Interests

  • Neural Networks, Convex Optimization, Deep Learning, Data Analysis,

  • PDE, Stochastic Process, Mathematical Biology

Publication

  • It can also be found from Google Scholar.
    1. Jinhee Paeng, Jisun Park, and Ernest K. Ryu, “Coordinate-Update Algorithms can Efficiently Detect Infeasible Optimization Problems”, Preprint, Under Review of JMAA, arXiv, Overview video
    2. Jinhee Paeng, Kibeom Myoung, Seungmok Lee, Seung Yeal Ha, and Jaeyoung Yoon, “Applications of Renormalization group method for generalized Kuramoto type models”, Preprint, PDF


Research Internships

Ryu Optimization Group

  • Advisor: Prof. Ernest K. Ryu, Department of Mathematics, SNU

Asymptotic behavior of Randomized Coordinate FPI without any fixed point [1]

  • Proved almost sure convergence of the normalized iterate using Robbins-Siegmund quasi-martingale theorem.
  • Discovered the tight upper bound of limit supremum of the variance of normalized iterate.
  • Developed an infeasibility detection for randomized FPI-type methods.
  • Extended the result to general M-norm, allowing applications to solvers such as the decentralized optimization method.

HYKE Research Group

  • Advisor: Prof. Seung-Yeal Ha, Department of Mathematics, SNU

Application of Renormalization Group Method on Lohe Sphere Model [2]

  • Proved that Complete synchronized state among particles with identical natural frequencies forms a stable manifold of the Lohe Sphere model using RG method.
  • Developed lemmas on the integration of matrix exponential by using Jordan form.
  • 2021 Undergraduate’s Research Program (Research Fund of $6,000 per Team) by SNU Faculty of Liberal Education.

Estimation of Spectrum Density function using Maximum Entropy Rate

  • Reviewed p-th order Markov process AR(p) and its spectrum density function.
  • Using the notion of maximum entropy, Burg’s theorem and its application on the method of estimation on the spectrum density function were covered.
  • Spring 2021 Undergraduate’s Research Internship (Research Fund of $700) by SNU CNS.

NCIA : Numerical Computing & Image Analysis Lab

  • Advisor: Prof. Myungjoo Kang, Department of Mathematics, SNU

Comparison between Chan-Vase and Normalized cut for Image Segmentation

  • Reviewed methods for the image segmentation. Compared the performance of Chan-Vase model and the normalized cut method in various image settings.
  • Winter 2020 Undergraduate’s Research Internship (Research Fund of $500) by SNU CNS.

Projects

SNU Quantum Research Team

  • Advisor: Prof. Sunghoon Jung, Department of Physics, SNU

Quantum teleportation with Quantum Information Theory

  • Described necessary condition of generalized quantum teleportation using the language of the quantum Entropy. Prior works on Fidelity estimation and quantum teleportation with non-maximally entangled qubits were reviewed.

Software Maestro

  • Organizer: Korean Ministry of Science and ICT

AI on Facial expression using web camera

  • Developed an AI to quantify the user’s concentration via recognizing the facial expression.
  • Implemented with the WebRTC and developed an AI coach to adjust break sessions in the online study/work groups.