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Also, they showed that it is the robust solver even in cases of problems with a smoother function.
Since the force is usually a smoother function of space than of time, this can improve algorithmic efficiency and accuracy.
This is due to a perfect correlation between pore volume and transmissivity that causes pore velocity to be not directly dependent on the transmissivity, but only indirectly through the hydraulic gradient, which is a much smoother function due to the diffusive behaviour of the flow equation acting as a filter.
In this paper, the authors propose to solve this problem by changing the codec structure so that the output distortion will be a smoother function of the rate.
On the other hand, for larger values of σ, F σ (s) is a smoother function and contains fewer local maxima, and its maximization may be possible (in fact there are no local maxima for large values of σ[47]).
We considered the pattern to be significant if the smoother function was significant (P < 0.05).
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Nowadays, it is clear that involving a small magnitude of noise in the input is equivalent to introducing a certain regularization in the objective function, which in turn encourages the network converging to a smoother mapping function [36].
Across countries, there are important gains to be realised from knowledge sharing, and from multilateral action to provide global public goods – not least smoother functioning of the multilateral trading system.
Smoother functions are likely to be more appropriate.
For our real data-set, the calculated (quasi-) electric phase tensors appeared to be smoother functions of period than the MT phase tensor.
Surprisingly enough, the (quasi-) electric phase tensors seem to be smoother functions of period than the MT phase tensor, which becomes especially clear at long periods where the MT phase tensor elements show some scatter.
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