Uncertainties Quantification and Data Compression in numerical Aerodynamics
Low-rank tensor methods for stochastic forward and inverse problems
My PhD talk "Application of H-matrices for computing partial inverse"
Possible applications of low-rank tensors in statistics and UQ (my talk in Bonn, Germany)
My PhD on 4 pages
Data sparse approximation of the Karhunen-Loeve expansion
Application H-matrices for solving PDEs with multi-scale coefficients, jumping and strongly oscillatory coefficients
My paper for Domain Decomposition Conference in Strobl, Austria, 2005
Multi-linear algebra and different tensor formats with applications
Tensor train to solve stochastic PDEs
Connection between inverse problems and uncertainty quantification problems
Application of hierarchical matrices for partial inverse
add_2_diplom_main
Efficient Analysis of high-dimensional data in tensor formats
Sampling and low-rank tensor approximations
A nonlinear approximation of the Bayesian Update formula
Scalable hierarchical algorithms for stochastic PDEs and UQ
Low-rank methods for analysis of high-dimensional data (SIAM CSE talk 2017)
Tensor Completion for PDEs with uncertain coefficients and Bayesian Update techniques