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jseongnam/README.md

Seokjun Jeong

Hybrid Neural-Numerical AI Systems

**AI Research Engineer | Scientific Machine Learning | Neural Numerical Methods**

I design hybrid neural-numerical AI systems that combine mathematical representations, neural prediction/correction models, and classical numerical validation to solve nonlinear scientific and engineering problems reliably.


Research Identity

My research focuses on hybrid neural-numerical AI systems.

Rather than replacing classical numerical solvers with neural networks, I use neural models as:

  • interval localization modules
  • root/correction predictors
  • warm-start generators
  • residual-validated decision components

The final goal is to improve prediction, initialization, correction, and computational efficiency while preserving mathematical reliability.


Selected Publications

A Root Prediction System for Single-Variable Equations with Existing Taylor Polynomials

IEEE Access, Early Access, 2026
DOI: 10.1109/ACCESS.2026.3697368
Code: taylor-root-prediction

Hybrid Deep Learning and Newton Refinement: A Baseline-Aware Correction Framework for Nonlinear Pipe-Flow Equations

SCI manuscript under review


Representative Project

Taylor Root Prediction

Official implementation of the IEEE Access paper on Taylor coefficient-based neural root prediction.

Core components:

  • Transformer-based interval localization
  • 25th-order local Taylor representation
  • coefficient-based neural root regression
  • multi-candidate prediction
  • residual/domain/stability validation
  • baseline comparison and failure analysis

Repository: github.com/jseongnam/taylor-root-prediction


Technical Stack


Research Keywords

Scientific ML · Neural Numerical Methods · Root Finding · Taylor Series · Residual Validation · Newton Refinement · Computer Vision · Action Recognition


Contact

Email: wjdtjrwns1109@gmail.com
GitHub: jseongnam

Pinned Loading

  1. taylor-root-prediction taylor-root-prediction Public

    Official IEEE Access implementation for Taylor coefficient-based neural root prediction with Transformer interval localization and residual validation.

    Jupyter Notebook

  2. cai-Colebrook cai-Colebrook Public

    Hybrid neural-numerical warm-start correction framework for Colebrook-White pipe-flow equations with Newton refinement.

    Python

  3. single-variable-root-prediction single-variable-root-prediction Public

    Neural root prediction pipeline for single-variable synthetic equations with branch-aware learning and residual validation.

    Python