4 papers
Efficient error estimators for Generalized Nyström
Lorenzo Lazzarino, Katherine J. Pearce, Nathaniel Pritchard
Randomized algorithms in numerical linear algebra have proven to be effective in ameliorating issues of scalability when working with large matrices, efficiently producing accurate…
Fast Rank Adaptive CUR via a Recycled Small Sketch
Nathaniel Pritchard, Taejun Park, Yuji Nakatsukasa +1
The computation of accurate low-rank matrix approximations is central to improving the scalability of various techniques in machine learning, uncertainty quantification, and contro…
Scientific Applications Leveraging Randomized Linear Algebra
Vivak Patel, D. Adrian Maldonado, Maksim Melnichenko +5
This report showcases the role of, and future directions for, the field of Randomized Numerical Linear Algebra (RNLA) in a selection of scientific applications. These applications…
Demarcating Geographic Regions using Community Detection in Commuting Networks with Significant Self-Loops
Mark He, Joseph Glasser, Nathaniel Pritchard +2
We develop a method to identify statistically significant communities in a weighted network with a high proportion of self-looping weights. We use this method to find overlapping a…