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The Lagrange multipliers are estimated by maximizing entropy or minimizing the corresponding objective function which is the dual problem of maximizing entropy.
Similarly, the current study uses multiple decision trees as well, but instead of the additive assumption, it is proposed to train the smoothest distribution by maximizing entropy measure.
We rewrite the original variational problem as a saddle point problem and discretize it using basis functions which form the Pareto optimum between competing objectives of maximizing entropy and minimizing the total width of the approximation scheme.
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The next step is to maximize entropy given by Eq. (1), subject to Eqs. (2) and (3).
States of statistical equilibrium are introduced as those macrostates that maximize entropy subject to the relevant information codified into constraints.
The maximum entropy principle states that an efficient estimate is the one that maximizes entropy (uncertainty) subject to our knowledge about the observation vectors.
Kurtosis would be higher than either, but this is the distribution that maximizes information (entropy) for a given variance – so it would be interesting to see how it does.
We mention here that we used, instead of the basic Kohonen SOM [42], a variant called conscience learning[49], which encourages all SOM neurons to win with equal frequency through a biasing 'conscience' and thereby maximizes information theoretical entropy of the mapping.
Overall, theoretical limits of the codon entropy show that there is a natural tendency for maximizing codon entropy given the genomic GC content, which is driven by the nature of random mutations and is supported by the redundancy of the genetic code.
The diffusion characteristics of the bound complex were then calculated from FCS data using the maximum entropy method (MEMFCS [30], which attempts to minimize the normalized chi-square value χ2 while maximizing the entropy 'S' in the calculations.
An entropy measure for this distribution is defined, and the inverse shortest path problem is formulated in terms of maximizing this entropy.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com