Field Notes
Derivations, experiments, and the occasional engineering mistake worth keeping.
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Topics
2026.07.28ACCESS ↗
The Angle Between Two Sentences
Before a chatbot can answer from your documents, something has to find the right paragraph. That step turns every sentence into an arrow and picks whichever arrow points the same way as your question.
#information-retrieval#linear-algebra#search
2026.07.26ACCESS ↗
What Percolation Theory Has to Do With Moving Money
A payment route only works while the network around it stays connected. A few small simulations show how random failures decide which route is actually best.
#mathematics#graph-theory#probability
2026.07.21ACCESS ↗
Backpropagation, One Neuron at a Time
Backpropagation for a single neuron, worked out by hand in NumPy: where each gradient comes from and how it moves a weight.
#machine-learning#mathematics#python