Nicholas F. Marshall

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20162026

most citedExtracting Geography from Trade Data

3 citations · 5 across the 7 of their papers we have counts for

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math.CA2019

Randomized mixed Hölder function approximation in higher-dimensions

Nicholas F. Marshall

The purpose of this paper is to extend the result of arXiv:1810.00823 to mixed Hölder functions on $[0, 1]^{d}$ for all $d \geq 1$ . In particular, we prove that by sampling an $α$ -mixe…

math.CA2018

Approximating mixed Hölder functions using random samples

Nicholas F. Marshall

Suppose $f : [0, 1]^{2} \to R$ is a $(c, α)$ -mixed Hölder function that we sample at $l$ points $X_{1}, \dots, X_{l}$ chosen uniformly at random from the unit square. Let t…

math.CA2016

Time Coupled Diffusion Maps

Nicholas F. Marshall, Matthew J. Hirn

We consider a collection of $n$ points in $R^{d}$ measured at $m$ times, which are encoded in an $n \times d \times m$ data tensor. Our objective is to define a single embed…