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According to the obtained distribution of the removal function, the latter can be used to optimize the etching time matrix by minimizing the root-mean-square error between the simulation results and the design value.
A Jacobi-type parameter is determined in the pre-conditioner matrix by minimizing the Frobenius norm of the matrix function representing the difference between the IB forcing solution matrix and the pre-conditioner matrix.
For the case of an actual heterogeneous formation, we use the injection and production data to estimate the proper influence matrix by minimizing the misfit between predicted and actual reservoir performance.
The weight terms are now used to find the transformation matrix by minimizing the difference between the target weights and the transformed source weights.
The DOA estimation problem can be formulated as recovering a spatial sparse signal vector or matrix by minimizing the residual norm under sparsity constraint.
Briefly, the algorithm determines the matrix by minimizing the difference between measured and predicted affinities, while preferring matrices that assign similar scores to amino acids known to have similar binding characteristics (see Material & Methods).
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Although relevant HPLC methods are available elsewhere, this study seeks to simplify an HPLC method that is fit for local sample matrices by minimizing the use of solvents/reagents.
This multilinearity property is exploited for parameter estimation using the standard alternating least squares (ALS) algorithm[4, 5] that consists in alternately estimating each matrix factor by minimizing a least squares error criterion conditionally to the knowledge of the other matrix factors that are fixed with their previously estimated values.
Such a set of mappings is obtained, building on the notion of the maximum margin matrix factorization, by minimizing a weighted sum of nuclear norms.
One way to recognize termination is when D ( r ) agrees sufficiently well with D ( r + 1 ), where D ( r ) denotes the Euclidean distance matrix obtained by minimizing ϕ when Λ r in (3.1) has r diagonal elements.
NF-κB-binding sequences were identified by TRANSFAC 4.2 filtering matrix scores by minimizing the sum the false positive and negative error rates.
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