Blog Posts
Deriving the Wave Equation
A step-by-step derivation of the wave equation from first principles, exploring how tension and mass density lead to wave propagation with finite speed.
Partial Differential Equations and Neural PDEs
From the mathematics of change to neural networks that learn dynamics — understanding PDEs, numerical solvers, and how modern generative models are PDEs in disguise.
Ordinary Differential Equations and Neural ODEs
From the mathematics of change to neural networks that learn dynamics — understanding ODEs, numerical solvers, and how modern generative models are ODEs in disguise.
The Mathematics Behind Flow and Diffusion Models
A deep dive into the mathematical foundations of flow-based models and diffusion processes in deep learning.
Context-Parametric Inversion
A controlled faithfulness study on how QASPER fine-tuning affects context reliance across a RAG pipeline for NLP research papers.
Dual-Midi Transformer
A recap of my work on the Dual-Midi Transformer project, which aims to generate music from MIDI data.
An introduction into Artificial Music Generation
A comprehensive overview of the current state of music generation techniques
Introduction to Gradient Descent
An introduction into Neural Networks, Gradient Descent and Backpropagation.