A two-stage surrogate model for Neo-Hookean problems based on adaptive proper orthogonal decomposition and hierarchical tensor approximation

• Hyper-reduced order modeling for nonlinear electromechanics using multi-field POD and ECM for dielectric elastomer actuators

  2026 Computers & Structures article Engineering Dielectric materials and actuators Open access

  0

  citations
• Hyper-reduced order modeling for nonlinear electromechanics using multi-field POD and ECM for dielectric elastomer actuators

  2026 SSRN Electronic Journal preprint Engineering Dielectric materials and actuators Open access

  0

  citations
• Data-Driven Reduced-Order Modeling of the Flexible Cable Using the POD-Galerkin Projection and the SINDy Algorithm

  2025 Lecture notes in mechanical engineering conference-paper Physics and Astronomy Model Reduction and Neural Networks

  0

  citations
• Tensor decomposition-based DEIM for model order reduction applied to nonlinear parametric electromagnetic problems

  2025 Journal of Computational Physics article Physics and Astronomy Model Reduction and Neural Networks Open access

  2

  citations
• Novel adaptive reduced order spectral non-deterministic FEM approach to problems with general interval-fuzzy-stochastic uncertainties

  2025 Computational Mechanics article Decision Sciences Probabilistic and Robust Engineering Design Open access

  1

  citations
• Tensor Decomposition‐Based Model Order Reduction Applied to Multi‐Parameter Electromagnetic Problems in the Context of Digital Twins

  2025 High Voltage article Physics and Astronomy Model Reduction and Neural Networks Open access

  7

  citations
• A Non‐Intrusive, Online Reduced Order Method for Non‐Linear Micro‐Heterogeneous Materials

  2025 International Journal for Numerical Methods in Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access

  0

  citations
• A multi-field decomposed model order reduction approach for thermo-mechanically coupled gradient-extended damage simulations

  2024 Computer Methods in Applied Mechanics and Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access

  22

  citations
• Efficient Uncertainty Quantification for Mechanical Properties of Randomly Perturbed Elastic Rods

  2024 Multiscale Modeling and Simulation article Decision Sciences Probabilistic and Robust Engineering Design

  1

  citations
• A fast and high-fidelity multi-parameter thermal-field prediction system based on CFD and POD coupling: Application to the RPV insulation structure

  2024 International Journal of Heat and Mass Transfer article Physics and Astronomy Model Reduction and Neural Networks

  13

  citations
• Tensorial Parametric Model Order Reduction of Nonlinear Dynamical Systems

  2024 SIAM Journal on Scientific Computing article Physics and Astronomy Model Reduction and Neural Networks

  12

  citations
• Data-Driven Modal Decomposition Methods as Feature Detection Techniques for Flow Fields in Hydraulic Machinery: A Mini Review

  2024 Journal of Marine Science and Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access

  6

  citations
• Research, Application and Future Prospect of Mode Decomposition in Fluid Mechanics

  2024 Symmetry article Physics and Astronomy Model Reduction and Neural Networks Open access

  10

  citations
• Reduced order modeling of structural problems with damage and plasticity

  2023 PAMM article Physics and Astronomy Model Reduction and Neural Networks Open access

  6

  citations
• An adaptive model order reduction technique for parameter-dependent modular structures

  2023 Computational Mechanics article Physics and Astronomy Model Reduction and Neural Networks Open access

  13

  citations
• Construction of a reduced-order model based on tensor decomposition and its application to airbag deployment simulations

  2023 Scientific Reports article Mathematics Tensor decomposition and applications Open access

  6

  citations
• Reduced order modeling of modular parameter dependent structures based on proper orthogonal decomposition and mesh tying

  2023 PAMM article Physics and Astronomy Model Reduction and Neural Networks Open access

  1

  citations
• Interpolatory tensorial reduced order models for parametric dynamical systems

  2022 Computer Methods in Applied Mechanics and Engineering article Physics and Astronomy Model Reduction and Neural Networks Open access

  19

  citations

18 results

• Scikit-learn: Machine Learning in Python

  2012 ORBi (University of Liège) article Computer Science Computational Physics and Python Applications Open access

  63,589

  citations
• Book Review: Pattern Recognition and Machine Learning

  2007 Journal of Electronic Imaging book-review Mathematics Statistical Methods and Inference

  21,882

  citations
• Dynamic Programming

  1966 Science article Economics, Econometrics and Finance Economic theories and models

  14,758

  citations
• Tensor Decompositions and Applications

  2009 SIAM Review article Mathematics Tensor decomposition and applications

  10,683

  citations
• Pattern Recognition and Machine Learning

  2007 Kybernetes article Computer Science Neural Networks and Applications

  8,400

  citations
• The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations

  2002 SIAM Journal on Scientific Computing article Decision Sciences Probabilistic and Robust Engineering Design

  4,888

  citations
• Analysis of Individual Differences in Multidimensional Scaling Via an N-way Generalization of “Eckart-Young” Decomposition

  1970 Psychometrika article Mathematics Statistical Methods and Applications

  4,783

  citations
• The Proper Orthogonal Decomposition in the Analysis of Turbulent Flows

  1993 Annual Review of Fluid Mechanics article Engineering Fluid Dynamics and Turbulent Flows

  4,478

  citations
• A Multilinear Singular Value Decomposition

  2000 SIAM Journal on Matrix Analysis and Applications article Mathematics Tensor decomposition and applications Open access

  4,219

  citations
• The Approximation of One Matrix by Another of Lower Rank

  1936 Psychometrika article Decision Sciences Psychometric Methodologies and Testing

  3,920

  citations
• Bayesian Inference in Statistical Analysis.

  1975 Journal of the American Statistical Association article Mathematics Statistical Methods and Bayesian Inference

  3,869

  citations
• Turbulence, Coherent Structures, Dynamical Systems and Symmetry

  1996 Cambridge University Press eBooks book Engineering Fluid Dynamics and Turbulent Flows

  3,142

  citations
• Tensor-Train Decomposition

  2011 SIAM Journal on Scientific Computing article Mathematics Tensor decomposition and applications

  2,723

  citations
• Foundations of the PARAFAC procedure: Models and conditions for an "explanatory" multi-model factor analysis

  1970 article Mathematics Tensor decomposition and applications

  2,292

  citations
• A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data

  2007 SIAM Journal on Numerical Analysis article Decision Sciences Probabilistic and Robust Engineering Design Open access

  1,456

  citations
• The Expression of a Tensor or a Polyadic as a Sum of Products

  1927 Studies in Applied Mathematics article Computer Science Computational Physics and Python Applications

  1,408

  citations
• Barycentric Lagrange Interpolation

  2004 SIAM Review article Mathematics Mathematical functions and polynomials

  1,271

  citations
• An introduction to the proper orthogonal decomposition

  2000 article Computer Science Matrix Theory and Algorithms

  1,038

  citations
• Balanced Model Reduction via the Proper Orthogonal Decomposition

  2002 AIAA Journal article Physics and Astronomy Model Reduction and Neural Networks

  997

  citations
• A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data

  2008 SIAM Journal on Numerical Analysis article Decision Sciences Probabilistic and Robust Engineering Design Open access

  966

  citations