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Empirical studies investigating the complexity of data decomposition and communication are lacking.
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Additionally, we note that there are several caveats to the use of data decomposition methods.
As data and assay complexity increase, so too does the complexity of data analysis.
The complexity of data validation is described.
There are four key issues to implement a parallel agent-based Schelling model, i.e., the ability to handle (1) the complexity of real data processing; (2) spatial data decomposition; (3) the preference and tolerance rates for multiple ethnic groups; and (4) the communication between agents.
An important feature of our method is the utilization of two-stage data decomposition (NICA+cPSMF).
So, the computational complexity of the decomposition can be ignored.
The complexity of QR decomposition can be then considered negligible compared to the global complexity of the iterative receiver.
The complexity of K-Best and LC-K-Best decoders includes the complexity of SQR decomposition at the first iteration and LLR computation.
According to [23], the computational complexity of QR decomposition by Householder reflection with size a × b matrix is O ab2 − b3/3).
The time complexity of this decomposition can be reduced from O(n) to O(n) using parallel algorithms (see, for example, Bientinesi et al., 2006).
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