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Then, we prove that the trace optimization of the proposed measure is equivalent with the objective functions of algorithms such as nonnegative matrix factorization, kernel K-means as well as spectral clustering.
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From (26) it is obvious that minimization of L with respect to θ ℓ is equivalent with maximization of an objective function η defined as shown in (16).
This is equivalent to the objective function: (7) where again the sum is over all edges in the scaffolding graph.
Since m is constant for all supertrees, the objective function is equivalent to the one for bifurcating input trees.
Note that the basic objective function is equivalent to the Sparse Generalized Canonical Correlation Analysis (SGCCA) [ 17].
Equation (8) shows that by using normalized likelihood ratios, our objective function is equivalent to the relative entropy.
This - rather than to test whether SLED is equivalent to CVVH - was the objective of our hypothesis.
This is equivalent to opening up the aperture stop in the objective, as opposed to using a pinhole.
While many health professionals believe that more objective is equivalent to better, this is not always the case.
The objective function (24a) is equivalent to (25).
We hypothesised that the two versions would be equivalent, and our objectives were to assess: 1.
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