Exact(3)
We analyzed the pressure pattern in Typhoon Bart by an objective method and computed the gradient wind from it.
As shown in Fig. 4, we computed the gradient p by linear approximation with the least squares method.
On the gray-scale image, we computed the gradient magnitude in both directions with the following convolution kernels: V = − 1 1 H = − 1 1 T (8).
Similar(57)
Since the AFD and the proposed algorithm use the same matrix inverse operations, which consist of the most significant part of the computation, to compute the gradient of the objective values, both algorithms have similar computational complexity O(m 3) in each of the iterations (refer to [28]).
The proposed procedure computes the gradient of a cost function by computational costs comparable to a model simulation itself, thus enabling the management of large-scale systems.
Moreover, it is shown that computing the gradient of the cost function analytically provides significant savings in computer runtime over finite-difference approximations.
Use the adjoint method to compute the gradient of the log likelihood function from a Kalman filter.
In aerodynamic optimization, the adjoint method is used to compute the gradient of the objective function.
We use the continuity equation to derive a pressure equation to compute the gradient part of the vector field.
The CVM is used also to compute the gradient coefficient in the Cahn Hilliard coarse-grained free energy.
Finally, we investigate two different approaches to compute the gradient by the adjoint state method and show the significant advantages of using OpenCL for FWI.
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