4 papers
On the illumination of 1-symmetric convex bodies
Wen Rui Sun, Beatrice-Helen Vritsiou
In ["Illumination of convex bodies with many symmetries", Mathematika 63 (2017)], Tikhomirov verified the Hadwiger-Boltyanski Illumination Conjecture for the class of 1-symmetric c…
A Bootstrap Algorithm for Fast Supervised Learning
Michael A Kouritzin, Stephen Styles, Beatrice-Helen Vritsiou
Training a neural network (NN) typically relies on some type of curve-following method, such as gradient descent (GD) (and stochastic gradient descent (SGD)), ADADELTA, ADAM or lim…
Regular ellipsoids and a Blaschke-Santaló-type inequality for projections of non-symmetric convex bodies
Beatrice-Helen Vritsiou
It is shown that every not-necessarily symmetric convex body in has an affine image of such that the covering numbers of by growing…
Further unifying two approaches to the hyperplane conjecture
Beatrice-Helen Vritsiou
We compare and combine two approaches that have been recently introduced by Dafnis and Paouris [DP] and by Klartag and Milman [KM] with the aim of providing bounds for the isotropi…