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  <doc>
    <id>2655</id>
    <completedYear>2014</completedYear>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>191</pageFirst>
    <pageLast>212</pageLast>
    <pageNumber/>
    <edition/>
    <issue>1</issue>
    <volume>1</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Modularity revisited: A novel dynamics-based concept for decomposing complex networks</title>
    <parentTitle language="eng">Journal of Computational Dynamics</parentTitle>
    <identifier type="url">http://publications.mi.fu-berlin.de/1127/</identifier>
    <identifier type="doi">10.3934/jcd.2014.1.191</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <enrichment key="FulltextUrl">http://publications.mi.fu-berlin.de/1127/1/AMScompstruct.pdf</enrichment>
    <author>Marco Sarich</author>
    <author>Natasa Djurdjevac Conrad</author>
    <author>Sharon Bruckner</author>
    <author>Tim Conrad</author>
    <author>Christof Schütte</author>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="persons" number="conrad">Conrad, Tim</collection>
    <collection role="institutes" number="bioinf">Bioinformatics in Medicine</collection>
    <collection role="projects" number="MIP_FORMATION">MIP_FORMATION</collection>
    <collection role="projects" number="MODAL-MedLab">MODAL-MedLab</collection>
    <collection role="projects" number="NonequiMSM">NonequiMSM</collection>
    <collection role="projects" number="SFB1114-A5">SFB1114-A5</collection>
    <collection role="projects" number="SFB765-C2">SFB765-C2</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
    <collection role="projects" number="DynOOCompNet">DynOOCompNet</collection>
  </doc>
  <doc>
    <id>5013</id>
    <completedYear/>
    <publishedYear/>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst/>
    <pageLast/>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume/>
    <type>reportzib</type>
    <publisherName/>
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    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>2014-05-16</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">SAIMeR: Self-adapted method for the identification of metastable states in real-world time series</title>
    <abstract language="eng">In the framework of time series analysis with recurrence networks, we introduce SAIMeR, a heuristic self-adapted method that determines the elusive recurrence threshold and identifies metastable states in complex time series. To identify metastable states as well as the transitions between them, we use graph theory concepts and a fuzzy partitioning clustering algorithm. We illustrate SAIMeR by applying it to three real-world time series and show that it is able to identify metastable states in real-world data with noise and missing data points. Finally, we suggest a way to choose the embedding parameters used to construct the state space in which this method is performed, based on the analysis of how the values of these parameters affect two recurrence quantitative measurements: recurrence rate and entropy.</abstract>
    <identifier type="issn">1438-0064</identifier>
    <identifier type="urn">urn:nbn:de:0297-zib-50130</identifier>
    <author>Iliusi Vega</author>
    <submitter>Erlinda Körnig</submitter>
    <author>Christof Schütte</author>
    <author>Tim Conrad</author>
    <series>
      <title>ZIB-Report</title>
      <number>14-16</number>
    </series>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>time series analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>application in statistical physics</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>recurrence quantification analysis</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>threshold</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>metastability</value>
    </subject>
    <subject>
      <language>eng</language>
      <type>uncontrolled</type>
      <value>non-linear dynamics</value>
    </subject>
    <collection role="msc" number="37M10">Time series analysis</collection>
    <collection role="msc" number="46N55">Applications in statistical physics</collection>
    <collection role="msc" number="62H30">Classification and discrimination; cluster analysis [See also 68T10]</collection>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="persons" number="conrad">Conrad, Tim</collection>
    <collection role="institutes" number="bioinf">Bioinformatics in Medicine</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
    <file>https://opus4.kobv.de/opus4-zib/files/5013/ZIB-Report_14-16.pdf</file>
  </doc>
  <doc>
    <id>4989</id>
    <completedYear/>
    <publishedYear>2014</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>66</pageFirst>
    <pageLast>67</pageLast>
    <pageNumber/>
    <edition/>
    <issue/>
    <volume>1</volume>
    <type>incollection</type>
    <publisherName>European Mathematical Society</publisherName>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Showcase 3: Information-based medicine</title>
    <parentTitle language="eng">MATHEON-Mathematics for Key Technologies</parentTitle>
    <enrichment key="Series">Series in Industrial and Applied Mathematics</enrichment>
    <enrichment key="PeerReviewed">no</enrichment>
    <author>Christof Schütte</author>
    <editor>Peter Deuflhard</editor>
    <submitter>Erlinda Körnig</submitter>
    <author>Tim Conrad</author>
    <editor>Martin Grötschel</editor>
    <editor>Dietmar Hömberg</editor>
    <editor>Ulrich Horst</editor>
    <editor>Jürg Kramer</editor>
    <editor>Volker Mehrmann</editor>
    <editor>Konrad Polthier</editor>
    <editor>Frank Schmidt</editor>
    <editor>Martin Skutella</editor>
    <editor>Jürgen Sprekels</editor>
    <collection role="institutes" number="num">Numerical Mathematics</collection>
    <collection role="institutes" number="vis">Visual Data Analysis</collection>
    <collection role="persons" number="schuette">Schütte, Christof</collection>
    <collection role="persons" number="conrad">Conrad, Tim</collection>
    <collection role="institutes" number="bioinf">Bioinformatics in Medicine</collection>
    <collection role="projects" number="MODAL-MedLab">MODAL-MedLab</collection>
    <collection role="projects" number="ECMath-CH7">ECMath-CH7</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
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