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This approach is somewhat cumbersome however, requiring pretreatment steps such as cell disruption (e.g. by sonication) and separation of soluble cellular content (e.g. by centrifugation), and requiring the use of specialised and somewhat expensive matrices and equipment (Chow et al. 2008).
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The client has many expensive matrix calculation tasks that exceed his computational abilities.
The LS solution presented in the previous section requires expensive matrix inversion.
Hence, these alternative algorithms are unfavorable for matrices of practical sizes. 2 Intuitively, one circumvents the expensive matrix-matrix multiplication with a domino-like chain of 2J−1 (less expensive) matrix-vector multiplications per transmitted symbol vector.
So, all the tasks are outsourced to the cloud server, which has significant computation resources to perform expensive matrix calculations.
This method is based on a digital filter representation of splines and eliminates the expensive matrix solutions.
Many applications in mobile and embedded systems like signal processing, machine learning, kinematics, dynamics, and control depend on computationally expensive matrix operations.
This is achieved by applying QL decomposition followed by elementary matrix operations on H in a manner analogous to the modified QL decomposition algorithm based on the Gram-Schmidt orthogonalization procedure, thus avoiding the need for expensive matrix inversion operations.
In this paper, we empirically study the usefulness of several simple performance measures that are inexpensive to compute (in the sense that they do not require expensive matrix operations involving the kernel matrix).
To be able to predict these effects and to design optimal coating structures for the fluids and inks used in a variety of printing, lacquering and glueing processes is seen as a significant advance, obviating the need for expensive matrix-designed production trialling.
The Kernel Logistic Regression (KLR) method [18] performed slightly better than BMRF, but this method involves an expensive matrix exponentiation operation, that is needed to compute the diffusion kernel.
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