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.
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.
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
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
Scientific ML · Neural Numerical Methods · Root Finding · Taylor Series · Residual Validation · Newton Refinement · Computer Vision · Action Recognition
Email: wjdtjrwns1109@gmail.com
GitHub: jseongnam

