parameterizations

Classes:

Name	Description
CloakStandardDeviationParameterization	Parameterizes rhos tensors (on the domain of all real numbers) as standard deviations tensors (on the open domain of min_scale to
DirectStandardDeviationParameterization	A direct parameterization of rhos tensors as standard deviations tensors (clamped into the closed domain of min_scale to
ScaledStandardDeviationParameterization	Defines the common structures necessary to parameterize rhos tensors (on the domain of all real numbers) as standard deviation
StandardDeviationParameterization	Defines the interface for the reparameterization of rhos tensors (on the domain of all real numbers) as standard deviation tensors

CloakStandardDeviationParameterization

Bases: ScaledStandardDeviationParameterization

Parameterizes rhos tensors (on the domain of all real numbers) as standard deviations tensors (on the open domain of min_scale to max_scale).

min_scale is strictly less than max_scale, and both must be nonnegative real numbers.

Parameters:

Name	Type	Description	Default
scale	tuple[float, float]	The asymptotic minimum and maximum values of the parameterized standard deviations.	(0.0001, 2.0)
shallow	float	A temperature-like parameter which controls the spread of the parameterization. Controls both the magnitude of parameterized standard deviations and their rate of change with respect to rhos. shallow > 1.0 yields a more gradual rate of change and higher standard deviations for rhos < 0.0 (typical for initialization) and lower standard deviations for rhos > 0.0. shallow < 1.0 yields the opposite, approaching a step function as shallow goes to 0.0 (not trainable).	1.0

Added in version 0.11.0.

Methods:

Name	Description
forward	Apply the parameterization to a rhos tensor.
inverse	Apply the inverse parameterization to a standard deviation tensor.
reset_parameters	Reinitialize parameters and buffers.

Attributes:

Name	Type	Description
max_scale	Tensor	The upper bound of the standard deviations.
min_scale	Tensor	The lower bound of the standard deviations.

max_scale property

max_scale: Tensor

The upper bound of the standard deviations.

min_scale property

min_scale: Tensor

The lower bound of the standard deviations.

forward

forward(rhos: Tensor) -> torch.Tensor

Apply the parameterization to a rhos tensor.

Parameters:

Name	Type	Description	Default
rhos	Tensor	A rhos tensor.	required

Returns:

Type	Description
torch.Tensor	A standard deviation tensor.

inverse

inverse(std: Tensor) -> torch.Tensor

Apply the inverse parameterization to a standard deviation tensor.

Parameters:

Name	Type	Description	Default
std	Tensor	A standard deviation tensor.	required

Returns:

Type	Description
torch.Tensor	A rhos tensor.

reset_parameters

reset_parameters() -> None

Reinitialize parameters and buffers.

This method is useful for initializing tensors created on the meta device.

Raises:

Type	Description
ValueError	If shallow is not a scalar.
ValueError	If shallow is nonpositive.

DirectStandardDeviationParameterization

Bases: ScaledStandardDeviationParameterization

A direct parameterization of rhos tensors as standard deviations tensors (clamped into the closed domain of min_scale to max_scale).

Methods:

Name	Description
forward	Clamp a rhos tensor into the closed domain of min_scale to max_scale.
inverse	The direct standard deviation parameterization is not bijective and so is non-invertible.
reset_parameters	Reinitialize parameters and buffers.

Attributes:

Name	Type	Description
max_scale	Tensor	The upper bound of the standard deviations.
min_scale	Tensor	The lower bound of the standard deviations.

max_scale property

max_scale: Tensor

The upper bound of the standard deviations.

min_scale property

min_scale: Tensor

The lower bound of the standard deviations.

forward

forward(rhos: Tensor) -> torch.Tensor

Clamp a rhos tensor into the closed domain of min_scale to max_scale.

Parameters:

Name	Type	Description	Default
rhos	Tensor	A rhos tensor.	required

Returns:

Type	Description
torch.Tensor	A standard deviation tensor.

inverse

inverse(std: Tensor) -> NoReturn

The direct standard deviation parameterization is not bijective and so is non-invertible.

Parameters:

Name	Type	Description	Default
std	Tensor	A standard deviation tensor.	required

Raises:

Type	Description
TypeError	If called.

reset_parameters

reset_parameters() -> None

Reinitialize parameters and buffers.

This method is useful for initializing tensors created on the meta device.

Raises:

Type	Description
ValueError	If scale is not a 2-vector.
ValueError	If min_scale is negative.
ValueError	If min_scale is not strictly less than max_scale.

ScaledStandardDeviationParameterization

Bases: StandardDeviationParameterization

Defines the common structures necessary to parameterize rhos tensors (on the domain of all real numbers) as standard deviation tensors (on the domain of min_scale to max_scale).

min_scale is strictly less than max_scale, and both must be nonnegative real numbers.

Parameters:

Name	Type	Description	Default
scale	tuple[float, float]	The minimum and maximum values of the parameterized standard deviations.	(0.0001, 2.0)

Methods:

Name	Description
forward	Apply the parameterization to a rhos tensor.
inverse	Apply the inverse parameterization to a standard deviation tensor.
reset_parameters	Reinitialize parameters and buffers.

Attributes:

Name	Type	Description
max_scale	Tensor	The upper bound of the standard deviations.
min_scale	Tensor	The lower bound of the standard deviations.

max_scale property

max_scale: Tensor

The upper bound of the standard deviations.

min_scale property

min_scale: Tensor

The lower bound of the standard deviations.

forward abstractmethod

forward(rhos: Tensor) -> torch.Tensor

Apply the parameterization to a rhos tensor.

Parameters:

Name	Type	Description	Default
rhos	Tensor	A rhos tensor.	required

Returns:

Type	Description
torch.Tensor	A standard deviation tensor.

inverse abstractmethod

inverse(std: Tensor) -> torch.Tensor

Apply the inverse parameterization to a standard deviation tensor.

Parameters:

Name	Type	Description	Default
std	Tensor	A standard deviation tensor.	required

Returns:

Type	Description
torch.Tensor	A rhos tensor.

reset_parameters

reset_parameters() -> None

Reinitialize parameters and buffers.

This method is useful for initializing tensors created on the meta device.

Raises:

Type	Description
ValueError	If scale is not a 2-vector.
ValueError	If min_scale is negative.
ValueError	If min_scale is not strictly less than max_scale.

StandardDeviationParameterization

Bases: Module, ABC

Defines the interface for the reparameterization of rhos tensors (on the domain of all real numbers) as standard deviation tensors (on the domain of nonnegative real numbers) of the applied transformation.

Rhos can be learned directly or estimated as the output of a neural network.

The derivative of this parameterization defines the rate of change of the standard deviations with respect rhos. When combined with a so-called "noise loss", used to penalize the standard deviations from deviating from the target distribution, and a task loss (i.e. classification, token prediction), we define a complete training objective and loss landscape for transform layers.

Added in version 0.11.0.

Methods:

Name	Description
forward	Apply the parameterization to a rhos tensor.
inverse	Apply the inverse parameterization to a standard deviation tensor.
reset_parameters	Reinitialize parameters and buffers.

forward abstractmethod

forward(rhos: Tensor) -> torch.Tensor

Apply the parameterization to a rhos tensor.

Parameters:

Name	Type	Description	Default
rhos	Tensor	A rhos tensor.	required

Returns:

Type	Description
torch.Tensor	A standard deviation tensor.

inverse abstractmethod

inverse(std: Tensor) -> torch.Tensor

Apply the inverse parameterization to a standard deviation tensor.

Parameters:

Name	Type	Description	Default
std	Tensor	A standard deviation tensor.	required

Returns:

Type	Description
torch.Tensor	A rhos tensor.

reset_parameters abstractmethod

reset_parameters() -> None

Reinitialize parameters and buffers.

This method is useful for initializing tensors created on the meta device.