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…
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
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 .
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
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
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
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.