diff --git a/examples/segmentation/hidalgo_segmentation.ipynb b/examples/segmentation/hidalgo_segmentation.ipynb index cfa22b8e5c..f4603fc3a4 100644 --- a/examples/segmentation/hidalgo_segmentation.ipynb +++ b/examples/segmentation/hidalgo_segmentation.ipynb @@ -2,46 +2,172 @@ "cells": [ { "cell_type": "markdown", + "metadata": {}, "source": [ - "# Hidalgo segmentation" - ], - "metadata": { - "collapsed": false - } + "# Hidalgo Segmentation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Hidalgo (Heterogeneous Intrinsic Dimensionality Algorithm) is a method for detecting change points in time series data. It identifies segments where statistical properties of the data shift, allowing for better understanding of structural changes in the series. It is particularly useful in applications like anomaly detection, financial market analysis, and sensor monitoring for discriminating regions with different local intrinsic dimensionality.\n", + "\n", + "Hidalgo Segmentation is used for\n", + "\n", + "- **Unsupervised Learning**: Hidalgo does not require labeled data for segmentation, making it suitable for exploratory data analysis.\n", + "- **High-Dimensional Data**: It can handle high-dimensional time series data effectively.\n", + "- **Intrinsic Dimensionality**: By focusing on local intrinsic dimensionality, Hidalgo can identify regions with different complexities within the data.\n", + "\n", + "Applications\n", + "\n", + "- **Change Point Detection**: Identifying points in time where the statistical properties of a time series change.\n", + "- **Anomaly Detection**: Detecting unusual patterns or outliers in time series data.\n", + "- **Feature Extraction**: Segmenting data to extract meaningful features for further analysis or modeling." + ] }, { "cell_type": "code", - "execution_count": 1, - "outputs": [ - { - "data": { - "text/plain": "array([ 1, 1, 1, 1, 1, -1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1,\n 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, -1,\n 1, -1, -1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0,\n 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0],\n dtype=int64)" - }, - "execution_count": 1, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": 50, + "metadata": {}, + "outputs": [], "source": [ "import numpy as np\n", "\n", "from aeon.segmentation import HidalgoSegmenter\n", + "from aeon.visualisation.learning_task._segmentation import (\n", + " plot_series_with_change_points,\n", + ")\n", + "from aeon.visualisation.series._series import plot_series" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1. Generate Synthetic Data\n", "\n", + "We create a synthetic dataset with 100 time points, each having 3 channels. The data is constructed such that the first 60 time points have higher values in the second and third channels, and the remaining time points have lower values." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "metadata": {}, + "outputs": [], + "source": [ "X = np.random.rand(100, 3)\n", "X[:60, 1:] += 10\n", "X[60:, 1:] = 0\n", - "hidalgo = HidalgoSegmenter(K=2, burn_in=0.8, n_iter=1000, seed=10)\n", "\n", - "hidalgo.fit_predict(X, axis=0)" + "time = np.arange(len(X))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 1.2 Visualize Synthetic Data" + ] + }, + { + "cell_type": "code", + "execution_count": 47, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "_ = plot_series(X.T, labels=[\"Channel 0\", \"Channel 1\", \"Channel 2\"])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2. Apply Hidalgo Segmentation" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The `HidalgoSegmenter` is initialized with various parameters that control the behavior of the algorithm. These parameters include the number of manifolds (`K`), local homogeneity level (`zeta`), number of points for local interaction (`q`), number of Gibbs sampling iterations (`n_iter`), and others. These parameters allow to customize the segmentation process according to data and requirements, while the `fit_predict` method is used to fit the Hidalgo model to the data and predict the segmentation labels using Neighborhood Calculation and Gibbs Sampling" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Found change points: [1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1\n", + " 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0\n", + " 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0]\n" + ] + } + ], + "source": [ + "hidalgo = HidalgoSegmenter(K=2, q=3, n_iter=2000, burn_in=0.8, seed=10)\n", + "\n", + "labels = hidalgo.fit_predict(X, axis=0)\n", + "print(\"Found change points:\", labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "### 2.1 Visualize Segmentation Output" + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } ], - "metadata": { - "collapsed": false - } + "source": [ + "_ = plot_series_with_change_points(\n", + " X, np.where(np.diff(labels) != 0)[0], \"Segmentation Result\"\n", + ")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## References\n", + "\n", + "[1] Allegra, Michele, et al. \"Data segmentation based on the local intrinsic dimension.\" [Scientific reports 10.1 (2020): 1-12.](https://www.nature.com/articles/s41598-020-72222-0)" + ] } ], "metadata": { "kernelspec": { - "display_name": "Python 3.9.13 ('aeon-dev')", + "display_name": "Python 3", "language": "python", "name": "python3" }, @@ -55,13 +181,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.9.12" - }, - "orig_nbformat": 4, - "vscode": { - "interpreter": { - "hash": "3672c9971f48dc8b5371767a83a5c009b8758f695819d57d51811323dc5c559e" - } + "version": "3.12.3" } }, "nbformat": 4,