The maximum entropy principle for compositional data [PDF]
BMC Bioinformatics, 2022 Background Compositional systems, represented as parts of some whole, are ubiquitous. They encompass the abundances of proteins in a cell, the distribution of organisms in nature, and the stoichiometry of the most basic chemical reactions.
Corey Weistuch +3 more
doaj +4 more sources
Remarks on the Maximum Entropy Principle with Application to the Maximum Entropy Theory of Ecology [PDF]
Entropy, 2017 In the first part of the paper we work out the consequences of the fact that Jaynes’ Maximum Entropy Principle, when translated in mathematical terms, is a constrained extremum problem for an entropy function H ( p ) expressing the uncertainty ...
Marco Favretti
doaj +6 more sources
Combining experiments and simulations using the maximum entropy principle. [PDF]
PLoS Computational Biology, 2014 A key component of computational biology is to compare the results of computer modelling with experimental measurements. Despite substantial progress in the models and algorithms used in many areas of computational biology, such comparisons sometimes ...
Wouter Boomsma +2 more
doaj +4 more sources
On the Entropy and the Maximum Entropy Principle of Uncertain Variables [PDF]
Entropy, 2023 A new variance formula is developed using the generalized inverse of an increasing function. Based on the variance formula, a new entropy formula for any uncertain variable is provided.
Yujun Liu, Guanzhong Ma
doaj +2 more sources
A Quantile General Index Derived from the Maximum Entropy Principle [PDF]
Entropy, 2022 We propose a linear separation method of multivariate quantitative data in such a way that the average of each variable in the positive group is larger than that of the negative group. Here, the coefficients of the separating hyperplane are restricted to
Tomonari Sei
doaj +2 more sources
On High-Dimensional Time-Variant Reliability Analysis with the Maximum Entropy Principle [PDF]
International Journal of Aerospace Engineering, 2022 The structural reliability analysis suffers from the curse of dimensionality if the associated limit state function involves a large number of inputs.
Fuliang Zhou, Yu Hou, Hong Nie
doaj +2 more sources
Utility Function from Maximum Entropy Principle [PDF]
Entropy, 2006 Recently we used the maximum entropy principle for finding the price density in a multi agent insurance market. The result is similar to what the Buhlmann had obtained by maximizing the utility function.
Amir H. Darooneh
doaj +4 more sources
Calibration Invariance of the MaxEnt Distribution in the Maximum Entropy Principle [PDF]
Entropy, 2021 The maximum entropy principle consists of two steps: The first step is to find the distribution which maximizes entropy under given constraints. The second step is to calculate the corresponding thermodynamic quantities.
Jan Korbel
doaj +2 more sources
Venus atmosphere profile from a maximum entropy principle [PDF]
Nonlinear Processes in Geophysics, 2007 The variational method with constraints recently developed by Verkley and Gerkema to describe maximum-entropy atmospheric profiles is generalized to ideal gases but with temperature-dependent specific heats.
L. N. Epele +4 more
doaj +7 more sources
Beyond Moments: Extending the Maximum Entropy Principle to Feature Distribution Constraints [PDF]
Entropy, 2018 The maximum entropy principle introduced by Jaynes proposes that a data distribution should maximize the entropy subject to constraints imposed by the available knowledge.
Paul M. Baggenstoss
doaj +2 more sources