Class swarmauri_base.seminorms.SeminormBase.SeminormBase
swarmauri_base.seminorms.SeminormBase.SeminormBase
Bases: ISeminorm
, ComponentBase
Base class providing tools for evaluating seminorms in partial vector spaces.
This class provides reusable logic for defining seminorms and implements the ISeminorm interface. Concrete implementations should override the abstract methods to provide specific seminorm behavior.
A seminorm is a function that assigns a non-negative length or size to vectors in a vector space, satisfying the properties of non-negativity, triangle inequality, and scalar homogeneity.
type
class-attribute
instance-attribute
type = 'ComponentBase'
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'
compute
compute(x)
Compute the seminorm of the input.
Parameters
x : InputType The input to compute the seminorm for. Can be a vector, matrix, sequence, string, or callable.
Returns
float The seminorm value (non-negative real number)
Raises
TypeError If the input type is not supported ValueError If the computation cannot be performed on the given input NotImplementedError This method must be implemented by subclasses
Source code in swarmauri_base/seminorms/SeminormBase.py
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check_triangle_inequality
check_triangle_inequality(x, y)
Check if the triangle inequality property holds for the given inputs.
The triangle inequality states that: ||x + y|| ≤ ||x|| + ||y||
Parameters
x : InputType First input to check y : InputType Second input to check
Returns
bool True if the triangle inequality holds, False otherwise
Raises
TypeError If the input types are not supported or compatible ValueError If the check cannot be performed on the given inputs NotImplementedError This method must be implemented by subclasses
Source code in swarmauri_base/seminorms/SeminormBase.py
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check_scalar_homogeneity
check_scalar_homogeneity(x, alpha)
Check if the scalar homogeneity property holds for the given input and scalar.
The scalar homogeneity states that: ||αx|| = |α|·||x||
Parameters
x : InputType The input to check alpha : T The scalar to multiply by
Returns
bool True if scalar homogeneity holds, False otherwise
Raises
TypeError If the input type is not supported ValueError If the check cannot be performed on the given input NotImplementedError This method must be implemented by subclasses
Source code in swarmauri_base/seminorms/SeminormBase.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:
|
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 |
---|---|
resource_type
|
The base model(s) under which to register the subtype. If None, all direct base classes (except DynamicBase) are used.
TYPE:
|
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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