## About me

My name is **Jinhee Paeng**. I am an undergraduate student in Seoul National University (SNU). I am majoring in Mathematics, with Statistics as my double major. I am planning to graduate B.S. at June 2024, and start my PhD studies at Fall 2024.
Here is my Curriculum Vitae.

Academically I am interested in neural networks and emergence of intelligence, and aim to develop mathematical theories about such topics. Thus I am naturally enthusiastic at related mathematical or near-mathematical fields such as convex optimization, machine learning, PDEs and dynamical systems, stochastic processes, and data analysis.

### Research Interests

- Neural Networks, Convex Optimization, Deep Learning, Data Analysis,
- PDE, Stochastic Process, Mathematical Biology

## Publication

#### Coordinate-Update Algorithms can Efficiently Detect Infeasible Optimization Problems

- Authors:
**Jinhee Paeng**, Jisun Park, and Ernest K. Ryu - Analysis on the asymptotic behavior of Randomized Coordinate FPI without any fixed points. Proved almost sure convergence of the normalized iterates to the negative infimal displacement vector and discovered asymptotic upper bound of the variance.
- Preprint, Under Review of JMAA, Available in arXiv.2305.12211
- Here’s a 25min Overview video and Slides explaining this work.

#### Applications of Renormalization group method for generalized Kuramoto type models

- Authors:
**Jinhee Paeng**, Kibeom Myoung, Seungmok Lee, Seung Yeal Ha, and Jaeyoung Yoon - Applied the Renormalization Group Method on Lohe Sphere Model to prove that the complete synchronization state among particles with the identical natural frequencies forms a stable state.
- Preprint, PDF, Poster

## Education

#### Seoul National University(SNU): Mar 2018 - Jun 2024(Expected)

- B.S. in
**Mathematical Sciences** - B.S. in
**Statistics**(Double Major) - Mandatory Military from May 2022 - Feb 2024
- Here is my Undergraduate Coursework.

#### Gyeonggi Science High School for the Gifted: Mar 2015 - Feb 2018

- High school for the gifted in science and mathematics

## Talks

#### Academic Talks

**Peer Mathematics Seminar**, Speaker of following topics:**Quantum teleportation with Quantum Information Theory**- In Professor Sunghoon Jung’s group seminar, Slide

**Application of Renormalization Group Method on Lohe Sphere Model**- Poster session on the Undergraduate’s Research Program, Poster

**Maximum entropy and Spectrum estimation**- Professor Seung-Yeal Ha’s HYKE group, 2021 Spring Seminar

#### Academic Exchanges

**Explanation of Hallucination patterns in vision using mathematics**- GLEAP Academic Exchange with STEM, Nov 2020

**P vs NP problem and Turing machine: How computers think**- In GLEAP’s monthly academic seminar, May 2020

#### Public Lectures

**Natural Science Concert**(GLEAP’s Public Lecture for High school)- Basics of Natural Language Processing and how computers read emotion, 2020
- Mathematical modeling and Prediction of disease infection via SIR model, 2019

## Teaching

#### Teaching Experiences

**Mathematical Foundations of Deep Neural Networks****TA of the lecture**by Prof. Ernest Ryu (SNU), M1407.001200. Office hours in English

**Python basics and Mathematical modeling**- Open a class in Major Tutor School for Undergraduate, 10 week course

#### Educational Outreaches

**Talk-Talk Science Mentoring**, 2019 - 2021**Natural Science Camp**, Summer 2019**Education Outreach for Free Semester Classes**, Fall 2018**Science Outreach Volunteers**, Summer 2018

## Selected Awards & Honors

#### Scholarships/Fellowships:

**The Presidential Science Scholarship**, Korea Student Aid Foundation (2018 - 2021)

#### Selected Awards:

**Dean’s List**, SNU College of Natural Sciences (2018 - 2021)**Undergraduate’s Research Program: Participation Prize(Top 8)**(2021)**University Students Contest of Mathematics: Silver Medal**(2018)**International Mathematical Modeling Challenge (IMMC)****Meritorious Prize (2nd Prize)**in 2016, 2017.- Selected as
**Representative of South Korea**in 2016, 2017. - Invited to
**Awards Ceremony**in 2017

**Quantum computing coding challenge: Third Place**, Xanadu (2023)**Education Outreach for Free Semester Classes: Top Prize**, Ministry of Education (2018)**SNU CNS Model Student Awards**, SNU College of Natural Sciences (2021)

## Research Experiences

#### Ryu Optimization Group, Jan 2022 - Present

**Advisor: Ernest K. Ryu**, Department of Mathematics, SNU- Asymptotic behavior of Randomized Coordinate FPI without any fixed points

#### HYKE Research Group, Mar 2021 - Dec 2021

**Advisor: Seung-Yeal Ha**, Department of Mathematics, SNU- Application of Renormalization Group Method on Lohe Sphere Model
- Estimation of Spectrum Density function using Maximum Entropy Rate

#### NCIA : Numerical Computing & Image Analysis Lab, Nov 2020 - Mar 2021

**Advisor: Myungjoo Kang**, Department of Mathematics, SNU- Comparison between Chan-Vase and Normalized cut for Image Segmentation

#### SNU Quantum Research Team, Sep 2022 - May 2023

**Advisor: Sunghoon Jung**, Department of Physics, SNU- Quantum teleportation with Quantum Information Theory

#### Software Maestro, Apr 2020 - Dec 2020

**Project organized by Korean Ministry of Science and ICT**- AI on Facial expression using web camera

## Extracurricular Activities

#### GLEAP (Recognized student organization at SNU CNS) Link, 2019-2021

- Academic activities: GLEAP Monthly Seminar, Academic Exchange with STEM, KPF, National Taiwan University
- Educational Outreach: Talk-Talk Mentoring, Natural Science Camp
- Public Lectures: Natural Science Concert, Monthly Science column, Science Card-news
- Leader of Design and Publicity Task Force (2020), Designer of current GLEAP logo

#### Student Council

**Student President**of SNU Department of Mathematical Sciences, 2020- Student Council of SNU Department of Mathematical Sciences, 2018-2020
- Student Council of SNU College of Natural Sciences, 2018

#### SQRT (SNU Quantum Research Team), 2022-2023

- Students academic club in Quantum computing, One of the starting member.

#### MASTA (Math & Stats student’s dance club), 2018-2019

- Leader of the Club, 2019

## Skills

- Programming Languages: R, Python, C, C++, Matlab
- Languages: Korean(Native), English(Fluent)

## Contact

```
Affiliation: Department of Mathematical Sciences, Seoul National University (SNU)
Email: jhpaeng306@snu.ac.kr or jhpaeng306@gmail.com
```