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Merge pull request #66 from tee-lab/docs-minor
Updates to documentation
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docs/source/citation.rst

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Citing PyDaddy
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==============
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If you are using this package or any of the included code in your research, please cite the associated manuscript as follows:
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If you are using this package in your research, please cite the associated paper as follows:
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Nabeel, A., Karichannavar, A., Palathingal, S., Jhawar, J., Brückner, D., Danny Raj, M., & Guttal, V. (2022). PyDaddy: A Python package for discovering stochastic dynamical equations from timeseries data. arXiv preprint arXiv:2205.02645.
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Nabeel, A., Karichannavar, A., Palathingal, S., Jhawar, J., Brückner, D. B., Danny Raj, M., & Guttal, V., "Discovering stochastic dynamical equations from ecological time series data", arXiv preprint `arXiv:2205.02645 <https://arxiv.org/abs/2205.02645>`_, to appear in *The American Naturalist*.

docs/source/datasets.rst

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The following sample datasets are available:
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- :code:`fish-data-etroplus`: Group polarization data from a fish schooling experiment [1]_.
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- :code:`model-data-scalar-pairwise` and :code:`model-data-scalar-ternary`: Scalar (1-D) simulated datasets generated from a stochastic Gillespie simulation, with pairwise and ternary interaction models respectively [1]_ [2]_.
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- :code:`model-data-vector-pairwise` and :code:`model-data-vector-ternary`: Vector (2-D) simulated datasets generated from a stochastic Gillespie simulation, with pairwise and ternary interaction models respectively [1]_ [2]_.
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- :code:`cell-data-cellhopping`: Dataset from a confined cell migration experiment [2]_
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- :code:`model-data-scalar-pairwise` and :code:`model-data-scalar-ternary`: Scalar (1-D) simulated datasets generated from a stochastic Gillespie simulation, with pairwise and ternary interaction models respectively [1]_ [3]_.
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- :code:`model-data-vector-pairwise` and :code:`model-data-vector-ternary`: Vector (2-D) simulated datasets generated from a stochastic Gillespie simulation, with pairwise and ternary interaction models respectively [1]_ [3]_.
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The fish schooling dataset contains the time series of the group polarization vector $\mathbf m$ (2-dimensional), for a group of 15 fish (\emph{Etroplus suratensis}). The polarization time series is available at a uniform interval of 0.12 second. The dataset contains many missing data points [1]_.
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The simulated datasets were generated using a continuous-time stochastic simulation algorithm, with pairwise and ternary interaction models respectively. Each simulated time series was resampled to a suitable uniform sampling interval [1]_ [2]_. Simulated datasets are provided for both 1-D and 2-D.
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.. [1] Jhawar, J., Morris, R. G., Amith-Kumar, U. R., Danny Raj, M., Rogers, T., Rajendran, H., & Guttal, V. (2020). Noise-induced schooling of fish. Nature Physics, 16(4), 488-493.
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.. [2] Jhawar, J., & Guttal, V. (2020). Noise-induced effects in collective dynamics and inferring local interactions from data. Philosophical Transactions of the Royal Society B, 375(1807), 20190381.
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.. [1] Jhawar, J., Morris, R. G., Amith-Kumar, U. R., Danny Raj, M., Rogers, T., Rajendran, H., & Guttal, V. (2020). Noise-induced schooling of fish. Nature Physics, 16(4), 488-493 (`doi <https://doi.org/10.1038/s41567-020-0787-y>`_).
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.. [2] Brückner, D. B., Fink, A., Schreiber, C. et al. Stochastic nonlinear dynamics of confined cell migration in two-state systems. Nat. Phys. 15, 595–601 (2019) (`doi <https://doi.org/10.1038/s41567-019-0445-4>`_).
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.. [3] Jhawar, J., & Guttal, V. (2020). Noise-induced effects in collective dynamics and inferring local interactions from data. Philosophical Transactions of the Royal Society B, 375(1807), 20190381. (`doi <http://dx.doi.org/10.1098/rstb.2019.0381>`_)

docs/source/index.rst

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If you are using this package in your research, please cite the associated paper as follows:
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Nabeel, A., Karichannavar, A., Palathingal, S., Jhawar, J., Brückner, D. B., Danny Raj, M., & Guttal, V., "Discovering stochastic dynamical equations from ecological time series data", arXiv preprint [arXiv:2205.02645](https://arxiv.org/abs/2205.02645), to appear in *The American Naturalist*.
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Nabeel, A., Karichannavar, A., Palathingal, S., Jhawar, J., Brückner, D. B., Danny Raj, M., & Guttal, V., "Discovering stochastic dynamical equations from ecological time series data", arXiv preprint `arXiv:2205.02645 <https://arxiv.org/abs/2205.02645>`_, to appear in *The American Naturalist*.
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Contents
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--------

docs/source/tutorials.rst

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Tutorials (no installation required)
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Tutorials
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=========
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.. |colab-getting-started| image:: https://colab.research.google.com/assets/colab-badge.svg
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.. |github-cell| image:: https://img.shields.io/badge/Open_in_GitHub-grey?logo=github
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:target: https://www.github.com/tee-lab/PyDaddy/blob/master/notebooks/8_example_cell_migration.ipynb
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.. |colab-3d| image:: https://colab.research.google.com/assets/colab-badge.svg
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:target: https://colab.research.google.com/github/tee-lab/PyDaddy/blob/colab/notebooks/9_higher_dimensions.ipynb
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.. |github-3d| image:: https://img.shields.io/badge/Open_in_GitHub-grey?logo=github
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:target: https://www.github.com/tee-lab/PyDaddy/blob/master/notebooks/9_higher_dimensions.ipynb
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.. |colab| image:: https://colab.research.google.com/assets/colab-badge.svg
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.. |github| image:: https://img.shields.io/badge/Open_in_GitHub-grey?logo=github
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An example analysis of a confined cell migration dataset (Brückner et. al., Nature Physics, 2019) using PyDaddy.
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Higher dimensions
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^^^^^^^^^^^^^^^^^
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|colab-3d| |github-3d|
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This notebooks demonstrates how to use the principles of SDE estimations and tools in PyDaddy to estimate SDEs for higher-dimensional systems. The notebook uses the example of a (3-dimensional) stochastic Lorenz system.
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