The earliest approximation was to linearize the nonlinear function and apply the resulting Jacobian matrix to the given mean and covariance.
12.
If this is done in a reproducing kernel Hilbert space, a kernel method can be a universal approximator for a nonlinear function.
13.
Linearization makes it possible to use tools for studying linear systems to analyze the behavior of a nonlinear function near a given point.
14.
Outputs of one or both linear and nonlinear functions can be fed back into the cipher state or used as its output filters.
15.
The kernel trick avoids the explicit mapping that is needed to get linear learning algorithms to learn a nonlinear function or decision boundary.
16.
TOLMIN seeks the minimum of a differentiable nonlinear function subject to linear constraints ( equality and / or inequality ) and simple bounds on variables.
17.
The principal advantage of the approach is that the nonlinear function is fully exploited, as opposed to the EKF which replaces it with a linear one.
18.
In RF systems where output spurious signals are nonlinear function of input power, more precise measurement is required to take into account this non-linearity in power.
19.
The ( indirect ) utility function for money is a nonlinear function that is concave in the positive region, reflecting the phenomenon of diminishing marginal utility.
20.
A perfect multiplier only produces mixer products at the sum and difference frequencies, but more general nonlinear functions produce higher order mixer products : for integers and.