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The very regular partition growth curves suggest intraspecific developmental rigidity.
For simplicity, we consider now a regular partition of ([0, T]) consisting of K subintervals.
Model selection can either select a regular partition or an irregular partition on a grid.
So we have K δ = A. The a m, ℓ, k 's are the renormalized coefficients of g ℓ ( m ) on the regular partition of size K.
Let T h be a regular partition of Ω. Associated with T h is a finite dimensional subspace V h of C such that χ | τ are polynomials of m-order ( m ≥ 1 ) ∀ χ ∈ V h and τ ∈ T h.
Let T h be regular partition of Ω. Associated with T h is a finite-dimensional subspace V h of C , such that χ | τ are polynomials of order m ( m ≥ 1 ) ∀ χ ∈ V h and τ ∈ T h.
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Therefore, the choice of regular partitions is probably not the best one and one may prefer the GL method.
The proposed algorithm designs an efficient regular partitioning topology by performing link measurements when the nodes are awake for event transmission or reception with minimal extra energy expenditure.
When regular partitions are considered, the resulting estimator satisfies an oracle inequality similar to the oracle inequality established in Theorem 2 for the kernel rule combined with the GL method.
As in the standard Lloyd algorithm, V g i j clearly forms regular partitions, and these tasks will be repeated with ĝ i j = ĝ ∗ i j for the next iteration until a certain criterion is satisfied.
It should be noticed that V i j, j = 1,…, L i, are regular partitions since V g i j will transform to a regular one for z i due to the monotonicity of g ( z 1 M ) with respect to z i.
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