cre],Alejandra Martinez[aut]Maintainer Matias Salibian-Barrera<***.ca> Repository CRAN Date/Publication2023-08-3117:30:07UTC R topics documented:RBF-package (2)backf.cl (2)backf.rob (4)deviance.backf (5)fitted.values.backf (6)formula.backf (7)k.epan (7)1 ...
Curve fittingNeural networksStopping powerThis article presents a new framework for fitting measured scientific data to a simple empirical formula by introducing an additional linear neuron to the standard Gaussian kernel radial basis function (RBF) neural networks. The proposed method is first used to...
On the simulation of image-based cellular materials in a meshless style[Formula presented] 2021, Computers and Mathematics with Applications Citation Excerpt : Also, high-performance solvers may be required to overcome the possible linear dependency of the standard hat and special functions. Among the...
Although the RBF is the most widely used SVR kernel function,the expression complexity of RBF makes it difficult to get analytical formula of rolling optimization in model predictive control.A model of predictive control based on RBF-SVR is established,the multi-agent particle swarm optimization (...
Curve fittingNeural networksStopping powerThis article presents a new framework for fitting measured scientific data to a simple empirical formula by introducing an additional linear neuron to the standard Gaussian kernel radial basis function (RBF) neural networks. The proposed method is first used to...
After that, the L2-soft-margin parameter C is obtained by an analytic formula in terms of a jackknife estimate of the perturbation in the eigenvalues of the kernel matrix. In comparison with SVM model selection based on differentiable bounds, such as radius/margin bounds, experimental results on...
· w (4) Mathematics 2022, 10, 2876 3 of 19 Inserting a in the interpolation Formula (1), we obtain the inner product of a shape function array and nodal function images: w(X) = N(X) · w = A[r(X)] · A−1 · w (5) where N(X) = {N1(X), ··· , Nna (X)}T...
The inverse model formula shared by both neural controllers is given below: 𝐹(𝑘)=RBF(𝑣(𝑘),𝜃(𝑘),𝜃˙(𝑘),𝜃(𝑘+1))F(k)=RBF(v(k),θ(k),θ˙(k),θ(k+1)) (26) Table 4. Notation and parameter values for the inverted pendulum. The state Equations (25...
Therefore, through the above formula, we can deduce that the output expression is 𝑯𝑖=(∑∀𝑗𝑒𝜃(𝑭𝑖)𝑇𝜑(𝑭𝑗)×𝑾𝑔𝑭𝑗)/∑∀𝑗𝑓(𝑭𝑖,𝑭𝑗)Hi=(∑∀jeθ(Fi)Tφ(Fj)×WgFj)/∑∀jf(Fi,Fj) (6) Figure 5 shows the architecture of the...
The formula of balanced L1 loss is as follows: 𝐿𝑏(𝑥)={𝑎𝑏(𝑏|𝑥|+1)𝑙𝑛(𝑏|𝑥|+1)−𝑎|𝑥|, 𝑖𝑓 |𝑥|<1 𝛾|𝑥|+𝐶 , 𝑜𝑡ℎ𝑒𝑟𝑤𝑖𝑠𝑒Lb(x)={ab(b|x|+1)ln(b|x|+1)−a|x|, if |x|<1 γ|x|+C , otherwise (...