a  d@sddlmZmZmZmZmZmZddlmZddl m Z ddl m Z m Z mZmZddlmZddlmZddlmZddlmZmZesd gZGd d d eZd S) )AnyListOptionalSequenceTupleUnion)Tensor)Literal)_kendall_corrcoef_compute_kendall_corrcoef_update_MetricVariant_TestAlternative)Metric) dim_zero_cat)_MATPLOTLIB_AVAILABLE)_AX_TYPE_PLOT_OUT_TYPEKendallRankCorrCoef.plotcseZdZUdZdZdZdZdZee d<dZ ee d<e e e d <e e e d <de deee deeddfdd Ze e ddddZee ee e ffdddZdeee ee feeedddZZS)KendallRankCorrCoefa Compute `Kendall Rank Correlation Coefficient`_. .. math:: tau_a = \frac{C - D}{C + D} where :math:`C` represents concordant pairs, :math:`D` stands for discordant pairs. .. math:: tau_b = \frac{C - D}{\sqrt{(C + D + T_{preds}) * (C + D + T_{target})}} where :math:`C` represents concordant pairs, :math:`D` stands for discordant pairs and :math:`T` represents a total number of ties. .. math:: tau_c = 2 * \frac{C - D}{n^2 * \frac{m - 1}{m}} where :math:`C` represents concordant pairs, :math:`D` stands for discordant pairs, :math:`n` is a total number of observations and :math:`m` is a ``min`` of unique values in ``preds`` and ``target`` sequence. Definitions according to Definition according to `The Treatment of Ties in Ranking Problems`_. As input to ``forward`` and ``update`` the metric accepts the following input: - ``preds`` (:class:`~torch.Tensor`): Sequence of data in float tensor of either shape ``(N,)`` or ``(N,d)`` - ``target`` (:class:`~torch.Tensor`): Sequence of data in float tensor of either shape ``(N,)`` or ``(N,d)`` As output of ``forward`` and ``compute`` the metric returns the following output: - ``kendall`` (:class:`~torch.Tensor`): A tensor with the correlation tau statistic, and if it is not None, the p-value of corresponding statistical test. Args: variant: Indication of which variant of Kendall's tau to be used t_test: Indication whether to run t-test alternative: Alternative hypothesis for t-test. Possible values: - 'two-sided': the rank correlation is nonzero - 'less': the rank correlation is negative (less than zero) - 'greater': the rank correlation is positive (greater than zero) num_outputs: Number of outputs in multioutput setting kwargs: Additional keyword arguments, see :ref:`Metric kwargs` for more info. Raises: ValueError: If ``t_test`` is not of a type bool ValueError: If ``t_test=True`` and ``alternative=None`` Example (single output regression): >>> from torch import tensor >>> from torchmetrics.regression import KendallRankCorrCoef >>> preds = tensor([2.5, 0.0, 2, 8]) >>> target = tensor([3, -0.5, 2, 1]) >>> kendall = KendallRankCorrCoef() >>> kendall(preds, target) tensor(0.3333) Example (multi output regression): >>> from torchmetrics.regression import KendallRankCorrCoef >>> preds = tensor([[2.5, 0.0], [2, 8]]) >>> target = tensor([[3, -0.5], [2, 1]]) >>> kendall = KendallRankCorrCoef(num_outputs=2) >>> kendall(preds, target) tensor([1., 1.]) Example (single output regression with t-test): >>> from torchmetrics.regression import KendallRankCorrCoef >>> preds = tensor([2.5, 0.0, 2, 8]) >>> target = tensor([3, -0.5, 2, 1]) >>> kendall = KendallRankCorrCoef(t_test=True, alternative='two-sided') >>> kendall(preds, target) (tensor(0.3333), tensor(0.4969)) Example (multi output regression with t-test): >>> from torchmetrics.regression import KendallRankCorrCoef >>> preds = tensor([[2.5, 0.0], [2, 8]]) >>> target = tensor([[3, -0.5], [2, 1]]) >>> kendall = KendallRankCorrCoef(t_test=True, alternative='two-sided', num_outputs=2) >>> kendall(preds, target) (tensor([1., 1.]), tensor([nan, nan])) FNTgplot_lower_boundg?plot_upper_boundpredstargetb two-sided)arc)rZlessZgreater)variantt_test alternative num_outputskwargsreturnc stjfi|t|ts0tdt|d|rD|durDtdtt||_ |rft t|nd|_ ||_ |j dgdd|j dgdddS)Nz>Argument `t_test` is expected to be of a type `bool`, but got .zCArgument `alternative` is required if `t_test=True` but got `None`.rcat)Zdist_reduce_fxr)super__init__ isinstancebool ValueErrortyper Zfrom_strstrrr r r!Z add_state)selfrrr r!r" __class__h/var/www/html/stable-diffusion-webui/venv/lib/python3.9/site-packages/torchmetrics/regression/kendall.pyr'|s  zKendallRankCorrCoef.__init__)rrr#cCs$t|||j|j|jd\|_|_dS)zJUpdate variables required to compute Kendall rank correlation coefficient.)r!N)r rrr!)r-rrr0r0r1updateszKendallRankCorrCoef.update)r#cCs>t|j}t|j}t|||j|j\}}|dur:||fS|S)zgCompute Kendall rank correlation coefficient, and optionally p-value of corresponding statistical test.N)rrrr rr )r-rrtauZp_valuer0r0r1computes   zKendallRankCorrCoef.compute)valaxr#cCs |||S)aPlot a single or multiple values from the metric. Args: val: Either a single result from calling `metric.forward` or `metric.compute` or a list of these results. If no value is provided, will automatically call `metric.compute` and plot that result. ax: An matplotlib axis object. If provided will add plot to that axis Returns: Figure and Axes object Raises: ModuleNotFoundError: If `matplotlib` is not installed .. plot:: :scale: 75 >>> from torch import randn >>> # Example plotting a single value >>> from torchmetrics.regression import KendallRankCorrCoef >>> metric = KendallRankCorrCoef() >>> metric.update(randn(10,), randn(10,)) >>> fig_, ax_ = metric.plot() .. plot:: :scale: 75 >>> from torch import randn >>> # Example plotting multiple values >>> from torchmetrics.regression import KendallRankCorrCoef >>> metric = KendallRankCorrCoef() >>> values = [] >>> for _ in range(10): ... values.append(metric(randn(10,), randn(10,))) >>> fig, ax = metric.plot(values) )Z_plot)r-r5r6r0r0r1plots(r)rFrr)NN)__name__ __module__ __qualname____doc__Zis_differentiableZhigher_is_betterZfull_state_updaterfloat__annotations__rrrr r)rintrr'r2rrr4rrrr7 __classcell__r0r0r.r1r#s6 O       rN)typingrrrrrrZtorchrZtyping_extensionsr Z*torchmetrics.functional.regression.kendallr r r r Ztorchmetrics.metricrZtorchmetrics.utilities.datarZtorchmetrics.utilities.importsrZtorchmetrics.utilities.plotrrZ__doctest_skip__rr0r0r0r1s