<?xml version="1.0" encoding="utf-8"?>
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  <doc>
    <id>7341</id>
    <completedYear/>
    <publishedYear>2019</publishedYear>
    <thesisYearAccepted/>
    <language>eng</language>
    <pageFirst>2000</pageFirst>
    <pageLast>2046</pageLast>
    <pageNumber/>
    <edition/>
    <issue>4</issue>
    <volume>18</volume>
    <type>article</type>
    <publisherName/>
    <publisherPlace/>
    <creatingCorporation/>
    <contributingCorporation/>
    <belongsToBibliography>0</belongsToBibliography>
    <completedDate>--</completedDate>
    <publishedDate>--</publishedDate>
    <thesisDateAccepted>--</thesisDateAccepted>
    <title language="eng">Learning chemical reaction networks from trajectory data</title>
    <abstract language="eng">We develop a data-driven method to learn chemical reaction networks from trajectory data. Modeling the reaction system as a continuous-time Markov chain and assuming the system is fully observed,our method learns the propensity functions of the system with predetermined basis functions by maximizing the likelihood function of the trajectory data under l^1 sparse regularization. We demonstrate our method with numerical examples using synthetic data and carry out an asymptotic analysis of the proposed learning procedure in the infinite-data limit.</abstract>
    <parentTitle language="eng">SIAM Journal on Applied Dynamical Systems (SIADS)</parentTitle>
    <identifier type="arxiv">1902.04920</identifier>
    <identifier type="doi">10.1137/19M1265880</identifier>
    <enrichment key="PeerReviewed">yes</enrichment>
    <author>Wei Zhang</author>
    <submitter>Wei Zhang</submitter>
    <author>Stefan Klus</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="projects" number="MODAL-MedLab">MODAL-MedLab</collection>
    <collection role="projects" number="MODAL-Gesamt">MODAL-Gesamt</collection>
    <collection role="persons" number="zhang">Zhang, Wei</collection>
    <collection role="institutes" number="MSoCP">Modeling and Simulation of Complex Processes</collection>
    <collection role="institutes" number="VDcC">Visual and Data-centric Computing</collection>
  </doc>
</export-example>
