Y. Chen “Computer Simulation of Electron Positron Annihilation Processes,” Technical Report SLAC-Report-646, Stanford Linear Accelerator Center, Stanford University, 2003. [Available Online]: http://www.slac.stanford.edu/pubs/slacreports/slac-r-646.html
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1987
Cited alongside, same era.
L. C. W. Dixon, R. C. Price, “The Truncated Newton Method for Sparse Unconstrained Optimisation Using Automatic Differentiation,” Journal of Optimization Theory and Applications, vol. 60, no. 2, pp. 261-275, 1989
1989
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C. Fraley, “Software Performances on Nonlinear Least-Squares Problems,” Technical Report no. STAN-CS-89-1244, Department of Computer Science, Stanford University, 1989. [Available Online]: http://www.dtic.mil/dtic/tr/fulltext/u2/a204526.pdf
1989
Cited alongside, same era.
B. M. Averick, R. G. Carter, J. J. Moré, “The MINIPACK-2 Test Problem Collection,” Mathematics and Computer Science Division, Agronne National Laboratory, Technical Memorandum No. 150, 1991
1991
Cited alongside, same era.
B. M. Averick, R. G. Carter, J. J. Moré, G. L. Xue, “The MINIPACK-2 Test Problem Collection,” Mathematics and Computer Science Division, Agronne National Laboratory, Preprint MCS-P153-0692, 1992
1992
Cited alongside, same era.
P. H. Winston, “Artificial Intelligence, 3 r d 3^{rd} ed.” Addison-Wesley, 1992
1992
Cited alongside, same era.
T. Bäck, H. P. Schwefel, “An Overview of Evolutionary Algorithm for Parameter Optimization,” Evolutionary Computation, vol. 1, no. 1, pp. 1-23, 1993
1993
Cited alongside, same era.
H. P. Schwefel, “Evolution and Optimum Seeking,” John Wiley Sons, 1995
1995
Cited alongside, same era.
2003
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A. D. Junior, R. S. Silva, K. C. Mundim, and L. E. Dardenne, “Performance and Parameterization of the Algorithm Simplified Generalized Simulated Annealing,” Genet. Mol. Biol., vol. 27, no. 4, pp. 616–622, 2004. [Available Online]: http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1415-47572004000400024&lng=en&nrm=iso
2004
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M. M. Ali, C. Khompatraporn, Z. B. Zabinsky, “A Numerical Evaluation of Several Stochastic Algorithms on Selected Continuous Global Optimization Test Problems,” Journal of Global Optimization, vol. 31, pp. 635-672, 2005
2005
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D. O. Boyer, C. H. Martfnez, N. G. Pedrajas, ”Crossover Operator for Evolutionary Algorithms Based on Population Features”, Journal of Artificial Intelligence Research, vol. 24, pp. 1-48, 2005
2005
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N. Damavandi, S. Safavi-Naeini, “A Hybrid Evolutionary Programming Method for Circuit Optimization,” IEEE Transaction on Circuit and Systems I, vol. 52, no. 5, pp. 902-910, 2005
2005
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K. V. Price, R. M. Storn, J. A. Lampinen, “Differential Evolution: A Practical Approach to Global Optimization,” Springer, 2005
2005
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P. N. Suganthan, N. Hansen, J. J. Liang, K. Deb, Y.-P. Chen, A. Auger, S. Tiwari, “Problem Definitions and Evaluation Criteria for CEC 2005, Special Session on Real-Parameter Optimization,” Nanyang Technological University (NTU), Singapore, Tech. Rep., 2005. [Available Online]: http://www.lri.fr/~hansen/Tech-Report-May-30-05.pdf
2005
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M. C. Fu, J. Hu, S. I. Marcus, “Model-Based Randomized Methods for Global Optimization,” Proc. 17th International Symp. Mathematical Theory Networks Systems, Kyoto, Japan, pp. 355-365, 2006
2006
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A. Qing, “Dynamic Differential Evolution Strategy and Applications in Electromagnetic Inverse Scattering Problems,” IEEE Transactions on Geoscience and remote Sensing, vol. 44, no. 1, pp. 116-125, 2006
2006
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A. Auger, N. Hansen, N. Mauny, R. Ros, M. Schoenauer, “Bio-Inspired Continuous Optimization: The Coming of Age,” Invited Lecture, IEEE Congress on Evolutionary Computation, NJ, USA, 2007
2007
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S. Rahnamyan, H. R. Tizhoosh, N. M. M. Salama, “A Novel Population Initialization Method for Accelerating Evolutionary Algorithms,” Computers and Mathematics with Applications, vol. 53, no. 10, pp. 1605-1614, 2007
2007
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S. Rahnamyan, H. R. Tizhoosh, N. M. M. Salama, “Opposition-Based Differential Evolution (ODE) with Variable Jumping Rate,” IEEE Sympousim Foundations Computation Intelligence, Honolulu, HI, pp. 81-88, 2007
2007
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Z. K. Silagadze, “Finding Two-Dimesnional Peaks,” Physics of Particles and Nuclei Letters, vol. 4, no. 1, pp. 73-80, 2007
2007
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N. Andrei, “An Unconstrained Optimization Test Functions Collection,” Advanced Modeling and Optimization, vol. 10, no. 1, pp.147-161, 2008
2008
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K. Tang, X. Yao, P. N. Suganthan, C. MacNish, Y.-P. Chen, C.-M. Chen, Z. Yang, “Benchmark Functions for the CEC’2008 Special Session and Competition on Large Scale Global Optimization,”, Tech. Rep., 2008. [Available Online]: http://nical.ustc.edu.cn/cec08ss.php
2008
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O. Begambre, J. E. Laier, “A hybrid Particle Swarm Optimization - Simplex Algorithm (PSOS) for Structural Damage Identification,” Journal of Advances in Engineering Software, vol. 40, no. 9, pp. 883-891, 2009
2009
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S. S. Rao, “Engineering Optimization: Theory and Practice,” John Wiley & Sons, 2009
2009
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J. Rönkkönen, “Continuous Multimodal Global Optimization With Differential Evolution-Based Methods,” PhD Thesis, Lappeenranta University of Technology, 2009
2009
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K. Tang, X. Li, P. N. Suganthan, Z. Yang, T. Weise, “Benchmark Functions for the CEC’2010 Special Session and Competition on Large-Scale Global Optimization,” Tech. Rep., 2010. [Available Online]: http://sci2s.ugr.es/eamhco/cec2010_functions.pdf
2010
Later among the works it cites.