{"id":2328,"date":"2024-10-11T09:16:47","date_gmt":"2024-10-11T09:16:47","guid":{"rendered":"https:\/\/dataninja.nrw\/?page_id=2328"},"modified":"2025-02-10T08:14:48","modified_gmt":"2025-02-10T08:14:48","slug":"gaia-gaussian-processes-for-automatic-and-interpretable-anomaly-detection","status":"publish","type":"page","link":"https:\/\/dataninja.nrw\/?page_id=2328","title":{"rendered":"GAIA: Gaussian Processes for Automatic and Interpretable Anomaly-Detection"},"content":{"rendered":"<div class=\"wp-block-ub-styled-box ub-styled-box ub-bordered-box\" id=\"ub-styled-box-b50f4737-4276-432c-adb6-3b241df28c28\">\n\n\n<h3 class=\"wp-block-heading has-text-align-center\" id=\"ub-styled-box-bordered-content-\">The faces behind project GAIA<\/h3>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-layout-1 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Besginow_Andreas_CR_inIT_THOWL-1024x1024.png\" alt=\"\" class=\"wp-image-2550\" style=\"width:180px\" srcset=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Besginow_Andreas_CR_inIT_THOWL-1024x1024.png 1024w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Besginow_Andreas_CR_inIT_THOWL-300x300.png 300w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Besginow_Andreas_CR_inIT_THOWL-150x150.png 150w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Besginow_Andreas_CR_inIT_THOWL-768x768.png 768w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Besginow_Andreas_CR_inIT_THOWL-1536x1536.png 1536w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Besginow_Andreas_CR_inIT_THOWL-2048x2048.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h4 class=\"wp-block-heading has-text-align-center\">Andreas Besginow<\/h4>\n\n\n\n<p class=\"has-text-align-center\">THOWL<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\"><div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Jan_Huwel_CR_FernUni_Hagen_Hardy_Welsch-1024x1024.png\" alt=\"\" class=\"wp-image-2607\" style=\"width:180px\" srcset=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Jan_Huwel_CR_FernUni_Hagen_Hardy_Welsch-1024x1024.png 1024w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Jan_Huwel_CR_FernUni_Hagen_Hardy_Welsch-300x300.png 300w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Jan_Huwel_CR_FernUni_Hagen_Hardy_Welsch-150x150.png 150w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Jan_Huwel_CR_FernUni_Hagen_Hardy_Welsch-768x768.png 768w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Jan_Huwel_CR_FernUni_Hagen_Hardy_Welsch-1536x1536.png 1536w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2025\/01\/Jan_Huwel_CR_FernUni_Hagen_Hardy_Welsch-2048x2048.png 2048w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure><\/div>\n\n\n<h4 class=\"wp-block-heading has-text-align-center\">Jan David H\u00fcwel<\/h4>\n\n\n\n<p class=\"has-text-align-center\">FernUniversit\u00e4t in Hagen<\/p>\n<\/div>\n<\/div>\n\n\n<\/div>\n\n\n<div style=\"height:50px\" aria-hidden=\"true\" class=\"wp-block-spacer\"><\/div>\n\n\n\n<h1 class=\"wp-block-heading\">Research for Trustworthy Predictive Models<\/h1>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-layout-2 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.10.15-A-simplified-image-showing-a-person-measuring-temperatures-on-their-patio-with-visual-elements-like-a-thermometer-and-a-notepad-for-recording-data.-I.webp\" alt=\"\" class=\"wp-image-2337\" srcset=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.10.15-A-simplified-image-showing-a-person-measuring-temperatures-on-their-patio-with-visual-elements-like-a-thermometer-and-a-notepad-for-recording-data.-I.webp 1024w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.10.15-A-simplified-image-showing-a-person-measuring-temperatures-on-their-patio-with-visual-elements-like-a-thermometer-and-a-notepad-for-recording-data.-I-300x300.webp 300w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.10.15-A-simplified-image-showing-a-person-measuring-temperatures-on-their-patio-with-visual-elements-like-a-thermometer-and-a-notepad-for-recording-data.-I-150x150.webp 150w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.10.15-A-simplified-image-showing-a-person-measuring-temperatures-on-their-patio-with-visual-elements-like-a-thermometer-and-a-notepad-for-recording-data.-I-768x768.webp 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Imagine you&#8217;re measuring the temperature on your patio every day and writing it down. These are what we call \u201cmeasurement data.\u201d Some days are warmer, some are colder, but overall, it gets warm in the summer and cold in the winter. This overall pattern is called a \u201ctrend.\u201d In our work, we focus on finding or learning these trends in the measurement data. We do this using something called Gaussian Process Models. A Gaussian Process Model is great at \u201clearning\u201d these trends. Even if there are a few unusually warm days in winter, the model still understands that it\u2019s winter. Through learning, Gaussian Processes can also make predictions for the future, such as what the temperatures might be in the coming years.<\/p>\n<\/div>\n<\/div>\n\n\n\n<p>Our research aims to improve these predictions and use them to detect changes and anomalies in the data. For example, we\u2019ve been able to make Gaussian Processes learn new patterns faster. Additionally, we\u2019ve taught the models some basic physical laws! Right now, we\u2019re working on figuring out when a model is \u201cgood,\u201d so we can compare different models. After all, we don\u2019t want our temperature model to predict several warm days every winter just because it happened once.<\/p>\n\n\n\n<div class=\"wp-block-columns is-layout-flex wp-container-core-columns-layout-3 wp-block-columns-is-layout-flex\">\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<p>Finally, we also want a Gaussian Process to notice when new data looks different from what it has seen before and explain what makes it different. For instance, if we put up an umbrella on our patio and it doesn&#8217;t get as warm during the day anymore, the model should say, \u201cWarning: it\u2019s not getting as warm during the day as before. Something has changed.\u201d<\/p>\n\n\n\n<p>Overall, with our project, we aim to help understand complex processes better and explain changes in those processes. By providing clear explanations, we can ensure that we can trust the predictions made by our models.<\/p>\n<\/div>\n\n\n\n<div class=\"wp-block-column is-layout-flow wp-block-column-is-layout-flow\">\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.14.15-A-simpler-illustration-style-image-focusing-on-a-thermometer-with-data-lines-connected-to-a-graph-explaining-temperature-changes.-Add-a-large-magnify.webp\" alt=\"\" class=\"wp-image-2338\" srcset=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.14.15-A-simpler-illustration-style-image-focusing-on-a-thermometer-with-data-lines-connected-to-a-graph-explaining-temperature-changes.-Add-a-large-magnify.webp 1024w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.14.15-A-simpler-illustration-style-image-focusing-on-a-thermometer-with-data-lines-connected-to-a-graph-explaining-temperature-changes.-Add-a-large-magnify-300x300.webp 300w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.14.15-A-simpler-illustration-style-image-focusing-on-a-thermometer-with-data-lines-connected-to-a-graph-explaining-temperature-changes.-Add-a-large-magnify-150x150.webp 150w, https:\/\/dataninja.nrw\/wp-content\/uploads\/2024\/10\/DALL\u00b7E-2024-10-11-11.14.15-A-simpler-illustration-style-image-focusing-on-a-thermometer-with-data-lines-connected-to-a-graph-explaining-temperature-changes.-Add-a-large-magnify-768x768.webp 768w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n<\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Cooperation<\/h3>\n\n\n\n<div class=\"wp-block-columns\">\n    <div class=\"wp-block-column contrib-container\" style=\"flex-basis:20%\">\n        <a href=\"https:\/\/www.fernuni-hagen.de\/english\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2022\/06\/Logo-der-Fernuni-Hagen.png\" alt=\"Fernuni Hagen\" class=\"wp-image-197\" height=\"100%\"><\/a>\n    <\/div>\n    <div class=\"wp-block-column\" style=\"margin-right:0.5cm\"><\/div>\n    <div class=\"wp-block-column\" style=\"flex-basis:80%\">\n         <a href=\"https:\/\/www.fernuni-hagen.de\/ds\/\"><b><p class=\"contrib-card-label\">Data Management and Analytics Group<\/p><\/b><\/a>\n        <a href=\"https:\/\/www.fernuni-hagen.de\/ds\/team\/christian.beecks.shtml\"><p class=\"contrib-card-label\">Prof. Dr. Christian Beecks<\/p><\/a>\n       <p class=\"contrib-card-label\">PhD student: <a href=\"https:\/\/www.fernuni-hagen.de\/ds\/team\/jan-david.huewel.shtml\">Jan David H\u00fcwel<\/a><\/p>\n    <\/div>\n<\/div>\n<div class=\"wp-block-columns\">\n    <div class=\"wp-block-column contrib-container\" style=\"flex-basis:20%;\">\n        <a href=\"https:\/\/www.th-owl.de\/\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/dataninja.nrw\/wp-content\/uploads\/2021\/04\/TH_OWL_DE-EN_sRGB-e1618308605801.png\" alt=\"\" class=\"wp-image-197\"><\/a>\n    <\/div>\n    <div class=\"wp-block-column\" style=\"margin-right:0.5cm\"><\/div>\n    <div class=\"wp-block-column\" style=\"flex-basis:80%\">\n        <a href=\"https:\/\/www.th-owl.de\/eecs\/\"><b><p class=\"contrib-card-label\">Department of Electrical Engineering and Computer Science<\/p><\/b><\/a>\n        <a href=\"https:\/\/www.th-owl.de\/eecs\/fachbereich\/team\/markus-lange-hegermann\/\"><p class=\"contrib-card-label\">Prof. Dr. Markus Lange-Hegermann<\/p><\/a>\n        <p class=\"contrib-card-label\">PhD student: <a href=\"https:\/\/www.init-owl.de\/team\/andreas-besginow\/\">Andreas Besginow<\/a><\/p>\n    <\/div>\n<\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Project Publications<\/h3>\n\n\n\n<ul>\n<li>Berns, Fabian, Jan David H\u00fcwel, and Christian Beecks (2021). \u2018\u2018LOGIC: Probabilistic Machine Learning for Time Series Classification\u2019\u2019. In:\u00a0ICDM. IEEE, pp. 1000\u20131005.<\/li>\n\n\n\n<li>Berns, Fabian, Jan David H\u00fcwel, and Christian Beecks (2022). \u2018\u2018Automated Model Inference for Gaussian Processes: An Overview of State-of-the-Art Methods and Algorithms\u2019\u2019. In:\u00a0SN Comput. Sci.\u00a03.4, p. 300.<\/li>\n\n\n\n<li>Besginow, Andreas, Jan David H\u00fcwel, Markus Lange-Hegermann, and Christian Beecks (2021). \u2018\u2018Exploring Methods to Apply Gaussian Processes in Industrial Anomaly Detection\u2019\u2019. In:\u00a0KI. Vol. 44.<\/li>\n\n\n\n<li>Besginow, Andreas, Jan David H\u00fcwel, Markus Lange-Hegermann, and Christian Beecks (2024). \u2018\u2018Finding commonalities in dynamical systems with gaussian processes\u2019\u2019. In:\u00a0DataNinja sAIOnARA Conference, pp. 26\u201328.\u00a0doi:\u00a0<a href=\"https:\/\/biecoll.ub.uni-bielefeld.de\/index.php\/dataninja\/article\/download\/1162\/1184\">10.11576\/dataninja-1162<\/a>.<\/li>\n\n\n\n<li>Besginow, Andreas, Jan David H\u00fcwel, Thomas Pawellek, Christian Beecks, and Markus Lange-Hegermann (2024). \u2018\u2018On the Laplace Approximation as Model Selection Criterion for Gaussian Processes\u2019\u2019. In:\u00a0arXiv preprint <a href=\"https:\/\/arxiv.org\/abs\/2403.09215\">arXiv:2403.09215<\/a>.<\/li>\n\n\n\n<li>Besginow, Andreas and Markus Lange-Hegermann (2022). \u2018\u2018Constraining Gaussian Processes to Systems of Linear Ordinary Differential Equations\u2019\u2019. In:\u00a0Advances in Neural Information Processing Systems. Ed. by Alice H. Oh, Alekh Agarwal, Danielle Belgrave, and Kyunghyun Cho.<\/li>\n\n\n\n<li>Gresch, Anne, Jana Osthues, Jan D H\u00fcwel, Jennifer K Briggs, Tim Berger, Ruben Koch, Thomas Deickert, Christian Beecks, Richard KP Benninger, and Martina D\u00fcfer (2024). \u2018\u2018Resolving spatiotemporal electrical signaling within the islet via CMOS microelectrode arrays\u2019\u2019. In:\u00a0Diabetes, db230870.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David and Christian Beecks (2023). \u2018\u2018Gaussian Process Component Mining with the Apriori Algorithm\u2019\u2019. In:\u00a0DEXA (2). Vol. 14147. Lecture Notes in Computer Science. Springer, pp. 423\u2013429.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David and Christian Beecks (2024a). \u2018\u2018Discovering Structural Regularities in Time Series via Gaussian Processes\u2019\u2019. In:\u00a0DSAA. IEEE, pp. 1\u201310.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David and Christian Beecks (2024b). \u2018\u2018Frequent Component Analysis for Large Time Series Databases with Gaussian Processes\u2019\u2019. In:EDBT. OpenProceedings.org, pp. 617\u2013622.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David, Fabian Berns, and Christian Beecks (2021). \u2018\u2018Automated Kernel Search for Gaussian Processes on Data Streams\u2019\u2019. In:\u00a0IEEE BigData. IEEE, pp. 3584\u20133588.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David, Andreas Besginow, Fabian Berns, Markus Lange-Hegermann, and Christian Beecks (2021). \u2018\u2018On Kernel Search Based Gaussian Process Anomaly Detection\u2019\u2019. In:\u00a0IN4PL (Revised Selected Papers). Vol. 1855. Communications in Computer and Information Science. Springer, pp. 1\u201323.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David, Anne Gresch, Tim Berger, Martina D\u00fcfer, and Christian Beecks (2022). \u2018\u2018Analysis of Extracellular Potential Recordings by High-Density Micro-electrode Arrays of Pancreatic Islets\u2019\u2019. In:\u00a0DEXA (2). Vol. 13427. Lecture Notes in Computer Science. Springer, pp. 270\u2013276.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David, Anne Gresch, Fabian Berns, Ruben Koch, Martina D\u00fcfer, and Christian Beecks (2022). \u2018\u2018Tracing Patterns in Electrophysiological Time Series Data\u2019\u2019. In:\u00a0DSAA. IEEE, pp. 1\u201310.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David, Florian Haselbeck, Dominik G. Grimm, and Christian Beecks (2022). \u2018\u2018Dynamically Self-adjusting Gaussian Processes for Data Stream Modelling\u2019\u2019. In:\u00a0KI. Vol. 13404. Lecture Notes in Computer Science. Springer, pp. 96\u2013114.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David, Georg Stefan Schlake, Kevin Albrechts, and Christian Beecks (2024a). \u2018\u2018Discovering Propagating Signals in High-Content Multivariate Time Series via Spatio-Temporal Subsequence Clustering (In print)\u2019\u2019. In:\u00a0Proceedings of the IEEE International Conference on Big Data.<\/li>\n\n\n\n<li>H\u00fcwel, Jan David, Georg Stefan Schlake, Kevin Albrechts, and Christian Beecks (2024b). \u2018\u2018Identifying Propagating Signals with Spatio-Temporal Clustering in Multivariate Time Series\u2019\u2019. In:\u00a0SISAP. Vol. 15268. Lecture Notes in Computer Science. Springer, pp. 207\u2013214.<\/li>\n\n\n\n<li>Schlake, Georg Stefan, Jan David H\u00fcwel, Fabian Berns, and Christian Beecks (2022). \u2018\u2018Evaluating the Lottery Ticket Hypothesis to Sparsify Neural Networks for Time Series Classification\u2019\u2019. In:\u00a0ICDE Workshops. IEEE, pp. 70\u201373.<\/li>\n<\/ul>\n\n\n\n<section aria-label=\"References\" class=\"wp-block-abt-static-bibliography abt-static-bib\" role=\"region\"><ol class=\"abt-bibliography__body\"><\/ol><\/section>\n","protected":false},"excerpt":{"rendered":"<p>Research for Trustworthy Predictive Models Imagine you&#8217;re measuring the temperature on your patio every day and writing it down. These [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":332,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"ub_ctt_via":"","footnotes":""},"featured_image_src":"https:\/\/dataninja.nrw\/wp-content\/uploads\/2021\/04\/03_GAIA_A3_draft_vs2-scaled.jpeg","_links":{"self":[{"href":"https:\/\/dataninja.nrw\/index.php?rest_route=\/wp\/v2\/pages\/2328"}],"collection":[{"href":"https:\/\/dataninja.nrw\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/dataninja.nrw\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/dataninja.nrw\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/dataninja.nrw\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2328"}],"version-history":[{"count":9,"href":"https:\/\/dataninja.nrw\/index.php?rest_route=\/wp\/v2\/pages\/2328\/revisions"}],"predecessor-version":[{"id":2711,"href":"https:\/\/dataninja.nrw\/index.php?rest_route=\/wp\/v2\/pages\/2328\/revisions\/2711"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dataninja.nrw\/index.php?rest_route=\/wp\/v2\/media\/332"}],"wp:attachment":[{"href":"https:\/\/dataninja.nrw\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}