Hyojae
Lim
Department of
Mathematics
Yonsei University
50
Yonsei-Ro, Seodaemun-Gu
Seoul 03722, Korea
Email: hyo5064@yonsei.ac.kr
Member of Wavelets and Approximations
group in Yonsei University
Research:
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Curriculum Vitae
(last updated in August 2024)
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Research Interests:
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Applications of the Developed Wavelet Theory to Other Fields (Machine Learning; Inverse Problems)
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Approximation Theory on Various Function Spaces using Wavelets
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Construction of Tight Wavelet Frames using the Extension Principles
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Machine Learning for Theorem Proving and Formalization
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Abstract Harmonic Analysis - Unitary Representation Theory on Locally Compact Groups
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Publication Lists:
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Simplifying Formal Proof-Generating Models with ChatGPT and Basic Searching Techniques (with collaborators) (submitted)
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New Tight Wavelet Frame Constructions Sharing Responsibility (with Y. Hur) (submitted) (preprint in arXiv)
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Wavelet Series Expansion in Hardy Spaces with Approximate Duals (with Y. Hur), Analysis Mathematica, Vol. 50, No. 2, 2024, pp. 563-595. (preprint) (preprint in arXiv)
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Understanding the Scattering Transform using Univariate Signals (with Y. Hur), Proceedings of 11th International Congress on Image and Signal Processing,
BioMedical Engineering and Informatics (CISP-BMEI), 2018, pp. 1-7. (preprint)
Education: