Sentence examples for using the gradient of from inspiring English sources

Observation equations are formulated using the gradient of the spherical harmonic expansion of the geopotential.

The multicomponent coupled ionic diffusive fluxes of reactants and products were defined by using the gradient of the electrochemical potentials as driving forces for the diffusion.

Using the gradient of kernel function, we define two new statistics which represent the contribution of each variable to the monitoring statistics, Hotelling's T2and squared prediction error (SPE) of kernel PCA, respectively.

The update rules guide the search to a solution using the gradient of the cost functions.

Similarly, by Fisher's identity, recursive maximum likelihood estimates may be computed using the gradient of the log likelihood which can be written as the conditional expectation of an additive functional of the hidden states.

Due to linearity, they may also be used to compute the difference between the models' magnetic field components using the gradient of Eq. 1 in the spatial domain on a reference sphere, such as the Earth's mean radius r=a or the core mantle boundary at r=3485 km.

The key idea of zigzag search is searching around the Pareto front by applying an efficient local-search procedure using the gradients of the objective functions.

This is done using the gradients of the water vapor pressure and of the CO2 concentration inside the leaves to the corresponding pressures of the atmosphere (Equations 2 to 5).

To find the equilibrium positions, we use the gradient of the total potential energy and numerically minimize the total potential energy using a multidimensional Newton's method.

In an alternate formulation, Ratha et al. [19] use the gradient of a mixture of Gaussian kernels to determine the direction of movement and the extent of movement is determined by the scaled value of the mixture.

Specifically, we use the gradient of these functions with respect to a bundle's remaining lifetime and number of replicas in order to maximize delivery ratio and reduce delay.