Ë ©sgM ãó4—ddlZddlmZdgZGd„de«Zy)éN)Ú DistributionÚExponentialFamilycó<—eZdZdZed„«Zd„Zed„«Zd„Zy)raÒ ExponentialFamily is the abstract base class for probability distributions belonging to an exponential family, whose probability mass/density function has the form is defined below .. math:: p_{F}(x; \theta) = \exp(\langle t(x), \theta\rangle - F(\theta) + k(x)) where :math:`\theta` denotes the natural parameters, :math:`t(x)` denotes the sufficient statistic, :math:`F(\theta)` is the log normalizer function for a given family and :math:`k(x)` is the carrier measure. Note: This class is an intermediary between the `Distribution` class and distributions which belong to an exponential family mainly to check the correctness of the `.entropy()` and analytic KL divergence methods. We use this class to compute the entropy and KL divergence using the AD framework and Bregman divergences (courtesy of: Frank Nielsen and Richard Nock, Entropies and Cross-entropies of Exponential Families). có—t‚)zv Abstract method for natural parameters. Returns a tuple of Tensors based on the distribution ©ÚNotImplementedError©Úselfs úQ/var/www/html/venv/lib/python3.12/site-packages/torch/distributions/exp_family.pyÚ_natural_paramsz!ExponentialFamily._natural_paramsó €ô "Ð!ócó—t‚)zƒ Abstract method for log normalizer function. Returns a log normalizer based on the distribution and input r)r Únatural_paramss r Ú_log_normalizerz!ExponentialFamily._log_normalizer&s €ô "Ð!rcó—t‚)zp Abstract method for expected carrier measure, which is required for computing entropy. rr s r Ú_mean_carrier_measurez'ExponentialFamily._mean_carrier_measure-r rcóª—|j }|jDcgc] }|j«j«‘Œ"}}|j|Ž}t j j|j«|d¬«}||z }t||«D]8\}}|||zj|jdz«jd«z}Œ:|Scc}w)z_ Method to compute the entropy using Bregman divergence of the log normalizer. T)Ú create_graph)éÿÿÿÿr) rr ÚdetachÚrequires_grad_rÚtorchÚautogradÚgradÚsumÚzipÚreshapeÚ _batch_shape)r ÚresultÚpÚnparamsÚ lg_normalÚ gradientsÚnpÚgs r ÚentropyzExponentialFamily.entropy5sÍ€ð×,Ñ,Ð,ˆØ8<×8LÑ8LÖM°11—8‘8“:×,Ñ,Õ.ÐMˆÐMØ(D×(Ñ(¨'Ð2ˆ Ü—N‘N×'Ñ'¨ ¯ © «¸ÈtÐ'ÓTˆ Ø)шܘ )Ó,ò J‰EˆBØ r˜A‘v×&Ñ& t×'8Ñ'8¸5Ñ'@ÓA×EÑEÀbÓIÑ I‰Fð Jàˆ ùò Nsœ%CN) Ú__name__Ú __module__Ú __qualname__Ú__doc__Úpropertyr rrr'©rr rr s9„ñð(ñ"óð"ò"ðñ"óð"ó r)rÚ torch.distributions.distributionrÚ__all__rr-rr úr0s!ðã Ý9ð Ð €ô7˜ õ7r