4 papers
New Tight Wavelet Frame Constructions Sharing Responsibility
Youngmi Hur, Hyojae Lim
Tight wavelet frames (TWFs) in \(L^2(\mathbb{R}^n)\) are versatile, and are practically useful due to their perfect reconstruction property. Nevertheless, existing TWF construction…
Provable wavelet-based neural approximation
Youngmi Hur, Hyojae Lim, Mikyoung Lim
In this paper, we develop a wavelet-based theoretical framework for analyzing the universal approximation capabilities of neural networks over a wide range of activation functions.…
Design of Wavelet Filter Banks for Any Dilation Using Extended Laplacian Pyramid Matrices
Youngmi Hur, Sungjoo Kim
In this paper, we present a new method for designing wavelet filter banks for any dilation matrices and in any dimension. Our approach utilizes extended Laplacian pyramid matrices…
Simplifying Formal Proof-Generating Models with ChatGPT and Basic Searching Techniques
Sangjun Han, Taeil Hur, Youngmi Hur +3
The challenge of formal proof generation has a rich history, but with modern techniques, we may finally be at the stage of making actual progress in real-life mathematical problems…