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It is, indeed, another and, I think, more difficult matter that parsimony is "in the eye of the beholder", i. e., we often effectively apply weighted parsimony, with the weight of different characters determined either on pure intuition or with some rationale.
We apply weighted values in consideration of the MOPNET environment.
We apply weighted Mourre commutator theory to prove the limiting absorption principle for the discrete Schrödinger operator perturbed by the sum of a Wigner von Neumann and long-range type potential.
We apply weighted sparse coding for dictionary learning, and thus enforce both sparsity and locality, since locality may be more important than sparsity, as suggested by Wang et al. [7].
Given that our database is composed of coupon bonds, together with bills and repos, we still apply weighted nonlinear least squares, but fix (tau ) at a constant value, to obtain beta parameters by minimizing (2) (see Bank for International Settlements 2005 for the Spanish yield curve).
In the second step, we apply weighted sparse representation based classifier (WSRC), a variant of traditional SRC, to classify the interacting and noninteracting protein pairs based on their feature representation.
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Another study applied weighted benefit scores (WBS) performed the weighting exercise by allocating 100 points among criteria [ 41].
BIRLS method [22] applies weighted LS in each iteration and depends on the weight matrix to make the solution sparse.
To have a more detailed picture, we applied weighted MDMR test to the "Risk Rare" data sets with modified weights w l p, l = 1, … L, where the power value p varied from 0 to 1. So, p = 1 corresponded to the beta weights applied in our study, whereas p = 0 corresponded to the analysis without weights.
In these analyses, we treated teachers' responses categorically and applied weighted least squares means and variance adjusted (WLSMV) estimation (Rhemtulla et al. 2012; Sass et al. 2014).
To account for the ordinal item responses, we applied weighted least squares estimation (WLSE) analyses.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com