Class swarmauri_standard.seminorms.ZeroSeminorm.ZeroSeminorm
swarmauri_standard.seminorms.ZeroSeminorm.ZeroSeminorm
Bases: SeminormBase
Trivial seminorm that assigns zero to all inputs.
This class implements a degenerate seminorm that returns 0 for any input. While it satisfies the formal requirements of a seminorm (non-negativity, triangle inequality, and scalar homogeneity), it does not separate points and is therefore not useful for most practical applications.
Attributes
type : Literal["ZeroSeminorm"] The type identifier for this class
type
class-attribute
instance-attribute
type = 'ZeroSeminorm'
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, which is always 0.
Parameters
x : InputType The input to compute the seminorm for. Can be a vector, matrix, sequence, string, or callable.
Returns
float Always returns 0.0
Source code in swarmauri_standard/seminorms/ZeroSeminorm.py
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check_triangle_inequality
check_triangle_inequality(x, y)
Check if the triangle inequality property holds for the given inputs.
For ZeroSeminorm, the triangle inequality is always satisfied since: ||x + y|| = 0 ≤ ||x|| + ||y|| = 0 + 0 = 0
Parameters
x : InputType First input to check y : InputType Second input to check
Returns
bool Always returns True as the triangle inequality is trivially satisfied
Source code in swarmauri_standard/seminorms/ZeroSeminorm.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.
For ZeroSeminorm, scalar homogeneity is always satisfied since: ||αx|| = 0 = |α|·||x|| = |α|·0 = 0
Parameters
x : InputType The input to check alpha : T The scalar to multiply by
Returns
bool Always returns True as scalar homogeneity is trivially satisfied
Source code in swarmauri_standard/seminorms/ZeroSeminorm.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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