Examples of using Basis functions in English and their translations into Russian
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As we increase N, we can also increase the degree of the basis functions.
An orthonormalized system of basis functions satisfying the boundary conditions of the problem is obtained.
In the first case, rectangular finite elements with bilinear basis functions are used.
The orthogonal basis functions used in this representation are determined by the covariance function of the process.
The output of the network is a linear combination of radial basis functions of the inputs and neuron parameters.
In modern computational chemistry, quantum chemical calculations are performed using a finite set of basis functions.
In this method, the data is fitted to a set of spline basis functions with a reduced set of knots, typically by least squares.
One way to deal with cases not linearly separable is to map the problem to a new space by using nonlinear basis functions kernels.
An example of unsupervised dictionary learning is sparse coding,which aims to learn basis functions(dictionary elements) for data representation from unlabeled input data.
Other periodic waveforms are often called composite waveforms andcan often be described as a combination of a number of sinusoidal waves or other basis functions added together.
The basis functions, and hence the matrix A, depend on the configuration of the predictor variables x i{\displaystyle x_{i}}, but not on the responses Y i{\displaystyle Y_{i}} or m^{\displaystyle{\hat{m.
Where transform coding is used,it typically assumes the form of one of the basis functions of the coder's transform space.
Since not all interior basis functions need to be present, the p-version finite element method can create a space that contains all polynomials up to a given degree with fewer degrees of freedom.
The spectral element method uses a tensor product space spanned by nodal basis functions associated with Gauss-Lobatto points.
The Y and Z indicate that the valence orbitals are composed of two basis functions each, the first one composed of a linear combination of Y primitive Gaussian functions, the other composed of a linear combination of Z primitive Gaussian functions. .
A radial basis function network is an artificial neural network that uses radial basis functions as activation functions. .
A special class of activation functions known as radial basis functions(RBFs) are used in RBF networks, which are extremely efficient as universal function approximators.
If a problem is nonlinear, instead of trying to fit a linear model,we can map the problem to a new space by doing a nonlinear transformation using basis functions and then use a linear model in this new space.
VIOCs are huge the national corporations,on a financial and economic basis functions uniting in on search, investigation, extraction, processing, transportation, sale and marketing of oil and oil products.
In order to relate representations on infinite-dimensional spaces to the finite-dimensional cases,an ordered basis is chosen for the vector space of functions and the action on basis functions under a given transformation is examined.
The idea is to write the solution of the differential equation as a sum of certain"basis functions"(for example, as a Fourier series which is a sum of sinusoids) and then to choose the coefficients in the sum in order to satisfy the differential equation as well as possible.
The spectral element method chooses instead a high degree piecewise polynomial basis functions, also achieving a very high order of accuracy.
The convenience of using the Fourier transform for solving the discrete Poisson equation stems from the fact that the basis functions of the Fourier expansion are eigenfunctions of the discrete Laplace operator.
Spectral methods and finite element methods are closely related and built on the same ideas; the main difference between them is that spectral methods use basis functions that are nonzero over the whole domain, while finite element methods use basis functions that are nonzero only on small subdomains.
In this article, basis function and atomic orbital are sometimes used interchangeably,although it should be noted that the basis functions are usually not true atomic orbitals, because many basis functions are used to describe polarization effects in molecules.
Radial basis function networks have many uses, including function approximation, time series prediction, classification, and system control.
List of rivers in Sri Lanka Development of a Flood Forecasting Model For Kalu River and Kelani River Basins in Sri Lanka using Radial Basis Function Neural Networks.
The Gaussian radial basis function(RBF) has been chosen as the core for the support vector.
Application of the radial basis function concept to the multidimensional interpolation problems(in Russian)// Digital signal processing and itsapplication(DSPA-2007): Proc. of 9-th Intern. conf. and exhibition.
It is also possible to use the distances to the clusters as features,perhaps after transforming them through a radial basis function a technique that has been used to train RBF networks.