3 papers
math.PR2026
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…
stat.ML2023
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…
math.NA2020
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…