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Kevin Van Horn
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Kevin Van Horn's posts

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It's All About Jensen's Inequality

A recent paper proves something that runners have long suspected: GPS overestimates the distance you have traveled. This isn’t due to any algorithmic error; it is instead an unavoidable consequence of two facts: The position measurements that GPS makes…

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(PDF) Introduction A generalized linear model for binary response data has the form where is the 0/1 response variable, is the -vector of predictor variables, is the vector of regression coefficients, and is the link function. In the Stan modeling…

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(PDF) The puzzle Scott Aaronson has a wonderful book called Quantum Computing Since Democritus, and in his chapter on the anthropic principle he writes about a thought experiment (attributed to John Leslie) that he calls the Dice Room: Imagine that…

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A Symmetric Effects Prior

Short story: Given a -level nominal input variable in a Bayesian regression model, let be the effect of level . To achieve a symmetric prior on the effects, with a prior mean of 0 and prior covariance of for each , the prior on the vector of regression…

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Probability Theory Does Not Extend Logic?

David Chapman has an essay entitled Probability Theory Does Not Extend Logic. A friend asked me about it, and I wrote up  my response here.

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Analysis of a Nootropics Survey

The Problem Scott Alexander’s blog Slate Star Codex recently carried the results of a survey of over 850 users of nootropics (cognitive enhancers) such as caffeine, Adderall, and Modafinil. The survey asked respondents to subjectively rate each substance…

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Doomsday and the Dice Room Murders

(PDF) The puzzle Scott Aaronson has a wonderful book called Quantum Computing Since Democritus (1), and in his chapter on the anthropic principle he writes about a thought experiment (attributed to John Leslie) that he calls the Dice Room: Imagine that…

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Implementing the Symmetric Effects Prior

(The full write-up is here.) In a previous note I proposed a prior on the regression coefficients for a nominal input variable that leads to a symmetric prior on the effects: where is the vector of regression coefficients, is the number of levels, and are…

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Which is Worse: Calling Someone Thin-skinned or Wishing Them Dead?

Jo Brand is a British comedian. Her repertoire of jokes includes this gem: The way to a man’s heart is through his hanky pocket with a breadknife. This quip of hers is widely repeated on the Internet,  as an example of her (ahem) sharp wit. More recently,…
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