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Additionally, the majority of our patients were operated on in different centers by different surgeons and some patients did not attend our hospital for assessment with optimum regularity.
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Since regularity of a local optimum is thus established, one can now use KKT necessary conditions to obtain the following important result that can be used to design locally optimal quantized power codebooks: Suppose { p 1 j ∗, …, p Mj ∗ } j = 1 L be an optimum to Problem (25).
Note that KKT necessary conditions usually require regularity of a local optimum, which amounts to (in the context of Problem (25)) linear independence of the gradients of the active inequality constraints evaluated at the local optimum (see Proposition 3.3.1, p. 310 in[25]).
Under mild regularity conditions, convergence to a local optimum is guaranteed if one uses an appropriate schedule for decreasing η towards 0 during learning [21].
One of the most important challenges is the design of methods capable of automatic discovery and exploitation of problem regularities to ensure efficient and reliable search for the optimum.
We show that, under mild regularity conditions, the KKT conditions of the proposed model are necessary for local optimum.
This regularity of a characteristic spectrum is called further as 3-regular heterogeneity, or 3-regularity.
The Little Optimum reversed.
DVD & Blu-ray, Optimum.
What are optimum conditions?
Roger Martin Chairman, Optimum Population Trust.
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