ArticleEntropy (Basel, Switzerland)2021
Calibration Invariance of the MaxEnt Distribution in the Maximum Entropy Principle.
Article in Entropy (Basel, Switzerland), 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Predicting Potential Distribution of the Acanthopanax Sessiliflorus in China Under Future Climate Scenarios Based the Optimized Maximum Entropy (MaxEnt) Model.Ecology and evolution · 2026Article
- Predictive Modeling of the Distribution of the Red Palm Weevil Rhynchophorus ferrugineus Olivier (Coleoptera: Curculionidae) in Brazil: Identifying Vulnerable Areas and Potential Impacts.Neotropical entomology · 2025Article
- Effect of climate change onFrontiers in plant science · 2024Article
- Article
- The Statistical Foundations of Entropy.Entropy (Basel, Switzerland) · 2021Article
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Abstract
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. The second part is determined by Lagrange multipliers' relation to the measurable physical quantities as temperature or Helmholtz free energy/free entropy. We show that for a given MaxEnt distribution, the whole class of entropies and constraints leads to the same distribution but generally different thermodynamics. Two simple classes of transformations that preserve the MaxEnt distributions are studied: The first case is a transform of the entropy to an arbitrary increasing function of that entropy. The second case is the transform of the energetic constraint to a combination of the normalization and energetic constraints. We derive group transformations of the Lagrange multipliers corresponding to these transformations and determine their connections to thermodynamic quantities. For each case, we provide a simple example of this transformation.
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