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        <identifier>oai:figshare.com:article/34013331</identifier>
        <datestamp>2026-09-28T12:05:51Z</datestamp>
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          <dc:title>The 1000×1000 collection: 1000 synthetic time series from 133 dynamical processes</dc:title>
          <dc:creator>Ben Fulcher (5268071)</dc:creator>
          <dc:subject>Time-series analysis</dc:subject>
          <dc:subject>Signal processing</dc:subject>
          <dc:subject>Dynamical systems in applications</dc:subject>
          <dc:subject>Ordinary differential equations, difference equations and dynamical systems</dc:subject>
          <dc:subject>Complex systems</dc:subject>
          <dc:subject>time series</dc:subject>
          <dc:subject>dynamical systems</dc:subject>
          <dc:subject>chaos</dc:subject>
          <dc:subject>stochastic processes</dc:subject>
          <dc:description>&lt;p dir="ltr"&gt;What types of dynamical structure in the world do we as scientists have models for? The 1000×1000 collection contains 1000 simulated time series, each 1000 samples long, generated from 133 mechanisms across 13 classes: noise and linear processes, long-memory and multifractal processes, nonlinear stochastic processes, deterministic maps, chaotic flows, oscillators, noise-driven continuous-time dynamics, point processes and discrete states, composite and coupled systems, observation effects, and models of hearts, brains, climate and ecosystems. All series are stationary, real-valued and finite-variance.&lt;/p&gt;&lt;p dir="ltr"&gt;Each series comes with its generating process, drawn parameters, and property tags (e.g., chaotic, long memory, heavy-tailed, bursty). The collection is a rethinking of the existing Empirical1000 dataset, in the same &lt;i&gt;hctsa&lt;/i&gt; file formats, and includes the full &lt;i&gt;hctsa&lt;/i&gt; feature matrix (v3.0, 7077 features).&lt;/p&gt;&lt;p dir="ltr"&gt;Files: INP_1000x1000.mat (&lt;i&gt;hctsa&lt;/i&gt; input), HCTSA_1000x1000.mat (hctsa features), hctsa_*.csv (the same as CSV), metadata.csv (ground truth and tags), series.npz (NumPy). See README.md for details.&lt;/p&gt;&lt;p dir="ltr"&gt;Explore the collection interactively, listen to it, and see its equations: https://dynamicsandneuralsystems.github.io/1000x1000/.&lt;/p&gt;&lt;p dir="ltr"&gt;If you use the &lt;i&gt;hctsa&lt;/i&gt; features, please cite B.D. Fulcher and N.S. Jones, *Cell Systems* 5, 527 (2017), doi:10.1016/j.cels.2017.10.001.&lt;/p&gt;</dc:description>
          <dc:date>2026-09-28T12:05:51Z</dc:date>
          <dc:type>Dataset</dc:type>
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          <dc:identifier>10.6084/m9.figshare.34013331.v1</dc:identifier>
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          <dc:rights>CC BY 4.0</dc:rights>
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