Computational intelligence: From mathematical point of view

A simple but illustrative survey is given on various approaches of computational intelligence with their features, applications and the mathematical tools involved, among which the simulated annealing, neural networks, genetic and evolutionary programming, self-organizing learning and adapting algorithms, hidden Markov models are recommended intensively. The common mathematical features of various computational intelligence algorithms are exploited. Finally, two common principles of concessive strategies implicated in many computational intelligence algorithms are discussed.