scholarly journals Theoretical investigations of an information geometric approach to complexity

2017 ◽  
Vol 29 (09) ◽  
pp. 1730002 ◽  
Author(s):  
Sean Alan Ali ◽  
Carlo Cafaro
Keyword(s):  
Experimental Data ◽  
Inductive Inference ◽  
Geometric Approach ◽  
Special Focus ◽  
Limited Information ◽  
Dynamical Equations ◽  
Physical Systems ◽  
Statistical Model Selection ◽  
Probabilistic Description ◽  
Inference Methods

It is known that statistical model selection as well as identification of dynamical equations from available data are both very challenging tasks. Physical systems behave according to their underlying dynamical equations which, in turn, can be identified from experimental data. Explaining data requires selecting mathematical models that best capture the data regularities. The existence of fundamental links among physical systems, dynamical equations, experimental data and statistical modeling motivate us to present in this paper our theoretical modeling scheme which combines information geometry and inductive inference methods to provide a probabilistic description of complex systems in the presence of limited information. Special focus is devoted to describe the role of our entropic information geometric complexity measure. In particular, we provide several illustrative examples wherein our modeling scheme is used to infer macroscopic predictions when only partial knowledge of the microscopic nature of a given system is available. Finally, limitations, possible improvements, and future investigations are discussed.

scholarly journals An Information Geometric Perspective on the Complexity of Macroscopic Predictions Arising from Incomplete Information

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
Sean Alan Ali ◽  
Carlo Cafaro ◽  
Steven Gassner ◽  
Adom Giffin
Keyword(s):  
Inductive Inference ◽  
Probability Distributions ◽  
Geometric Approach ◽  
Jacobi Field ◽  
Limited Information ◽  
Dynamical Equations ◽  
Physical Systems ◽  
Statistical Manifolds ◽  
Geodesic Paths ◽  
Inference Techniques

Motivated by the presence of deep connections among dynamical equations, experimental data, physical systems, and statistical modeling, we report on a series of findings uncovered by the authors and collaborators during the last decade within the framework of the so-called Information Geometric Approach to Chaos (IGAC). The IGAC is a theoretical modeling scheme that combines methods of information geometry with inductive inference techniques to furnish probabilistic descriptions of complex systems in presence of limited information. In addition to relying on curvature and Jacobi field computations, a suitable indicator of complexity within the IGAC framework is given by the so-called information geometric entropy (IGE). The IGE is an information geometric measure of complexity of geodesic paths on curved statistical manifolds underlying the entropic dynamics of systems specified in terms of probability distributions. In this manuscript, we discuss several illustrative examples wherein our modeling scheme is employed to infer macroscopic predictions when only partial knowledge of the microscopic nature of a given system is available. Finally, we include comments on the strengths and weaknesses of the current version of our proposed theoretical scheme in our concluding remarks.

Integrating experimental data and mathematical models in simulation of physical systems

AIAA Journal ◽  
1997 ◽  
Vol 35 ◽  
pp. 1787-1790
Author(s):  
Boris A. Zeldin ◽  
Andrew J. Meade
Keyword(s):  
Experimental Data ◽  
Mathematical Models ◽  
Physical Systems

The SWORFISH Project Approach for Modeling Wood Material Modifications in Timber Structures

2013 ◽  
Vol 778 ◽  
pp. 418-423
Author(s):  
Jakub Sandak ◽  
Anna Sandak ◽  
Mariapaola Riggio ◽  
Ilaria Santoni ◽  
Dusan Pauliny
Keyword(s):  
Experimental Data ◽  
Expert Knowledge ◽  
Surface Finishing ◽  
Special Focus ◽  
Original Material ◽  
Timber Structures ◽  
Wood Material ◽  
Project Approach ◽  
Special Software ◽  
Definition Of

A special software simulating changes to wood due to various processes (either treatment or degradation) has been developed within the SWORFISH (Superb Wood Surface Finishing) project. The definition of the material modifications due to processes is based on the expert knowledge and/or experimental data. The dedicated algorithm simulates material modifications (with a special focus on surface) taking into account original material characteristics (evaluated by means of NDT techniques) and setting of process parameters. In this way, it is possible to analyze the sequence of processes (i.e. material modifications) and to estimate properties of the resulting product. Two case studies are presented for illustration of the potential uses of the SWORFISH approach in the field of timber structures.

scholarly journals Comparative analysis of methods to determine deflection in steel beams: theoretical analysis, finite element and experimental

2020 ◽  
pp. 32-37
Author(s):  
Gabriela Alor-Saavedra ◽  
Francisco Alejandro Alaffita-Hernández ◽  
Beatris Adriana Escobedo-Trujillo ◽  
Oscar Fernando Silva-Aguilar
Keyword(s):  
Differential Equation ◽  
Experimental Data ◽  
Finite Element ◽  
Comparative Analysis ◽  
Theoretical Analysis ◽  
Comparative Study ◽  
Steel Beams ◽  
Physical Systems ◽  
Theoretical Part ◽  
Made In

This work makes a comparative study of two methods to determine deflection in steel beams: (a) Theoretical and (b) Finite element. For method (a) the solution of the differential equation associated with the modeling of the deflection of a beam is found, while for method (b) a simulation is made in Solidworks. Both methods are compared with experimental data in order to analyze which of the methods presents less uncertainty and show the usefulness of the theoretical part in the modeling of physical systems.

scholarly journals Extracting Dynamical Equations from Experimental Data is NP Hard

2012 ◽  
Vol 108 (12) ◽  
Author(s):  
Toby S. Cubitt ◽  
Jens Eisert ◽  
Michael M. Wolf
Keyword(s):  
Experimental Data ◽  
Np Hard ◽  
Dynamical Equations

scholarly journals Bilateral Trade By Products Between the V4 Countries and China in Years 2009–2019

2021 ◽  
Vol 66 (4) ◽  
pp. 463-482
Author(s):  
Sylwia Pangsy-Kania
Keyword(s):  
International Trade ◽  
Czech Republic ◽  
Bilateral Trade ◽  
Inductive Inference ◽  
Slovak Republic ◽  
Annual Data ◽  
Starting Point ◽  
Inference Methods ◽  
Visegrad Group ◽  
By Products

Abstract Subject and purpose: Using annual data for the periods 2009–2019, this paper examines trade flows between China and the Visegrad Group countries. The aim of this article is to assess real changes taking place in international trade in the Visegrad Group countries (V4) over the last eleven years. The starting point for the analysis was 2009 – the time after the 2008 economic crisis, and it was compared especially to 2018 – a year marked by a significant improvement in the economy. The purpose is to discuss concerns related to the differences in bilateral trade between China and Poland, Czech Republic, Hungary, and Slovak Republic. The main aim of this research is to distinguish the characteristics of bilateral trade by products between V4 and China in years 2009–2019. The purpose of this article is also to systematize and discuss points of view, rationalizing further empirical research. Two research hypotheses, resulting from the research purpose, were formulated: H1: in the V4 countries import exceeds export, and this trend seems to be growing, H2: Chinese goods imported to the V4 are much more sophisticated than those exported. Design/Methodology/Approach: To assess the initial and current situation on international trade between the V4 and China, the author uses variables obtained from WTO and OEC resources, diagnosing the situation in Poland, Czech Republic, Hungary, and Slovak Republic. The collected empirical data were processed using theoretical methods such as analysis, synthesis, and comparison to formulate conclusions using deductive and inductive inference methods. Practical Implications: The results can be used in scientific and expert work on diagnostic and forecast trends in bilateral trade by products between the V4 and China. Originality/Value: It concerns the indication of the importance of the V4 trade with China compared to the share of the V4 countries in world trade. It was also possible to identify the top export and import products of the V4. The findings also confirm the significant change in China’s trading structure.

scholarly journals The Mitochondrial Genomes of Neuropteridan Insects and Implications for the Phylogeny of Neuroptera

Genes ◽  
2019 ◽  
Vol 10 (2) ◽  
pp. 108 ◽  
Author(s):  
Nan Song ◽  
Xin-xin Li ◽  
Qing Zhai ◽  
Hakan Bozdoğan ◽  
Xin-ming Yin
Keyword(s):  
Sequence Data ◽  
Phylogenetic Analyses ◽  
Genomic Data ◽  
Considerable Progress ◽  
Mitochondrial Genomes ◽  
Special Focus ◽  
Molecular Sequence Data ◽  
Molecular Sequence ◽  
Taxonomic Sampling ◽  
Inference Methods

The higher-level phylogeny of Neuroptera is explored here based on the newly determined mitochondrial genomic data, with a special focus on the interfamilial relationships of this group. Despite considerable progress in our understanding of neuropteran relationships, several mutually exclusive hypotheses have come out according to morphology-based analyses and molecular sequence data. The evaluation of these hypotheses is hampered by the limited taxonomic coverage of previous studies. In this paper, we sequenced four mitochondrial genomes to improve the taxonomic sampling for families: Myrmeleontidae, Ascalaphidae and outgroup Corydalidae. Phylogenetic analyses were run using various inference methods to (1) confirm that Coniopterygidae is sister to all other Neuroptera; (2) place Hemerobiidae as sister to Chrysopidae; (3) support the monophyly of Myrmeleontiformia and define its interfamilial relationships; and (4) recover Myrmeleontidae as paraphyletic due to the nested Ascalaphidae.

scholarly journals Hydrogen-enhanced fatigue crack growth in steels and its frequency dependence

2017 ◽  
Vol 375 (2098) ◽  
pp. 20160412 ◽  
Author(s):  
Hisao Matsunaga ◽  
Osamu Takakuwa ◽  
Junichiro Yamabe ◽  
Saburo Matsuoka
Keyword(s):  
Experimental Data ◽  
Fatigue Crack ◽  
Fatigue Life ◽  
Fuel Cell ◽  
Fatigue Crack Growth ◽  
Frequency Dependence ◽  
Crack Growth ◽  
Special Focus ◽  
Fuel Cell Vehicles ◽  
Life Design

In the context of the fatigue life design of components, particularly those destined for use in hydrogen refuelling stations and fuel cell vehicles, it is important to understand the hydrogen-induced, fatigue crack growth (FCG) acceleration in steels. As such, the mechanisms for acceleration and its influencing factors are reviewed and discussed in this paper, with a special focus on the peculiar frequency dependence of the hydrogen-induced FCG acceleration. Further, this frequency dependence is debated by introducing some potentially responsible elements, along with new experimental data obtained by the authors. This article is part of the themed issue ‘The challenges of hydrogen and metals’.

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