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The red curve represents the assembled strong learner model; which could be seen as a better approximation to the data.
It is important to remark, however, that the progression from one class to the next one must not be understood as a "shift", but rather as a better approximation (see Table 1 and/or Text S1, Equations 3 and 4) which becomes necessary as the tumor ages.
A model f1 y| x; θ1*), denoted f1 for short, is regarded as a better approximation to the true model h y| x), than the alternative model f2 y| x; θ2*) if and only if KLIC(h; f1) < KLIC(h; f2), or alternatively, E[log f1] > E[log f2] (Sawa 1978).
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These insights allow us to arrive at a better approximation to the rate of the ratchet.
DDEs have been used to model biological processes as they give a better approximation for such aspects [ 68, 69].
Square regression (with mean lifespan as a dependent variable and Lim3A mRNA amount as independent variable) is a better approximation for our data (R2 = 0.062 for embryos; R2 = 0.011 for heads; R2 = 0.007 for testes) than linear regression (R2 = 0.0029 for embryos; R2 = 0.0006 for heads; R2 = 0.000 for testes).
Since the EWNC technique is equivalent to ours when a uniform probability model is assumed, our technique still outperforms this reference as long as the model used is a better approximation of the real distribution than the uniform model, e.g., in terms of Kullback Leibler divergence.
As was mentioned above, a better approximation could possibly be gained by state-variant delay distributions.
(Also, the order of the mean firing rates is reversed when compared to the PME as the LNL cascade gives a better approximation at lower firing rates).
The refining improvement of (18c) gets more pronounced with the second order approximation process as a second order approximation is certainly a better approximation than the first order approximation.
Coalescent approaches are promising for LD mapping, as the coalescent is likely to provide a better approximation to the evolutionary history of mutations compared to empirical clustering methods.
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