BellTransformation¶

class baybe.transformations.basic.BellTransformation[source]¶

Bases: Transformation

A Gaussian bell curve transformation.

Public methods

`__init__`([center, sigma])	Method generated by attrs for class BellTransformation.
`abs`()	Take the absolute value of the output of the transformation.
`chain`(transformation, /)	Chain another transformation with the existing one.
`clamp`([min, max])	Clamp the output of the transformation.
`from_dict`(dictionary)	Create an object from its dictionary representation.
`from_json`(source, /)	Create an object from its JSON representation.
`get_codomain`([interval])	Get the codomain of a certain interval (assuming transformation continuity).
`get_image`([interval])	Get the image of a certain interval (assuming transformation continuity).
`negate`()	Negate the output of the transformation.
`to_botorch_objective`()	Convert to BoTorch objective.
`to_dict`()	Create an object's dictionary representation.
`to_json`([sink, overwrite])	Create an object's JSON representation.

Public attributes and properties

`center`	The center point of the bell curve.
`sigma`	The scale parameter of the transformation.

__init__(center=0.0, sigma=1.0)¶

Method generated by attrs for class BellTransformation.

For details on the parameters, see Public attributes and properties.

abs()¶

Take the absolute value of the output of the transformation.

Return type:: Transformation

chain(transformation: Transformation, /)¶

Chain another transformation with the existing one.

Return type:: Transformation

clamp(min: float = -inf, max: float = inf)¶

Clamp the output of the transformation.

Return type:: Transformation

classmethod from_dict(dictionary: dict)¶

Create an object from its dictionary representation.

Parameters:: dictionary (dict) – The dictionary representation.
Return type:: TypeVar(_T, bound= SerialMixin)
Returns:: The reconstructed object.

classmethod from_json(source: str | Path | SupportsRead[str], /)¶

Create an object from its JSON representation.

Parameters:

source (str | Path | SupportsRead[str]) –

The JSON source. Can be:

A string containing JSON content.
A file path or Path object pointing to a JSON file.
A file-like object with a read() method.

Raises:

ValueError – If source is not one of the allowed types.

Return type:

Returns:

The reconstructed object.

get_codomain(interval: Interval | None = None, /)[source]¶

Get the codomain of a certain interval (assuming transformation continuity).

In accordance with the mathematical definition of a function’s codomain, we define the codomain of a given Interval under a certain (assumed continuous) Transformation to be an Interval guaranteed to contain all possible outcomes when the Transformation is applied to all points in the input Interval. In cases where the image cannot exactly be computed, it is often still possible to compute a codomain. The codomain always contains the image, but might be larger.

Return type:: Interval

get_image(interval: Interval | None = None, /)¶

Get the image of a certain interval (assuming transformation continuity).

In accordance with the mathematical definition of a function’s image, we define the image of a given Interval under a certain (assumed continuous) Transformation to be the smallest Interval containing all possible outcomes when the Transformation is applied to all points in the input Interval.

Return type:: Interval

negate()¶

Negate the output of the transformation.

Return type:: Transformation

to_botorch_objective()¶

Convert to BoTorch objective.

Return type:: MCAcquisitionObjective

to_dict()¶

Create an object’s dictionary representation.

Return type:: dict
Returns:: The dictionary representation of the object.

to_json(sink: str | Path | SupportsWrite[str] | None = None, /, *, overwrite: bool = False, **kwargs: Any)¶

Create an object’s JSON representation.

Parameters:

sink (str | Path | SupportsWrite[str] | None) –
The JSON sink. Can be:
- None (only returns the JSON string).
- A file path or Path object pointing to a location where to write the JSON content.
- A file-like object with a write() method.
overwrite (bool) – Boolean flag indicating if to overwrite the file if it already exists. Only relevant if sink is a file path or Path object.
**kwargs (Any) – Additional keyword arguments to pass to json.dumps().

Raises:

FileExistsError – If sink points to an already existing file but overwrite is False.

Return type:

str

Returns:

The JSON representation as a string.

center: float¶: The center point of the bell curve.

sigma: float¶

The scale parameter of the transformation.

Concerning the width of the bell curve, it has the same interpretation as the standard deviation in a Gaussian distribution. (The magnitude of the curve is not affected and always reaches a maximum value of 1 at the center.)