Asymptotic and computational analysis: conference in honor by R. Wong

By R. Wong

Papers offered on the foreign Symposium on Asymptotic and Computational research, held June 1989, Winnipeg, Man., subsidized by way of the department. of utilized arithmetic, collage of Manitoba and the Canadian utilized arithmetic Society.

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Each time one part is chosen as the unseen testing set and the other twos as the training set. Total three comparison results decide which kind of system is better. In the training phase, we use 3-fold cross-validation to evaluate systems’ performances on training set. RBF kernel is also chosen as each granular kernel function. 00001, 1] and the range of regularization parameter C is set to [1, 256] . 2. The population size is set to 300 and the number of generations is set to 50. The software package of SVMs used in the experiments is LibSVM [18].

S, C. Priami et al. ): Trans. on Comput. Syst. Biol. V, LNBI 4070, pp. 36–48, 2006. c Springer-Verlag Berlin Heidelberg 2006 A Control Model for Markovian Genetic Regulatory Networks 37 where v(t) = [v1 (t), v2 (t), . . , vs (t)]T . The Boolean network is a deterministic model. However, gene expression is stochastic in nature and there is also experimental noise due to complex measurement process. To overcome the deterministic rigidity of a Boolean network, extension to a probabilistic setting is necessary.

5 can be got from the probabilistic boolean network when x1 = 0 in Table 1. 5 0 1 Next the task is to construct the control transition matrix B. The entries of B correspond to change of probabilities of all the states when the controls are applied. In this example, we only apply one control, so the matrix B has only one column. Since matrix A(2)T is the transition matrix when the control is applied (u = 1 for x1 ), B can be constructed from A(2)T . The change of the probability of state j when the control is applied is the contribution of transitions from all the states.

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