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GOPSA EEG Domain Adaptation Method — Poster

A conference poster presenting GOPSA, a method for multi-source domain adaptation on EEG data using Riemannian geometry. It compares GOPSA against baselines like D0 Intercept on the HarMnqEEG dataset, showing improved performance in brain age prediction.

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Paper title: Geodesic Optimization for Predictive Shift Adaptation on EEG data Abstract: A conference poster presenting GOPSA, a method for multi-source domain adaptation on EEG data using Riemannian geometry. It compares GOPSA against baselines like D0 Intercept on the HarMnqEEG dataset, showing improved performance in brain age prediction. Paper body (method & results): <!DOCTYPE html> <html lang="en"> <head> <meta content="text/html; charset=utf-8" http-equiv="content-type"/> <title>Geodesic Optimization for Predictive Shift Adaptation on EEG data</title> <!--Generated on Thu Jul 4 12:09:31 2024 by LaTeXML (version 0.8.8) http://dlmf.nist.gov/LaTeXML/.--> <meta content="width=device-width, initial-scale=1, shrink-to-fit=no" name="viewport"/> <link href="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0/dist/css/bootstrap.min.css" rel="stylesheet" type="text/css"/> <link href="/static/browse/0.3.4/css/ar5iv.0.7.9.min.css" rel="stylesheet" type="text/css"/> <link href="/static/browse/0.3.4/css/ar5iv-fonts.0.7.9.min.css" rel="stylesheet" type="text/css"/> <link href="/static/browse/0.3.4/css/latexml_styles.css" rel="stylesheet" type="text/css"/> <script src="https://cdn.jsdelivr.net/npm/bootstrap@5.3.0/dist/js/bootstrap.bundle.min.js"></script> <script src="https://cdnjs.cloudflare.com/ajax/libs/html2canvas/1.3.3/html2canvas.min.js"></script> <script src="/static/browse/0.3.4/js/addons_new.js"></script> <script src="/static/browse/0.3.4/js/feedbackOverlay.js"></script> <base href="/html/2407.03878v1/"/></head> <body> <nav class="ltx_page_navbar"> <nav class="ltx_TOC"> <ol class="ltx_toclist"> <li class="ltx_tocentry ltx_tocentry_paragraph"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S0.SS0.SSS0.Px1" title="In Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title">Keywords:</span></a></li> <li class="ltx_tocentry ltx_tocentry_section"> <a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S1" title="In Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">1 </span>Introduction</span></a> <ol class="ltx_toclist ltx_toclist_section"> <li class="ltx_tocentry ltx_tocentry_paragraph"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S1.SS0.SSS0.Px1" title="In 1 Introduction ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title">Related work</span></a></li> </ol> </li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S2" title="In Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">2 </span>Regression modeling from covariance matrices using Riemannian geometry</span></a></li> <li class="ltx_tocentry ltx_tocentry_section"> <a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S3" title="In Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">3 </span>Learning to recenter from highly shifted <math alttext="y" class="ltx_Math" display="inline"><semantics><mi>y</mi><annotation-xml encoding="MathML-Content"><ci>𝑦</ci></annotation-xml><annotation encoding="application/x-tex">y</annotation><annotation encoding="application/x-llamapun">italic_y</annotation></semantics></math> distributions with <span class="ltx_text ltx_font_typewriter">GOPSA</span></span></a> <ol class="ltx_toclist ltx_toclist_section"> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S3.SS1" title="In 3 Learning to recenter from highly shifted 𝑦 distributions with GOPSA ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">3.1 </span>Train-time</span></a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S3.SS2" title="In 3 Learning to recenter from highly shifted 𝑦 distributions with GOPSA ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">3.2 </span>Test-time</span></a></li> </ol> </li> <li class="ltx_tocentry ltx_tocentry_section"> <a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S4" title="In Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">4 </span>Empirical benchmarks</span></a> <ol class="ltx_toclist ltx_toclist_section"> <li class="ltx_tocentry ltx_tocentry_paragraph"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S4.SS0.SSS0.Px1" title="In 4 Empirical benchmarks ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title">Results</span></a></li> <li class="ltx_tocentry ltx_tocentry_paragraph"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S4.SS0.SSS0.Px2" title="In 4 Empirical benchmarks ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title">Model inspection</span></a></li> </ol> </li> <li class="ltx_tocentry ltx_tocentry_section"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#S5" title="In Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">5 </span>Conclusion</span></a></li> <li class="ltx_tocentry ltx_tocentry_appendix"> <a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1" title="In Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">A </span>Appendix</span></a> <ol class="ltx_toclist ltx_toclist_appendix"> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS1" title="In Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">A.1 </span>Matrix operations</span></a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS2" title="In Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">A.2 </span>Proof of <span class="ltx_ref">Lemma <span class="ltx_text ltx_ref_tag">2.1</span></span></span></a></li> <li class="ltx_tocentry ltx_tocentry_subsection"> <a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS3" title="In Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">A.3 </span>Cross-spectrum computation and preprocessing</span></a> <ol class="ltx_toclist ltx_toclist_subsection"> <li class="ltx_tocentry ltx_tocentry_paragraph"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS3.SSS0.Px1" title="In A.3 Cross-spectrum computation and preprocessing ‣ Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title">Bartlett estimator</span></a></li> <li class="ltx_tocentry ltx_tocentry_paragraph"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS3.SSS0.Px2" title="In A.3 Cross-spectrum computation and preprocessing ‣ Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title">Common average reference (CAR)</span></a></li> <li class="ltx_tocentry ltx_tocentry_paragraph"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS3.SSS0.Px3" title="In A.3 Cross-spectrum computation and preprocessing ‣ Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title">Global Scale Factor (GSF)</span></a></li> </ol> </li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS4" title="In Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">A.4 </span>Baselines</span></a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS5" title="In Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">A.5 </span>HarMNqEEG dataset</span></a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS6" title="In Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">A.6 </span><span class="ltx_ref">Figure <span class="ltx_text ltx_ref_tag">2</span></span> without normalization</span></a></li> <li class="ltx_tocentry ltx_tocentry_subsection"><a class="ltx_ref" href="https://arxiv.org/html/2407.03878v1#A1.SS7" title="In Appendix A Appendix ‣ Geodesic Optimization for Predictive Shift Adaptation on EEG data"><span class="ltx_text ltx_ref_title"><span class="ltx_tag ltx_tag_ref">A.7 </span>Boxplots of each source-target sites for the three metrics</span></a></li> </ol> </li> </ol></nav> </nav> <div class="ltx_page_main"> <div class="ltx_page_content"> <article class="ltx_document ltx_authors_1line"> <h1 class="ltx_title ltx_title_document"> Geodesic Optimization for Predictive Shift Adaptation on EEG data </h1> <div class="ltx_authors"> <span class="ltx_creator ltx_role_author"> <span class="ltx_personname">Apolline Mellot<sup class="ltx_sup" id="id10.1.id1">1*</sup>,  Antoine Collas<sup class="ltx_sup" id="id11.2.id2">1*</sup>,  Sylvain Chevallier<sup class="ltx_sup" id="id12.3.id3">2</sup>,  Alexandre Gramfort<sup class="ltx_sup" id="id13.4.id4">1</sup>,  Denis A. Engemann<sup class="ltx_sup" id="id14.5.id5">3</sup> <br class="ltx_break"/><sup class="ltx_sup" id="id15.6.id6">1</sup>University Paris-Saclay, Inria, CEA, Palaiseau, France. <br class="ltx_break"/><sup class="ltx_sup" id="id16.7.id7">2</sup>TAU Inria, LISN-CNRS, University Paris-Saclay, France. <br class="ltx_break"/><sup class="ltx_sup" id="id17.8.id8">3</sup>Roche Pharma Research and Early Development, Neuroscience and Rare Diseases, <br class="ltx_break"/>Roche Innovation Center Basel, F. Hoffmann–La Roche Ltd., Basel, Switzerland. <br class="ltx_break"/><sup class="ltx_sup" id="id18.9.id9">*</sup>Equal contribution. Email: apolline.mellot@inria.fr; antoine.collas@inria.fr </span></span> </div> <div class="ltx_abstract"> <h6 class="ltx_title ltx_title_abstract">Abstract</h6> <p class="ltx_p" id="id9.9">Electroencephalography (EEG) data is often collected from diverse contexts involving different populations and EEG devices. This variability can induce distribution shifts in the data <math alttext="X" class="ltx_Math" display="inline" id="id1.1.m1.1"><semantics id="id1.1.m1.1a"><mi id="id1.1.m1.1.1" xref="id1.1.m1.1.1.cmml">X</mi><ann

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