{ "cells": [ { "cell_type": "markdown", "id": "a179cd16ae91dee3", "metadata": {}, "source": [ "# Anomaly Detection\n", "\n", "This notebook shows some basic usage of CapyMOA for anomaly detection tasks.\n", "\n", "Algorithms: `HalfSpaceTrees`, `Autoencoder` and `Online Isolation Forest`\n", "\n", "Important notes: Prior to version 0.8.2, a lower anomaly score indicated a higher likelihood of an anomaly. This has been updated so that a higher anomaly score now indicates a higher likelihood of an anomaly, aligning with the standard anomaly detection literature.\n", "\n", "---\n", "\n", "*More information about CapyMOA can be found at* https://www.capymoa.org.\n", "\n", "**last update on 28/11/2025**" ] }, { "cell_type": "markdown", "id": "b4b151a3", "metadata": {}, "source": [ "## 1. Creating simple anomalous data with `sklearn`\n", "\n", "* Generating a few examples and some simple anomalous data using `sklearn`." ] }, { "cell_type": "code", "execution_count": 1, "id": "262e3e44", "metadata": { "ExecuteTime": { "end_time": "2025-01-10T05:04:17.361762Z", "start_time": "2025-01-10T05:04:13.881120Z" }, "execution": { "iopub.execute_input": "2024-09-23T00:32:30.428385Z", "iopub.status.busy": "2024-09-23T00:32:30.427752Z", "iopub.status.idle": "2024-09-23T00:32:32.474012Z", "shell.execute_reply": "2024-09-23T00:32:32.473534Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "from sklearn.datasets import make_blobs\n", "import matplotlib.pyplot as plt\n", "from capymoa.stream import NumpyStream\n", "\n", "# generate normal data points\n", "n_samples = 10000\n", "n_features = 2\n", "n_clusters = 3\n", "X, y = make_blobs(\n", " n_samples=n_samples, n_features=n_features, centers=n_clusters, random_state=42\n", ")\n", "\n", "# generate anomalous data points\n", "n_anomalies = 100 # the anomaly rate is 1%\n", "anomalies = np.random.uniform(low=-10, high=10, size=(n_anomalies, n_features))\n", "\n", "# combine the normal data points with anomalies\n", "X = np.vstack([X, anomalies])\n", "y = np.hstack([y, [1] * n_anomalies]) # Label anomalies with 1\n", "y[:n_samples] = 0 # Label normal points with 0\n", "\n", "# shuffle the data\n", "idx = np.random.permutation(n_samples + n_anomalies)\n", "X = X[idx]\n", "y = y[idx]\n", "\n", "plt.scatter(X[:, 0], X[:, 1], c=y, cmap=\"viridis\")\n", "plt.show()\n", "\n", "# create a NumpyStream from the combined dataset\n", "feature_names = [f\"feature_{i}\" for i in range(n_features)]\n", "target_name = \"class\"" ] }, { "cell_type": "markdown", "id": "c190066b9765a7e7", "metadata": {}, "source": [ "## 2. Unsupervised anomaly detection for data streams\n", "\n", "* Recent research has been focused on unsupervised anomaly detection for data streams, as it is often difficult to obtain labeled data for training.\n", "* Instead of using evaluation functions, we first use a basic **test-then-train loop** from scratch to evaluate the model's performance.\n", "* Please note that higher scores indicate higher anomaly likelihood." ] }, { "cell_type": "code", "execution_count": 2, "id": "8f7fd1e84afbb8a9", "metadata": { "ExecuteTime": { "end_time": "2025-01-10T05:04:18.835652Z", "start_time": "2025-01-10T05:04:17.418416Z" }, "execution": { "iopub.execute_input": "2024-09-23T00:32:32.475795Z", "iopub.status.busy": "2024-09-23T00:32:32.475616Z", "iopub.status.idle": "2024-09-23T00:32:33.435949Z", "shell.execute_reply": "2024-09-23T00:32:33.435465Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC: 0.95\n" ] } ], "source": [ "from capymoa.anomaly import HalfSpaceTrees\n", "from capymoa.evaluation import AnomalyDetectionEvaluator\n", "\n", "stream_ad = NumpyStream(\n", " X,\n", " y,\n", " dataset_name=\"AnomalyDetectionDataset\",\n", " feature_names=feature_names,\n", " target_name=target_name,\n", " target_type=\"categorical\",\n", ")\n", "learner = HalfSpaceTrees(stream_ad.get_schema())\n", "evaluator = AnomalyDetectionEvaluator(stream_ad.get_schema())\n", "while stream_ad.has_more_instances():\n", " instance = stream_ad.next_instance()\n", " score = learner.score_instance(instance)\n", " evaluator.update(instance.y_index, score)\n", " learner.train(instance)\n", "\n", "auc = evaluator.auc()\n", "print(f\"AUC: {auc:.2f}\")" ] }, { "cell_type": "markdown", "id": "3fd96042", "metadata": {}, "source": [ "## 3. High-level evaluation functions\n", "\n", "* CapyMOA provides `prequential_evaluation_anomaly` as a high level function to assess anomaly detectors." ] }, { "cell_type": "markdown", "id": "5a905343", "metadata": {}, "source": [ "### 3.1 `prequential_evaluation_anomaly`\n", "In this example, we use the `prequential_evaluation_anomaly` function with `plot_windowed_results` to plot AUC for HalfSpaceTrees on the synthetic data stream." ] }, { "cell_type": "code", "execution_count": 3, "id": "06b462e8", "metadata": { "ExecuteTime": { "end_time": "2025-01-10T05:04:20.213970Z", "start_time": "2025-01-10T05:04:18.903109Z" }, "execution": { "iopub.execute_input": "2024-09-23T00:32:33.437850Z", "iopub.status.busy": "2024-09-23T00:32:33.437648Z", "iopub.status.idle": "2024-09-23T00:32:34.628764Z", "shell.execute_reply": "2024-09-23T00:32:34.628272Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC: 0.948493\n" ] }, { "data": { "text/html": [ "
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instancesaucs_aucAccuracyKappaPeriodical holdout AUCPos/Neg ratioG-MeanRecallKappaM
01000.00.8746630.1827110.0640.0013320.0000000.0121460.2294161.0-77.000000
12000.00.9616080.2109840.0050.0000000.8746630.0050250.0000001.0-116.058824
23000.00.9685390.2188270.0120.0000000.9616080.0121460.0000001.0-101.206897
34000.00.9515150.2179910.0100.0000000.9685390.0101010.0000001.0-100.538462
45000.00.9641960.1886220.0150.0000000.9515150.0152280.0000001.0-90.203704
56000.00.9921610.2125830.0050.0000000.9641960.0050250.0000001.0-100.186441
67000.00.9582680.2054800.0110.0000000.9921610.0111220.0000001.0-97.900000
78000.00.9534880.2100550.0110.0000000.9582680.0111220.0000001.0-96.679012
89000.00.9332160.1683990.0080.0000000.9534880.0080650.0000001.0-99.314607
910000.00.9817080.2148610.0110.0000000.9332160.0111220.0000001.0-97.900000
1010100.00.9809730.2136110.0110.0000000.9817080.0111220.0000001.0-98.889000
\n", "
" ], "text/plain": [ " instances auc s_auc Accuracy Kappa Periodical holdout AUC \\\n", "0 1000.0 0.874663 0.182711 0.064 0.001332 0.000000 \n", "1 2000.0 0.961608 0.210984 0.005 0.000000 0.874663 \n", "2 3000.0 0.968539 0.218827 0.012 0.000000 0.961608 \n", "3 4000.0 0.951515 0.217991 0.010 0.000000 0.968539 \n", "4 5000.0 0.964196 0.188622 0.015 0.000000 0.951515 \n", "5 6000.0 0.992161 0.212583 0.005 0.000000 0.964196 \n", "6 7000.0 0.958268 0.205480 0.011 0.000000 0.992161 \n", "7 8000.0 0.953488 0.210055 0.011 0.000000 0.958268 \n", "8 9000.0 0.933216 0.168399 0.008 0.000000 0.953488 \n", "9 10000.0 0.981708 0.214861 0.011 0.000000 0.933216 \n", "10 10100.0 0.980973 0.213611 0.011 0.000000 0.981708 \n", "\n", " Pos/Neg ratio G-Mean Recall KappaM \n", "0 0.012146 0.229416 1.0 -77.000000 \n", "1 0.005025 0.000000 1.0 -116.058824 \n", "2 0.012146 0.000000 1.0 -101.206897 \n", "3 0.010101 0.000000 1.0 -100.538462 \n", "4 0.015228 0.000000 1.0 -90.203704 \n", "5 0.005025 0.000000 1.0 -100.186441 \n", "6 0.011122 0.000000 1.0 -97.900000 \n", "7 0.011122 0.000000 1.0 -96.679012 \n", "8 0.008065 0.000000 1.0 -99.314607 \n", "9 0.011122 0.000000 1.0 -97.900000 \n", "10 0.011122 0.000000 1.0 -98.889000 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from capymoa.evaluation.visualization import plot_windowed_results\n", "from capymoa.anomaly import HalfSpaceTrees\n", "from capymoa.evaluation import prequential_evaluation_anomaly\n", "\n", "stream_ad = NumpyStream(\n", " X,\n", " y,\n", " dataset_name=\"AnomalyDetectionDataset\",\n", " feature_names=feature_names,\n", " target_name=target_name,\n", " target_type=\"categorical\",\n", ")\n", "hst = HalfSpaceTrees(schema=stream_ad.get_schema())\n", "\n", "results_hst = prequential_evaluation_anomaly(\n", " stream=stream_ad, learner=hst, window_size=1000\n", ")\n", "\n", "print(f\"AUC: {results_hst.auc()}\")\n", "display(results_hst.windowed.metrics_per_window())\n", "plot_windowed_results(results_hst, metric=\"auc\", save_only=False)" ] }, { "cell_type": "markdown", "id": "b5ce2efc-b595-4f6d-8b6c-d2dbcc01e527", "metadata": {}, "source": [ "### 3.2 Autoencoder" ] }, { "cell_type": "code", "execution_count": 4, "id": "63fd40e2-4c23-46bd-beb0-044a23b91447", "metadata": { "ExecuteTime": { "end_time": "2025-01-10T05:04:25.849045Z", "start_time": "2025-01-10T05:04:20.303766Z" }, "execution": { "iopub.execute_input": "2024-09-23T00:32:34.630642Z", "iopub.status.busy": "2024-09-23T00:32:34.630439Z", "iopub.status.idle": "2024-09-23T00:32:40.681237Z", "shell.execute_reply": "2024-09-23T00:32:40.680753Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC: 0.562556\n" ] }, { "data": { "text/html": [ "
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instancesaucs_aucAccuracyKappaPeriodical holdout AUCPos/Neg ratioG-MeanRecallKappaM
01000.00.6083841.089317e-040.987-0.0018500.0000000.0121460.0000000.0-0.083333
12000.00.6494475.898215e-060.994-0.0016690.6083840.0050250.0000000.00.294118
23000.00.5883105.939977e-030.987-0.0018500.6494470.0121460.0000000.0-0.344828
34000.00.5347475.589712e-020.9910.1803280.5883100.0101010.3162280.10.076923
45000.00.4588838.677773e-040.9850.0000000.5347470.0152280.0000000.0-0.388889
56000.00.4657299.141556e-070.994-0.0016690.4588830.0050250.0000000.00.389831
67000.00.6278154.753149e-020.9890.0000000.4657290.0111220.0000000.0-0.100000
78000.00.6511632.229827e-050.988-0.0018370.6278150.0111220.0000000.0-0.185185
89000.00.5046623.494982e-030.9920.0000000.6511630.0080650.0000000.00.191011
910000.00.5461906.503471e-070.9890.0000000.5046620.0111220.0000000.0-0.100000
1010100.00.5420536.478350e-070.9890.0000000.5461900.0111220.0000000.0-0.111000
\n", "
" ], "text/plain": [ " instances auc s_auc Accuracy Kappa \\\n", "0 1000.0 0.608384 1.089317e-04 0.987 -0.001850 \n", "1 2000.0 0.649447 5.898215e-06 0.994 -0.001669 \n", "2 3000.0 0.588310 5.939977e-03 0.987 -0.001850 \n", "3 4000.0 0.534747 5.589712e-02 0.991 0.180328 \n", "4 5000.0 0.458883 8.677773e-04 0.985 0.000000 \n", "5 6000.0 0.465729 9.141556e-07 0.994 -0.001669 \n", "6 7000.0 0.627815 4.753149e-02 0.989 0.000000 \n", "7 8000.0 0.651163 2.229827e-05 0.988 -0.001837 \n", "8 9000.0 0.504662 3.494982e-03 0.992 0.000000 \n", "9 10000.0 0.546190 6.503471e-07 0.989 0.000000 \n", "10 10100.0 0.542053 6.478350e-07 0.989 0.000000 \n", "\n", " Periodical holdout AUC Pos/Neg ratio G-Mean Recall KappaM \n", "0 0.000000 0.012146 0.000000 0.0 -0.083333 \n", "1 0.608384 0.005025 0.000000 0.0 0.294118 \n", "2 0.649447 0.012146 0.000000 0.0 -0.344828 \n", "3 0.588310 0.010101 0.316228 0.1 0.076923 \n", "4 0.534747 0.015228 0.000000 0.0 -0.388889 \n", "5 0.458883 0.005025 0.000000 0.0 0.389831 \n", "6 0.465729 0.011122 0.000000 0.0 -0.100000 \n", "7 0.627815 0.011122 0.000000 0.0 -0.185185 \n", "8 0.651163 0.008065 0.000000 0.0 0.191011 \n", "9 0.504662 0.011122 0.000000 0.0 -0.100000 \n", "10 0.546190 0.011122 0.000000 0.0 -0.111000 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from capymoa.evaluation.visualization import plot_windowed_results\n", "from capymoa.anomaly import Autoencoder\n", "from capymoa.evaluation import prequential_evaluation_anomaly\n", "\n", "stream_ad = NumpyStream(\n", " X,\n", " y,\n", " dataset_name=\"AnomalyDetectionDataset\",\n", " feature_names=feature_names,\n", " target_name=target_name,\n", " target_type=\"categorical\",\n", ")\n", "ae = Autoencoder(schema=stream_ad.get_schema(), hidden_layer=1)\n", "\n", "results_ae = prequential_evaluation_anomaly(\n", " stream=stream_ad, learner=ae, window_size=1000\n", ")\n", "\n", "print(f\"AUC: {results_ae.auc()}\")\n", "display(results_ae.windowed.metrics_per_window())\n", "plot_windowed_results(results_ae, metric=\"auc\", save_only=False)" ] }, { "cell_type": "markdown", "id": "de4c8ccd-b29e-4c53-ae8d-923c6b9e0e5a", "metadata": {}, "source": [ "### 3.3 Online Isolation Forest" ] }, { "cell_type": "code", "execution_count": 5, "id": "28171920-a2d8-4c1e-bb2a-39d81079ebf8", "metadata": { "ExecuteTime": { "end_time": "2025-01-10T05:05:48.897097Z", "start_time": "2025-01-10T05:04:25.872681Z" }, "execution": { "iopub.execute_input": "2024-09-23T00:32:40.683004Z", "iopub.status.busy": "2024-09-23T00:32:40.682760Z", "iopub.status.idle": "2024-09-23T00:35:46.084849Z", "shell.execute_reply": "2024-09-23T00:35:46.084378Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AUC: 0.827975\n" ] }, { "data": { "text/html": [ "
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instancesaucs_aucAccuracyKappaPeriodical holdout AUCPos/Neg ratioG-MeanRecallKappaM
01000.00.6993930.0370540.955-0.0179150.0000000.0121460.00.0-2.750000
12000.00.8406030.0617990.9950.0000000.6993930.0050250.00.00.411765
23000.00.8297910.0656230.9880.0000000.8406030.0121460.00.0-0.241379
34000.00.8327270.0526780.9900.0000000.8297910.0101010.00.0-0.025641
45000.00.9210830.0766540.9850.0000000.8327270.0152280.00.0-0.388889
56000.00.9969850.1145420.9950.0000000.9210830.0050250.00.00.491525
67000.00.8719550.0454030.9890.0000000.9969850.0111220.00.0-0.100000
78000.00.8545820.0532050.9890.0000000.8719550.0111220.00.0-0.086420
89000.00.5151210.0185230.9920.0000000.8545820.0080650.00.00.191011
910000.00.9836380.0930840.9890.0000000.5151210.0111220.00.0-0.100000
1010100.00.9849250.0932850.9890.0000000.9836380.0111220.00.0-0.111000
\n", "
" ], "text/plain": [ " instances auc s_auc Accuracy Kappa Periodical holdout AUC \\\n", "0 1000.0 0.699393 0.037054 0.955 -0.017915 0.000000 \n", "1 2000.0 0.840603 0.061799 0.995 0.000000 0.699393 \n", "2 3000.0 0.829791 0.065623 0.988 0.000000 0.840603 \n", "3 4000.0 0.832727 0.052678 0.990 0.000000 0.829791 \n", "4 5000.0 0.921083 0.076654 0.985 0.000000 0.832727 \n", "5 6000.0 0.996985 0.114542 0.995 0.000000 0.921083 \n", "6 7000.0 0.871955 0.045403 0.989 0.000000 0.996985 \n", "7 8000.0 0.854582 0.053205 0.989 0.000000 0.871955 \n", "8 9000.0 0.515121 0.018523 0.992 0.000000 0.854582 \n", "9 10000.0 0.983638 0.093084 0.989 0.000000 0.515121 \n", "10 10100.0 0.984925 0.093285 0.989 0.000000 0.983638 \n", "\n", " Pos/Neg ratio G-Mean Recall KappaM \n", "0 0.012146 0.0 0.0 -2.750000 \n", "1 0.005025 0.0 0.0 0.411765 \n", "2 0.012146 0.0 0.0 -0.241379 \n", "3 0.010101 0.0 0.0 -0.025641 \n", "4 0.015228 0.0 0.0 -0.388889 \n", "5 0.005025 0.0 0.0 0.491525 \n", "6 0.011122 0.0 0.0 -0.100000 \n", "7 0.011122 0.0 0.0 -0.086420 \n", "8 0.008065 0.0 0.0 0.191011 \n", "9 0.011122 0.0 0.0 -0.100000 \n", "10 0.011122 0.0 0.0 -0.111000 " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from capymoa.evaluation.visualization import plot_windowed_results\n", "from capymoa.anomaly import OnlineIsolationForest\n", "from capymoa.evaluation import prequential_evaluation_anomaly\n", "\n", "stream_ad = NumpyStream(\n", " X,\n", " y,\n", " dataset_name=\"AnomalyDetectionDataset\",\n", " feature_names=feature_names,\n", " target_name=target_name,\n", " target_type=\"categorical\",\n", ")\n", "oif = OnlineIsolationForest(schema=stream_ad.get_schema(), num_trees=10)\n", "\n", "results_oif = prequential_evaluation_anomaly(\n", " stream=stream_ad, learner=oif, window_size=1000\n", ")\n", "\n", "print(f\"AUC: {results_oif.auc()}\")\n", "display(results_oif.windowed.metrics_per_window())\n", "plot_windowed_results(results_oif, metric=\"auc\", save_only=False)" ] }, { "cell_type": "markdown", "id": "2f979d3b-021b-48a0-95c5-7066b92895a4", "metadata": {}, "source": [ "## 4. Comparing algorithms" ] }, { "cell_type": "code", "execution_count": 6, "id": "c5e81e61-7a9f-4f6d-a4df-415a25bf2b03", "metadata": { "ExecuteTime": { "end_time": "2025-01-10T05:05:49.073531Z", "start_time": "2025-01-10T05:05:48.932032Z" }, "execution": { "iopub.execute_input": "2024-09-23T00:35:46.086620Z", "iopub.status.busy": "2024-09-23T00:35:46.086421Z", "iopub.status.idle": "2024-09-23T00:35:46.197186Z", "shell.execute_reply": "2024-09-23T00:35:46.196713Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_windowed_results(\n", " results_hst, results_ae, results_oif, metric=\"auc\", save_only=False\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": ".venv", "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": "3.13.7" } }, "nbformat": 4, "nbformat_minor": 5 }