Research

This section showcases some side research/fun projects that may not directly align with my main research direction, along with ongoing research and projects. Feel free to reach out if you're interested! đź“©

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AI Buddy Project: Transforming Social Interaction with AI-Powered Virtual Influencers [Ongoing!]

An innovative AI-powered social platform
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Dynamics of Neural Network Parameters in Training: Modelling SGD by a Limiting PDE

Modelling SGD by a Limiting PDE
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Modelling of Electrical Activity of Cardiac Tissue using 2D Poisson's Equation via Finite Element Method

Modeling the electrical activity of cardiac tissue using the 2D Poisson’s equation
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Approximate Bayesian Methods for Hodgkin-Huxley Model and its Bifurcation Analysis

Investigates the dynamics and bifurcations of the Hodgkin-Huxley model
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The History of Rational Minimax Approximation: From the Remez Algorithm to the AAA-Lawson Algorithm

From the Remez Algorithm to the AAA-Lawson Algorithm
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Iterative Methods for the Poisson’s Equation and the New Laplace Solver via Rational Approximations

Efficient numerical methods for solving the 2D Poisson’s equation

Collective Cell Migration Project: Modelling cell migration in freely expanding epithelia

Collective cell migrations are pivotal in biological processes