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Initially, when the additional constraints arising from the proteomic data were imposed on the genome-based reconstruction, no solution was possible by FBA.
Multivariate missing data were imposed on four covariates using four different mechanisms; missing completely at random (MCAR), missing at random (MAR), missing not at random (MNAR) and a combination of all three mechanisms.
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Typical examples are being given in Figs. 2 4, in which no latitudinal constraint on the analysis of the satellite data was imposed.
Conventional decision-making algorithms lack the ability to efficiently solve a decision problem where imprecise data are imposed; thereby the use of fuzzy logic provides the ability to handle imprecise data and to combine and evaluate multiple criteria simultaneously.
Compared with the previous works, there are two advantages of our algorithm: (1) Manifold learning which leverages the underlying geometric structure of the training data is imposed to utilize both labeled and unlabeled data.
In addition, the other small assumptions of the initial data are imposed in [4, 5], some time decay rates results can be obtained and our results also improve the time decay rate results in [4, 5].
Prior distributions obtained from expert data are imposed on the IRT model parameters and are updated with participants' data.
The appropriate functional form for fitting the continuous covariate, age, in the regression model was assessed using fractional polynomials based on 500 full datasets, prior to missing data being imposed.
For the case of transverse bending and in-plane extension of the strips, these decaying state conditions are obtained explicitly for the first time when the mixed edge-data are imposed on the strip edge.
Four multivariate missing data mechanisms were imposed, since these are the least studied mechanisms, yet the most appropriate to real life situations.
To reduce measurement uncertainties in the radar data, several restrictions were imposed before selecting data for analysis.
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