ó
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 Z
 d d l m Z d d	 l m Z m Z d d
 l m Z d d d d d d g Z i e d 6e d 6Z d e f d     YZ d S(   s5   
Kernel Density Estimation
-------------------------
i˙˙˙˙N(   t   gammainci   (   t   BaseEstimator(   t   check_arrayt   check_random_statet   check_consistent_length(   t	   row_normsi   (   t   BallTreet   DTYPE(   t   KDTreet   gaussiant   tophatt   epanechnikovt   exponentialt   lineart   cosinet	   ball_treet   kd_treet   KernelDensityc        
   B   sn   e  Z d  Z d d d d d d e d d d 	 Z d   Z d d d	  Z d
   Z d d  Z	 d d d  Z
 RS(   sŤ  Kernel Density Estimation

    Read more in the :ref:`User Guide <kernel_density>`.

    Parameters
    ----------
    bandwidth : float
        The bandwidth of the kernel.

    algorithm : string
        The tree algorithm to use.  Valid options are
        ['kd_tree'|'ball_tree'|'auto'].  Default is 'auto'.

    kernel : string
        The kernel to use.  Valid kernels are
        ['gaussian'|'tophat'|'epanechnikov'|'exponential'|'linear'|'cosine']
        Default is 'gaussian'.

    metric : string
        The distance metric to use.  Note that not all metrics are
        valid with all algorithms.  Refer to the documentation of
        :class:`BallTree` and :class:`KDTree` for a description of
        available algorithms.  Note that the normalization of the density
        output is correct only for the Euclidean distance metric. Default
        is 'euclidean'.

    atol : float
        The desired absolute tolerance of the result.  A larger tolerance will
        generally lead to faster execution. Default is 0.

    rtol : float
        The desired relative tolerance of the result.  A larger tolerance will
        generally lead to faster execution.  Default is 1E-8.

    breadth_first : boolean
        If true (default), use a breadth-first approach to the problem.
        Otherwise use a depth-first approach.

    leaf_size : int
        Specify the leaf size of the underlying tree.  See :class:`BallTree`
        or :class:`KDTree` for details.  Default is 40.

    metric_params : dict
        Additional parameters to be passed to the tree for use with the
        metric.  For more information, see the documentation of
        :class:`BallTree` or :class:`KDTree`.
    g      đ?t   autoR	   t	   euclideani    i(   c
   
      C   sŞ   | |  _  | |  _ | |  _ | |  _ | |  _ | |  _ | |  _ | |  _ |	 |  _ |  j	 |  j  |  j  | d k r t
 d   n  | t k rŚ t
 d j |    n  d  S(   Ni    s   bandwidth must be positives   invalid kernel: '{0}'(   t	   algorithmt	   bandwidtht   kernelt   metrict   atolt   rtolt   breadth_firstt	   leaf_sizet   metric_paramst   _choose_algorithmt
   ValueErrort   VALID_KERNELSt   format(
   t   selfR   R   R   R   R   R   R   R   R   (    (    s4   lib/python2.7/site-packages/sklearn/neighbors/kde.pyt   __init__I   s    									c         C   sĽ   | d k rJ | t  j k r d S| t j k r2 d St d j |    nW | t k r | t | j k r t d j t | |    n  | St d j |    d  S(   NR   R   R   s   invalid metric: '{0}'s   invalid metric for {0}: '{1}'s   invalid algorithm: '{0}'(   R   t   valid_metricsR   R   R    t	   TREE_DICT(   R!   R   R   (    (    s4   lib/python2.7/site-packages/sklearn/neighbors/kde.pyR   `   s    	c      	   C   s  |  j  |  j |  j  } t | d d d t } | d k	 rż t | d d d t d t } | j d k r t d j	 | j
 d | j
    n  t | |  | j   d k rż t d   qż n  |  j } | d k rÝ i  } n  t | | d	 |  j d
 |  j d | | |  _ |  S(   s}  Fit the Kernel Density model on the data.

        Parameters
        ----------
        X : array_like, shape (n_samples, n_features)
            List of n_features-dimensional data points.  Each row
            corresponds to a single data point.
        sample_weight : array_like, shape (n_samples,), optional
            List of sample weights attached to the data X.
        t   ordert   Ct   dtypet	   ensure_2di   s6   the shape of sample_weight must be ({0},), but was {1}i    s'   sample_weight must have positive valuesR   R   t   sample_weightN(   R   R   R   R   R   t   Nonet   Falset   ndimR   R    t   shapeR   t   minR   R$   R   t   tree_(   R!   t   Xt   yR)   R   t   kwargs(    (    s4   lib/python2.7/site-packages/sklearn/neighbors/kde.pyt   fitt   s(    		
			c         C   s˛   t  | d d d t } |  j j d k r@ |  j j j d } n |  j j } |  j | } |  j j	 | d |  j
 d |  j d | d |  j d	 |  j d
 t } | t j |  8} | S(   s  Evaluate the density model on the data.

        Parameters
        ----------
        X : array_like, shape (n_samples, n_features)
            An array of points to query.  Last dimension should match dimension
            of training data (n_features).

        Returns
        -------
        density : ndarray, shape (n_samples,)
            The array of log(density) evaluations. These are normalized to be
            probability densities, so values will be low for high-dimensional
            data.
        R%   R&   R'   i    t   hR   R   R   R   t
   return_logN(   R   R   R/   R)   R*   t   dataR-   t
   sum_weightR   t   kernel_densityR   R   R   R   t   Truet   npt   log(   R!   R0   t   Nt   atol_Nt   log_density(    (    s4   lib/python2.7/site-packages/sklearn/neighbors/kde.pyt   score_samples   s    	c         C   s   t  j |  j |   S(   sú  Compute the total log probability density under the model.

        Parameters
        ----------
        X : array_like, shape (n_samples, n_features)
            List of n_features-dimensional data points.  Each row
            corresponds to a single data point.

        Returns
        -------
        logprob : float
            Total log-likelihood of the data in X. This is normalized to be a
            probability density, so the value will be low for high-dimensional
            data.
        (   R:   t   sumR?   (   R!   R0   R1   (    (    s4   lib/python2.7/site-packages/sklearn/neighbors/kde.pyt   scoreľ   s    i   c         C   s  |  j  d k r t    n  t j |  j j  } t |  } | j d d d | } |  j j d
 k r | | j
 d j t j  } n> t j t j |  j j   } | d } t j | | |  } |  j  d k ró t j | j | | |  j   S|  j  d k r| j
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 t |
 d t } t d |	 d |  d	 |	 |  j t j |  } | | |
 | d
 d
  t j f Sd
 S(   sŇ  Generate random samples from the model.

        Currently, this is implemented only for gaussian and tophat kernels.

        Parameters
        ----------
        n_samples : int, optional
            Number of samples to generate. Defaults to 1.

        random_state : int, RandomState instance or None. default to None
            If int, random_state is the seed used by the random number
            generator; If RandomState instance, random_state is the random
            number generator; If None, the random number generator is the
            RandomState instance used by `np.random`.

        Returns
        -------
        X : array_like, shape (n_samples, n_features)
            List of samples.
        R	   R
   i    i   t   sizei˙˙˙˙t   squaredg      ŕ?g      đ?N(   R	   R
   (   R   t   NotImplementedErrorR:   t   asarrayR/   R6   R   t   uniformR)   R*   R-   t   astypet   int64t   cumsumt   searchsortedt
   atleast_2dt   normalR   R   R9   R    t   sqrtt   newaxis(   R!   t	   n_samplest   random_stateR6   t   rngt   ut   it   cumsum_weightR7   t   dimR0   t   s_sqt
   correction(    (    s4   lib/python2.7/site-packages/sklearn/neighbors/kde.pyt   sampleÇ   s$     
 3N(   t   __name__t
   __module__t   __doc__R9   R*   R"   R   R3   R?   RA   RX   (    (    (    s4   lib/python2.7/site-packages/sklearn/neighbors/kde.pyR      s   /	"	(   R[   t   numpyR:   t   scipy.specialR    t   baseR   t   utilsR   R   R   t   utils.extmathR   R   R   R   R   R   R   R$   R   (    (    (    s4   lib/python2.7/site-packages/sklearn/neighbors/kde.pyt   <module>   s   	