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Trosolwyg
Rwy'n ddyn Ka (Ambrose) Yim. Fy maes ymchwil yw Topoleg Gymhwysol a Chyfrifiannol, yr astudiaeth o algorithmau a dulliau cefnogi theori mewn dadansoddi data topolegol (TDA). Yn benodol, rwy'n canolbwyntio ar y pynciau canlynol:
- Casgliad topolegol a geometrig (adennill gwybodaeth geometrig a thopolegol o siâp gan ddefnyddio llawer o arsylwadau cyfyngedig)
- Topoleg a Systemau Dynamig (sef Conley and Morse Theory, y defnydd o topoleg algebraidd i ddeall systemau deinamig, ac i'r gwrthwyneb)
- Cymhwyso dulliau TDA i ddysgu peirianyddol a gwyddor data
Rwyf hefyd yn awyddus i feithrin cydweithrediadau â phartneriaid mewn diwydiant a'r sector cyhoeddus ar brosiectau gwyddor data.
Cyhoeddiad
2023
- Yim, K. M. and Nanda, V. 2023. Topological inference of the Conley index. Journal of Dynamics and Differential Equations (10.1007/s10884-023-10310-1)
- Song, A., Yim, K. M. and Monod, A. 2023. Generalized morse theory of distance functions to surfaces for persistent homology. [Online]. Online: arXiv. (10.48550/ARXIV.2306.14716) Available at: https://arxiv.org/abs/2306.14716
2021
- Yim, K. M. and Leygonie, J. 2021. Optimization of spectral wavelets for persistence-based graph classification. Frontiers in Applied Mathematics and Statistics 7, article number: 651467. (10.3389/fams.2021.651467)
Articles
- Yim, K. M. and Nanda, V. 2023. Topological inference of the Conley index. Journal of Dynamics and Differential Equations (10.1007/s10884-023-10310-1)
- Yim, K. M. and Leygonie, J. 2021. Optimization of spectral wavelets for persistence-based graph classification. Frontiers in Applied Mathematics and Statistics 7, article number: 651467. (10.3389/fams.2021.651467)
Websites
- Song, A., Yim, K. M. and Monod, A. 2023. Generalized morse theory of distance functions to surfaces for persistent homology. [Online]. Online: arXiv. (10.48550/ARXIV.2306.14716) Available at: https://arxiv.org/abs/2306.14716
Ymchwil
Mae rhestr lawn o fy nghyhoeddiadau i'w gweld ar fy Mhroffil Google Scholar.
Bywgraffiad
Pwyllgorau ac adolygu
Pwyllgor Effaith ac Ymgysylltu, Ysgol Mathemateg
Themâu ymchwil
Arbenigeddau
- Topoleg
- Topoleg algebraidd
- Dadansoddiad Data Topolegol
- Topology Cymhwysol a Chyfrifiadol