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N.O.A.A.'s Storm Prediction Center reports that many different initial weather conditions can lead to tornadoes, but — most perplexing of all — those same conditions frequently produce no tornadoes whatsoever.
However, the algorithm can be run for many different initial parameter settings to reduce the effect of local minima.
However, by extensive testing, it is observed that for many different initial parameter settings and vector generation procedures, the algorithm leads to unique solutions.
Top: (L^{2}) norm of stable steady states of (3) for a Gaussian threshold distribution, with many different initial conditions, different realisations of (h(x)), and various (h_{0}).
This requires sampling many different initial species compositions and allowing species densities to equilibrate.
The optimal condition to use this nonparametric approach is to visit as many different initial conditions as possible.
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The dependence of the solution on training procedure initialization can be limited by running many training sessions from as many different randomly-selected initial conditions, and choosing the session corresponding to the 50th sorted value (median) of AUC.
However, "cognate TE insertion" could result in many different groups of initial target genes for the TE-MIRs, while miRNAs generated from inverted duplication of target gene have purely one group of target genes.
A similar model has been used to assess the survival times in individual GBM patients following surgical resection [ 9], and it can be integrated readily for many different sets of initial conditions on a laptop computer.
The function is continuous on x ∈ ℝ + 3. Hence, hill-climbing algorithms for continuous functions can be used, and by repeating them many times with different initial values, the local maxima { x | ∂ log p (x ) / ∂ x = 0, | ∂ 2 log p (x ) / ∂ x ∂ x T | < 0 } can be discovered.
All discussed models can, after some calibration, produce believable matches with real world systems suggesting that equifinality - where a given end state can be reached through many different pathways starting from different initial conditions and physical assumptions - plays an important role in fluvial records and their modelling.
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