Writing

Model breakdowns, practical guides, and how I approach problems in data.
Most of it comes back to where methods hold, where they break, and what to build around them.

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4 min read

Averages Are the Wrong Summary for Most Things You Measure

On heavy-tailed data the mean is neither typical nor stable. A simulation of what goes wrong, and how to choose the statistic that fits the decision.

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4 min read

Convexity Is What Makes a Problem Solvable, and Almost Nothing Is Convex

Most applied optimization quietly swaps the real problem for a convex one. An experiment on what that swap costs, and how to tell when it is expensive.

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5 min read

The Newcomb Paradox: What a Thought Experiment Can Teach Us About Trusting Models

A sixty-year-old decision puzzle about a near-perfect predictor, and what it says about the gap between predicting an outcome and acting on the prediction.

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5 min read

When the Outlier Is the Signal: Reimagining Anomaly Detection for High-Stakes Engineering

In monitoring, the deviation is the reason the system exists. What changes when you stop treating outliers as noise.

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13 min read

The Beautiful Mathematics Behind Machine Learning

The linear algebra, calculus, probability, and information theory under modern machine learning, followed into financial markets and fraud detection.