IЦiY(SrSSKrSSKJrJr /SQr"SS5r\"5r\"5r\R\R5\R\R5S55r \R\R5S5r \R\R5S 5r\R\R5\R\R 5\R\R5\R\R 5S 5555r\R\R$5\R\R&5\R\R$5\R\R&5S 5555r\R\R*5\R\R*5S 55r\R\R.5\R\R05\R\R.5\R\R05S 5555r\R\R45S5r\R\R45S5r\R\R:5S5r\R\R>5\R\R@5S55r!\R\RD5\R\RD5S55r#\R\RH5S5r%\R\RH5S5r&\R\RN5S5r(\R\RN5S5r)g)aF PyTorch provides two global :class:`ConstraintRegistry` objects that link :class:`~torch.distributions.constraints.Constraint` objects to :class:`~torch.distributions.transforms.Transform` objects. These objects both input constraints and return transforms, but they have different guarantees on bijectivity. 1. ``biject_to(constraint)`` looks up a bijective :class:`~torch.distributions.transforms.Transform` from ``constraints.real`` to the given ``constraint``. The returned transform is guaranteed to have ``.bijective = True`` and should implement ``.log_abs_det_jacobian()``. 2. ``transform_to(constraint)`` looks up a not-necessarily bijective :class:`~torch.distributions.transforms.Transform` from ``constraints.real`` to the given ``constraint``. The returned transform is not guaranteed to implement ``.log_abs_det_jacobian()``. The ``transform_to()`` registry is useful for performing unconstrained optimization on constrained parameters of probability distributions, which are indicated by each distribution's ``.arg_constraints`` dict. These transforms often overparameterize a space in order to avoid rotation; they are thus more suitable for coordinate-wise optimization algorithms like Adam:: loc = torch.zeros(100, requires_grad=True) unconstrained = torch.zeros(100, requires_grad=True) scale = transform_to(Normal.arg_constraints['scale'])(unconstrained) loss = -Normal(loc, scale).log_prob(data).sum() The ``biject_to()`` registry is useful for Hamiltonian Monte Carlo, where samples from a probability distribution with constrained ``.support`` are propagated in an unconstrained space, and algorithms are typically rotation invariant.:: dist = Exponential(rate) unconstrained = torch.zeros(100, requires_grad=True) sample = biject_to(dist.support)(unconstrained) potential_energy = -dist.log_prob(sample).sum() .. note:: An example where ``transform_to`` and ``biject_to`` differ is ``constraints.simplex``: ``transform_to(constraints.simplex)`` returns a :class:`~torch.distributions.transforms.SoftmaxTransform` that simply exponentiates and normalizes its inputs; this is a cheap and mostly coordinate-wise operation appropriate for algorithms like SVI. In contrast, ``biject_to(constraints.simplex)`` returns a :class:`~torch.distributions.transforms.StickBreakingTransform` that bijects its input down to a one-fewer-dimensional space; this a more expensive less numerically stable transform but is needed for algorithms like HMC. The ``biject_to`` and ``transform_to`` objects can be extended by user-defined constraints and transforms using their ``.register()`` method either as a function on singleton constraints:: transform_to.register(my_constraint, my_transform) or as a decorator on parameterized constraints:: @transform_to.register(MyConstraintClass) def my_factory(constraint): assert isinstance(constraint, MyConstraintClass) return MyTransform(constraint.param1, constraint.param2) You can create your own registry by creating a new :class:`ConstraintRegistry` object. N) constraints transforms)ConstraintRegistry biject_to transform_toc<^\rSrSrSrU4SjrSSjrSrSrU=r $)rQz- Registry to link constraints to transforms. c0>0Ul[TU] 5 gN) _registrysuper__init__)self __class__s f/var/www/html/ai-image-ml/venv/lib/python3.13/site-packages/torch/distributions/constraint_registry.pyrConstraintRegistry.__init__Vs c^^UcUU4Sj$[T[R5(a [T5m[T[5(a[ T[R5(d[ ST35eUTR T'U$)a Registers a :class:`~torch.distributions.constraints.Constraint` subclass in this registry. Usage:: @my_registry.register(MyConstraintClass) def construct_transform(constraint): assert isinstance(constraint, MyConstraint) return MyTransform(constraint.arg_constraints) Args: constraint (subclass of :class:`~torch.distributions.constraints.Constraint`): A subclass of :class:`~torch.distributions.constraints.Constraint`, or a singleton object of the desired class. factory (Callable): A callable that inputs a constraint object and returns a :class:`~torch.distributions.transforms.Transform` object. c(>TRTU5$r )register)factory constraintrs r-ConstraintRegistry.register..ms4==W#ErzLExpected constraint to be either a Constraint subclass or instance, but got ) isinstancer Constrainttype issubclass TypeErrorr rrrs`` rrConstraintRegistry.registerZs$ ?E E j+"8"8 9 9j)J*d++:  ..4 4 ^_i^jk &-z"rcUR[U5nU"U5$![a$ [S[U5RS35Sef=f)a  Looks up a transform to constrained space, given a constraint object. Usage:: constraint = Normal.arg_constraints['scale'] scale = transform_to(constraint)(torch.zeros(1)) # constrained u = transform_to(constraint).inv(scale) # unconstrained Args: constraint (:class:`~torch.distributions.constraints.Constraint`): A constraint object. Returns: A :class:`~torch.distributions.transforms.Transform` object. 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