5 citations · 9 across the 8 of their papers we have counts for
10 papers
Robust Parameter Identifiability Analysis via Column Subset Selection
Katherine J. Pearce, Ilse C. F. Ipsen, Mansoor A. Haider +2
We advocate a numerically reliable and accurate approach for practical parameter identifiability analysis: Applying column subset selection (CSS) to the sensitivity matrix, instead…
Precision-aware Deterministic and Probabilistic Error Bounds for Floating Point Summation
Eric Hallman, Ilse C. F. Ipsen
We analyze the forward error in the floating point summation of real numbers, for computations in low precision or extreme-scale problem dimensions that push the limits of the prec…
Monte Carlo Methods for Estimating the Diagonal of a Real Symmetric Matrix
Eric Hallman, Ilse C. F. Ipsen, Arvind Saibaba
For real symmetric matrices that are accessible only through matrix vector products, we present Monte Carlo estimators for computing the diagonal elements. Our probabilistic bounds…
Deterministic and Probabilistic Error Bounds for Floating Point Summation Algorithms
Eric Hallman, Ilse C. F. Ipsen
We analyse the forward error in the floating point summation of real numbers, from algorithms that do not require recourse to higher precision or better hardware. We derive informa…
SEAGLE: A Scalable Exact Algorithm for Large-Scale Set-Based GxE Tests in Biobank Data
Jocelyn T. Chi, Ilse C. F. Ipsen, Tzu-Hung Hsiao +5
The explosion of biobank data offers immediate opportunities for gene-environment (GxE) interaction studies of complex diseases because of the large sample sizes and the rich colle…
Probabilistic Iterative Methods for Linear Systems
Jon Cockayne, Ilse C. F. Ipsen, Chris J. Oates +1
This paper presents a probabilistic perspective on iterative methods for approximating the solution of a nonsingular linear system $\mathbf{A} \math…