.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/neuralLatents/plot_MC_MAZE_SMALL.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

    .. note::
        :class: sphx-glr-download-link-note

        :ref:`Go to the end <sphx_glr_download_auto_examples_neuralLatents_plot_MC_MAZE_SMALL.py>`
        to download the full example code or to run this example in your browser via Binder

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_neuralLatents_plot_MC_MAZE_SMALL.py:


Learning and inference of latents with MC_MAZE_SMALL data
============================================================

The code below learns and infers latents with MC_MAZE_SMALL data.

.. GENERATED FROM PYTHON SOURCE LINES 11-24

.. code-block:: default


    import numpy as np
    import plotly.graph_objects as go

    from dandi.dandiapi import DandiAPIClient
    from pynwb import NWBHDF5IO

    import ssm.inference
    import ssm.learning
    import ssm.neural_latents.utils
    import ssm.neural_latents.plotting









.. GENERATED FROM PYTHON SOURCE LINES 25-34

Define variables
^^^^^^^^^^^^^^^^
Here I am setting a small value to variable ``max_iter``, in order to build
this documentation quickly. You may want to set this variable to
``max_iter=2000`` in combination with a small error tolerance ``tol=1e-3``.

In addition, you may want to plot all the data, and not just a small time
interval between ``from_time = 100.0`` and ``to_time = 130.0``, by setting
``from_time = -np.inf`` and ``to_time = np.inf``.

.. GENERATED FROM PYTHON SOURCE LINES 34-70

.. code-block:: default


    # data
    get_data_from_Dandi = True
    dandiset_ID = "000140"
    dandi_filepath = "sub-Jenkins/sub-Jenkins_ses-small_desc-train_behavior+ecephys.nwb"
    local_filepath = f"../../../../projects/lds_neuralLatents_MC_MAZE_SMALL/data/{dandiset_ID}/sub-Jenkins/sub-Jenkins_ses-small_desc-train_behavior+ecephys.nwb"
    bin_size = 0.02

    # plot
    events_names = ["start_time", "target_on_time", "go_cue_time",
                    "move_onset_time", "stop_time"]
    events_linetypes = ["dot", "dash", "dashdot", "longdash", "solid"]
    events_colors_spikes = ["white", "white", "white", "white", "white"]
    events_colors_latents = ["black", "black", "black", "black", "black"]
    cb_alpha = 0.3
    from_time = 100.0
    to_time = 130.0

    # model
    n_latents = 10

    # estimation initial conditions
    sigma_B = 0.1
    sigma_Z = 0.1
    sigma_Q = 0.1
    sigma_R = 0.1
    sigma_m0 = 0.1
    sigma_V0 = 0.1

    # estimation parameters
    # max_iter = 2000
    max_iter = 2000
    tol = 1e-1
    vars_to_estimate = {"B": True, "Q": True, "Z": True, "R": True,
                        "m0": True, "V0": True, }








.. GENERATED FROM PYTHON SOURCE LINES 71-73

Download data
^^^^^^^^^^^^^

.. GENERATED FROM PYTHON SOURCE LINES 73-92

.. code-block:: default

    if get_data_from_Dandi:
        with DandiAPIClient() as client:
            asset = client.get_dandiset(dandiset_ID,
                                        "draft").get_asset_by_path(dandi_filepath)
            s3_path = asset.get_content_url(follow_redirects=1, strip_query=True)
            io = NWBHDF5IO(s3_path, mode="r", driver="ros3")
            nwbfile = io.read()
            units_df = nwbfile.units.to_dataframe()
            trials_df = nwbfile.intervals["trials"].to_dataframe()
    else:
        with NWBHDF5IO(local_filepath, 'r') as io:
            nwbfile = io.read()
            units_df = nwbfile.units.to_dataframe()
            trials_df = nwbfile.intervals["trials"].to_dataframe()


    # n_clusters
    n_clusters = units_df.shape[0]








.. GENERATED FROM PYTHON SOURCE LINES 93-95

Bin spikes
^^^^^^^^^^

.. GENERATED FROM PYTHON SOURCE LINES 95-116

.. code-block:: default


    # continuous spikes times
    continuous_spikes_times = [None for n in range(n_clusters)]
    for n in range(n_clusters):
        continuous_spikes_times[n] = units_df.iloc[n]['spike_times']

    binned_spikes, bin_edges = ssm.neural_latents.utils.bin_spike_times(
        spike_times=continuous_spikes_times, bin_size=bin_size)
    bin_centers = (bin_edges[1:] + bin_edges[:-1])/2
    transformed_binned_spikes = np.sqrt(binned_spikes + 0.5)

    # clip data to plot
    first_index = np.where(bin_centers >= from_time)[0][0]
    last_index = np.where(bin_centers <= to_time)[0][-1]
    to_plot_slice = slice(first_index, last_index)
    bin_centers_to_plot = bin_centers[to_plot_slice]
    trials_df = trials_df[np.logical_and(
        trials_df['start_time'] >= from_time,
        trials_df['stop_time'] <= to_time,
    )]








.. GENERATED FROM PYTHON SOURCE LINES 117-119

Plot binned spikes
~~~~~~~~~~~~~~~~~~

.. GENERATED FROM PYTHON SOURCE LINES 119-132

.. code-block:: default


    fig = go.Figure()
    trace = go.Heatmap(x=bin_centers_to_plot,
                       z=transformed_binned_spikes[:, to_plot_slice],
                       colorbar=dict(title="<b>Sqrt(spike_count+0.5)</b>"))
    fig.add_trace(trace)
    ssm.neural_latents.plotting.add_events_vlines(
        fig=fig, trials_df=trials_df, events_names=events_names,
        events_linetypes=events_linetypes, events_colors=events_colors_spikes)
    fig.update_xaxes(title="Time (sec)")
    fig.update_yaxes(title="Cluster Index")
    fig






.. raw:: html

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.. GENERATED FROM PYTHON SOURCE LINES 133-135

Parameter learning using expectation maximization
^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^

.. GENERATED FROM PYTHON SOURCE LINES 135-149

.. code-block:: default


    B0 = np.diag(np.random.normal(loc=0, scale=sigma_B, size=n_latents))
    Z0 = np.random.normal(loc=0, scale=sigma_Z, size=(n_clusters, n_latents))
    Q0 = np.diag(np.abs(np.random.normal(loc=0, scale=sigma_Q, size=n_latents)))
    R0 = np.diag(np.abs(np.random.normal(loc=0, scale=sigma_R, size=n_clusters)))
    m0_0 = np.random.normal(loc=0, scale=sigma_m0, size=n_latents)
    V0_0 = np.diag(np.abs(np.random.normal(loc=0, scale=sigma_V0, size=n_latents)))

    optim_res = ssm.learning.em_SS_LDS(
        y=transformed_binned_spikes, B0=B0, Q0=Q0, Z0=Z0, R0=R0,
        m0_0=m0_0, V0_0=V0_0, max_iter=max_iter, tol=tol,
        vars_to_estimate=vars_to_estimate,
    )





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.. GENERATED FROM PYTHON SOURCE LINES 150-152

Plot log likelihood vs iteration number
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

.. GENERATED FROM PYTHON SOURCE LINES 152-164

.. code-block:: default


    N = len(optim_res["log_like"])
    iter_no = np.arange(0, N)
    fig = go.Figure()
    trace = go.Scatter(x=iter_no,
                       y=optim_res["log_like"],
                       mode="lines+markers")
    fig.add_trace(trace)
    fig.update_layout(xaxis=dict(title="Iteration Number"),
                      yaxis=dict(title="Lower Bound"))
    fig






.. raw:: html

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    </div>
    <br />
    <br />

.. GENERATED FROM PYTHON SOURCE LINES 165-167

Kalman filtering
^^^^^^^^^^^^^^^^

.. GENERATED FROM PYTHON SOURCE LINES 167-172

.. code-block:: default


    filter_res = ssm.inference.filterLDS_SS_withMissingValues_np(
        y=transformed_binned_spikes, B=optim_res["B"], Q=optim_res["Q"],
        m0=optim_res["m0"], V0=optim_res["V0"], Z=optim_res["Z"], R=optim_res["R"])








.. GENERATED FROM PYTHON SOURCE LINES 173-175

Kalman smoothing
^^^^^^^^^^^^^^^^

.. GENERATED FROM PYTHON SOURCE LINES 175-181

.. code-block:: default


    smoothing_res = ssm.inference.smoothLDS_SS(
        B=optim_res["B"], xnn=filter_res["xnn"], Pnn=filter_res["Pnn"],
        xnn1=filter_res["xnn1"], Pnn1=filter_res["Pnn1"],
        m0=optim_res["m0"], V0=optim_res["V0"])








.. GENERATED FROM PYTHON SOURCE LINES 182-184

Plot smoothed states
^^^^^^^^^^^^^^^^^^^^

.. GENERATED FROM PYTHON SOURCE LINES 184-202

.. code-block:: default


    o_means_to_plot, o_covs_to_plot = ssm.neural_latents.utils.ortogonalizeMeansAndCovs(
        means=smoothing_res["xnN"][:, :, to_plot_slice],
        covs=smoothing_res["PnN"][:, :, to_plot_slice], Z=optim_res["Z"])

    fig = ssm.neural_latents.plotting.plot_latents(
        means=o_means_to_plot,
        covs=o_covs_to_plot,
        bin_centers=bin_centers_to_plot,
        trials_df=trials_df,
        events_names=events_names,
        events_linetypes=events_linetypes,
        events_colors=events_colors_latents,
        cb_alpha=cb_alpha,
        legend_pattern="smoothing_{:d}",
    )

    fig





.. raw:: html

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        :width: 150 px



    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download Python source code: plot_MC_MAZE_SMALL.py <plot_MC_MAZE_SMALL.py>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download Jupyter notebook: plot_MC_MAZE_SMALL.ipynb <plot_MC_MAZE_SMALL.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.github.io>`_