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The exploratory GAM analysis indicated a quadratic scale for both age and week (more pronounced for week).
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Coefficients of the quadratic scaling laws are fitted by both FEA and experiments which are compared with each other.
The corresponding scaling with a growing simulated particle number is near-proportional with scaling exponents between 1.17 and 1.39 (thus well below quadratic scaling).
The resulting model size, however, scales only linearly with the number of discretization grid points instead of the quadratic scaling for standard discretizations.
Thus, using the mutual coherence metric, we have a sub-optimal quadratic scaling of M with the sparsity S. In comparison, a linear scaling of M with S is achieved with the RIC.
The above quadratic scaling, unfortunately, restricts such measurements severely; e.g., the best error rate for measuring expression level of single fluorophore with K = 3 gradations, using SIM and IDLM, and assuming cmax≈1000 µm−2, is R≈10 20%, that can be found from Figure 6A and ceff ≈100 µm−2.
Why should the quadratic scaling of regulators limit prokaryotes but not eukaryotes?
The quadratic scaling takes into account that the ratio distribution is not symmetrical around ratio 1.
The quadratic scaling causes the program to be quite slow on inputs with large numbers of individuals.
They were all calibrated between the same distance bounds (1.8 and 5 Å) and were applied with "hard" (quadratic) scaling at their extrema.
Nonetheless, full orthologous set recovery will require the development of approaches that still avoid the quadratic scaling of all-versus-all comparisons, while retaining more information about clustered sequences.
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