Selected Publications
Quasioptimal alternating projections and their use in low-rank approximation of matrices and tensors
When big data actually are low-rank, or entrywise approximation of certain function-generated matrices
Matrices over a Hilbert space and their low-rank cross approximation
Numerical stability analysis of large language models
Awarded Funding
Austrian Science Fund (FWF)
Sole PI, €350k, 3 years
Adaptive low-rank interpolation for parametric MOR and PDEs
Austrian Academy of Sciences (ÖAW)
Sole PI, €52k, 1 year
Bochner matrices: The approximation of matrices with infinite-dimensional entries
Russian Science Foundation
Sole PI, €210k, 3 years
Completion methods for multidimensional data and their applications
Russian Foundation for Basic Research
Co-PI, €15k, 2 years
Development of analytical and numerical methods to study pattern formation in delayed quasilinear diffusion equations on thin domains
Participation in Projects
Numerical analysis of the training instability of large language models
Huawei Technologies,
2025–2027
Taming complexity in partial differential systems
Austrian Science Fund (FWF),
2023–2024
Distributed computation of MIMO precoders
Huawei Technologies,
2022–2023
Automotive-radar sparse signal processing
Huawei Technologies,
2020–2021
Tensor-based signal processing in massive MIMO
Huawei Technologies,
2020–2021
Sparse measurements for MIMO super resolution
Huawei Technologies,
2018–2019
Adaptive optical laser ophthalmoscopy for diagnosis and treatment of inflammatory diseases of the fundus
Russian Foundation for Basic Research,
2018–2020