c ocr library

c ocr library open-source

c ocr library

c ocr library open-source

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Figure 162 Multi-particle gbest PSO Illustration Returning to more than one particle, Figure 162 visualizes the position updates with reference to the task of minimizing a two-dimensional function with variables x1 and x2 using gbest PSO The optimum is at the origin, indicated by the symbol Figure 162(a) illustrates the initial positions of eight particles, with the global best position as indicated Since the contribution of the cognitive component is zero for each particle at time step t = 0, only the social component has an in uence on the position adjustments Note that the global best position does not change (it is assumed that vi (0) = 0, for all particles) Figure 162(b) shows the new positions of all the particles after the rst iteration A new global best position has been found Figure 162(b) now indicates the in uence of all the velocity components, with particles moving towards the new global best position Finally, the lbest PSO, as illustrated in Figure 163, shows how particles are in uenced by their immediate neighbors To keep the graph readable, only some of the movements are illustrated, and only the aggregate velocity direction is indicated In neighborhood 1, both particles a and b move towards particle c, which is the best solution within that neighborhood Considering neighborhood 2, particle d moves towards f , so does e For the next iteration, e will be the best solution for neighborhood 2 Now d and

The advent of digital television broadcasting throughout the world The availability of low-cost digital storage on disk and tape The development of computer-based techniques for video composition and editing (including animation and special effects) The development of powerful digital video compression standards (in particular the MPEG standard)

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Selection is applied to determine which individuals will take part in the mutation operation to produce a trial vector, and to determine which of the parent or the o spring will survive to the next generation With reference to the mutation operator, a number of selection methods have been used Random selection is usually used to select the individuals from which di erence vectors are calculated For most DE implementations the target vector is either randomly selected or the best individual is selected (refer to Section 132) To construct the population for the next generation, deterministic selection is used: the o spring replaces the parent if the tness of the o spring is better than its parent; otherwise the parent survives to the next generation This ensures that the average tness of the population does not deteriorate

Algorithm 133 provides a generic implementation of the basic DE strategies Initialization of the population is done by selecting random values for the elements of each individual from the bounds de ned for the problem being solved That is, for each individual, xi (t), xij (t) U (xmin,j , xmax,j ), where xmin and xmax de ne the search boundaries Any of the stopping conditions given in Section 87 can be used to terminate the algorithm Algorithm 133 General Di erential Evolution Algorithm Set the generation counter, t = 0; Initialize the control parameters, and pr ; Create and initialize the population, C(0), of ns individuals; while stopping condition(s) not true do for each individual, xi (t) C(t) do Evaluate the tness, f (xi (t)); Create the trial vector, ui (t) by applying the mutation operator; Create an o spring, xi (t), by applying the crossover operator; if f (xi (t)) is better than f (xi (t)) then Add xi (t) to C(t + 1); end else Add xi (t) to C(t + 1); end end end Return the individual with the best tness as the solution;

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This movement toward digital video standards has allowed the television industry to represent video programming as digital files, making the handling of video very similar to the handling of files in the dataprocessing industry Video producers, therefore, can take advantage of the experience of the data-processing industry They can leverage the deep expertise and technology of data processing, which is designed to manage data efficiently, and apply it to the management of video and other broadcasting assets

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