{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Time Series Clustering with Topological Data Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "_Created by:_ Philipp Weiler and Lewis Tunstall, December 2019.\n", "\n", "_Blog post:_ https://towardsdatascience.com/the-shape-of-population-dynamics-ba70f253919f\n", "\n", "\n", "This notebook explores the application of topological data analysis (TDA) for time series clustering. We partially follow ideas presented in a paper by Pereira and de Mello in 2015.\n", "The TDA features are extracted with the help of gitto-learn, an open-source Python library designed for integrating TDA within the scikit-learn framework.\n", "\n", "## Beetle dynamics\n", "Here, we aim to cluster two different time series that describe the population of the [_Tribolium_ flour beetle](https://en.wikipedia.org/wiki/Red_flour_beetle). The beetle's life cycle consists of larva, pupa, and adult stages, with the transition between each stage lasting two weeks. Following Costantino, Cushing, Dennis and Desharnais, we can describe the dynamics of the beetle population using the following difference equation:\n", "\n", "$$\n", "\\begin{equation}\n", " \\begin{aligned}\n", " L_{t + 1} &= b A_t e^{E_{1, t} -c_{ea} A_t - c_{el} L_t}\\\\\n", " P_{t + 1} &= L_t (1 - \\mu_l) e^{E_{2, t}}\\\\\n", " A_{t + 1} &= [P_t e^{-c_{pa} A_t} + A_t (1 - \\mu_a)]e^{E_{3, t}}\n", " \\end{aligned}\n", " \\tag{1}\n", " \\label{eq: BeetleEq}\n", "\\end{equation}\n", "$$\n", "\n", "Here, $L_t, P_t$ and $A_t$ denote the number of larvae, pupae and adults at time $t$, while $\\mu_l$ and $\\mu_a$ denote the fraction of larvae and pupae that dies. _Tribolium_ flour beetles become cold-hearted in face of overpopulation as they turn cannibalistic by eating unhatched eggs and pupae. This behaviour was modeled probabilistcally with the terms $exp(-c_{ea}A_t)$ and $exp(-c_{el}L_t)$. The probability of surviving this massacre from pupa to adult stage is given by $exp(-c_{pa}A_t)$. To incorporate for example environmental uncertainty, we include multivariate normally distributed noise $E_{1, t}, E_{2, t}$ and $E_{3, t}$ with mean zero and common standard deviation $\\sigma$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Import libraries" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# data wrangling\n", "import pandas as pd\n", "import numpy as np\n", "from fastprogress import progress_bar\n", "from pathlib import Path\n", "from beetles_tda.generate_data import simulate_data\n", "\n", "# tda magic\n", "import giotto as gt\n", "import giotto.time_series as ts\n", "import giotto.homology as hl\n", "from giotto.pipeline import Pipeline\n", "from beetles_tda.features import get_amplitude, get_max_lifetime, get_mean_lifetime, get_n_rel_holes\n", "\n", "# data viz\n", "from beetles_tda.visualize import plot_diagram, plot_time_series\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "\n", "sns.set()\n", "\n", "# ml tools\n", "from sklearn.model_selection import train_test_split\n", "from beetles_tda.train import fit_and_score_model\n", "from sklearn.metrics import confusion_matrix" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Generate and load data\n", "In the `generate_data.py` script we have implemented the dynamical equations describing the evolution of the _Tribolium_ flour beetle population. Each time step corresponds to two weeks and depending on the chosen values for $b, c_{ea}, c_{el}, c_{pa}, \\mu_l$, and $\\mu_a$ the system is driven towards either a _**stable steady state**_ or _**aperiodic behavior**_.\n", "\n", "By running the script below, we simulate the population dynamics for 120 time steps overall 200 times for both the stable as well as aperiodic behavior. For each time series, the initial state of the system is instantiated with integers drawn randomly from the interval $[2, 100]$; the noise is generated at random as well." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# config parameters\n", "n_steps = 120\n", "n_series = 200\n", "\n", "args_stable = {\n", " \"b\": 7.48,\n", " \"c_ea\": 0.009,\n", " \"c_pa\": 0.004,\n", " \"c_el\": 0.012,\n", " \"mu_a\": 0.73,\n", " \"mu_l\": 0.267,\n", "}\n", "\n", "args_aperiodic = {\n", " \"b\": 11.68,\n", " \"c_ea\": 0.009,\n", " \"c_pa\": 0.004,\n", " \"c_el\": 0.012,\n", " \"mu_a\": 0.96,\n", " \"mu_l\": 0.267,\n", "}" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "%run beetles_tda/generate_data.py fixed_noise \\\n", " --n_steps {n_steps} --n_series {n_series} \\\n", " --args_stable '{args_stable}' --args_aperiodic '{args_aperiodic}'" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "population_data.pkl\n" ] } ], "source": [ "DATA = Path('data/')\n", "!ls {DATA}" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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larvaepupaeadultsseries_idtype
038.70493295.17000273.7354060stable
1178.30712528.15419190.1620990stable
235.280726129.11586242.5284250stable
3141.91349126.140749118.0767900stable
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\n", "
" ], "text/plain": [ " larvae pupae adults series_id type\n", "0 38.704932 95.170002 73.735406 0 stable\n", "1 178.307125 28.154191 90.162099 0 stable\n", "2 35.280726 129.115862 42.528425 0 stable\n", "3 141.913491 26.140749 118.076790 0 stable\n", "4 55.611714 103.009010 47.749613 0 stable" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = pd.read_pickle(DATA/'population_data.pkl'); data.head()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(48400, 5)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Explore the data\n", "By construction we generate an equal quantity of stable and aperiodic time series; let's check that this is indeed the case:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "aperiodic 24200\n", "stable 24200\n", "Name: type, dtype: int64" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data['type'].value_counts()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next let us visually compare how the different behaviours are exhbited in the time series:" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_time_series(data=data, series_id=42, n_steps=n_steps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Evidently there is a clear visual difference between the stable and aperiodic behaviours - let's see if we can cluster the time series using TDA features with traditional clustering algorithms!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Clustering\n", "\n", "## Generate labels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we generate the labels for the two different time series ($1$ for aperiodic, $0$ for stable) and split the data into train and test set." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "y_true = np.repeat([1, 0], n_series)\n", "\n", "id_train, id_test, y_train, y_test = train_test_split(\n", " range(2 * n_series), y_true, train_size=0.7, random_state=0\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Naive approach" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As a simple baseline, we take the raw time series data describing the adult popultation of _Tribolium_ flour beetle and use k-means to cluster it. To measure the performance, we calculate the [homogeneity score](https://scikit-learn.org/stable/modules/generated/sklearn.metrics.homogeneity_score.html). This score is useful to check whether the clusters only samples belonging to a single class and takes values in the range [0,1], where low values indicate low homogeneity." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Homogeneity score (training): 0.42029944862990926\n", "Homogeneity score (test): 0.43107891041790375\n" ] } ], "source": [ "X_naive = data[\"adults\"].values.reshape((2 * n_series, -1))\n", "fit_and_score_model(X_naive, y_train, y_test, id_train, id_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see from the scores, using only the raw time series does not provide a satisfying clustering. Let's turn to TDA next to try to improve the performance!" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## TDA Approach" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As explained in the accompanying blog post, applying TDA to time series involves several steps that are summarised here:\n", "\n", "1. Embed the time series using Takens' embedding into a higher dimensional space. \n", "2. Use the Vietoris-Rips filtration to calculate the persistence diagrams.\n", "3. Scale and filter the diagrams.\n", "\n", "These steps can be conveniently combined via the `Pipeline` [class](https://docs.giotto.ai/generated/giotto.pipeline.Pipeline.html#giotto.pipeline.Pipeline) from `giotto-learn`." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Configuration parameters for pipeline" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "parameters_type = \"fixed\"\n", "embedding_dimension = 2\n", "embedding_time_delay = 3\n", "n_jobs = 1\n", "\n", "window_width = X_naive.shape[1] - ((embedding_dimension - 1) * embedding_time_delay + 1)\n", "window_stride = 1\n", "\n", "metric = \"euclidean\"\n", "max_edge_length = 10\n", "homology_dimensions = [0, 1]\n", "\n", "epsilon = 0.0" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Define pipeline" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "steps = [\n", " (\n", " \"embedding\",\n", " ts.TakensEmbedding(\n", " parameters_type=parameters_type,\n", " dimension=embedding_dimension,\n", " time_delay=embedding_time_delay,\n", " n_jobs=n_jobs,\n", " ),\n", " ),\n", " (\"window\", ts.SlidingWindow(width=window_width, stride=1)),\n", " (\n", " \"diagrams\",\n", " hl.VietorisRipsPersistence(\n", " metric=metric,\n", " max_edge_length=max_edge_length,\n", " homology_dimensions=homology_dimensions,\n", " n_jobs=n_jobs,\n", " ),\n", " ),\n", " (\"diagrams_scaler\", diag.Scaler()),\n", " (\"diagrams_filter\", diag.Filtering(epsilon=epsilon)),\n", "]\n", "\n", "pipeline = Pipeline(steps)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Run pipeline\n", "Let's group the time series data in terms of stable vs. aperiodic and calculate the persistence diagrams associated with each one. Since we have 200 times series per group, we expect 400 persistence diagrams." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "grouped_data = data.groupby(['type', 'series_id'])" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [400/400 00:02<00:00]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X_filtered = []\n", "for name, _ in progress_bar(grouped_data):\n", " X_filtered.append(\n", " pipeline.fit_transform(grouped_data.get_group(name)[\"adults\"].values)\n", " )" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "400" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# number of diagrams should be 400\n", "len(X_filtered)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Plot the persistence diagram\n", "Next let's plot two persistence diagrams, one from the stable case, another from the aperiodic" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# aperiodic diagram\n", "plot_diagram(X_filtered[-1][0])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Functions for Feature Creation\n", "\n", "Looking at persistence diagrams of our two cases, we see some differences. To capture these, we decide to calculate:\n", "1. The mean lifetime of the holes per dimension\n", "2. The number of holes per dimension\n", "3. The number of holes that \"survive\" longer than a given threshold. We choose it as a fraction of the maximum lifetime of holes in the dimension,\n", "4. The maximum lifetime of the holes per dimension\n", "5. The amplitude of the diagram" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We have implemented these functions in `features.py` to extract these features from the persistence diagram." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### TDA feature creation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We run the pipeline for each time series and create the corresponding features" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "# threshold to determine whether a hole is relevant or not\n", "frac = 0.7" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/html": [ "\n", "
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\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "features = []\n", "for name, _ in progress_bar(grouped_data):\n", " X_filtered = pipeline.fit_transform(grouped_data.get_group(name)[\"adults\"].values)\n", " n_windows, n_points, _ = X_filtered.shape\n", "\n", " features.append(\n", " get_mean_lifetime(X_filtered, n_windows, n_points)\n", " + get_n_rel_holes(X_filtered, n_windows, n_points, frac=frac)\n", " + get_n_rel_holes(X_filtered, n_windows, n_points, frac=0.0)\n", " + get_max_lifetime(X_filtered, n_windows, n_points)\n", " + get_amplitude(X_filtered)\n", " )" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Clustering" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we perform clustering with the TDA features and calculate the homogeneity scores:" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Homogeneity score (training): 0.9692483881602528\n", "Homogeneity score (test): 0.9391555049212249\n" ] } ], "source": [ "X_tda = np.array(features)\n", "fit_and_score_model(X_tda, y_train, y_test, id_train, id_test)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "It works! We see that compared with the our baseline clustering approach, the TDA features have provided a dramatic boost in enabling the clustering algorithm to distinguish between the two stable and aperiodic dynamics." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Effect of noise on performance" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the analysis above, the effect of environmental noise was held fixed. Here we examine how the performance changes when increase the noise. The script below takes approximately 30 minutes to run on a modern laptop, so for convenience we provide the pre-generated data and performance metrics." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "# uncomment to generate data from scratch\n", "# %run beetles_tda/generate_data.py varying_noise \\\n", "# --n_steps {n_steps} --n_series {n_series} \\\n", "# --args_stable '{args_stable}' --args_aperiodic '{args_aperiodic}'" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load pre-generated data and performance metrics" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "with open('models/performance_metrics_train.pkl', 'rb') as file:\n", " perf_train = pickle.load(file)\n", "\n", "with open('models/performance_metrics_test.pkl', 'rb') as file:\n", " perf_test = pickle.load(file)" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TypeMean Standard Deviation of NoiseScore
0Classic0.00.290024
1TDA0.00.871667
2Classic0.00.279401
3TDA0.00.906232
4Classic0.00.300826
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" ], "text/plain": [ " Type Mean Standard Deviation of Noise Score\n", "0 Classic 0.0 0.290024\n", "1 TDA 0.0 0.871667\n", "2 Classic 0.0 0.279401\n", "3 TDA 0.0 0.906232\n", "4 Classic 0.0 0.300826" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "perf_train.head()" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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TypeMean Standard Deviation of NoiseScore
0Classic0.00.295676
1TDA0.00.937960
2Classic0.00.282183
3TDA0.00.832390
4Classic0.00.323490
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" ], "text/plain": [ " Type Mean Standard Deviation of Noise Score\n", "0 Classic 0.0 0.295676\n", "1 TDA 0.0 0.937960\n", "2 Classic 0.0 0.282183\n", "3 TDA 0.0 0.832390\n", "4 Classic 0.0 0.323490" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "perf_test.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compare performance on train and test sets" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(1, 2, figsize=(16,10))\n", "\n", "(\n", " sns.lineplot(\n", " x=\"Mean Standard Deviation of Noise\",\n", " y=\"Score\",\n", " hue=\"Type\",\n", " style=\"Type\",\n", " markers=True,\n", " dashes=False,\n", " data=perf_train,\n", " ax=ax[0],\n", " ).set_title(\"Homogeneity Score - Training\")\n", ")\n", "(\n", " sns.lineplot(\n", " x=\"Mean Standard Deviation of Noise\",\n", " y=\"Score\",\n", " hue=\"Type\",\n", " style=\"Type\",\n", " markers=True,\n", " dashes=False,\n", " data=perf_test,\n", " ax=ax[1],\n", " ).set_title(\"Homogeneity Score - Testing\")\n", ")\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the plots we that the TDA approach outperforms the naive one. Initially, the performance of both approaches decreases as the noise level increases. In particular, the naive approach completely fails to cluster the data for mean standard deviations larger than $0.4$. In contrast, the TDA approach performance increases above this point and is able to distinguish between the two types of time series, despite the fact that the noise tends to wash out the structure in the two types of series.\n", "\n", "We can see this explicitly by visually comparing the two time series at different noise levels." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise = .01\n", "std = .01\n", "data_low_noise = simulate_data(noise, std, n_steps, n_series, args_stable, args_aperiodic)\n", "\n", "plot_time_series(data_low_noise, 0, n_steps)" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "noise = 1.5\n", "std = .01\n", "data_high_noise = simulate_data(noise, std, n_steps, n_series, args_stable, args_aperiodic)\n", "\n", "plot_time_series(data_high_noise, 0, n_steps)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.5" } }, "nbformat": 4, "nbformat_minor": 4 }