102 citations · 219 across the 18 of their papers we have counts for
24 papers
Uncertainty quantification in coastal aquifers using the multilevel Monte Carlo method
Alexander Litvinenko, Dmitry Logashenko, Raul Tempone +2
We consider a class of density-driven flow problems. We are particularly interested in the problem of the salinization of coastal aquifers. We consider the Henry saltwater intrusio…
Computing f-Divergences and Distances of High-Dimensional Probability Density Functions -- Low-Rank Tensor Approximations
Alexander Litvinenko, Youssef Marzouk, Hermann G. Matthies +2
Very often, in the course of uncertainty quantification tasks or data analysis, one has to deal with high-dimensional random variables (RVs). A high-dimensional RV can be described…
Identification of unknown parameters and prediction with hierarchical matrices
Alexander Litvinenko, Ronald Kriemann, Vladimir Berikov
Statistical analysis of massive datasets very often implies expensive linear algebra operations with large dense matrices. Typical tasks are an estimation of unknown parameters of…
Solving weakly supervised regression problem using low-rank manifold regularization
Vladimir Berikov, Alexander Litvinenko
We solve a weakly supervised regression problem. Under "weakly" we understand that for some training points the labels are known, for some unknown, and for others uncertain due to…
Solution of the 3D density-driven groundwater flow problem with uncertain porosity and permeability
Alexander Litvinenko, Dmitry Logashenko, Raul Tempone +2
As groundwater is an essential nutrition and irrigation resource, its pollution may lead to catastrophic consequences. Therefore, accurate modeling of the pollution of the soil and…
Post-Processing of High-Dimensional Data
Mike Espig, Wolfgang Hackbusch, Alexander Litvinenko +2
Scientific computations or measurements may result in huge volumes of data. Often these can be thought of representing a real-valued function on a high-dimensional domain, and can…