A Simplex Method for Function Minimization

By John A. Nelder, R. Mead. 1965

Subfields: Mathematical Optimization, Numerical Methods & Scientific Computing

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Citations in the corpus

Differential Flatness of Quadrotor Dynamics Subject to Rotor Drag for Accurate Tracking of High-Speed Trajectories (2017, methodology): “Therefore, we propose to identify D, A, B, and kh by running a Nelder-Mead gradient free optimization [17] for which the quadrotor repeats a pre-”
Google Vizier: A Service for Black-Box Optimization (2017, background): “Another class of algorithms performs a local search by selecting points thatmaintain a search pattern, such as a simplex in the case of the classic Nelder–Mead algorithm [22].”
New tools for automated high-resolution cryo-EM structure determination in RELION-3 (2018, methodology): “Once the q k and w k are known, we can fit the optimal b to them using an iterative non-linear method, such as Nelder-Mead downhill simplex ( Nelder and Mead, 1965 ).”
Linear Combination of Distance Measures for Surrogate Models in Genetic Programming (2018, unknown): “The result of the DIRECT run is further reﬁned with a Nelder-Mead local search [21] (also 1000 × d c evaluations).”
Estimating parameters of the diffusion model: Approaches to dealing with contaminant reaction times and parameter variability (2002, methodology): “To minimize minus the log likelihood, Ratcliff used the SIMPLEX routine (Nelder & Mead, 1965; see also Appendix B).”
A Comparison of Models to Infer the Distribution of Fitness Effects of New Mutations (2013, methodology): “Maximization of the likelihood was done using a custom likelihood search algorithm for N2, and the SIMPLEX algorithm (Nelder and Mead 1965) for the remaining parameters.”
Improvement of hydrological model calibration by selecting multiple parameter ranges (2016, unknown): “The Shuffled Complex Evolution (SCE-UA) method combines many advantages of Genetic Algorithm and Simplex Method, having a powerful capability of calibrating the rainfall-runoff model (Duan et al., 1994;Zhang and Shi, 2011).”
Model-based estimation of ultrasonic echoes. Part I: Analysis and algorithms (2001, methodology): “The simplex search method [15] (a first-order method) uses only function evaluations in iterating the parameter vector.”
Hypersonic and High-Temperature Gas Dynamics (2019, methodology): “Instead, a numerical optimization technique was used based on the simplex method of Nelder and Mead [247].”
COMPARISON OF MAMDANI AND SUGENO FUZZY INFERENCE SYSTEM MODELS FOR RESONANT FREQUENCY CALCULATION OF RECTANGULAR MICROSTRIP ANTENNAS (2009, methodology): “However, in this paper, six different optimization algorithms, least-squares (LSQ) algorithm [51–53], nelder-mead (NM) algorithm [54, 55], genetic algorithm (GA) [56, 57], differential evolution algorithm (DEA) [58–60], particle swarm optimization (PSO) [61, 62], and simulated annealing (SA) algorit”