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X-WR-CALNAME:Biomedical Mathematics Group
X-ORIGINAL-URL:https://www.ibs.re.kr/bimag
X-WR-CALDESC:Events for Biomedical Mathematics Group
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TZID:Asia/Seoul
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TZOFFSETFROM:+0900
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DTSTART:20250101T000000
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DTSTART;TZID=Asia/Seoul:20260728T160000
DTEND;TZID=Asia/Seoul:20260728T170000
DTSTAMP:20260713T132333Z
CREATED:20260713T061641Z
LAST-MODIFIED:20260713T132333Z
UID:12698-1785254400-1785258000@www.ibs.re.kr
SUMMARY:Global Linearization of Nonlinear Dynamics via Koopman Operators: A Gentle Introduction\, Applications\, and Open Challenges - Hyukpyo Hong
DESCRIPTION:Abstract: \nA central challenge of modern dynamical systems theory is to make nonlinear systems tractable without sacrificing fidelity. Koopman operator theory pursues this goal by lifting nonlinear dynamics into a linear\, but infinite dimensional\, operator acting on a function space. This operator-theoretic perspective underlies a broad class of modern data-driven methods\, from dynamic mode decomposition to equation discovery in scientific machine learning for fluid dynamics and neuroscience. Yet this power comes at a price: the operator’s infinite dimensionality poses a fundamental obstacle to computation and practical use\, and finding tractable finite-dimensional approximations remains an open and active challenge. In this talk\, I will first introduce the basic principles of Koopman operator theory and survey some of the results that have made it a cornerstone of modern dynamical systems analysis. I will then briefly describe two of my works on finite-dimensional Koopman representations. Finally\, I will turn to my recent work on non-autonomous dynamical system learning\, in collaboration with Prof. Dae Wook Kim.
URL:https://www.ibs.re.kr/bimag/event/global-linearization-of-nonlinear-dynamics-via-koopman-operators-a-gentle-introduction-applications-and-open-challenges-hyukpyo-hong/
LOCATION:108\, Conference Room\, IBS\, 55 Expo-ro Yuseong-gu\, Daejeon\, Korea\, Republic of
CATEGORIES:Biomedical Mathematics Seminar
ORGANIZER;CN="Jae Kyoung Kim":MAILTO:jaekkim@kaist.ac.kr
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