Theoretical Physicist | Associate Director Data Science
Technical posts about machine learning, deep learning, and research.
December 25, 2025
A rigorous mathematical derivation of the master equation for jump Markov processes, with applications spanning bacterial biofilm dynamics, antibiotic resistance strategies, and machine learning optimization.
December 23, 2025
A mathematical framework for analyzing absorbing Markov chains to predict equipment failure and optimize maintenance strategies using fundamental matrix theory.
December 22, 2025
A comprehensive comparison of three approaches to linear regression - implementing the analytic solution using least squares, numerical optimization with gradient descent, and scikit-learn’s optimized library.
December 21, 2025
A deep dive into the mathematics behind neural networks and the Adam optimizer, implemented from scratch in NumPy for digit classification.