Axel Muñiz Tello

Undergraduate Researcher | UC Merced

About Me

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Hi! I'm Axel, an undergraduate researcher at the University of California, Merced, pursuing a degree in applied mathematics. My research interests lie at the intersection of machine learning, dynamical systems, control theory, and numerical analysis, with a focus on numerical linear algebra.

I'm passionate about using machine learning, and control theory to address challenges in autonomous vehicles. Currently, I'm working on researching ill conditioned matrices and their effects on autonomous vehicles and exploring opportunities to contribute to safety quantification in autonomous vehicles.

Research Interests: Machine Learning • Control Theory • Dynamical Systems • Numerical Analysis

Undergraduate Researcher

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Personal Projects

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Publications

Robustness and Conditioning of Recursive Least Squares in Adaptive Cruise Control Systems

UC Merced Undergraduate Research Journal | October 2025

Authors: Axel Muñiz Tello, Ayush Pandey

As Adaptive Cruise Control (ACC) systems become more common, maintaining string stability is critical for safety and traffic efficiency. This study examines how parameter excitability in the regressor matrix influences the accuracy and adaptability of ACC systems. Using a Recursive Least Squares algorithm for online parameter estimation, we found that low excitation reduces sensitivity and leads to poor parameter convergence, especially during steady-speed driving. High-excitation conditions such as curves or aggressive maneuvers improve estimator performance and system responsiveness. Simulations across multiple driving conditions show that realistic, variable excitation produces more stable and reliable results. These findings highlight that traffic variability is not noise but a key ingredient for developing smarter, safer, and more adaptable automated driving systems.

[Coming Soon]

Presentations & Posters

Benchmarking U-Net and Neural Cellular Automata (NCA) for Amodal Segmentation

Lawrence Livermore National Laboratory | 07/25/2025

Presenters: Axel Muñiz Tello, Melanie Gomez-Bustos, Wesley Hur, Eddie Lizarzaburu

This research investigates the application of computer vision techniques to synthetic data for training models aimed at automating laboratory processes. By integrating simulation-based datasets with machine learning methods, we seek to enhance the reliability and scalability of automated experimental workflows. The project provided hands-on experience in data science, computational modeling, and algorithmic design, while fostering collaboration with domain experts. Through this work, we demonstrate the potential of synthetic training data to accelerate innovation in automated scientific research environments.

View Poster

Modeling Disease Dynamics Using Kinetic Monte Carlo

1st SIAM Northern and Central California Sectional Conference | March 2024

2024 SURI Symposium | August 2023

Presenters: Axel Muñiz Tello

This research explores disease transmission dynamics using Kinetic Monte Carlo (KMC) simulations within an agent-based SIR framework. By modeling populations on lattice structures with both restricted and unrestricted movement, it examines how spatial structure and randomness influence infection and recovery patterns. The study highlights how spatial constraints and stochastic effects shape epidemic behavior, offering insights for improving future disease control strategies.

View SIAM Presentation | View [Second Conference] Presentation

Skills & Expertise

Research Methods

  • Experimental Design
  • Data Collection & Analysis
  • Statistical Analysis
  • Literature Review

Programming & Tools

  • Python (NumPy, Pandas, Matplotlib)
  • R / MATLAB
  • Git & Version Control
  • Jupyter Notebooks

Technical Skills

  • Machine Learning / AI
  • Data Visualization
  • Scientific Computing
  • Web Development

Academic Skills

  • Technical Writing
  • Research Presentation
  • Collaborative Research
  • Critical Analysis

Education

University of California, Merced

B.S. in Applied Mathematics | Expected Graduation: December, 2026

GPA: 3.52 | Relevant Coursework: Numerical Analysis, Numerical Linear Algebra, Linear Analysis, Stochastic Processes, Statistical Analysis, Introduction to Computing, Introduction to Programming, Complex Variables, Differential Equations, Probability and Statistics, Introduction to Data Science

Contact

Location: Merced, California

Interested in collaborating? I'm actively seeking research positions in numerical analysis, machine learning, control theory, or dynamical systems. Feel free to reach out to discuss potential collaborations or opportunities!