Source code for pumas.aggregation.weighted_harmonic_mean

from typing import Any, Dict, 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 weighted_harmonic_mean(values, weights):
    """
    Computes the weighted harmonic mean of a set of values with corresponding weights.

    .. math::

        H = \\frac{\\sum_{i=1}^{n} w_i}{\\sum_{i=1}^{n} \\frac{w_i}{x_i}}

    Where:
        - :math:`H` is the weighted harmonic mean
        - :math:`x_i` are the values
        - :math:`w_i` are the corresponding weights
        - :math:`n` is the number of observations

    Args:
        values (Iterable): The values to be averaged.
        weights (Iterable): The weights for each value.

    Returns:
         Union[float,UFloat]: Resultant weighted harmonic mean.
    """
    weights = np.array(weights)
    values = np.array(values)
    weighted_reciprocal_sum = np.sum(weights / values)
    total_weight = np.sum(weights)
    result = total_weight / weighted_reciprocal_sum
    return result


def compute_numeric_weighted_harmonic_mean(
    values: List[float], weights: Optional[List[float]] = None
) -> float:
    weights = np.array(weights)
    values = np.array(values)
    weighted_reciprocal_sum = np.sum(weights / values)  # type: ignore
    total_weight = np.sum(weights)
    result = total_weight / weighted_reciprocal_sum
    return float(result)


def compute_ufloat_weighted_harmonic_mean(
    values: List[UFloat], weights: Optional[List[float]] = None
) -> UFloat:
    weights = np.array(weights)
    values = np.array(values)
    weighted_reciprocal_sum = np.sum(weights / values)  # type: ignore
    total_weight = np.sum(weights)
    result = total_weight / weighted_reciprocal_sum
    return result  # type: ignore


[docs] class WeightedHarmonicMeanAggregation(Aggregation): """ Computes the weighted harmonic mean of a set of values with corresponding weights. .. math:: H = \\frac{\\sum_{i=1}^{n} w_i}{\\sum_{i=1}^{n} \\frac{w_i}{x_i}} Where: - :math:`H` is the weighted harmonic mean - :math:`x_i` are the values - :math:`w_i` are the corresponding weights - :math:`n` is the number of observations Example: >>> from pumas.aggregation import aggregation_catalogue >>> aggregator_class = aggregation_catalogue.get("harmonic_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}") 1.94 >>> result = aggregator(values=values, weights=weights) # Same as compute_numeric >>> print(f"{result:.2f}") 1.94 >>> 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) 1.94+/-0.11 """ name = "harmonic_mean" def __init__(self, params: Optional[Dict[str, Any]] = None): super().__init__() self._set_parameter_definitions({}) self._validate_and_set_parameters(params)
[docs] def compute_numeric( self, values: List[Union[float, None]], weights: Optional[List[Union[float, None]]] = None, ) -> float: """ Compute the weighted harmonic mean for uncertain float input values. Args: values (List[float]): 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 harmonic mean with uncertainty. """ # noqa: E501 new_values, new_weights = run_data_validation_pipeline( values=values, weights=weights ) return compute_numeric_weighted_harmonic_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 harmonic 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 harmonic mean with uncertainty. """ # noqa: E501 new_values, new_weights = run_data_validation_pipeline( values=values, weights=weights ) return compute_ufloat_weighted_harmonic_mean( values=new_values, weights=new_weights )
__call__ = compute_numeric