A Point Balance Algorithm for the Spherical Code Problem
Journal of Global Optimization
A Locally-Biased form of the DIRECT Algorithm
Journal of Global Optimization
Structural Optimization with FEM-based Shakedown Analyses
Journal of Global Optimization
Solving nonlinear programming problems with noisy function values and noisy gradients
Journal of Optimization Theory and Applications
A Derivative-Free Algorithm for Bound Constrained Optimization
Computational Optimization and Applications
Pattern Search Methods for Use-Provided Points
ICCS '01 Proceedings of the International Conference on Computational Science-Part II
Locally-adaptive and memetic evolutionary pattern search algorithms
Evolutionary Computation
Sourcebook of parallel computing
Conjugate Grids for Unconstrained Optimisation
Computational Optimization and Applications
Constrained Global Optimization of Expensive Black Box Functions Using Radial Basis Functions
Journal of Global Optimization
A Convergence Analysis of Unconstrained and Bound Constrained Evolutionary Pattern Search
Evolutionary Computation
Grid Restrained Nelder-Mead Algorithm
Computational Optimization and Applications
Combined pattern search and ranking and selection for simulation optimization
WSC '04 Proceedings of the 36th conference on Winter simulation
OPEDo: a tool framework for modeling and optimization of stochastic models
valuetools '06 Proceedings of the 1st international conference on Performance evaluation methodolgies and tools
Optimizing an Empirical Scoring Function for Transmembrane Protein Structure Determination
INFORMS Journal on Computing
A generating set search method using curvature information
Computational Optimization and Applications
Computers & Mathematics with Applications
Finding effective points by surrogate models with overcomplete bases
Journal of Computational and Applied Mathematics
Nonsmooth optimization through Mesh Adaptive Direct Search and Variable Neighborhood Search
Journal of Global Optimization
A multidimensional bisection method for unconstrained minimization problem
CATS '08 Proceedings of the fourteenth symposium on Computing: the Australasian theory - Volume 77
Sprouting search-an algorithmic framework for asynchronous parallel unconstrained optimization
Optimization Methods & Software
Pattern search in the presence of degenerate linear constraints
Optimization Methods & Software
Unconstrained derivative-free optimization by successive approximation
Journal of Computational and Applied Mathematics
Efficient Walking Speed Optimization of a Humanoid Robot
International Journal of Robotics Research
Modified movement force vector in an electromagnetism-like mechanism for global optimization
Optimization Methods & Software - THE JOINT EUROPT-OMS CONFERENCE ON OPTIMIZATION, 4-7 JULY, 2007, PRAGUE, CZECH REPUBLIC, PART II
Journal of Global Optimization
OPEDo: a tool for the optimization of performance and dependability models
ACM SIGMETRICS Performance Evaluation Review
Generalized Pattern Search methods for a class of nonsmooth optimization problems with structure
Journal of Computational and Applied Mathematics
A study of parallel evolution strategy: pattern search on a GPU computing platform
Proceedings of the first ACM/SIGEVO Summit on Genetic and Evolutionary Computation
A restarted and modified simplex search for unconstrained optimization
Computers and Operations Research
Multi-walk Parallel Pattern Search Approach on a GPU Computing Platform
ICCS '09 Proceedings of the 9th International Conference on Computational Science: Part I
Experimental Comparisons of Derivative Free Optimization Algorithms
SEA '09 Proceedings of the 8th International Symposium on Experimental Algorithms
A fuzzy biclustering algorithm for social annotations
Journal of Information Science
Parallel Stochastic Global Optimization Using Radial Basis Functions
INFORMS Journal on Computing
Insights into performance of pattern search algorithms for high-frequency surface wave analysis
Computers & Geosciences
A heuristic iterated-subspace minimization method with pattern search for unconstrained optimization
Computers & Mathematics with Applications
Automatic color constancy algorithm selection and combination
Pattern Recognition
Cooperation in the context of sustainable search
CEC'09 Proceedings of the Eleventh conference on Congress on Evolutionary Computation
Control strategies for a distributed mass damper system
ACC'09 Proceedings of the 2009 conference on American Control Conference
Parallel ant colony for nonlinear function optimization with graphics hardware acceleration
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Multi-objective shape segmentation and labeling
SGP '09 Proceedings of the Symposium on Geometry Processing
Image Denoising with Kernels Based on Natural Image Relations
The Journal of Machine Learning Research
Journal of Computational Physics
ICDHM'07 Proceedings of the 1st international conference on Digital human modeling
Shape functional optimization with restrictions boosted with machine learning techniques
Journal of Computational and Applied Mathematics
Quantization based nearest-neighbor-preserving metric approximation
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Modern continuous optimization algorithms for tuning real and integer algorithm parameters
ANTS'10 Proceedings of the 7th international conference on Swarm intelligence
Algorithm 909: NOMAD: Nonlinear Optimization with the MADS Algorithm
ACM Transactions on Mathematical Software (TOMS)
Municipal credit rating modelling by neural networks
Decision Support Systems
Combined heat and power economic dispatch by mesh adaptive direct search algorithm
Expert Systems with Applications: An International Journal
Face recognition via direct search optimized Gabor filters
ICOSSE'06 Proceedings of the 5th WSEAS international conference on System science and simulation in engineering
A new electromagnetism-like algorithm with a population shrinking strategy
ICOSSSE'07 Proceedings of the 6th WSEAS international conference on System science and simulation in engineering
A hybrid shuffled complex evolution approach with pattern search for unconstrained optimization
Mathematics and Computers in Simulation
Direct search as unsupervised training algorithm for neural networks
ICS'10 Proceedings of the 14th WSEAS international conference on Systems: part of the 14th WSEAS CSCC multiconference - Volume II
Pattern Recognition Letters
A new electromagnetism-like algorithm with a population shrinking strategy
MACMESE'07 Proceedings of the 9th WSEAS international conference on Mathematical and computational methods in science and engineering
BSN: An automatic generation algorithm of social network data
Journal of Systems and Software
Structural and Multidisciplinary Optimization
Direct search algorithm for bilevel programming problems
Computational Optimization and Applications
Heuristic pattern search for bound constrained minimax problems
ICCSA'11 Proceedings of the 2011 international conference on Computational science and its applications - Volume Part III
Contingency-constrained optimal power flow using simplex-based chaotic-PSO algorithm
Applied Computational Intelligence and Soft Computing
Shape optimization for tumor location
Computers & Mathematics with Applications
International Journal of Applied Mathematics and Computer Science
Computing a Nearest Correlation Matrix with Factor Structure
SIAM Journal on Matrix Analysis and Applications
Comparing the niches of CMA-ES, CHC and pattern search using diverse benchmarks
PPSN'06 Proceedings of the 9th international conference on Parallel Problem Solving from Nature
Structural and Multidisciplinary Optimization
A numerical method for interface reconstruction of triple points within a volume tracking algorithm
Mathematical and Computer Modelling: An International Journal
Tumor location and parameter estimation by thermography
Mathematical and Computer Modelling: An International Journal
A Low-rate Data Transfer Technique for Compressed Voice Channels
Journal of Signal Processing Systems
Journal of Computational Physics
Derivative-free methods for bound constrained mixed-integer optimization
Computational Optimization and Applications
Engineering Applications of Artificial Intelligence
Artificial bee colony algorithm and pattern search hybridized for global optimization
Applied Soft Computing
Free Pattern Search for global optimization
Applied Soft Computing
Simultaneous optimization and uncertainty quantification
Journal of Computational Methods in Sciences and Engineering - Special issue on Advances in Simulation-Driven Optimization and Modeling
Computational Statistics & Data Analysis
International Journal of Hybrid Intelligent Systems
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We introduce an abstract definition of pattern search methods for solving nonlinear unconstrained optimization problems. Our definition unifies an important collection of optimization methods that neither compute nor explicitly approximate derivatives. We exploit our characterization of pattern search methods to establish a global convergence theory that does not enforce a notion of sufficient decrease. Our analysis is possible because the iterates of a pattern search method lie on a scaled, translated integer lattice. This allows us to relax the classical requirements on the acceptance of the step, at the expense of stronger conditions on the form of the step, and still guarantee global convergence.