4 citations · 6 across the 7 of their papers we have counts for
7 papers
The Sobolev extension problem on trees and in the plane
Jacob Carruth, Arie Israel
Let be a finite tree with radially decaying weights. We show that there exists a set for which the following two problems are equivalent: (1) Given a (…
An example related to Whitney's extension problem for when
Jacob Carruth, Arie Israel
In this paper, we prove the existence of a bounded linear extension operator when , where is a cer…
Controlling Unknown Linear Dynamics with Bounded Multiplicative Regret
Jacob Carruth, Maximilian F. Eggl, Charles Fefferman +2
We consider a simple control problem in which the underlying dynamics depend on a parameter that is unknown and must be learned. We exhibit a control strategy which is optimal to w…
The norm of linear extension operators for
Jacob Carruth, Abraham Frei-Pearson, Arie Israel
Fix integers , . We prove the existence of a bounded linear extension operator for with operator norm at most , where $D := \binom{m+n…
A coordinate-free proof of the finiteness principle for the Whitney extension problem
Jacob Carruth, Abraham Frei-Pearson, Arie Israel +1
We present a coordinate-free version of Fefferman's solution of Whitney's extension problem in the space . While the original argument relies on an elabora…
The Beurling-Selberg Box Minorant Problem via Linear Programming Bounds
Jacob Carruth, Noam Elkies, Felipe Gonçalves +1
In this paper we investigate a high dimensional version of Selberg's minorant problem for the indicator function of an interval. In particular, we study the corresponding problem o…
A comparison of the discrete Kolmogorov-Smirnov statistic and the Euclidean distance
Jacob Carruth, Mark Tygert, Rachel Ward
Goodness-of-fit tests gauge whether a given set of observations is consistent (up to expected random fluctuations) with arising as independent and identically distributed (i.i.d.)…