June 17, 2025 · 12 min read
Category Theory for Scientists
An introduction to functors, morphisms, and natural transformations for the working scientist.
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Blog
Notes, essays, and explorations in mathematics, machine learning, and theoretical physics.
May 1, 2025 · 9 min read
Optimization Landscapes
Visualizing loss surfaces and understanding gradient flow dynamics through dynamical systems theory.
Read PostApril 12, 2025 · 14 min read
Information Theory and Machine Learning
How entropy, mutual information, and KL divergence underpin modern learning algorithms.
Read PostMarch 8, 2025 · 10 min read
Notes on Stochastic Processes
From random walks to Brownian motion — a mathematical journey through probability theory.
Read PostFebruary 20, 2025 · 8 min read
Signal Processing Fundamentals
A review of Fourier analysis and its applications to modern scientific computing and data analysis.
Read PostFebruary 3, 2025 · 11 min read
Bayesian Inference in Practice
A practical guide to implementing Bayesian methods for uncertainty quantification in scientific data.
Read PostJanuary 15, 2025 · 15 min read
On the Geometry of Neural Networks
Exploring the topological and geometric properties of high-dimensional parameter spaces in deep learning.
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