Genetic programming: on the programming of computers by means of natural selection
Genetic programming: on the programming of computers by means of natural selection
Computational intelligence PC tools
Computational intelligence PC tools
Advances in knowledge discovery and data mining
Advances in knowledge discovery and data mining
ACM Computing Surveys (CSUR)
Genetic Algorithms in Search, Optimization and Machine Learning
Genetic Algorithms in Search, Optimization and Machine Learning
Pattern Recognition with Fuzzy Objective Function Algorithms
Pattern Recognition with Fuzzy Objective Function Algorithms
Alternatives to the k-means algorithm that find better clusterings
Proceedings of the eleventh international conference on Information and knowledge management
On Clustering Validation Techniques
Journal of Intelligent Information Systems
Clustering Validity Assessment: Finding the Optimal Partitioning of a Data Set
ICDM '01 Proceedings of the 2001 IEEE International Conference on Data Mining
Evolutionary Optimization Versus Particle Swarm Optimization: Philosophy and Performance Differences
EP '98 Proceedings of the 7th International Conference on Evolutionary Programming VII
Learning structure and concepts in data through data clustering
Learning structure and concepts in data through data clustering
Fundamentals of Computational Swarm Intelligence
Fundamentals of Computational Swarm Intelligence
Dissipative particle swarm optimization
CEC '02 Proceedings of the Evolutionary Computation on 2002. CEC '02. Proceedings of the 2002 Congress - Volume 02
Extending particle swarm optimisers with self-organized criticality
CEC '02 Proceedings of the Evolutionary Computation on 2002. CEC '02. Proceedings of the 2002 Congress - Volume 02
An overview of evolutionary algorithms for parameter optimization
Evolutionary Computation
Clustering by competitive agglomeration
Pattern Recognition
The fully informed particle swarm: simpler, maybe better
IEEE Transactions on Evolutionary Computation
A Cooperative approach to particle swarm optimization
IEEE Transactions on Evolutionary Computation
Comprehensive learning particle swarm optimizer for global optimization of multimodal functions
IEEE Transactions on Evolutionary Computation
A hierarchical particle swarm optimizer and its adaptive variant
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
A Modified PSO Structure Resulting in High Exploration Ability With Convergence Guaranteed
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Particle Swarm Optimization With Recombination and Dynamic Linkage Discovery
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Advances in Engineering Software
Stochastic approximation driven particle swarm optimization
IIT'09 Proceedings of the 6th international conference on Innovations in information technology
Chaotic maps based on binary particle swarm optimization for feature selection
Applied Soft Computing
Multi-dimensional particle swarm optimization in dynamic environments
Expert Systems with Applications: An International Journal
Evolutionary RBF classifier for polarimetric SAR images
Expert Systems with Applications: An International Journal
EvoApplicatons'10 Proceedings of the 2010 international conference on Applications of Evolutionary Computation - Volume Part I
Maximum likelihood estimation of Gaussian mixture models using stochastic search
Pattern Recognition
Integration of particle swarm optimization and genetic algorithm for dynamic clustering
Information Sciences: an International Journal
Global optimization using a multipoint type quasi-chaotic optimization method
Applied Soft Computing
Adaptive Neuro-Fuzzy Control Approach Based on Particle Swarm Optimization
International Journal of Swarm Intelligence Research
Compact Particle Swarm Optimization
Information Sciences: an International Journal
Two-layer particle swarm optimization with intelligent division of labor
Engineering Applications of Artificial Intelligence
Particle swarm optimization with increasing topology connectivity
Engineering Applications of Artificial Intelligence
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In this paper, we propose two novel techniques, which successfully address several major problems in the field of particle swarm optimization (PSO) and promise a significant breakthrough over complex multimodal optimization problems at high dimensions. The first one, which is the so-called multi-dimensional (MD) PSO, re-forms the native structure of swarm particles in such a way that they can make interdimensional passes with a dedicated dimensional PSO process. Therefore, in an MD search space, where the optimum dimension is unknown, swarm particles can seek both positional and dimensional optima. This eventually removes the necessity of setting a fixed dimension a priori, which is a common drawback for the family of swarm optimizers. Nevertheless, MD PSO is still susceptible to premature convergences due to lack of divergence. Among many PSO variants in the literature, none yields a robust solution, particularly over multimodal complex problems at high dimensions. To address this problem, we propose the fractional global best formation (FGBF) technique, which basically collects all the best dimensional components and fractionally creates an artificial global best (aGB) particle that has the potential to be a better "guide" than the PSO's native gbest particle. This way, the potential diversity that is present among the dimensions of swarm particles can be efficiently used within the aGB particle. We investigated both individual and mutual applications of the proposed techniques over the following two well-known domains: 1) nonlinear function minimization and 2) data clustering. An extensive set of experiments shows that in both application domains, MD PSO with FGBF exhibits an impressive speed gain and converges to the global optima at the true dimension regardless of the search space dimension, swarm size, and the complexity of the problem.