Comparison of maximum entropy and quadrature-based moment closures for shock transitions prediction in one-dimensional gaskinetic theory

2016 ◽  
Author(s):  
Jérémie Laplante ◽  
Clinton P. T. Groth
Keyword(s):  
Maximum Entropy ◽  
One Dimensional ◽  
Moment Closures

scholarly journals Analysis of temporal correlation in heart rate variability through maximum entropy principle in a minimal pairwise glassy model

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Elena Agliari ◽  
Francesco Alemanno ◽  
Adriano Barra ◽  
Orazio Antonio Barra ◽  
Alberto Fachechi ◽  
...  
Keyword(s):  
Heart Rate ◽  
Heart Rate Variability ◽  
Maximum Entropy ◽  
Clinical Status ◽  
Synthetic Data ◽  
Maximum Entropy Principle ◽  
Temporal Correlation ◽  
One Dimensional ◽  
Entropy Principle ◽  
The One

Abstract In this work we apply statistical mechanics tools to infer cardiac pathologies over a sample of M patients whose heart rate variability has been recorded via 24 h Holter device and that are divided in different classes according to their clinical status (providing a repository of labelled data). Considering the set of inter-beat interval sequences $$\{\mathbf {r}(i) \} = \{ r_1(i), r_2(i), \ldots , \}$$ { r ( i ) } = { r 1 ( i ) , r 2 ( i ) , … , } , with $$i=1,\ldots ,M$$ i = 1 , … , M , we estimate their probability distribution $$P(\mathbf {r})$$ P ( r ) exploiting the maximum entropy principle. By setting constraints on the first and on the second moment we obtain an effective pairwise $$(r_n,r_m)$$ ( r n , r m ) model, whose parameters are shown to depend on the clinical status of the patient. In order to check this framework, we generate synthetic data from our model and we show that their distribution is in excellent agreement with the one obtained from experimental data. Further, our model can be related to a one-dimensional spin-glass with quenched long-range couplings decaying with the spin–spin distance as a power-law. This allows us to speculate that the 1/f noise typical of heart-rate variability may stem from the interplay between the parasympathetic and orthosympathetic systems.

scholarly journals Information Entropy Approach for a Disorderless One-Dimensional Lattice

2020 ◽  
Vol 2 (1) ◽  
pp. 107-113
Author(s):  
Luis Arturo Juárez-Villegas ◽  
Moisés Martínez-Mares
Keyword(s):  
Maximum Entropy ◽  
Information Entropy ◽  
Information Criterion ◽  
System Size ◽  
Reflection Symmetry ◽  
Fixed Size ◽  
Dimensional Lattice ◽  
One Dimensional ◽  
Fixed Energy ◽  
Alternative Approach

Dimensionless conductance through a disorderless lattice is studied using an alternative approach. Usually, the conductance of an ordered lattice is studied at a fixed size, either finite or infinite if the crystalline limit is reached. Here, we propose one to consider the set of systems of all sizes from zero to infinite. As a consequence, we find that the conductance presents fluctuations, with respect to system size, at a fixed energy. At the band edge, these fluctuations are described by a statistical distribution satisfied by an ensemble of chaotic cavities with reflection symmetry, which also satisfies a maximum-entropy, or minimum-information, criterion.

scholarly journals Motion Reliability Modeling and Evaluation for Manipulator Path Planning Task

2015 ◽  
Vol 2015 ◽  
pp. 1-13 ◽  
Author(s):  
Tong Li ◽  
Qingxuan Jia ◽  
Gang Chen ◽  
Hanxu Sun
Keyword(s):  
Path Planning ◽  
Maximum Entropy ◽  
Model Calculation ◽  
Reliability Evaluation ◽  
Modeling Method ◽  
One Dimensional ◽  
Position Accuracy ◽  
Planning Task ◽  
Multidimensional Integral ◽  
Dimensional Integral

Motion reliability as a criterion can reflect the accuracy of manipulator in completing operations. Since path planning task takes a significant role in operations of manipulator, the motion reliability evaluation of path planning task is discussed in the paper. First, a modeling method for motion reliability is proposed by taking factors related to position accuracy of manipulator into account. In the model, multidimensional integral for PDF is carried out to calculate motion reliability. Considering the complex of multidimensional integral, the approach of equivalent extreme value is introduced, with which multidimensional integral is converted into one dimensional integral for convenient calculation. Then a method based on the maximum entropy principle is proposed for model calculation. With the method, the PDF can be obtained efficiently at the state of maximum entropy. As a result, the evaluation of motion reliability can be achieved by one dimensional integral for PDF. Simulations on a particular path planning task are carried out, with which the feasibility and effectiveness of the proposed methods are verified. In addition, the modeling method which takes the factors related to position accuracy into account can represent the contributions of these factors to motion reliability. And the model calculation method can achieve motion reliability evaluation with high precision and efficiency.

scholarly journals Single-parameter scaling and maximum entropy inside disordered one-dimensional systems: Theory and experiment

2017 ◽  
Vol 96 (18) ◽  
Author(s):  
Xiaojun Cheng ◽  
Xujun Ma ◽  
Miztli Yépez ◽  
Azriel Z. Genack ◽  
Pier A. Mello
Keyword(s):  
Systems Theory ◽  
Maximum Entropy ◽  
Single Parameter ◽  
One Dimensional ◽  
Theory And Experiment
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