activity
19992022
most citedOn orbit dimensions under a simultaneous Lie group action on n copies of a manifold

15 citations · 49 across the 23 of their papers we have counts for

collaborators

23 papers

math.AC2022

Multilateration and Signal Matching with Unknown Emission Times

Mireille Boutin, Gregor Kemper

Assume that a source emits a signal in -dimensional space at an unknown time, which is received by at least~ sensors. In almost all cases the emission time and source positio…

math.AC2022

Can a Ground-Based Vehicle Hear the Shape of a Room?

Mireille Boutin, Gregor Kemper

Assume that a ground-based vehicle moves in a room with walls or other planar surfaces. Can the vehicle reconstruct the positions of the walls from the echoes of a single sound eve…

math.PR2021

The shape of a Gaussian mixture is characterized by the probability density of the distance between two samples

Mireille Boutin, Kindyl King, Uli Walther

Let be a random variable with density taking values in . We are interested in finding a representation for the shape of , i.e. for the orbit $\…

cs.LG2021

Approximation and generalization properties of the random projection classification method

Mireille Boutin, Evzenie Coupkova

The generalization gap of a classifier is related to the complexity of the set of functions among which the classifier is chosen. We study a family of low-complexity classifiers co…

stat.ML2020★ 1 cited

Clustering small datasets in high-dimension by random projection

Alden Bradford, Tarun Yellamraju, Mireille Boutin

Datasets in high-dimension do not typically form clusters in their original space; the issue is worse when the number of points in the dataset is small. We propose a low-computatio…

stat.ML2019★ 3 cited

A new model for natural groupings in high-dimensional data

Mireille Boutin, Evzenie Coupkova

Clustering aims to divide a set of points into groups. The current paradigm assumes that the grouping is well-defined (unique) given the probability model from which the data is dr…