4 papers
Self-Balancing Sequential Sampling: Fast Convergence with Controlled Predictability
Zachary McNulty, Daniel Raban
Many instances of sequential sampling, including audit and inspection scheduling, representative sampling, and treatment assignment, require selections to be distributed evenly wit…
How should we aggregate ratings? Accounting for personal rating scales via Wasserstein barycenters
Daniel Raban
A common method of comparing items is to collect numerical ratings on a linear scale and compare the average rating for each item. However, averaging ratings does not account for p…
Coupling Theory, Optimal Transport, and Strassen's Theorem for Eventual Domination
Adam Quinn Jaffe, Daniel Raban
Many results in probability (most famously, Strassen's theorem on stochastic domination), characterize some relationship between probability distributions in terms of the existence…
Laws of Large Numbers for Information Resolution
Daniel Raban
Laws of large numbers establish asymptotic guarantees for recovering features of a probability distribution using independent samples. We introduce a framework for proving analogou…