11 citations · 19 across the 3 of their papers we have counts for
4 papers
GeoAdaLer: Geometric Insights into Adaptive Stochastic Gradient Descent Algorithms
Chinedu Eleh, Masuzyo Mwanza, Ekene Aguegboh +1
The Adam optimization method has achieved remarkable success in addressing contemporary challenges in stochastic optimization. This method falls within the realm of adaptive sub-gr…
Power-Law Noises over General Spatial Domains and on Non-Standard Meshes
Hans-Werner van Wyk, Max Gunzburger, John Burkardt +1
Power-law noises abound in nature and have been observed extensively in both time series and spatially varying environmental parameters. Although, recent years have seen the extens…
Gradient-Based Estimation of Uncertain Parameters for Elliptic Partial Differential Equations
Jeff Borggaard, Hans-Werner van Wyk
This paper addresses the estimation of uncertain distributed diffusion coefficients in elliptic systems based on noisy measurements of the model output. We formulate the parameter…
Multilevel Sparse Grid Methods for Elliptic Partial Differential Equations with Random Coefficients
Hans-Werner van Wyk
Stochastic sampling methods are arguably the most direct and least intrusive means of incorporating parametric uncertainty into numerical simulations of partial differential equati…