From 2dfc5121ba9f8324bbccab390870c70ff24035f9 Mon Sep 17 00:00:00 2001 From: Thomas Lew Date: Fri, 30 Aug 2024 12:35:07 -0700 Subject: [PATCH] LewBonalliJansonPavone2024 --- _bibliography/ASL_Bib.bib | 2 -- 1 file changed, 2 deletions(-) diff --git a/_bibliography/ASL_Bib.bib b/_bibliography/ASL_Bib.bib index 4067572d..25e84a07 100755 --- a/_bibliography/ASL_Bib.bib +++ b/_bibliography/ASL_Bib.bib @@ -3161,10 +3161,8 @@ @article{LewBonalliJansonPavone2024 title = {Estimating the convex hull of the image of a set with smooth boundary: error bounds and applications}, year = {2024}, journal = jrn_Spr_DCG, - note = {In press}, abstract = {We study the problem of estimating the convex hull of the image $f(X)\subset\mathbb{R}^n$ of a compact set $X\subset\mathbb{R}^m$ with smooth boundary through a smooth function $f:\mathbb{R}^m\to\mathbb{R}^n$. Assuming that $f$ is a diffeomorphism or a submersion, we derive new bounds on the Hausdorff distance between the convex hull of $f(X)$ and the convex hull of the images $f(x_i)$ of $M$ samples $x_i$ on the boundary of $X$. When applied to the problem of geometric inference from random samples, our results give tighter and more general error bounds than the state of the art. We present applications to the problems of robust optimization, of reachability analysis of dynamical systems, and of robust trajectory optimization under bounded uncertainty.}, url = {https://arxiv.org/abs/2302.13970}, - keywords = {press}, owner = {lew}, timestamp = {2023-02-27} }