Source code for pumas.aggregation.weighted_arithmetic_mean
from typing import List, Optional, Union
import numpy as np
from pumas.aggregation.aggregation_utils import run_data_validation_pipeline
from pumas.aggregation.base_models import Aggregation
from pumas.uncertainty_management.uncertainties.uncertainties_wrapper import UFloat
def compute_numeric_weighted_arithmetic_mean(
values: List[float], weights: Optional[List[float]] = None
) -> float:
weighted_sum = np.sum(np.multiply(values, weights))
total_weight = np.sum(weights)
result: float = weighted_sum / total_weight
return float(result)
def compute_ufloat_weighted_arithmetic_mean(
values: List[UFloat], weights: Optional[List[float]] = None
) -> UFloat:
weighted_sum = np.sum(np.multiply(values, weights))
total_weight = np.sum(weights)
result: UFloat = weighted_sum / total_weight
return result
[docs]
class WeightedArithmeticMeanAggregation(Aggregation):
"""
Computes the weighted arithmetic mean of a set of values with corresponding weights.
.. math::
A = \\frac{\\sum_{i=1}^{n}{w_i x_i}}{\\sum_{i=1}^{n}{w_i}}
Where:
- :math:`A` is the weighted arithmetic mean
- :math:`x_i` is each value in the values array
- :math:`w_i` is the weight corresponding to each value :math:`x_i`
- :math:`n` is the number of elements in values and weights arrays
Usage Example:
>>> from pumas.aggregation import aggregation_catalogue
>>> aggregator_class = aggregation_catalogue.get("arithmetic_mean")
>>> aggregator = aggregator_class()
>>> values = [1.0, 2.0, 3.0]
>>> weights = [0.2, 0.3, 0.5]
>>> result = aggregator.compute_numeric(values=values, weights=weights)
>>> print(f"{result:.2f}")
2.30
>>> result = aggregator(values=values, weights=weights) # Same as compute_numeric
>>> print(f"{result:.2f}")
2.30
>>> from uncertainties import ufloat
>>> values = [ufloat(1.0, 0.1), ufloat(2.0, 0.2), ufloat(3.0, 0.3)]
>>> weights = [0.2, 0.3, 0.5]
>>> result = aggregator.compute_ufloat(values=values, weights=weights)
>>> print(result)
2.30+/-0.16
"""
name = "arithmetic_mean"
[docs]
def compute_numeric(
self,
values: List[Union[float, None]],
weights: Optional[List[Union[float, None]]] = None,
) -> float:
"""
Compute the weighted arithmetic mean for uncertain float input values.
Args:
values (List[float]): The list of numeric values to be aggregated.
weights (Optional[List[float]]): The list of weights corresponding to each value.
If None, equal weights are assumed.
Returns:
float: The computed weighted summation with uncertainty.
""" # noqa: E501
new_values, new_weights = run_data_validation_pipeline(
values=values, weights=weights
)
return compute_numeric_weighted_arithmetic_mean(
values=new_values, weights=new_weights
)
[docs]
def compute_ufloat(
self,
values: List[Union[UFloat, None]],
weights: Optional[List[Union[float, None]]] = None,
) -> UFloat:
"""
Compute the weighted arithmetic mean for uncertain float input values.
Args:
values (List[UFloat]): The list of uncertain float values to be aggregated.
weights (Optional[List[float]]): The list of weights corresponding to each value.
If None, equal weights are assumed.
Returns:
UFloat: The computed weighted summation with uncertainty.
""" # noqa: E501
new_values, new_weights = run_data_validation_pipeline(
values=values, weights=weights
)
return compute_ufloat_weighted_arithmetic_mean(
values=new_values, weights=new_weights
)
__call__ = compute_numeric