1 citations · 2 across the 6 of their papers we have counts for
11 papers
Wasserstein stability of the zero cell of a Poisson hyperplane tessellation under directional perturbations
Gilles Bonnet, Eliza O'Reilly, Bharath Roy Choudhury
A stationary Poisson hyperplane process in is characterized by an intensity parameter and an even probability measure on the unit sphere called the directional distr…
Optimal Regularization for a Data Source
Oscar Leong, Eliza O'Reilly, Yong Sheng Soh +1
In optimization-based approaches to inverse problems and to statistical estimation, it is common to augment criteria that enforce data fidelity with a regularizer that promotes des…
Spectrahedral Regression
Eliza O'Reilly, Venkat Chandrasekaran
Convex regression is the problem of fitting a convex function to a data set consisting of input-output pairs. We present a new approach to this problem called spectrahedral regress…
Minimax Rates for High-Dimensional Random Tessellation Forests
Eliza O'Reilly, Ngoc Mai Tran
Random forests are a popular class of algorithms used for regression and classification. The algorithm introduced by Breiman in 2001 and many of its variants are ensembles of rando…
Stochastic geometry to generalize the Mondrian Process
Eliza O'Reilly, Ngoc Tran
The stable under iterated tessellation (STIT) process is a stochastic process that produces a recursive partition of space with cut directions drawn independently from a distributi…
Facets of spherical random polytopes
Gilles Bonnet, Eliza O'Reilly
Facets of the convex hull of independent random vectors chosen uniformly at random from the unit sphere in are studied. A particular focus is given on the height…
The stochastic geometry of unconstrained one-bit data compression
François Baccelli, Eliza O'Reilly
A stationary stochastic geometric model is proposed for analyzing the data compression method used in one-bit compressed sensing. The data set is an unconstrained stationary set, f…
Thin-shell concentration for zero cells of stationary Poisson mosaics
Eliza O'Reilly
We study the concentration of the norm of a random vector uniformly sampled in the centered zero cell of two types of stationary and isotropic random mosaics in …
Couplings for determinantal point processes and their reduced Palm distributions with a view to quantifying repulsiveness
Jesper Møller, Eliza O'Reilly
For a determinantal point process with a kernel whose spectrum is strictly less than one, Andr{é} Goldman has established a coupling to its reduced Palm process at a…
Reach of Repulsion for Determinantal Point Processes in High Dimensions
François Baccelli, Eliza O'Reilly
Goldman [7] proved that the distribution of a stationary determinantal point process (DPP) can be coupled with its reduced Palm version such that there exists a point…
End-to-End Optimization of High Throughput DNA Sequencing
Eliza O'Reilly, Francois Baccelli, Gustavo de Veciana +1
At the core of high throughput DNA sequencing platforms lies a bio-physical surface process that results in a random geometry of clusters of homogenous short DNA fragments typicall…