A. Owen

activity

20072023

most citedBi-cross-validation of the SVD and the nonnegative matrix factorization

167 citations · 825 across the 73 of their papers we have counts for

collaborators

Showing 2023 · math.NAShow all

3 papers · 2 filters

math.NA2023

Computable error bounds for quasi-Monte Carlo using points with non-negative local discrepancy

Michael Gnewuch, Peter Kritzer, Art B. Owen +1

Let $f : [0, 1]^{d} \to R$ be a completely monotone integrand as defined by Aistleitner and Dick (2015) and let points $x_{0}, \dots, x_{n - 1} \in [0, 1]^{d}$ hav…

math.NA2023

Gain coefficients for scrambled Halton points

Art B. Owen, Zexin Pan

Randomized quasi-Monte Carlo, via certain scramblings of digital nets, produces unbiased estimates of $\int_{[0, 1]^{d}} f (x) d x$ with a variance th…

math.NA2023

Mean dimension of radial basis functions

Christopher Hoyt, Art B. Owen

We show that generalized multiquadric radial basis functions (RBFs) on $R^{d}$ have a mean dimension that is $1 + O (1/ d)$ as $d \to \infty$ with an explicit bound for the implie…