4 papers
Balancing fractional Brownian motion
Hengrui Luo, Yiming Xu
We study the discrepancy of balancing independent sample paths of fractional Brownian motion with Hurst exponent on , an infinite-dimensional analogue of bal…
Hybrid least squares for learning functions from highly noisy data
Ben Adcock, Bernhard Hientzsch, Akil Narayan +1
Motivated by the need for efficient estimation of conditional expectations, we consider a least-squares function approximation problem with heavily polluted data. Existing methods…
Optimally balancing exploration and exploitation to automate multi-fidelity statistical estimation
Thomas Dixon, Alex Gorodetsky, John Jakeman +2
Multi-fidelity methods that use an ensemble of models to compute a Monte Carlo estimator of the expectation of a high-fidelity model can significantly reduce computational costs co…
Fast algorithms for least square problems with Kronecker lower subsets
Osman Asif Malik, Yiming Xu, Nuojin Cheng +3
While leverage score sampling provides powerful tools for approximating solutions to large least squares problems, the cost of computing exact scores and sampling often prohibits p…