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Towards an Entropy-Based Analysis of Log Variability [chapter]

Christoffer Olling Back, Søren Debois, Tijs Slaats
2018 Lecture Notes in Business Information Processing  
of the log and can act as an indicator of which mining paradigm should be used.  ...  This has led to the recent introduction of hybrid miners, which aim to combine flow-and constraint-based models to provide the best possible representation of a log.  ...  All these approaches avoid an important research question, first identified in [5] : can we, based on an a priori analysis of the input log, measure if it is best suited to imperative or declarative mining  ... 
doi:10.1007/978-3-319-74030-0_4 fatcat:qwvrst6m6ng6vnaaxlyurf5bfe

Progressive decrease of heart period variability entropy-based complexity during graded head-up tilt

Alberto Porta, Tomaso Gnecchi-Ruscone, Eleonora Tobaldini, Stefano Guzzetti, Raffaello Furlan, Nicola Montano
2007 Journal of applied physiology  
We compare several well established estimates of complexity of heart period variability based on entropy rates [i.e., approximate entropy (ApEn), sample entropy (SampEn), and correct conditional entropy  ...  (CCE)] during an experimental protocol known to produce a gradual shift of the sympathovagal balance toward sympathetic activation and vagal withdrawal (i.e., the graded head-up tilt test).  ...  The data belong to a database recently built to test the ability of linear analysis based on power spectrum and nonlinear analysis based on symbolic dynamics to track over short heart period variability  ... 
doi:10.1152/japplphysiol.00293.2007 pmid:17569773 fatcat:3on6okjdrnbbtnvprer6wci42m

Page 91 of American Society of Civil Engineers. Collected Journals Vol. 5, Issue 1 [page]

2000 American Society of Civil Engineers. Collected Journals  
Then, the definition of entropy is extended to the continuous case in the form of H(X; Ax) = f(x)log f(x) dx — log(Ax) The total entropy of two independent random variables X and Y is equal to the sum  ...  used in assessment of spatial and temporal frequencies; In the second part, an entropy-based methodology is de- veloped for the evaluation of combined spatial/temporal design features so that it advances  ... 

Meta-data: Characterization of Input Features for Meta-learning [chapter]

Ciro Castiello, Giovanna Castellano, Anna Maria Fanelli
2005 Lecture Notes in Computer Science  
This paper focuses on the characterization of meta-data, through an analysis of meta-features that can capture the properties of specific tasks to be solved at base level.  ...  This kind of approach represents a first step toward the development of a meta-learning system, capable of suggesting the proper bias for base-learning different specific task domains.  ...  Therefore the normalized entropy can be computed as: H(C) norm = H(C) log 2 (n) = − n i=1 π i log 2 (π i ) log 2 (n) . (10) Normalized attribute entropy: the attribute entropy value H(X) of a random variable  ... 
doi:10.1007/11526018_45 fatcat:bgffslytk5hvdhxa66jayxyyza

Improvement of the k-nn Entropy Estimator with Applications in Systems Biology

Agata Charzyńska, Anna Gambin
2015 Entropy  
In this paper, we investigate efficient estimation of differential entropy for multivariate random variables.  ...  To illustrate such an application, we exploit differential entropy to define the robustness of biochemical kinetic models.  ...  UMO-2014/12/W/ST5/00592, as well as by the Biocentrum-Ochota project POIG02.03.00-00-003/09 and by the European Union from resources of the European Social Fund, Project POKL.04.01.01-00-051/10-00, "Information  ... 
doi:10.3390/e18010013 fatcat:mrx4xuguonghrm52zwkmhl3fkm

The Approach Towards Equilibrium in a Reversible Ising Dynamics Model: An Information-Theoretic Analysis Based on an Exact Solution

Kristian Lindgren, Eckehard Olbrich
2017 Journal of statistical physics  
With this approach we can show that an estimate of the entropy density based on finite length statistics within microstates converges to the equilibrium entropy density.  ...  We study the approach towards equilibrium in a dynamic Ising model, the Q2R cellular automaton, with microscopic reversibility and conserved energy for an infinite one-dimensional system.  ...  The analysis of the conditional entropies h m (t), the correlation information k m (t), and the excess entropy η(t) as it is depicted in Figs. 1 and 2 provides a clear picture of how the approach towards  ... 
doi:10.1007/s10955-017-1833-8 fatcat:dzrb6hya5vbnhalbpaf5utwpbi

Entropy Estimation via Normalizing Flow

Ziqiao Ao, Jinglai Li
2022 PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE  
Second we design a normalizing flow based mapping that pushes samples toward a uniform distribution, and the relation between the entropy of the original samples and the transformed ones is also derived  ...  Entropy estimation is an important problem in information theory and statistical science.  ...  In this work we focus on the continuous version of entropy that takes the form, H(X) = − log[p x (x)]p x (x)dx, (1) where p x (x) is probability density function of a random variable X.  ... 
doi:10.1609/aaai.v36i9.21237 fatcat:lgdtyadhazgxnl5vqpye7dptui

Automation of Quantitative Information-Flow Analysis [chapter]

Boris Köpf, Andrey Rybalchenko
2013 Lecture Notes in Computer Science  
Automation of QIF is an important step towards ensuring its practical applicability, since manual reasoning about program security has been shown to be a tedious and expensive task.  ...  Quantitative information-flow analysis (QIF) is an emerging technique for establishing information-theoretic confidentiality properties.  ...  Mu and Clark [52] propose an automatic quantitative analysis based on probabilistic semantics.  ... 
doi:10.1007/978-3-642-38874-3_1 fatcat:kv2urnjq2jd4bkvfpjv4kbl7cy

Integrating Topological and Hydraulic Attributes for Robustness Analysis of Water Distribution Networks

Seyed Zarghami, Indra Gunawan, Frank Schultmann
2019 International Journal of Industrial Engineering and Operations Management  
The paper attempts to shift away from an exclusive topological viewpoint or a pure hydraulic approach, towards a combined topological and hydraulic analysis.  ...  The main emphasis is on the influence of an individual node on the overall network performance. The use of the proposed index is illustrated with a real-world WDN of an Australian town.  ...  a pure hydraulic approach, towards a combined topological and hydraulic analysis.  ... 
doi:10.46254/j.ieom.20190101 fatcat:3b6mxftewnbj5mge6oeuyu2vfy

Information Guided Exploration of Scalar Values and Isocontours in Ensemble Datasets

Subhashis Hazarika, Ayan Biswas, Soumya Dutta, Han-Wei Shen
2018 Entropy  
To understand in finer details the contribution of individual members towards the uncertainty of the ensemble isocontours of a selected scalar value, we propose a conditional entropy based algorithm to  ...  Uncertainty of scalar values in an ensemble dataset is often represented by the collection of their corresponding isocontours.  ...  Conflicts of Interest: The authors declare no conflict of interest.  ... 
doi:10.3390/e20070540 pmid:33265629 fatcat:j5mn25yymjcvffo7ewjlpdgpam

The Integration of Spatial Interaction Models Using Generalized Linear Modeling
一般線形モデルによる空間的相互作用モデルの統合

Keiji YANO
1991 Geographical Review of Japan  
These variables are a distance deterrence function based on simple distance between areas in a doubly constrained model, and the first order interaction in log-linear model, which is named for the 'true  ...  The results of fitting a doubly constrained model and a saturated log-linear model are compared with respect to variables concerned with the interaction of origin and destination(see Table 10 ).  ... 
doi:10.4157/grj1984a.64.6_367 fatcat:3j5jtfxyb5hj3iyxepv3hev674

Approximation and Randomization for Quantitative Information-Flow Analysis

Boris Köpf, Andrey Rybalchenko
2010 2010 23rd IEEE Computer Security Foundations Symposium  
Automation of QIF is an important step towards ensuring its practical applicability, since manual reasoning about program security has been shown to be a tedious and expensive task.  ...  Quantitative information-flow analysis (QIF) is an emerging technique for establishing information-theoretic confidentiality properties.  ...  [8] require an oracle revealing the probability of each sample of the random variable, in the first step towards the QIF setting we identify a correspondence between the sampling oracle and the preimage  ... 
doi:10.1109/csf.2010.8 dblp:conf/csfw/KopfR10 fatcat:v5qfip74n5coxdkz4322xkqnzi

Is atmospheric convection organised?: information entropy analysis

Yuanlong Li, Jun-Ichi Yano, Yanluan Lin
2018 Geophysical and Astrophysical Fluid Dynamics  
In order to quantify the degree of organisation of atmospheric convection, an analysis based on the information entropy, which is widely considered a measure of organisation in information science, is  ...  However, neither is considered an "ordered" state under a measure of the information entropy. ARTICLE HISTORY  ...  Y. acknowledges Samson Hagos for originally suggesting to take the information entropy as a measure of the organisation of atmospheric convection.  ... 
doi:10.1080/03091929.2018.1506449 fatcat:3iwrob7l3nb7zp5mwmb5rha3pi

Physical Fatigue Detection Using Entropy Analysis of Heart Rate Signals

Farnad Nasirzadeh, Mostafa Mir, Sadiq Hussain, Mohammad Tayarani Darbandy, Abbas Khosravi, Saeid Nahavandi, Brad Aisbett
2020 Sustainability  
The proposed method provides an efficient tool for accurate and real-time monitoring of physical fatigue and aids to enhance workers' safety and prevent accidents.  ...  First, desired features are extracted from the heart signals using different entropies and statistical measures.  ...  With this convention, the log energy entropy can be defined: log(0) = 0: E2(s i ) = log(s i 2 ). (6) Hence, E2(s) = i log(s 2 i ) (7) • Kraskov Entropy: The differential statistical entropy of random variable  ... 
doi:10.3390/su12072714 fatcat:mewtfqc3trbtjkhpdgwn477h2q

Rhythmic changes in spike coding in the rat suprachiasmatic nucleus

G. S. Bhumbra, A. N. Inyushkin, K. Saeb-Parsy, A. Hon, R. E. J. Dyball
2005 Journal of Physiology  
One hundred and sixty-six cell recordings from the suprachiasmatic nucleus showed a significant rhythm in entropy with an oscillatory trend in the data (P < 0.001) showing a trough towards the end of the  ...  The study shows that while there is a rhythm of mean spike frequency, parameters based on the variability of interspike interval distributions also display rhythmic changes over the day-night cycle.  ...  Edgley from the University of Cambridge for his assistance in the preparation of this manuscript.  ... 
doi:10.1113/jphysiol.2004.079848 pmid:15611016 fatcat:d45qg6godza7jfdmgveyz5n77e
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