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Estimation of the gradient is a key issue in extremum-seeking methods.
This estimator is then differentiated by means of the score function approach which enables the estimation of the gradient of the failure probability without any additional call to the limit-state function (nor its Kriging emulator).
The drawback of this algorithm lies in the estimation of the gradient vector of the limit-state function, which is often carried out by finite differences for non-explicit functions, resulting from the Finite Element Method for instance.
If the perturbation chosen in the estimation of the gradient vector gives a variation of the output lower than the numerical accuracy of the limit-state function, the algorithm could lead to erroneous results or even not converge.
As a specific application case, we evaluated the estimation of the gradient and unevenness of sidewalks by machine learning from the sensor data during the passage of strollers, and verified the effectiveness of this method.
for some, where, with some abuse of notation, is used to denote a noisy estimation of the gradient vector and with is an appropriately chosen sequence of diminishing step sizes [37].
Similar(50)
Dose response curves with small gradients give rise to complications during the estimation of low-effect doses.
This is thought to be a result of inaccuracies in the estimation of the gradients.
A plate map model is implemented for the direct estimation of the gradients.
Although random fluctuation of the amplitude at stations can be minimized by least squares estimation of the spatial gradient, explicit correction of pre-estimated site amplification factors should allow more precise estimation of amplitude.
It is demonstrated that, this approach improves the estimation of the data gradient, comparing to the Born approximation.
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