38 citations · 107 across the 17 of their papers we have counts for
18 papers
(Don't) Mind the Gap
Natalie Priebe Frank, May Mei, Kitty Yang
Infinite sequences are of tremendous theoretical and practical importance, and in the Information Age sequences of 0s and 1s are of particular interest. Over the past century, the…
The Price of Implicit Bias in Adversarially Robust Generalization
Nikolaos Tsilivis, Natalie Frank, Nathan Srebro +1
We study the implicit bias of optimization in robust empirical risk minimization (robust ERM) and its connection with robust generalization. In classification settings under advers…
Spectral theory of spin substitutions
Natalie Priebe Frank, Neil Mañibo
We introduce qubit substitutions in , which have non-rectangular domains based on an endomorphism of and a set of coset representativ…
Flow views and infinite interval exchange transformations for recognizable substitutions
Natalie Priebe Frank
A flow view is the graph of a measurable conjugacy between a substitution or S-adic subshift and an exchange of infinitely many intervals in , where $…
Three variations on a theme by Fibonacci
Michael Baake, Natalie Priebe Frank, Uwe Grimm
Several variants of the classic Fibonacci inflation tiling are considered in an illustrative fashion, in one and in two dimensions, with an eye on changes or robustness of diffract…
The frog model on trees with drift
Erin Beckman, Natalie Frank, Yufeng Jiang +2
We provide a uniform upper bound on the minimal drift so that the one-per-site frog model on a -ary tree is recurrent. To do this, we introduce a subprocess that couples across…