For example, a well-represented radial function, Gaussian radial function, is centered at the origin in ℝ2 (two-dimensional space). It can be written as (3.30)ϕ(x)=ϕ(r)=e−cr2,x=(x,y)∈ℝ2,r∈ℝ wher
Training of a radial-basis-function network using the K-means clustering algorithm and the P-nearest neighbor heuristic has two important features. First, we do not use any desired output to train the input connections to the hidden layer. Second, for any given training example expressed by the...
The collocation methods based on Multiquadric (MQ) Radial basis function (RBF) has been developed for the arising ODE. The method has been tested on an example to show that the presented method is easy applicable and simple. The computed solution is in a good of the solved example with the...
the property is aradial function. The norm is usually Euclidean distance, although other distance functions are also possible. For example by using Lukaszyk-Karmowski metric, it is possible for some radial functions to avoid problems with ill conditioning of the matrix solved to...
This forms N equations with N unknowns and can be solved uniquely. Thus, the surface passes through the data values, making predictions exact. The radial basis function in this example is a special case of the multiquadric RBF. Geostatistical Analyst also allows you to use other RBFs such a...
performed# well for me and they do not require the user to tune a shape# parameter. Use higher order polyharmonic splines for higher# order PDEs.order=2# Order of the added polynomials. This should be at least as# large as the order of the PDE being solved (2 in this case). Larger...
For example, we can build a classi cation model to cate- gorize bank loan applications as either safe or risky, a pa- tient has cancer (yes, no) based on various medical data, whereas a prediction model to predict the expenditures in dollars of potential customers on computer equipment ...
There exists a vast body of literature on both the theoretical and the computational features of RBF: for example refer to [1, 2, 3] for a detailed treatment of the subject. RBF have an important application in the context of multiobjective optimization. In real case applica-tions, it is...
The proposed kernel is called the quadratic-radial-basis-function kernel (QRK) and it combines both quadratic and radial basis function (RBF) kernels. The proposed classifier has the ability to classify all kinds of multi-class agricultural datasets with continuous features. Rigorous experiments using...
On the other hand, designing a radial basis network often takes much less time than training a sigmoid/linear network, and can sometimes result in fewer neurons' being used, as can be seen in the next example. Why did you choose this rating?Submit ...