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Evan Miller’s News

Evan Miller’s News

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Likelihood-ratio inference on differences in quantiles

Quantiles can represent key operational and business metrics, but the computational challenges associated with inference has hampered their adoption in online experimentation. In a new paper, I present a two-sample difference-in-quantile hypothesis test and confidence interval based on a likelihood-ratio test statistic. It can be computed using only four order statistics from each sample. arXiv…

Attention Is Off By One

Transformer has a mathematical bug that has been overlooked for 6+ years. I propose fixing its outliers with two new devices, Softmax One and QuietAttention: Attention Is Off By One

Formulas for Bootstrapping Sample Medians

A paper from Spotify on quantile estimation has been making the rounds. I take a stab at their critical conjecture, and uncover a few Formulas for Bootstrapping Sample Medians .

You Can’t Spell CUPED Without Frisch-Waugh-Lovell

A/B tests run faster with CUPED. Here I explain the underlying math, and use it to invent an even better variance-reduction technique for online experiments: You Can’t Spell CUPED Without Frisch-Waugh-Lovell

The Floppy Disk of Floating Point

An essay that bids farewell to x87, a computing architecture too long for this world: The Floppy Disk of Floating Point

Updated: Formulas for Bayesian A/B Testing

I’ve updated Formulas for Bayesian A/B Testing to include a new equation for analyzing four-pronged (A/B/C/D) tests.

SlowerLogLog

What rolls down stairs and counts unique items imprecisely? HyperLogLog. Also SlowerLogLog

Preface to A Lost Lady

A Lost Lady , a Willa Cather novel which entered the public domain this year, is a gentle study in decline on the former frontier. Read my Preface to A Lost Lady

Preface to Brave New World

Brave New World reacquainted political philosophy with the prurient, after a two thousand year hiatus. Read my Preface to Brave New World

Preface to The Time Machine

The Time Machine is my favorite science fiction novella. What makes it special? Read my Preface to The Time Machine

Preface to Frankenstein

Frankenstein turned two hundred last year. Why is it still relevant? My very own Preface to Frankenstein

The Amex EveryDay Bonus: A Stochastic Valuation Model

How much is the EveryDay Bonus from American Express worth? A probabilistic investigation: The Amex EveryDay Bonus: A Stochastic Valuation Model

Things That Bother Me About Swift

I’m learning Swift. Some minor grievances I have with the language: Things That Bother Me About Swift

Things That Bother Me About macOS

In honor of the upcoming Festivus, I am sharing some Mac-related grievances: Things That Bother Me About macOS

A Review of Perl 6

I spent a few weeks with Perl 6. Here’s what I think: A Review of Perl 6

Why I’m Learning Perl 6

The Perl 6 virtual machine is a promising piece of technology: Why I’m Learning Perl 6

Adventure Games and Eigenvalues

Identifying and quantifying dead ends, the bane of all adventure game players: Adventure Games and Eigenvalues

Big Tablets Are Coming

Reflections on the Microsoft Surface Studio and Apple’s inevitable giant iPad: Big Tablets Are Coming

Type Punning Functions in C

Making C more flexible, with the help of x86_64 calling conventions: Type Punning Functions in C

Elixir RAM and the Template of Doom

A systems-y look at HTML template rendering: Elixir RAM and the Template of Doom

Splatoon’s Ranking System Is Still Broken

Nintendo keeps trying to fix Splatoon’s ranking system. They won’t succeed without a solid understanding of linear algebra. Read more: Splatoon’s Ranking System Is Still Broken

Simple Sequential A/B Testing

Cut your A/B sample sizes in half, using this one weird trick: Simple Sequential A/B Testing

Updated: Formulas for Bayesian A/B Testing

I’ve added several new formulas to “A Formula for A/B Testing” (now known as Formulas for Bayesian A/B Testing ). In addition to including the count data formula on the page, I have extended both formulas to work with three-pronged tests, that is, A/B/C tests.

Evaluating Splatoon’s Ranking System

Evaluating Splatoon’s Ranking System — Using probability theory to uncover a subtle bug in Splatoon.

Inferring Tweet Quality From Retweets

Inferring Tweet Quality From Retweets — Modeling tweets, retweets, and the passage of time.

Ranking News Items With Upvotes

Ranking News Items With Upvotes — A formula for social news websites.

Deriving the Reddit Formula

Deriving the Reddit Formula — What can expected-utility theory tell us about Reddit’s “hot” formula?

A Taste of Rust

A Taste of Rust — I tried Rust, and it was better than eating a bucket of nails.

Four Days of Go

Four Days of Go — If you see the Go gopher, tell him I would like my pajamas back.