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On a method of applied symbolic dynamics for investigation of dynamical systems

Igor Soloviev, Natalia Ampilova
<span title="2019-06-25">2019</span> <i title="JVE International Ltd."> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/piydmkckj5hd3il4e6gck6zoea" style="color: black;">Vibroengineering PROCEDIA</a> </i> &nbsp;
a given system by using stationary flows on the graph and calculate corresponding metric entropies.  ...  There exists a correspondence between trajectories of a given system and paths on the graph, which allows us to design algorithms for estimation of topological entropy, approximate invariant measures of  ...  Acknowledgements Authors wish to express their thanks to E. Petrenko for images.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21595/vp.2019.20698">doi:10.21595/vp.2019.20698</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/dfv6civpyrh5jkmysvb2btcmj4">fatcat:dfv6civpyrh5jkmysvb2btcmj4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200306225152/https://www.jvejournals.com/article/20698/pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/9c/62/9c62e00237e87e2791c47842f6b2cb7c122d2275.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21595/vp.2019.20698"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Entropies in investigation of dynamical systems

Igor Soloviev, Natalia Ampilova
<span title="2017-06-30">2017</span> <i title="JVE International Ltd."> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/piydmkckj5hd3il4e6gck6zoea" style="color: black;">Vibroengineering PROCEDIA</a> </i> &nbsp;
Interrelation of various approaches to the definition of the concept of entropy determines its wide using in applications.  ...  We consider entropy characteristics used in various research techniques for investigation of complex dynamical systems (including symbolic ones) behaviour.  ...  Metric entropy of the distribution gives a lower bound for the topological entropy of symbolic image which is calculated as topological entropy of topological Markov chain.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21595/vp.2017.18675">doi:10.21595/vp.2017.18675</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jw5z2ie3grb2hevzbdmetogmea">fatcat:jw5z2ie3grb2hevzbdmetogmea</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180722174313/https://www.jvejournals.com/article/18675/pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/02/9e/029e2d9c30b81075fdb35fe0af3bbbd5dd4c4d1b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.21595/vp.2017.18675"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Entropy Methods For Univariate Distributions in Decision Analysis

Ali E. Abbas
<span title="">2003</span> <i title="AIP"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/3jzz7zp4afbbpdcvegp6zk7rp4" style="color: black;">AIP Conference Proceedings</a> </i> &nbsp;
In this paper we present a graphical method to determine the maximum entropy distribution between upper and lower probability bounds and provide an interpretation for the shape of the maximum entropy distribution  ...  We present a heuristic approximation to a distribution if in addition to its fractiles, we also know it is continuous and work through full examples to illustrate the approach.  ...  We will refer to this distribution as the Mid Point Maximum Entropy Distribution, MMED, and compare it to other approaches.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1570551">doi:10.1063/1.1570551</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vcg2nmkmbrdfdnpotnisg3mwqm">fatcat:vcg2nmkmbrdfdnpotnisg3mwqm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20150827033052/http://create.usc.edu/sites/default/files/publications//entropymethodsforunivariatedistributionsindecisionanalysis.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f8/3d/f83dbdb08eb56ccfbe9e82aa4cf8959136a07c50.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1063/1.1570551"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Lower bounds on the nonzero capacity of Pauli channels

Jesse Fern, K. Birgitta Whaley
<span title="2008-12-19">2008</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/iedolmzeofgc3ezyedga7h4eba" style="color: black;">Physical Review A. Atomic, Molecular, and Optical Physics</a> </i> &nbsp;
., the upper bound for correctable noise, using an entropic approach to calculation of the threshold values. Our results show that Pauli noise is correctable up to the hashing bound.  ...  For a depolarizing channel, this approach allows one to achieve a non-zero capacity for a fidelity (probability of no error) of f=0.80870.  ...  Ouyang for a useful dis-cussion.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.78.062335">doi:10.1103/physreva.78.062335</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/xrahgpy2rfbi3grueqiq22iqay">fatcat:xrahgpy2rfbi3grueqiq22iqay</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191022071627/https://arxiv.org/pdf/0708.1597v2.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/af/b0/afb0345f440ac7249c3cbe4ca8424b3e525b415b.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.78.062335"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Determining lower bounds on a measure of multipartite entanglement from few local observables

Jun-Yi Wu, Hermann Kampermann, Dagmar Bruß, Claude Klöckl, Marcus Huber
<span title="2012-08-17">2012</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/iedolmzeofgc3ezyedga7h4eba" style="color: black;">Physical Review A. Atomic, Molecular, and Optical Physics</a> </i> &nbsp;
We introduce a method to lower bound an entropy-based measure of genuine multipartite entanglement via nonlinear entanglement witnesses.  ...  In exemplary cases we show that only a few local measurements are necessary to determine these lower bounds.  ...  To that end we follow and generalize the approach from Ref. [14] . II. A MEASURE OF MULTIPARTITE ENTAN-GLEMENT AND ITS LOWER BOUNDS A.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.86.022319">doi:10.1103/physreva.86.022319</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/iezmzzfpyndnnkvbhsmon2qxea">fatcat:iezmzzfpyndnnkvbhsmon2qxea</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20200828180022/https://arxiv.org/pdf/1205.3119v1.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/4b/9a/4b9a412d3d73f675494a90ed317d868a948a07cc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreva.86.022319"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

A Structure-free Method for Quantifying Conformational Flexibility in proteins

Virginia M. Burger, Daniel J. Arenas, Collin M. Stultz
<span title="2016-06-30">2016</span> <i title="Springer Nature"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/tnqhc2x2aneavcd3gx5h7mswhm" style="color: black;">Scientific Reports</a> </i> &nbsp;
The method calculates an effective entropy that quantifies the diversity of radii of gyration that a protein can adopt in solution and does not require the explicit generation of structural ensembles to  ...  Many existing approaches for gaining insight into structural flexibility from experimental data belong to a class of approaches that generate a set of structures to agree with a pre-specified set of experimental  ...  Acknowledgements This was supported, in part, by a Steve G. and Renee Faculty Innovation Fellowship and an Early Postdoc.Mobility Fellowship from the Swiss National Science Foundation (SNSF) to V.M.B.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/srep29040">doi:10.1038/srep29040</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/27358108">pmid:27358108</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC4928179/">pmcid:PMC4928179</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/vnchh2g7rrbfzckjyhy2qg5uxu">fatcat:vnchh2g7rrbfzckjyhy2qg5uxu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180724164553/http://dspace.mit.edu/bitstream/handle/1721.1/108809/A%20structure-free.pdf;jsessionid=7B81B76DB64D538E15E4F5A2BF532E0B?sequence=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/14/45/14450f75f2afcce50006737f706986091f479950.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1038/srep29040"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4928179" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Online POMDP Planning via Simplification [article]

Ori Sztyglic, Vadim Indelman
<span title="2021-05-11">2021</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
As a second key contribution, we derive novel analytical bounds for differential entropy, considering a sampling-based belief representation, which we believe are of interest on their own.  ...  These bounds in turn are used to perform branch pruning over the belief tree, in the process of calculating the optimal policy.  ...  ACKNOWLEDGMENTS This research was supported by the Israel Science Foundation (ISF) and by a donation from the Zuckerman Fund to the Technion Center for Machine Learning and Intelligent Systems (MLIS).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2105.05296v1">arXiv:2105.05296v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/6qcwkmuujbfjpgfsvhwsqraplq">fatcat:6qcwkmuujbfjpgfsvhwsqraplq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210514095308/https://arxiv.org/pdf/2105.05296v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/99/2b/992bb90afcd18cef6d33b50c2398c62bb0dc86d0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2105.05296v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Kolmogorov–Sinai entropy from recurrence times

M.S. Baptista, E.J. Ngamga, Paulo R.F. Pinto, Margarida Brito, J. Kurths
<span title="">2010</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/j5vumr4o65agbmeqovmzt67pqe" style="color: black;">Physics Letters A</a> </i> &nbsp;
This work proposes two formulas to estimate the KS entropy and a lower bound of it, a sort of Shannon's entropy per unit of time, from the recurrence times of chaotic systems.  ...  The other provides a lower bound for the KS entropy and is more experimentally oriented since one has to measure only the high probable short returns.  ...  Eq. (8) is a minimal bound for the KS entropy, the region chosen to calculate it is the one for which the lower bound is maximal.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physleta.2009.12.057">doi:10.1016/j.physleta.2009.12.057</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/tsdvvhaq2rdflkkspimkfrmwxu">fatcat:tsdvvhaq2rdflkkspimkfrmwxu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20120714064252/http://www.pik-potsdam.de/members/kurths/publikationen/2009/phys-lett-a-murilo.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/c5/8d/c58d19114ef25d7efb1ca1025cf27e97abbaaca1.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.physleta.2009.12.057"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

On the symmetric information rate of two-dimensional finite-state ISI channels

Jiangxin Chen, P.H. Siegel
<span title="">2006</span> <i title="Institute of Electrical and Electronics Engineers (IEEE)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/niovmjummbcwdg4qshgzykkpfu" style="color: black;">IEEE Transactions on Information Theory</a> </i> &nbsp;
We derive a pair of bounds (upper and lower) on the symmetric information rate of a two-dimensional finite-state intersymbol interference (ISI) channel model.  ...  To relax the constraint on the size of the impulse response, a new upper bound is proposed which allows the tradeoff of the computational complexity and the tightness of the bound.  ...  We then present a lower bound on the convergence rate and describe the Monte Carlo approach to computing these bounds.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2005.860467">doi:10.1109/tit.2005.860467</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ogdlyvlsczeqxlfov4dcx3set4">fatcat:ogdlyvlsczeqxlfov4dcx3set4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20100626154650/http://cmrr-star.ucsd.edu/starpapers/sir_2d.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e3/db/e3dbde66c1eba035d3f8912691faa4a735639246.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/tit.2005.860467"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

An Entropy-Based Cross-Efficiency under Variable Returns to Scale

Su, Lu
<span title="2019-12-07">2019</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
A real-case example was used to illustrate the approach proposed in this paper.  ...  Since the concept of entropy is an effective tool to measure the uncertainty, this concept was employed to build an index for ranking DMUs with cross efficiency intervals.  ...  Acknowledgments: The authors are indebted to the reviewers for providing constructive cmments that improved the quality of the paper.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e21121205">doi:10.3390/e21121205</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rncqoclrxfdtxgdtnoetrtheza">fatcat:rncqoclrxfdtxgdtnoetrtheza</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20191210025606/https://res.mdpi.com/d_attachment/entropy/entropy-21-01205/article_deploy/entropy-21-01205.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/54/b4/54b4d904c058d5c4575ece491f1bc5151d19b2d0.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e21121205"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Ranking DMUs by Comparing DEA Cross-Efficiency Intervals Using Entropy Measures

Tim Lu, Shiang-Tai Liu
<span title="2016-12-17">2016</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
We then utilize the entropy to construct a numerical index for DMUs with cross-efficiency intervals. A mathematical program is proposed to find the optimal entropy values of DMUs for comparison.  ...  Consequently, a number of cross-efficiency intervals is obtained for each DMU. The entropy, which is based on information theory, is an effective tool to measure the uncertainty.  ...  How to deal with the imprecise and fuzzy data is a possible direction of future research and an extension of the approach proposed in this study. lower bound, U: upper bound.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e18120452">doi:10.3390/e18120452</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/oug4nufrprbcxbfpmf4vsz7dr4">fatcat:oug4nufrprbcxbfpmf4vsz7dr4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20180729063035/https://res.mdpi.com/def50200fe69e421e2c0db6c61e97ab2879381422e3b61751b11cb7c71ded38cd31b62b068ee2cb6f55c231588ddd9c3a047fcb6d7d3493300e247a61b5fc911b92a731bb0b48ddddd07ab3c998606e75ca3d9e69051ba09e177130c361d1d8a1a719900749240569bc0f44c3c4a8c497863c5ce5b1032263c3bbeb6cb0f13cf69e88bdf30bdcd80cbd98e63c5557d99?filename=&amp;attachment=1" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/44/2e/442ece7b6e70647111c742f4a44ff8c260f7a48e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e18120452"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Page 2898 of Mathematical Reviews Vol. , Issue 91E [page]

<span title="">1991</span> <i title="American Mathematical Society"> <a target="_blank" rel="noopener" href="https://archive.org/details/pub_mathematical-reviews" style="color: black;">Mathematical Reviews </a> </i> &nbsp;
Mod- ern Phys. 49 (1977), no. 3, 435-480], this leads to a lower bound for the critical dynamical exponent z. This bound is nonuniversal.  ...  The functional is constructed as a difference between doubled strength of inner stress and entropy production.  ... 
<span class="external-identifiers"> </span>
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Low-density random matrices for secret key extraction

Hongchao Zhou, Venkat Chandar, Gregory Wornell
<span title="">2013</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ux5tf45dtrgptnezraiii73msm" style="color: black;">2013 IEEE International Symposium on Information Theory</a> </i> &nbsp;
We show that this method can achieve the information-theoretic upper bound (conditional Shannon entropy) on efficiency for a wide range of key-distribution systems.  ...  In addition, we introduce a numerical method that allows us to tightly estimate the quality of the generated secret key in the regime of finite block length, and use this method to demonstrate that low-density  ...  given E = e with e ∈ E N , A can be treated as an independent sequence. Based on the approach above, we can calculate a lower bound for H(Y |M, E = e, R).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/isit.2013.6620698">doi:10.1109/isit.2013.6620698</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/isit/ZhouCW13.html">dblp:conf/isit/ZhouCW13</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/77z2e2ori5cqxk6eozjbfyurpq">fatcat:77z2e2ori5cqxk6eozjbfyurpq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20150908192433/http://www.mit.edu:80/~hongchao/papers/Conference/ISIT2013_RandomMatrices.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/3e/30/3e30d50a34498d094b5799afdfacf9707e14ac99.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/isit.2013.6620698"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

Minimum Sample Size for Reliable Causal Inference Using Transfer Entropy

Antônio Ramos, Elbert Macau
<span title="2017-03-31">2017</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
Our methodology offers a realistic lower bound for the sample size to produce a reliable outcome.  ...  Transfer Entropy has been applied to experimental datasets to unveil causality between variables.  ...  To answer this, we employ TE as a statistical test and search for the lower bound of the sample size that produces a reliable true positive.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e19040150">doi:10.3390/e19040150</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/345uoh3janfwlgsxq44ej3ucl4">fatcat:345uoh3janfwlgsxq44ej3ucl4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190307063037/http://pdfs.semanticscholar.org/dc46/1c0831be3e45853cd3b43a92472348cc4c50.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/dc/46/dc461c0831be3e45853cd3b43a92472348cc4c50.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e19040150"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>

Unsteady Volumetric Entropy Generation Rate in Laminar Boundary Layers

E. Walsh, D. Hernon
<span title="2006-02-06">2006</span> <i title="MDPI AG"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/4d3elkqvznfzho6ki7a35bt47u" style="color: black;">Entropy</a> </i> &nbsp;
Here we highlight the deficiencies of this approach by quantifying the magnitude of entropy generation rate fluctuations in the laminar boundary layer subjected to free stream turbulence.  ...  We find fluctuation levels in excess of 100% in the near wall region, thereby indicating the need to account for the unsteadiness in laminar boundary layers subjected to free stream turbulence.  ...  Based upon these measurements we can construct velocity profiles representing the upper and lower bounds on the deviation from the mean.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e8010025">doi:10.3390/e8010025</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/okojwdmq7ve6vfkzgj3nudm27a">fatcat:okojwdmq7ve6vfkzgj3nudm27a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20110608061802/http://www.mdpi.org/entropy/papers/e8010025.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/99/24/992410084ef7ad5b1ef261ccfa3c94ac044e7e32.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3390/e8010025"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> mdpi.com </button> </a>
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