This comes, however, at the price of introducing systematic approximations to the posterior distribution of GO term activity, P Gk| D1,k,.., D γ k, k, δ P, δΠ).
In [31], Sousa implemented the Crank-Nicolson discretization in time together with the spline approximations for introducing a solution of this problem and the results are shown in Tables 1 and 2. It is clear from Tables 1 and 2 that the presented method is more accurate than the spline method.
The evaluation of the level of approximation introduced is presented.
The extent of approximation introduced by this method of decoupling the system is evaluated, and tight upper bounds on the norm of errors are derived.
Finally, the level of approximation introduced by evaluating the strain field for the reference Hertzian case is discussed, showing that the error introduced is not acceptable.
For the equations of motion, a dimensional reduction with arbitrary order of approximation is introduced afterwards and compared with existing lower-order formulations from the literature.
The utility function based on our analytical approximation of PER is introduced in Section 3. The interference model is later used in the proposed MAC algorithm, that is derived in Section 4. The proposed algorithm is analyzed and evaluated through computer simulation in Section 5, and we conclude the paper in Section 6.
These models are usually based upon a number of assumptions, simplifications and approximations, thereby introducing uncertainty in the model predictions.
The error analysis of the HRTF approximation is introduced in the following experiments of Section 4.1.
The switching controller is designed to eliminate the effect of the approximation error introduced by the ESRNN upon system stability.
