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This method has no issues with conservativeness, and outperforms all the other methods in terms of a ROC analysis.
As can be seen from Figure 6B and D, this 2D χ vs χ method (purple circles) also has some slight issues with conservativeness, but from Figure 6A and C, it is clear that this slight conservativeness should be tolerated: the new 2D version outperforms the previous 2D method (the purple circles lies above the green squares, and thus has greater AUC).
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Secondly, new stability criteria for stochastic systems with time-varying delay are given with less conservativeness than some recent results.
To deal with this conservativeness, several mathematical approaches have been considered in recent works, e.g., the LMI approach and the time-dependent Lyapunov functional method.
A key question, addressed here, is what weight penalty is associated with this conservativeness and how much it can be reduced by using coupon and element tests.
Therefore, new stability criteria with less conservativeness for delayed GNNs in the frame of multi-partitioning delay approach combining with tighter bounding techniques/inequalities need to be urgently established, which is the main motivation of this paper.
By constructing a parameter-dependent Lyapunov function, two sufficient conditions with less conservativeness are developed, which ensure the stochastic stability and the strictly (Q-S-R -γ-dissipative performance of the estimation error system.
For GC and PedGR-GC type 1 error is close to the nominal α while GRAMMAR is conservative and this conservativeness increases with the increase in the number of sibships and the heritability of the trait.
In line with the principle of conservativeness [26], the most conservative option, 100% for DFAR was used.
In this way, the conservativeness with respect to previous results is decreased.
The system under consideration is an extension of its known Lipschitz counterpart and possesses inherent advantages with respect to conservativeness.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com