4 papers
Testing the mixture model hypothesis via spectral gap
March T. Boedihardjo, Joe Kileel, Vandy Tombs
In this paper, we study the problem of testing whether or not a given probability measure on can be decomposed as a mixture of two probability measures whose s…
Are Normalizing Flows the Key to Unlocking the Exponential Mechanism?
Robert A. Bridges, Vandy J. Tombs, Christopher B. Stanley
The Exponential Mechanism (ExpM), designed for private optimization, has been historically sidelined from use on continuous sample spaces, as it requires sampling from a generally…
Efficiently updating a covariance matrix and its LDL decomposition
Don March, Vandy Tombs
Equations are presented which efficiently update or downdate the covariance matrix of a large number of -dimensional observations. Updates and downdates to the covariance matrix…
Transfinitely valued Euclidean domains have arbitrary indecomposable order type
Chris J. Conidis, Pace P. Nielsen, Vandy Tombs
We prove that for every indecomposable ordinal there exists a (transfinitely valued) Euclidean domain whose minimal Euclidean norm is of that order type. Conversely, any such norm…