Ivan V. Oseledets

Orcid: 0000-0003-2071-2163

Affiliations:
  • Skolkovo Institute of Science and Technology, Moscow, Russia


According to our database1, Ivan V. Oseledets authored at least 224 papers between 2008 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
Multiparticle Kalman filter for object localization in symmetric environments.
Expert Syst. Appl., March, 2024

Neural operators meet conjugate gradients: The FCG-NO method for efficient PDE solving.
CoRR, 2024

Neural functional a posteriori error estimates.
CoRR, 2024

Smart Flow Matching: On The Theory of Flow Matching Algorithms with Applications.
CoRR, 2024

Black-Box Approximation and Optimization with Hierarchical Tucker Decomposition.
CoRR, 2024

LoTR: Low Tensor Rank Weight Adaptation.
CoRR, 2024

TQCompressor: improving tensor decomposition methods in neural networks via permutations.
CoRR, 2024

Sparse and Transferable Universal Singular Vectors Attack.
CoRR, 2024

Fast gradient-free activation maximization for neurons in spiking neural networks.
CoRR, 2024

Probabilistically Robust Watermarking of Neural Networks.
CoRR, 2024

The Shape of Learning: Anisotropy and Intrinsic Dimensions in Transformer-Based Models.
Proceedings of the Findings of the Association for Computational Linguistics: EACL 2024, 2024

2023
Fast cross tensor approximation for image and video completion.
Signal Process., December, 2023

Black Box Approximation in the Tensor Train Format Initialized by ANOVA Decomposition.
SIAM J. Sci. Comput., August, 2023

Benchmark for Building Segmentation on Up-Scaled Sentinel-2 Imagery.
Remote. Sens., May, 2023

Local convergence of alternating low-rank optimization methods with overrelaxation.
Numer. Linear Algebra Appl., May, 2023

An event-triggered iteratively reweighted convex optimization approach to multi-period portfolio selection.
Expert Syst. Appl., April, 2023

Extension of Dynamic Mode Decomposition for dynamic systems with incomplete information based on t-model of optimal prediction.
J. Comput. Phys., March, 2023

Tensor Extrema Estimation Via Sampling: A New Approach for Determining Minimum/Maximum Elements.
Comput. Sci. Eng., 2023

Tensor Train Decomposition for Adversarial Attacks on Computer Vision Models.
CoRR, 2023

Dynamic Collaborative Filtering for Matrix- and Tensor-based Recommender Systems.
CoRR, 2023

TERM Model: Tensor Ring Mixture Model for Density Estimation.
CoRR, 2023

Run LoRA Run: Faster and Lighter LoRA Implementations.
CoRR, 2023

Memory-efficient particle filter recurrent neural network for object localization.
CoRR, 2023

General Lipschitz: Certified Robustness Against Resolvable Semantic Transformations via Transformation-Dependent Randomized Smoothing.
CoRR, 2023

On the structure of the Schur complement matrix for the Stokes equation.
CoRR, 2023

Unsupervised evaluation of GAN sample quality: Introducing the TTJac Score.
CoRR, 2023

Robust GAN inversion.
CoRR, 2023

Quantization Aware Factorization for Deep Neural Network Compression.
CoRR, 2023

On the efficient preconditioning of the Stokes equations in tight geometries.
CoRR, 2023

Efficient GPT Model Pre-training using Tensor Train Matrix Representation.
CoRR, 2023

Bridging Spectral Embedding and Matrix Completion in Self-Supervised Learning.
CoRR, 2023

Adaptive Cross Tubal Tensor Approximation.
CoRR, 2023

TT-SDF2PC: Registration of Point Cloud and Compressed SDF Directly in the Memory-Efficient Tensor Train Domain.
CoRR, 2023

Translate your gibberish: black-box adversarial attack on machine translation systems.
CoRR, 2023

Federated Privacy-preserving Collaborative Filtering for On-Device Next App Prediction.
CoRR, 2023

Machine learning methods for prediction of breakthrough curves in reactive porous media.
CoRR, 2023

Mitigating Human and Computer Opinion Fraud via Contrastive Learning.
CoRR, 2023

PseudoAugment: Enabling Smart Checkout Adoption for New Classes Without Human Annotation.
IEEE Access, 2023

Tensor-Based Sequential Learning via Hankel Matrix Representation for Next Item Recommendations.
IEEE Access, 2023

Fast Adaptive Cross Tubal Tensor Approximation.
Proceedings of the IEEE Statistical Signal Processing Workshop, 2023

Efficient GPT Model Pre-training using Tensor Train Matrix Representation.
Proceedings of the 37th Pacific Asia Conference on Language, 2023

Neural Harmonics: Bridging Spectral Embedding and Matrix Completion in Self-Supervised Learning.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

PROTES: Probabilistic Optimization with Tensor Sampling.
Proceedings of the Advances in Neural Information Processing Systems 36: Annual Conference on Neural Information Processing Systems 2023, 2023

Feature-Based Pipeline for Improving Unsupervised Anomaly Segmentation on Medical Images.
Proceedings of the Uncertainty for Safe Utilization of Machine Learning in Medical Imaging, 2023

Few-bit Backward: Quantized Gradients of Activation Functions for Memory Footprint Reduction.
Proceedings of the International Conference on Machine Learning, 2023

General Covariance Data Augmentation for Neural PDE Solvers.
Proceedings of the International Conference on Machine Learning, 2023

Constructive TT-representation of the tensors given as index interaction functions with applications.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

Understanding DDPM Latent Codes Through Optimal Transport.
Proceedings of the Eleventh International Conference on Learning Representations, 2023

Layerwise universal adversarial attack on NLP models.
Proceedings of the Findings of the Association for Computational Linguistics: ACL 2023, 2023

2022
Quantized Tensor FEM for Multiscale Problems: Diffusion Problems in Two and Three Dimensions.
Multiscale Model. Simul., September, 2022

Automatic Differentiation for Riemannian Optimization on Low-Rank Matrix and Tensor-Train Manifolds.
SIAM J. Sci. Comput., 2022

A Single Image Deep Learning Approach to Restoration of Corrupted Landsat-7 Satellite Images.
Sensors, 2022

Bayesian Aggregation Improves Traditional Single-Image Crop Classification Approaches.
Sensors, 2022

A Survey of Computer Vision Techniques for Forest Characterization and Carbon Monitoring Tasks.
Remote. Sens., 2022

Augmentation-Based Methodology for Enhancement of Trees Map Detalization on a Large Scale.
Remote. Sens., 2022

Direct optimization of BPX preconditioners.
J. Comput. Appl. Math., 2022

FMM-Net: neural network architecture based on the Fast Multipole Method.
CoRR, 2022

NAG-GS: Semi-Implicit, Accelerated and Robust Stochastic Optimizers.
CoRR, 2022

Optimization of Functions Given in the Tensor Train Format.
CoRR, 2022

A case study of spatiotemporal forecasting techniques for weather forecasting.
CoRR, 2022

Eco2AI: carbon emissions tracking of machine learning models as the first step towards sustainable AI.
CoRR, 2022

Cross Tensor Approximation for Image and Video Completion.
CoRR, 2022

Tensor networks in machine learning.
CoRR, 2022

Spectral Neural Operators.
CoRR, 2022

Tensor-based Collaborative Filtering With Smooth Ratings Scale.
CoRR, 2022

Are Quantum Computers Practical Yet? A Case for Feature Selection in Recommender Systems using Tensor Networks.
CoRR, 2022

On the Performance of Machine Learning Methods for Breakthrough Curve Prediction.
CoRR, 2022

Survey on Large Scale Neural Network Training.
CoRR, 2022

Understanding DDPM Latent Codes Through Optimal Transport.
CoRR, 2022

Memory-Efficient Backpropagation through Large Linear Layers.
CoRR, 2022

Denoising Score Matching via Random Fourier Features.
IEEE Access, 2022

XtremeAugment: Getting More From Your Data Through Combination of Image Collection and Image Augmentation.
IEEE Access, 2022

Estimation of the Canopy Height Model From Multispectral Satellite Imagery With Convolutional Neural Networks.
IEEE Access, 2022

Geometry-Inspired Top-k Adversarial Perturbations.
Proceedings of the IEEE/CVF Winter Conference on Applications of Computer Vision, 2022

TTOpt: A Maximum Volume Quantized Tensor Train-based Optimization and its Application to Reinforcement Learning.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Smoothed Embeddings for Certified Few-Shot Learning.
Proceedings of the Advances in Neural Information Processing Systems 35: Annual Conference on Neural Information Processing Systems 2022, 2022

Survey on Efficient Training of Large Neural Networks.
Proceedings of the Thirty-First International Joint Conference on Artificial Intelligence, 2022

Hyperbolic Vision Transformers: Combining Improvements in Metric Learning.
Proceedings of the IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2022

T4DT: Tensorizing Time for Learning Temporal 3D Visual Data.
Proceedings of the 33rd British Machine Vision Conference 2022, 2022

CC-CERT: A Probabilistic Approach to Certify General Robustness of Neural Networks.
Proceedings of the Thirty-Sixth AAAI Conference on Artificial Intelligence, 2022

2021
Neural-Based Hierarchical Approach for Detailed Dominant Forest Species Classification by Multispectral Satellite Imagery.
IEEE J. Sel. Top. Appl. Earth Obs. Remote. Sens., 2021

Generation of the NIR Spectral Band for Satellite Images with Convolutional Neural Networks.
Sensors, 2021

MixChannel: Advanced Augmentation for Multispectral Satellite Images.
Remote. Sens., 2021

FREDE: Anytime Graph Embeddings.
Proc. VLDB Endow., 2021

Randomized algorithms for fast computation of low rank tensor ring model.
Mach. Learn. Sci. Technol., 2021

QTT-isogeometric solver in two dimensions.
J. Comput. Phys., 2021

Solution of the Fokker-Planck Equation by Cross Approximation Method in the Tensor Train Format.
Frontiers Artif. Intell., 2021

Object-Based Augmentation Improves Quality of Remote SensingSemantic Segmentation.
CoRR, 2021

Optimal soil sampling design based on the maxvol algorithm.
CoRR, 2021

Meta-Solver for Neural Ordinary Differential Equations.
CoRR, 2021

Disentangled Representations from Non-Disentangled Models.
CoRR, 2021

Denoising Score Matching with Random Fourier Features.
CoRR, 2021

Latency Estimation Tool and Investigation of Neural Networks Inference on Mobile GPU.
Comput., 2021

Two-phase approaches to optimal model-based design of experiments: how many experiments and which ones?
Comput. Chem. Eng., 2021

Cross Tensor Approximation Methods for Compression and Dimensionality Reduction.
IEEE Access, 2021

Randomized Algorithms for Computation of Tucker Decomposition and Higher Order SVD (HOSVD).
IEEE Access, 2021

Dynamic Modeling of User Preferences for Stable Recommendations.
Proceedings of the 29th ACM Conference on User Modeling, Adaptation and Personalization, 2021

Tensor-train density estimation.
Proceedings of the Thirty-Seventh Conference on Uncertainty in Artificial Intelligence, 2021

Deep Neural Networks and Adaptive Quadrature for Solving Variational Problems.
Proceedings of the Large-Scale Scientific Computing - 13th International Conference, 2021

Functional Space Analysis of Local GAN Convergence.
Proceedings of the 38th International Conference on Machine Learning, 2021

Object-Based Augmentation for Building Semantic Segmentation: Ventura and Santa Rosa Case Study.
Proceedings of the IEEE/CVF International Conference on Computer Vision Workshops, 2021

Latent Transformations via NeuralODEs for GAN-based Image Editing.
Proceedings of the 2021 IEEE/CVF International Conference on Computer Vision, 2021

A New Multi-objective Approach to Optimize Irrigation Using a Crop Simulation Model and Weather History.
Proceedings of the Computational Science - ICCS 2021, 2021

Adversarial Turing Patterns from Cellular Automata.
Proceedings of the Thirty-Fifth AAAI Conference on Artificial Intelligence, 2021

2020
Tensor Networks for Latent Variable Analysis: Higher Order Canonical Polyadic Decomposition.
IEEE Trans. Neural Networks Learn. Syst., 2020

Active Subspace of Neural Networks: Structural Analysis and Universal Attacks.
SIAM J. Math. Data Sci., 2020

Tensor Completion via Gaussian Process-Based Initialization.
SIAM J. Sci. Comput., 2020

Tensor Train Decomposition on TensorFlow (T3F).
J. Mach. Learn. Res., 2020

Black-box learning of multigrid parameters.
J. Comput. Appl. Math., 2020

Robustness Threats of Differential Privacy.
CoRR, 2020

Follow the bisector: a simple method for multi-objective optimization.
CoRR, 2020

FREDE: Linear-Space Anytime Graph Embeddings.
CoRR, 2020

Tensorized Transformer for Dynamical Systems Modeling.
CoRR, 2020

Simple heuristics for efficient parallel tensor contraction and quantum circuit simulation.
CoRR, 2020

Towards Understanding Normalization in Neural ODEs.
CoRR, 2020

Stochastic gradient algorithms from ODE splitting perspective.
CoRR, 2020

A single image deep learning approach to restoration of corrupted remote sensing products.
CoRR, 2020

Bayesian aggregation improves traditional single image crop classification approaches.
CoRR, 2020

Interpolated Adjoint Method for Neural ODEs.
CoRR, 2020

Using Reinforcement Learning in the Algorithmic Trading Problem.
CoRR, 2020

Deep Representation Learning for Dynamical Systems Modeling.
CoRR, 2020

Randomized Algorithms for Computation of Tucker decomposition and Higher Order SVD (HOSVD).
CoRR, 2020

Simple non-extensive sparsification of the hierarchical matrices.
Adv. Comput. Math., 2020

Performance of Hyperbolic Geometry Models on Top-N Recommendation Tasks.
Proceedings of the RecSys 2020: Fourteenth ACM Conference on Recommender Systems, 2020

Interpolation Technique to Speed Up Gradients Propagation in Neural ODEs.
Proceedings of the Advances in Neural Information Processing Systems 33: Annual Conference on Neural Information Processing Systems 2020, 2020

TT-TSDF: Memory-Efficient TSDF with Low-Rank Tensor Train Decomposition.
Proceedings of the IEEE/RSJ International Conference on Intelligent Robots and Systems, 2020

The Shape of Data: Intrinsic Distance for Data Distributions.
Proceedings of the 8th International Conference on Learning Representations, 2020

Sensitivity Analysis of Soil Parameters in Crop Model Supported with High-Throughput Computing.
Proceedings of the Computational Science - ICCS 2020, 2020

Tensorized Embedding Layers.
Proceedings of the Findings of the Association for Computational Linguistics: EMNLP 2020, 2020

Stable Low-Rank Tensor Decomposition for Compression of Convolutional Neural Network.
Proceedings of the Computer Vision - ECCV 2020, 2020

Hyperbolic Image Embeddings.
Proceedings of the 2020 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 2020

2019
Low-rank Riemannian eigensolver for high-dimensional Hamiltonians.
J. Comput. Phys., 2019

An adaptive algorithm for quantum circuit simulation.
CoRR, 2019

Growing axons: greedy learning of neural networks with application to function approximation.
CoRR, 2019

Graph Convolutional Policy for Solving Tree Decomposition via Reinforcement Learning Heuristics.
CoRR, 2019

Reduced-Order Modeling of Deep Neural Networks.
CoRR, 2019

Predicting dynamical system evolution with residual neural networks.
CoRR, 2019

Practical shift choice in the shift-and-invert Krylov subspace evaluations of the matrix exponential.
CoRR, 2019

Recognition of Russian traffic signs in winter conditions. Solutions of the "Ice Vision" competition winners.
CoRR, 2019

Microstructure synthesis using style-based generative adversarial network.
CoRR, 2019

Empirical study of extreme overfitting points of neural networks.
CoRR, 2019

Universality Theorems for Generative Models.
CoRR, 2019

Intrinsic Multi-scale Evaluation of Generative Models.
CoRR, 2019

One time is not enough: iterative tensor decomposition for neural network compression.
CoRR, 2019

Preconditioning Kaczmarz method by sketching.
CoRR, 2019

Tensorized Embedding Layers for Efficient Model Compression.
CoRR, 2019

Deep Neural Networks Predicting Oil Movement in a Development Unit.
CoRR, 2019

Approximate Solution of Linear Systems with Laplace-like Operators via Cross Approximation in the Frequency Domain.
Comput. Methods Appl. Math., 2019

Tensor Train Spectral Method for Learning of Hidden Markov Models (HMM).
Comput. Methods Appl. Math., 2019

HybridSVD: when collaborative information is not enough.
Proceedings of the 13th ACM Conference on Recommender Systems, 2019

IceVisionSet: lossless video dataset collected on Russian winter roads with traffic sign annotations.
Proceedings of the International Conference on Robotics and Automation, 2019

PROVEN: Verifying Robustness of Neural Networks with a Probabilistic Approach.
Proceedings of the 36th International Conference on Machine Learning, 2019

Generalized Tensor Models for Recurrent Neural Networks.
Proceedings of the 7th International Conference on Learning Representations, 2019

Automated Multi-Stage Compression of Neural Networks.
Proceedings of the 2019 IEEE/CVF International Conference on Computer Vision Workshops, 2019

2018
"Compress and Eliminate" Solver for Symmetric Positive Definite Sparse Matrices.
SIAM J. Sci. Comput., 2018

Jacobi-Davidson Method on Low-Rank Matrix Manifolds.
SIAM J. Sci. Comput., 2018

Alternating Least Squares as Moving Subspace Correction.
SIAM J. Numer. Anal., 2018

Desingularization of Bounded-Rank Matrix Sets.
SIAM J. Matrix Anal. Appl., 2018

Pervasive Agriculture: IoT-Enabled Greenhouse for Plant Growth Control.
IEEE Pervasive Comput., 2018

Convergence analysis of projected fixed-point iteration on a low-rank matrix manifold.
Numer. Linear Algebra Appl., 2018

PROVEN: Certifying Robustness of Neural Networks with a Probabilistic Approach.
CoRR, 2018

Adversarial point set registration.
CoRR, 2018

Modelling hidden structure of signals in group data analysis with modified (Lr, 1) and block-term decompositions.
CoRR, 2018

Revealing the Unobserved by Linking Collaborative Behavior and Side Knowledge.
CoRR, 2018

Comparative study of Discrete Wavelet Transforms and Wavelet Tensor Train decomposition to feature extraction of FTIR data of medicinal plants.
CoRR, 2018

Gradient Descent-based D-optimal Design for the Least-Squares Polynomial Approximation.
CoRR, 2018

Quadrature-based features for kernel approximation.
Proceedings of the Advances in Neural Information Processing Systems 31: Annual Conference on Neural Information Processing Systems 2018, 2018

AA-ICP: Iterative Closest Point with Anderson Acceleration.
Proceedings of the 2018 IEEE International Conference on Robotics and Automation, 2018

Geometry Score: A Method For Comparing Generative Adversarial Networks.
Proceedings of the 35th International Conference on Machine Learning, 2018

Expressive power of recurrent neural networks.
Proceedings of the 6th International Conference on Learning Representations, 2018

Art of Singular Vectors and Universal Adversarial Perturbations.
Proceedings of the 2018 IEEE Conference on Computer Vision and Pattern Recognition, 2018

Matrix Factorization for Collaborative Recommendations.
Proceedings of the Collaborative Recommendations, 2018

2017
Tensor methods and recommender systems.
WIREs Data Mining Knowl. Discov., 2017

Time- and memory-efficient representation of complex mesoscale potentials.
J. Comput. Phys., 2017

Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 2 Applications and Future Perspectives.
Found. Trends Mach. Learn., 2017

Neural networks for topology optimization.
CoRR, 2017

Tensor Networks for Dimensionality Reduction and Large-Scale Optimizations. Part 2 Applications and Future Perspectives.
CoRR, 2017

Vico-Greengard-Ferrando quadratures in the tensor solver for integral equations.
CoRR, 2017

Fast, memory-efficient low-rank approximation of SimRank.
J. Complex Networks, 2017

QTT-finite-element approximation for multiscale problems I: model problems in one dimension.
Adv. Comput. Math., 2017

Exponential Machines.
Proceedings of the 5th International Conference on Learning Representations, 2017

Riemannian Optimization for Skip-Gram Negative Sampling.
Proceedings of the 55th Annual Meeting of the Association for Computational Linguistics, 2017

2016
Iterative representing set selection for nested cross approximation.
Numer. Linear Algebra Appl., 2016

Grid-based electronic structure calculations: The tensor decomposition approach.
J. Comput. Phys., 2016

A low-rank approach to the computation of path integrals.
J. Comput. Phys., 2016

Tensor Networks for Dimensionality Reduction and Large-scale Optimization: Part 1 Low-Rank Tensor Decompositions.
Found. Trends Mach. Learn., 2016

Tensor Train polynomial models via Riemannian optimization.
CoRR, 2016

Low-Rank Tensor Networks for Dimensionality Reduction and Large-Scale Optimization Problems: Perspectives and Challenges PART 1.
CoRR, 2016

A new approach for sparse Bayesian channel estimation in SCMA uplink systems.
Proceedings of the 8th International Conference on Wireless Communications & Signal Processing, 2016

Fifty Shades of Ratings: How to Benefit from a Negative Feedback in Top-N Recommendations Tasks.
Proceedings of the 10th ACM Conference on Recommender Systems, 2016

Efficient Rectangular Maximal-Volume Algorithm for Rating Elicitation in Collaborative Filtering.
Proceedings of the IEEE 16th International Conference on Data Mining, 2016

2015
Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition.
IEEE Trans. Comput. Aided Des. Integr. Circuits Syst., 2015

Fast Multidimensional Convolution in Low-Rank Tensor Formats via Cross Approximation.
SIAM J. Sci. Comput., 2015

Time Integration of Tensor Trains.
SIAM J. Numer. Anal., 2015

From Low-Rank Approximation to a Rational Krylov Subspace Method for the Lyapunov Equation.
SIAM J. Matrix Anal. Appl., 2015

Fast low-rank approximations of multidimensional integrals in ion-atomic collisions modelling.
Numer. Linear Algebra Appl., 2015

Tensor SimRank for Heterogeneous Information Networks.
CoRR, 2015

Linear complexity SimRank computation based on the iterative diagonal estimation.
CoRR, 2015

Rectangular maximum-volume submatrices and their applications.
CoRR, 2015

Speeding-up Convolutional Neural Networks Using Fine-tuned CP-Decomposition.
Proceedings of the 3rd International Conference on Learning Representations, 2015

Low-rank retractions: a survey and new results.
Comput. Optim. Appl., 2015

2014
The DEPOSIT computer code based on the low rank approximations.
Comput. Phys. Commun., 2014

Computation of extreme eigenvalues in higher dimensions using block tensor train format.
Comput. Phys. Commun., 2014

Algebraic reputation model RepRank and its application to spambot detection.
CoRR, 2014

Fast, memory efficient low-rank approximation of SimRank.
CoRR, 2014

Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation.
Comput. Math. Appl., 2014

A computationally efficient technique for the solution of multi-dimensional PBMs of granulation via tensor decomposition.
Comput. Chem. Eng., 2014

2012
Solution of Linear Systems and Matrix Inversion in the TT-Format.
SIAM J. Sci. Comput., 2012

Wedderburn Rank Reduction and Krylov Subspace Method for Tensor Approximation. Part 1: Tucker Case.
SIAM J. Sci. Comput., 2012

Fast Solution of Parabolic Problems in the Tensor Train/Quantized Tensor Train Format with Initial Application to the Fokker-Planck Equation.
SIAM J. Sci. Comput., 2012

2011
Improved n-Term Karatsuba-Like Formulas in GF(2).
IEEE Trans. Computers, 2011

Algebraic Wavelet Transform via Quantics Tensor Train Decomposition.
SIAM J. Sci. Comput., 2011

Tensor-Train Decomposition.
SIAM J. Sci. Comput., 2011

Tensor-Train Ranks for Matrices and Their Inverses.
Comput. Methods Appl. Math., 2011

DMRG Approach to Fast Linear Algebra in the TT-Format.
Comput. Methods Appl. Math., 2011

Fast adaptive interpolation of multi-dimensional arrays in tensor train format.
Proceedings of the 7th International Workshop on Multidimensional (nD) Systems, 2011

Tensor train decomposition for low-parametric representation of high-dimensional arrays and functions: Review of recent results.
Proceedings of the 7th International Workshop on Multidimensional (nD) Systems, 2011

2010
Approximation of 2<sup>d˟2<sup>d</sup></sup> Matrices Using Tensor Decomposition.
SIAM J. Matrix Anal. Appl., 2010

Cross approximation in tensor electron density computations.
Numer. Linear Algebra Appl., 2010

Quantics-TT Collocation Approximation of Parameter-Dependent and Stochastic Elliptic PDEs.
Comput. Methods Appl. Math., 2010

2009
Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions.
SIAM J. Sci. Comput., 2009

Fast Simultaneous Orthogonal Reduction to Triangular Matrices.
SIAM J. Matrix Anal. Appl., 2009

Linear algebra for tensor problems.
Computing, 2009

2008
Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time.
SIAM J. Matrix Anal. Appl., 2008


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