Source code for cosinorage.features.utils.rescaling
###########################################################################
# Copyright (C) 2025 ETH Zurich
# CosinorAge: Prediction of biological age based on accelerometer data
# using the CosinorAge method proposed by Shim, Fleisch and Barata
# (https://www.nature.com/articles/s41746-024-01111-x)
#
# Authors: Jacob Leo Oskar Hunecke
#
# Licensed under the Apache License, Version 2.0 (the "License");
# you may not use this file except in compliance with the License.
# You may obtain a copy of the License at
#
# http://www.apache.org/licenses/LICENSE-2.0
#
# Unless required by applicable law or agreed to in writing, software
# distributed under the License is distributed on an "AS IS" BASIS,
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
# See the License for the specific language governing permissions and
# limitations under the License.
##########################################################################
import numpy as np
import pandas as pd
[docs]
def min_max_scaling_exclude_outliers(data, upper_quantile=0.999):
"""
Scales the data using min-max scaling to a [0,100] range, excluding outliers based on quantiles.
This function applies min-max scaling to normalize data to a [0,100] range while
using robust bounds that exclude extreme outliers. Values above the upper quantile
threshold are not excluded from the final result but may exceed 100.
Parameters
----------
data : pd.Series or np.ndarray
Input data to be scaled. Can be either a pandas Series or numpy array of numeric values.
upper_quantile : float, default=0.999
Upper quantile threshold for excluding outliers when calculating min/max bounds.
Defaults to 0.999 (99.9th percentile).
Returns
-------
pd.Series
Scaled data with values generally ranging from 0 to 100.
Notes
-----
- If input contains all identical values, returns zeros
- Values above the upper_quantile may exceed 100 in the output
- Output maintains the same length as input
Raises
------
ValueError
If input data is empty.
Notes
-----
- Uses quantile-based outlier detection for robust scaling
- Applies min-max scaling: (x - min) / (max - min) * 100
- Handles edge cases like constant data and zero division
- Preserves outliers in output but uses robust bounds for scaling
- Useful for normalizing accelerometer data while handling extreme values
Examples
--------
>>> import pandas as pd
>>> import numpy as np
>>>
>>> # Example with normal data
>>> data = pd.Series([1, 2, 3, 4, 5])
>>> scaled = min_max_scaling_exclude_outliers(data)
>>> print(scaled)
>>> # Output: [0.0, 25.0, 50.0, 75.0, 100.0]
>>>
>>> # Example with outliers
>>> data_with_outliers = pd.Series([1, 2, 3, 100])
>>> scaled = min_max_scaling_exclude_outliers(data_with_outliers, upper_quantile=0.75)
>>> print(scaled)
>>> # Output: [0.0, 50.0, 100.0, 4950.0] (outlier exceeds 100)
>>>
>>> # Example with constant data
>>> constant_data = pd.Series([5, 5, 5, 5])
>>> scaled = min_max_scaling_exclude_outliers(constant_data)
>>> print(scaled)
>>> # Output: [0.0, 0.0, 0.0, 0.0]
"""
# Convert to pandas Series if input is numpy array
if isinstance(data, np.ndarray):
data = pd.Series(data)
# Check for empty input
if len(data) == 0:
raise ValueError("Input data cannot be empty")
# Handle single value or constant values
if len(data.unique()) == 1:
return pd.Series(np.zeros(len(data)))
# Calculate the upper bound based on quantiles
upper_bound = data.quantile(upper_quantile)
# Filter data to exclude outliers
filtered_data = data[data <= upper_bound]
# Calculate min and max of the filtered data
min_val = filtered_data.min()
max_val = filtered_data.max()
# Handle zero division case
if max_val == min_val:
return pd.Series(np.zeros(len(data)))
# Apply min-max scaling to [0,100] - outliers may overshoot
scaled_data = 100 * (data - min_val) / (max_val - min_val)
return scaled_data