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