In this table, we use the following denotations: Dim: the dimension of the objective function; GV: the gradient value of the objective function when the algorithm stops; NI: the number of iterations; NF: the number of function evaluations; CT: the run time of CPU; CBFGS: the CBFGS method associated with Armijo line search rule; NCBFGS: the new BFGS method proposed in this paper.
Since the dimension of the feedforward function is only equal to two, this new scheme is much simpler than the existing approaches.
Since the efficient procedure of selecting wavelets used in the OLS method is not very sensitive to the input dimension, the dimension of the approximated function does not cause the bottleneck for constructing FWN.
Additionally the dimension of the spatial trend function was decreased slightly (edf = 93.38).
Remark 2.13 When system ( S λ ) has the special structure shown in (1.2), it can be deduced from [[26], Corollary 4.6] that the total number of eigenvalues of (2.1) is equal to the dimension of the space of admissible functions for the associated discrete quadratic functional.
By increasing the dimension of the 2-dimensional spatial trend function, the model was improved significantly.
In this survey, we analyze these advances, categorize them along the dimensions of the plenoptic function, and present the relevant aspects of human perception on which they rely.
By introducing weight coefficients for the dimensions of the objective function of the model, zero deviations of the percent passing of HMA mixture aggregates from their standard values may be easily obtained, based on the preferences set.
Since the number |Θ| is the same as the dimension of the space of games in partition function form, the proof is complete. square). square
F A (x) is a random function which converges almost surly to a deterministic cumulative distribution function as the dimension of the system grows.
The computation time as a function of the dimension of the data is provided by Fig. 13 and given in seconds (using an Intel Core i7 5820K).
