September 2022. Approximation and robust preconditioning for the low-rank tensor-structured solution of elliptic PDEs at the SIAM Conference on Mathematics of Data Science in San Diego, California, USA.
June 2022. Low-rank tensor frame representation and preconditioning for the numerical solution of PDEs (invited plenary talk) at the Householder Symposium XXI in Selva di Fasano, Italy.
April 2022. Fast and robust multilevel low-rank tensor solvers for elliptic PDEs at the 17th Copper Mountain Conference On Iterative Methods in Copper Mountain, Colorado, USA.
April 2022. Stable multilevel low-rank representation for elliptic PDEs: approximation and preconditioning at the workshop «Adaptivity, High Dimensionality and Randomness» in Vienna, Austria.
July 2021. Simplicial tensor refinement in two and three dimensions at the minisymposium «High order, tensor-structured methods and low rank approximation» of the International Conference on Spectral and High Order Methods (ICOSAHOM) 2020–2021 in Vienna, Austria.
March 2021. Data-driven discretization of PDEs via tensor refinement (invited talk) at the IPAM Workshop «Tensor Methods and their Applications in the Physical and Data Sciences» at Los Angeles, California, USA.
March 2021. Tensor Refinement for Multiscale Diffusion at the section «Multiscales and homogenization» of the 91st GAMM Annual Meeting at the University of Kassel, Germany.
August 2019. Resolving the structure of multiscale diffusion using low-rank tensors: approximation and preconditioning (invited talk) at The 5th International Conference on Matrix Methods in Mathematics and Applications in Moscow, Russia.
July 2019. Low-rank tensor approximation and preconditioning for multiscale problems at the minisymposium «Tensor Methods» of the International Congress on Industrial and Applied Mathematics 2019 in Valencia, Spain.
October 2018. Low-rank tensor approximation for multiscale problems (invited talk) at the workshop «Analysis and Computation in High Dimensions» in Bonn, Germany.
July 2018. Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs at the minisymposium «Low-rank tensors and high-dimensional problems» of the 2018 SIAM Annual Meeting in Portland, Oregon, USA.
June 2018. Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs (invited talk) at the workshop «Interplay of tensor structured formats with advanced PDE discretizations» in Vienna, Austria.
June 2017. Tensor-structured multilevel function approximation: sharper bounds for polynomial and piecewise-analytic functions (invited talk) at The Twentieth Householder Symposium on Numerical Linear Algebra in Blacksburg, VA, USA.
March 2017. Multilevel structure and tensor approximation: new bounds for analytic and piecewise-analytic functions at the minisymposium «Multiscale methods for PDEs: methodology and applications» of the conference «Scaling Cascades in Complex Systems 2017» in Berlin, Germany.
March 2017. Nonlinear approximation of functions by tensor structure at the minisymposium «Nonlinear approximations for high-dimensional problems» of the 88th GAMM Annual Meeting in Weimar, Germany.
February 2017. Low-rank tensor structure in PDEs: on exponential convergence for singular and highly oscillatory solutions (invited talk) at the Junior Seminar of the trimester program «Multiscale Problems: Algorithms, Numerical Analysis and Computation» of the Hausdorff Research Institute for Mathematics in Bonn, Germany.
February 2017. Improved convergence bounds for the tensor-structured multilevel approximation of polynomial and piecewise-analytic functions at the 7th Workshop on Matrix Equations and Tensor Techniques (METT VII) in Pisa, Italy.
July 2016. Tensor-structured finite elements for differential equations on surfaces at the minisymposium «Tensor Methods: Numerical and Computational Aspects» of the International Linear Algebra Society 2016 Meeting in Leuven, Belgium.
January 2016. Tensor-structured approximation of functions with singularities at the Workshop on Tensor Decompositions and Applications 2016 in Leuven, Belgium.
October 2015. Low-rank tensor approximation of singular functions at the minisymposium «High-dimensional approximation in low rank tensor formats» of the 2015 SIAM Conference on Applied Linear Algebra in Atlanta, US.
August 2015. Quantized tensor-structured finite elements for second-order elliptic PDEs in two dimensions at the 4th International Conference on Matrix Methods in Mathematics and Applications in Moscow, Russia.
June 2015. Approximation of singularities by quantized-tensor finite elements (invited poster) at the workshop «Low-rank Optimization and Applications» in Bonn, Germany.
June 2015. Approximation of singularities by quantized-tensor FEM at the 13th European Finite Element Fair in Prague, Czech Republic.
March 2015. Tensor-structured approximation for the solution of differential equations at the minisymposium «Topics in Low-rank Tensor Approximation» of the 86th GAMM Annual Meeting in Lecce, Italy.
June 2014. Tensor-structured treatment of the chemical master equation at the minisymposium «Numerical methods for high-dimensional problems in biology» of the 9th European Conference on Mathematical and Theoretical Biology in Gothenburg, Sweden.
October 2013. The tensor-structured solution of high-dimensional evolution equations (invited talk) at the CMSI International Symposium 2013 «Extending the power of computational materials sciences with K-computer» in Tokyo, Japan.
October 2013. The tensor train decomposition in numerical mathematics (invited talk) at the CMSI Kobe International Workshop 2013 «Recent Progress in Tensor Network Algorithms» in Kobe, Japan.
August 2013. Tensor-structured approach to the master equation at the minisymposium «Low-rank tensor techniques» of the European Numerical Mathematics and Advanced Applications (ENUMATH) conference in Lausanne, Switzerland.
June 2013. hp-DG time stepping for high-dimensional evolution problems with low-rank tensor structure at the minisymposium «Low-rank tensor-based numerical methods» of the International Conference «Mathematics of Finite Elements and Applications 2013» in London, UK.
June 2013. From tensors to wavelets and back at the minisymposium «Multilinear algebra and tensor decompositions» of the International Linear Algebra Society 2013 Meeting in Providence, RI, USA.
May 2013. Direct numerical solution of the chemical master equation using quantized tensor trains (invited talk) at the CECAM workshop «Tensor network algorithms in computational physics and numerical analysis» in Zurich, Switzerland.
August 2012. Low-rank tensor structure of linear diffusion operators in the TT and QTT formats at the minisymposium «High-Dimensional Tensor Numerical Methods» of the International Conference «Computational Methods in Applied Mathematics – 5» in Berlin, Germany.
March 2012. hp-DG-QTT solution of high-dimensional singular time-dependent diffusion equations at the the 83rd GAMM Conference in Darmstadt, Germany.
June 2011. Tensor structure of some structured matrices with applications to efficient operations in the QTT format at the 4th Workshop on High-Dimensional Approximation in Bonn, Germany.
June 2011. Multilevel Toeplitz matrices generated by tensor-structured vectors and convolution with logarithmic complexity at the 3rd International Conference on Matrix Methods in Mathematics and Applications in Moscow, Russia.
January 2011. Explicit QTT representations of the inverse Laplace operator in one dimension and preconditioning of some multi-parametric elliptic problems at the 27th GAMM-Seminar on Approximation of Multiparametric Functions in Leipzig, Germany.
September 2010. On the explicit QTT representation of the Laplace operator and its inverse (invited talk) at the Trilateral workshop on Separation of Variables and Applications in Nice, France.
May 2010. Optimization techniques for the construction of tensor approximations at the Workshop on Tensor Methods in Multi-Dimensional Boundary-Value and Spectral Problems in Leipzig, Germany.
February 2010. Structure of the Hessian and an economical implementation of the Newton Trust Region method for the problem of the low-rank canonical tensor approximation at the 26th GAMM-Seminar on Tensor Approximations and High-Dimensional Problems in Leipzig, Germany.
October 2021. Tensor approximation for discovering and exploiting structure in differential equations (invited talk) within the Data Science Talk Series of the Research Network Data Science of the University of Vienna.
October 2021. Low-rank tensor refinement for the data-driven solution of PDEs (invited talk) at the Mathematical Colloquium of the Faculty of Mathematics of the University of Vienna.
January 2020. Low-rank tensor representation for the structured solution of PDEs (invited talk) at the PDE Afternoon within SFB 65 «Taming Complexity in Partial Differential Systems».
March 2018. Stability of low-rank tensor representations and structured multilevel preconditioning for elliptic PDEs (invited talk) at the Scientific Computing Seminar at the Univerity of Houston, USA.
December 2017. Exploiting low-rank tensor structure for the numerical solution of PDEs (invited talk) at the Applied Mathematics Seminar at Stanford University, USA.
April 2015 The approximation of singular functions with quantized-tensor finite elements in two dimensions (plenary talk) at the Swiss Numerical Analysis Day 2015 in Geneva, Switzerland.
August 2013. Tensor-structured approach to the master equation at the Pro*Doc Retreat 2013 in Disentis, Switzerland.
August 2012. On the numerical tensor-structured solution of high-dimensional Fokker–Planck equations at the Pro*Doc Retreat 2012 in Disentis, Switzerland.
November 2010. On the explicit QTT representation of the Laplace operator and its inverse at the 53rd MIPT Conference «Modern Problems of Fundamental and Applied Sciences» in Moscow, Russia.
October 2010. On the explicit QTT representation of the Laplace operator and its inverse at the Andrey N. Tikhonov Conference by the Department of Computational Mathematics and Cybernetics of the Moscow State University in Moscow, Russia.
November 2009. A Newton-like minimization technique for the canonical tensor approximation (department plenary talk, in Russian) at the 52nd MIPT Conference «Modern Problems of Fundamental and Applied Sciences» in Moscow, Russia. An invited talk at the plenary meeting of the Department of Problems of Physics and Energetics of MIPT.
November 2008. On the problem of canonical tensor decomposition, one method of its solution and its application to derivation of fast matrix algorithms at the 51st MIPT Conference «Modern Problems of Fundamental and Applied Sciences» in Moscow, Russia.
November 2008. On the convergence of an algorithm solving a linear differential game with Hausdorff-continuous cost function at the 51st MIPT Conference «Modern Problems of Fundamental and Applied Sciences» in Dolgoprudny, Russia.