Class swarmauri_standard.pseudometrics.ProjectionPseudometricR2.ProjectionPseudometricR2
swarmauri_standard.pseudometrics.ProjectionPseudometricR2.ProjectionPseudometricR2
ProjectionPseudometricR2(projection_axis=0, **kwargs)
Bases: PseudometricBase
A pseudometric that measures distance via projection in ℝ².
This pseudometric projects points onto a specified coordinate axis (x or y) and calculates the distance between their projections. Since points with different coordinates can have the same projection, this satisfies the pseudometric properties (allowing d(x,y)=0 for x≠y).
Attributes
type : Literal["ProjectionPseudometricR2"] The type identifier for this pseudometric projection_axis : int The axis to project onto (0 for x-axis, 1 for y-axis)
Initialize the ProjectionPseudometricR2.
Parameters
projection_axis : int, optional The axis to project onto (0 for x-axis, 1 for y-axis), by default 0
Raises
ValueError If projection_axis is not 0 or 1
Source code in swarmauri_standard/pseudometrics/ProjectionPseudometricR2.py
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type
class-attribute
instance-attribute
type = 'ProjectionPseudometricR2'
projection_axis
class-attribute
instance-attribute
projection_axis = Field(default=0, ge=0, le=1)
model_config
class-attribute
instance-attribute
model_config = ConfigDict(
extra="allow", arbitrary_types_allowed=True
)
id
class-attribute
instance-attribute
id = Field(default_factory=generate_id)
members
class-attribute
instance-attribute
members = None
owners
class-attribute
instance-attribute
owners = None
host
class-attribute
instance-attribute
host = None
default_logger
class-attribute
default_logger = None
logger
class-attribute
instance-attribute
logger = None
name
class-attribute
instance-attribute
name = None
version
class-attribute
instance-attribute
version = '0.1.0'
distance
distance(x, y)
Calculate the projection pseudometric distance between two 2D points.
The distance is calculated as the absolute difference between the projected coordinates on the specified axis.
Parameters
x : Union[VectorType, MatrixType, Sequence[T], str, Callable] The first 2D point y : Union[VectorType, MatrixType, Sequence[T], str, Callable] The second 2D point
Returns
float The projection pseudometric distance between x and y
Raises
TypeError If inputs are not valid 2D point representations ValueError If inputs cannot be interpreted as 2D points
Source code in swarmauri_standard/pseudometrics/ProjectionPseudometricR2.py
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distances
distances(xs, ys)
Calculate the pairwise projection distances between two collections of 2D points.
Parameters
xs : Sequence[Union[VectorType, MatrixType, Sequence[T], str, Callable]] The first collection of 2D points ys : Sequence[Union[VectorType, MatrixType, Sequence[T], str, Callable]] The second collection of 2D points
Returns
List[List[float]] A matrix of distances where distances[i][j] is the projection distance between xs[i] and ys[j]
Raises
TypeError If inputs contain invalid 2D point representations ValueError If inputs cannot be interpreted as 2D points
Source code in swarmauri_standard/pseudometrics/ProjectionPseudometricR2.py
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check_non_negativity
check_non_negativity(x, y)
Check if the projection pseudometric satisfies the non-negativity property.
Parameters
x : Union[VectorType, MatrixType, Sequence[T], str, Callable] The first 2D point y : Union[VectorType, MatrixType, Sequence[T], str, Callable] The second 2D point
Returns
bool True if d(x,y) ≥ 0, which is always the case for this pseudometric
Source code in swarmauri_standard/pseudometrics/ProjectionPseudometricR2.py
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check_symmetry
check_symmetry(x, y, tolerance=1e-10)
Check if the projection pseudometric satisfies the symmetry property.
Parameters
x : Union[VectorType, MatrixType, Sequence[T], str, Callable] The first 2D point y : Union[VectorType, MatrixType, Sequence[T], str, Callable] The second 2D point tolerance : float, optional The tolerance for floating-point comparisons, by default 1e-10
Returns
bool True if d(x,y) = d(y,x) within tolerance, which is always the case for this pseudometric
Source code in swarmauri_standard/pseudometrics/ProjectionPseudometricR2.py
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check_triangle_inequality
check_triangle_inequality(x, y, z, tolerance=1e-10)
Check if the projection pseudometric satisfies the triangle inequality.
Parameters
x : Union[VectorType, MatrixType, Sequence[T], str, Callable] The first 2D point y : Union[VectorType, MatrixType, Sequence[T], str, Callable] The second 2D point z : Union[VectorType, MatrixType, Sequence[T], str, Callable] The third 2D point tolerance : float, optional The tolerance for floating-point comparisons, by default 1e-10
Returns
bool True if d(x,z) ≤ d(x,y) + d(y,z) within tolerance, which is always the case for this pseudometric
Source code in swarmauri_standard/pseudometrics/ProjectionPseudometricR2.py
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check_weak_identity
check_weak_identity(x, y)
Check if the projection pseudometric satisfies the weak identity property.
In a pseudometric, d(x,y) = 0 is allowed even when x ≠ y. For the projection pseudometric, this happens when two points have the same coordinate on the projection axis but differ in the other coordinate.
Parameters
x : Union[VectorType, MatrixType, Sequence[T], str, Callable] The first 2D point y : Union[VectorType, MatrixType, Sequence[T], str, Callable] The second 2D point
Returns
bool True if the pseudometric correctly handles the weak identity property
Source code in swarmauri_standard/pseudometrics/ProjectionPseudometricR2.py
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register_model
classmethod
register_model()
Decorator to register a base model in the unified registry.
RETURNS | DESCRIPTION |
---|---|
Callable
|
A decorator function that registers the model class.
TYPE:
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Source code in swarmauri_base/DynamicBase.py
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register_type
classmethod
register_type(resource_type=None, type_name=None)
Decorator to register a subtype under one or more base models in the unified registry.
PARAMETER | DESCRIPTION |
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resource_type
|
The base model(s) under which to register the subtype. If None, all direct base classes (except DynamicBase) are used.
TYPE:
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type_name
|
An optional custom type name for the subtype.
TYPE:
|
RETURNS | DESCRIPTION |
---|---|
Callable
|
A decorator function that registers the subtype.
TYPE:
|
Source code in swarmauri_base/DynamicBase.py
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model_validate_toml
classmethod
model_validate_toml(toml_data)
Validate a model from a TOML string.
Source code in swarmauri_base/TomlMixin.py
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model_dump_toml
model_dump_toml(
fields_to_exclude=None, api_key_placeholder=None
)
Return a TOML representation of the model.
Source code in swarmauri_base/TomlMixin.py
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model_validate_yaml
classmethod
model_validate_yaml(yaml_data)
Validate a model from a YAML string.
Source code in swarmauri_base/YamlMixin.py
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model_dump_yaml
model_dump_yaml(
fields_to_exclude=None, api_key_placeholder=None
)
Return a YAML representation of the model.
Source code in swarmauri_base/YamlMixin.py
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model_post_init
model_post_init(logger=None)
Assign a logger instance after model initialization.
Source code in swarmauri_base/LoggerMixin.py
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