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Exploiting the structure commonly found in gene circuit models, this framework decomposes a system of coupled rate equations into individual ones and efficiently integrates them separately to reconstruct the mean time evolution of the gene products.
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The framework decomposes inefficiencies into two parts.
A general nonnegative matrix factorization (NMF) framework decomposes spectra of reverberated speech in to those of the clean and room impulse response filter.
The multiple nonnegative matrix factorization framework decomposes the two data matrices (X1 and X2) into a common basis matrix W and different coefficient matrices (H1 and H2), where XI (I = 1,2) is an m × nI matrix, W is an m × K matrix containing the basis vectors, and HI is a K × nI matrix containing the coefficient vectors.
Based on this framework, we decompose the caching problem into a content placement subproblem and a request routing subproblem.
This model decomposes the thrust into three parts.
In this framework, a process is decomposed into two abstraction levels, operation level and equipment level, which are bridged using functional representation.
In this framework, the W matrix is decomposed into two components as P and Q.
We illustrate how this framework can be applied to decompose the decision processes for several typical layered video coders with different dependency structures and we observe that the performance of the proposed decomposition highly depends on the ability of the layers to model each other.
This framework proposes an iterative algorithm that decomposes the overall problem into flexibility and feasibility analyses.
To motivate this framework, it is shown how to decompose two simple epidemiological models into processes involving births F t) and migrations G t): an epidemic such that infected hosts progress through two stages of infection and an epidemic spreading in a host population with age structure.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com