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All of Nothing is True
all([])isTrueandany([])isFalse, and that’s the only sensible choice. -
The Fictions of Mean Reversion
A cautionary tale of data analysis, chasing the ghosts of mean reversion, and the protective power of testing asymmetric effects.
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The Galois Group of $(x^5 - 7)(x^4 - 5)$
The splitting fields of $x^5 - 7$ and $x^4 - 5$ both contain $\sqrt{5}$. This makes computing the Galois group of their product pretty interesting.
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Life Without Lebesgue
In a reckless spirit, we evaluate a tricky limit of integrals without the Lebesgue convergence theorems.
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How Does A Computer Calculate Eigenvalues?
Textbook exercises compute eigenvalues from roots of the characteristic polynomial. What computers do is much neater.
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Marginalizing Multiplicative Noise is Ridge Regression
An uncommon view of ridge regression, with proof and simulation.
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A Comparison of Basis Expansions in Regression
Basis expansions allow linear regressions to fit non-linear relationships. We compare several common basis expansions, and advocate for linear and natural cubic splines.
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The Probabilistic Interpretation of AUC
A picture proof that AUC is the probability a randomly chosen positive example is scored above a randomly chosen negative one.
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A Deep Dive Into How R Fits a Linear Model
What happens when you call
lmin R? At the bottom is some of the oldest open source code still in use. -
Writing a C Extension Module for Python
How to write a Python module in C.