Sentence examples for based approximations to the from inspiring English sources
Due to the high computational complexity and long convergence time of SPSA, we make an ordering assumption on the power codebook entries and derive effective hyperplane based approximations to the channel quantization regions and present a number of low-complexity suboptimal quantized power codebook design algorithms.
The density of expression values for each gene in each tissue type was calculated (Additional file 2A-B) as follows: For computational efficiency we used fast Fourier transformation based approximation to calculate kernel density estimates (R 2.7.2 [ 47]).
For this purpose, Markov Chain Monte Carlo (MCMC) methods provide powerful tools for the computation of simulation-based approximations to the posterior distribution.
A new suboptimal control method, called the θ-D method, gets an approximate closed-form solution to this nonlinear guidance problem based on approximations to the Hamilton-Jacobi-Bellman equation.
The method is based on approximations to the solution of Riemann problems where the solution is represented by piecewise constant states separated by discontinuities.
It is shown how these two-point based approximations are well adapted to the problem and can improve the optimization task, leading to reasonable computational efforts.
Due to the complexity of the problem, we propose a dynamic programming based approximation approach to find efficient solutions under given constraints.
ZOM based approximations are thus assumed to better model random mutations in DNA sequences, while FOM and SOM based approximations are more suited to model neighboring dependencies and short range correlations, respectively.
The algorithm is based on analytical approximations to the local RBF-FD error derived in [1].
In particular, Wald-type confidence intervals were computed for parameter estimates, whilst significance tests were based on χ2 approximations to the distribution of the log likelihood ratio.
