Publications (6)
An AI system to help scientists write expert-level empirical software
Eser Aygün, Anastasiya Belyaeva, Gheorghe Comanici +39
The cycle of scientific discovery is frequently bottlenecked by the slow, manual creation of software to support computational experiments\cite{hannay2009how}. To address this, we…
Quantum Optimization with a Novel Gibbs Objective Function and Ansatz Architecture Search
Li Li, Minjie Fan, Marc Coram +2
The Quantum Approximate Optimization Algorithm (QAOA) is a standard method for combinatorial optimization with a gate-based quantum computer. The QAOA consists of a particular ansa…
A general spline representation for nonparametric and semiparametric density estimates using diffeomorphisms
Ethan Anderes, Marc Coram
A theorem of McCann shows that for any two absolutely continuous probability measures on R^d there exists a monotone transformation sending one probability measure to the other. A…
Two Dimensional Density Estimation using Smooth Invertible Transformations
Ethan Anderes, Marc Coram
We investigate the problem of estimating a smooth invertible transformation f when observing independent samples X_1, ..., X_n ~ P \circ f, where P is a known measure. We focus on…
Improving population-specific allele frequency estimates by adapting supplemental data: an empirical Bayes approach
Marc Coram, Hua Tang
Estimation of the allele frequency at genetic markers is a key ingredient in biological and biomedical research, such as studies of human genetic variation or of the genetic etiolo…
Consistency of Bayes estimators of a binary regression function
Marc Coram, Steven P. Lalley
When do nonparametric Bayesian procedures ``overfit''? To shed light on this question, we consider a binary regression problem in detail and establish frequentist consistency for a…