scholarly journals How to Reconcile Maximum Entropy Approach with Intuition: E.g., Should Interval Uncertainty Be Represented by a Uniform Distribution

2020 ◽  
pp. 145-156
Author(s):  
Vladik Kreinovich ◽  
Olga Kosheleva ◽  
Songsak Sriboonchitta
Keyword(s):  
Uniform Distribution ◽  
Maximum Entropy ◽  
Interval Uncertainty

scholarly journals Flatness of minima in random inflationary landscapes

2019 ◽  
Vol 34 (17) ◽  
pp. 1950084
Author(s):  
Yang-Hui He ◽  
Vishnu Jejjala ◽  
Luca Pontiggia ◽  
Yan Xiao ◽  
Da Zhou
Keyword(s):  
Uniform Distribution ◽  
Maximum Entropy ◽  
Random Potential ◽  
Scalar Fields ◽  
Energy Scale ◽  
Random Polynomial ◽  
Slow Roll ◽  
Maximum Entropy Distribution ◽  
Single Field ◽  
Polynomial Potentials

We study the likelihood for relative minima of random polynomial potentials to support the slow-roll conditions for inflation. Consistent with renormalizability and boundedness, the coefficients that appear in the potential are chosen to be order one with respect to the energy scale at which inflation transpires. Investigation of the single field case illustrates a window in which the potentials satisfy the slow-roll conditions. When there are two scalar fields, we find that the probability depends mildly on the choice of distribution for the coefficients. A uniform distribution yields a 0.05% probability of finding a suitable minimum in the random potential, whereas a maximum entropy distribution yields a 0.1% probability.

scholarly journals Selecting an Effective Entropy Estimator for Short Sequences of Bits and Bytes with Maximum Entropy

Entropy ◽  
2021 ◽  
Vol 23 (5) ◽  
pp. 561
Author(s):  
Lianet Contreras Rodríguez ◽  
Evaristo José Madarro-Capó  ◽  
Carlos Miguel Legón-Pérez  ◽  
Omar Rojas ◽  
Guillermo Sosa-Gómez
Keyword(s):  
Uniform Distribution ◽  
Maximum Entropy ◽  
Mean Square Error ◽  
Information Source ◽  
Discrete Source ◽  
Mean Square ◽  
Entropy Estimator ◽  
The Mean ◽  
Security Standards ◽  
Source Of Information

Entropy makes it possible to measure the uncertainty about an information source from the distribution of its output symbols. It is known that the maximum Shannon’s entropy of a discrete source of information is reached when its symbols follow a Uniform distribution. In cryptography, these sources have great applications since they allow for the highest security standards to be reached. In this work, the most effective estimator is selected to estimate entropy in short samples of bytes and bits with maximum entropy. For this, 18 estimators were compared. Results concerning the comparisons published in the literature between these estimators are discussed. The most suitable estimator is determined experimentally, based on its bias, the mean square error short samples of bytes and bits.

Stochasting modeling of planetary ring systems

1984 ◽  
Vol 75 ◽  
pp. 461-469 ◽  
Author(s):  
Robert W. Hart
Keyword(s):  
Maximum Entropy ◽  
Ring System ◽  
The Sun ◽  
Ultimate State ◽  
Interparticle Interactions ◽  
Ring Systems ◽  
First Order ◽  
Planetary Ring ◽  
Insight Into

ABSTRACTThis paper models maximum entropy configurations of idealized gravitational ring systems. Such configurations are of interest because systems generally evolve toward an ultimate state of maximum randomness. For simplicity, attention is confined to ultimate states for which interparticle interactions are no longer of first order importance. The planets, in their orbits about the sun, are one example of such a ring system. The extent to which the present approximation yields insight into ring systems such as Saturn's is explored briefly.

Predicting Job Performance in Small Samples using the Generalized Maximum Entropy Formulation

2012 ◽  
Author(s):  
Pedro J. Ramos-Villagrasa ◽  
Blanca Moreno ◽  
Antonio L. Garcie-Izquierdo
Keyword(s):  
Job Performance ◽  
Maximum Entropy ◽  
Small Samples ◽  
Generalized Maximum Entropy ◽  
Entropy Formulation

Maximum entropy algorithm applied to image enhancement

1980 ◽  
Vol 127 (5) ◽  
pp. 170 ◽  
Author(s):  
G.J. Daniell ◽  
S.F. Gull
Keyword(s):  
Maximum Entropy ◽  
Image Enhancement

BRAGG-PEAK LOCATION EMPLOYING A MAXIMUM-ENTROPY FORMALISM

1986 ◽  
Vol 47 (C5) ◽  
pp. C5-55-C5-62
Author(s):  
M. S. LEHMANN ◽  
T. E. ROBINSON ◽  
S. W. WILKINS
Keyword(s):  
Maximum Entropy ◽  
Bragg Peak ◽  
Peak Location ◽  
Maximum Entropy Formalism

Levels taxation countries the EU and Ukraine’s

2019 ◽  
pp. 131-160
Author(s):  
Helena Borzenko ◽  
Tamara Panfilova ◽  
Mikhail Litvin
Keyword(s):  
European Union ◽  
Uniform Distribution ◽  
Tax Burden ◽  
Tax System ◽  
Tax Legislation ◽  
Improvement Process ◽  
Tax Systems ◽  
Historical Comparative ◽  
Different Levels ◽  
The Eu

Purpose articles rassm and experience and benefits systems taxation countries European Union, manifestation iti the main limitations domestic taxlegislation and wired STI their comparisons. In general iti ways the provisiontax reporting countries Eurozone in the appropriate organs, dove STI need theintroduction Ukraine electronic methods receiving and processing such reports.define iti key directions reforming domestic tax legislation. Methodology research is to use aggregate methods: dialectical, statistical, historical, comparative. Scientific novelty is to are provided recommendations for improvement ofefficiency systems taxation of our states in international ratings characterizingtax institutions country. Therefore, despite some problems in legislation heldcomparative study systems taxation EU and Ukraine. Conclucions Coming fromof this, the main directions reforming tax systems Ukraine, in our opinion,today should become: improvement process administration, reduce scales evasiontaxes, provision more uniform distribution tax burden between taxpayers, themaximum cooperation tax bodies different levels as well adjustment systemselectronic interactions tax authorities and payers, tax system must contain ascan less unfounded benefits, consistent with the general by politics pricing.

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