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    Parameters
    ----------
    inst : instance of Epochs | Raw
        The instance to process.
    %(picks_good_data)s
    picks_artifact : array-like | str
        Channel picks to use as predictor/explanatory variables capturing
        the artifact of interest (default is "eog").
    betas : ndarray, shape (n_picks, n_picks_ref) | None
        The regression coefficients to use. If None (default), they will be
        estimated from the data.
    copy : bool
        If True (default), copy the instance before modifying it.
    %(verbose)s

    Returns
    -------
    inst : instance of Epochs | Raw
        The processed data.
    betas : ndarray, shape (n_picks, n_picks_ref)
        The betas used during regression.

    Notes
    -----
    To implement the method outlined in :footcite:`GrattonEtAl1983`,
    remove the evoked response from epochs before estimating the
    regression coefficients, then apply those regression coefficients to the
    original data in two calls like (here for a single-condition ``epochs``
    only):

        >>> epochs_no_ave = epochs.copy().subtract_evoked()  # doctest:+SKIP
        >>> _, betas = mne.preprocessing.regress(epochs_no_ave)  # doctest:+SKIP
        >>> epochs_clean, _ = mne.preprocessing.regress(epochs, betas=betas)  # doctest:+SKIP

    References
    ----------
    .. footbibliography::
    ZregressÚinstzEpochs or RawÚdata)Únonez+picks_artifact cannot be contained in picks.NéÿÿÿÿT)Zkeepdimsé   é   r   r   F)Zdtypezbetas.shape)r   r   r   r   r   ÚinfoÚnpZin1dÚanyÚ
ValueErrorÚcopyÚ_dataZmeanÚndimZ	transposeZreshapeÚlenÚdotÚTÚemptyZasarrayÚfloatr   ÚshapeÚ	enumerateZlinalgZsolve)r   ZpicksZpicks_artifactZbetasr   r	   Zartifact_dataZref_dataZcovZbetas_shapeÚestimateÚpiÚpickZ	this_dataZ
orig_shapeZcov_data© r"   úY/var/www/html/bwave/python/venv/lib/python3.8/site-packages/mne/preprocessing/_regress.pyÚregress_artifact   s8    +
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