activity
20072026
most citedEntropy Encoding, Hilbert Space and Karhunen-Loeve Transforms

33 citations · 51 across the 22 of their papers we have counts for

collaborators

22 papers

math.FA2026

The role of parameter Jacobians in the stability of network outputs

Halyun Jeong, Palle E. T. Jorgensen, Hyun-Kyoung Kwon +2

In the framework of network dynamics, learning models, and neural tangent kernels (NTK), we show that the corresponding linearized dynamics leads naturally to a semigroup formulati…

math.FA2026

Use of operator defect identities in multi-channel signal plus residual-analysis via iterated products and telescoping energy-residuals: Applications to kernels in machine learning

Palle E. T. Jorgensen, Myung-Sin Song, James F. Tian

We present a new operator theoretic framework for analysis of complex systems with intrinsic subdivisions into components, taking the form of "residuals" in general, and "telescopi…

math.FA2026

Wavelet-Packet Content for Positive Operators

Myung-Sin Song, James Tian

We study positive operator decompositions associated with rooted trees of orthogonal projections. In this sense, the refinement tree induces an ``MRA in ''. To…

stat.ML2025

Infinite-Dimensional Operator/Block Kaczmarz Algorithms: Regret Bounds and -Effectiveness

Halyun Jeong, Palle E. T. Jorgensen, Hyun-Kyoung Kwon +1

We present a variety of projection-based linear regression algorithms with a focus on modern machine-learning models and their algorithmic performance. We study the role of the rel…

cs.CV2025

Exploring the Camera Bias of Person Re-identification

Myungseo Song, Jin-Woo Park, Jong-Seok Lee

We empirically investigate the camera bias of person re-identification (ReID) models. Previously, camera-aware methods have been proposed to address this issue, but they are largel…

eess.IV2024★ 1 cited

A Training-Free Defense Framework for Robust Learned Image Compression

Myungseo Song, Jinyoung Choi, Bohyung Han

We study the robustness of learned image compression models against adversarial attacks and present a training-free defense technique based on simple image transform functions. Rec…