Sentence examples for ridge function from inspiring English sources

A ridge function is constant along several directions in its domain, so fitting occurs on the coordinates of a low-dimensional subspace of the input space.

We then propose a simple alternating heuristic for fitting a ridge function, and we demonstrate the effectiveness of the active subspace initial guess applied to an airfoil model of drag as a function of its 18 shape parameters.

Also open is the local minimax bound with squared error loss for logistic regression or more generally for a probability of cancer expression which is a ridge function.

These authors have shown that it is not possible to obtain an exact reconstruction of a signal using the Gabor ridge functions ([5], Theorem 1), and therefore they have modified their class of functions to the weighted Gabor ridge functions (see [5] for details).

As in the case of ridgelets, Grafakos and Sansing in [5] introduced the Gabor ridge functions g_{u, b, a}(x)=e^{2pi i a ucdot x-b }g ucdot x-b }g ucdotfor ((u,b, a)inmathbb{Y}^{2n}), which can be viewed as time-frequency analysis elements in the Radon domain.

Motivated by the advantages of ridge basis function representation of a given function, such as the connection to neural network, fast convergence as the number of terms is increased, better approximation effects and various applications in engineering problems, a meshless method is developed based on the collocation method and ridge basis function interpolation.

It turns out, for example, that the cells in the ridge can function only if the limb bud can make sonic hedgehog.

Ridge distribution function.

(R_{i}) is a single factor evaluation vector, in which the value of (r_{i1},r_{i2}, ldots,r_{im}) is determined by the classical ridge distribution function Eq. 4.

So by keeping BMP4 levels low, sonic hedgehog lets the ridge continue to function.

Investigations and descriptions of fitness ridges (a fitness ridge is a function relating fitness and genotype) are necessarily difficult and confusing due to the complex and often multidimensional nature of such ridges.