vix.ing · top · new · best · stats · spec

Peter Benner

  1. A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems
    2015/01/01 by Peter Benner, Serkan Gugercin, Karen Willcox · 189 citations
    Physics and Astronomy · Decision Sciences · Engineering · #Model Reduction and Neural Networks #Probabilistic and Robust Engineering Design #Real-time simulation and control systems
  2. Gramians, Energy Functionals and Balanced Truncation for Linear\n Dynamical Systems with Quadratic Outputs
    2019/09/10 by Peter Benner, Pawan Goyal, Benner, Peter +3 · 5 citations
    Engineering · Mathematics · Physics and Astronomy · #34C20 #93A15 #93C10 #93C15 #Control Systems and Identification #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations #Optimization and Control (math.OC)
  3. An artificial neural network for surrogate modeling of stress fields in viscoplastic polycrystalline materials
    2022/08/29 by Mohammad S. Khorrami, Jaber Rezaei Mianroodi, Khorrami, Mohammad S. +11 · 4 citations
    Engineering · #Advanced machining processes and optimization #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Metallurgy and Material Forming #Microstructure and Mechanical Properties of Steels
  4. A Robust SINDy Approach by Combining Neural Networks and an Integral Form
    2023/09/13 by Ali Forootani, Pawan Goyal, Forootani, Ali +3 · 3 citations
    Engineering · Physics and Astronomy · #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Fault Detection and Control Systems #Machine Learning (cs.LG) #Model Reduction and Neural Networks
  5. Interpolatory Projection Methods for Parameterized Model Reduction
    2011/01/01 by Ulrike Baur, Christopher Beattie, Peter Benner +1 · 1 citation
  6. Generalized Quadratic Embeddings for Nonlinear Dynamics using Deep Learning
    2022/11/01 by Pawan Goyal, Goyal, Pawan, Peter Benner +1 · 2 citations
    Engineering · Physics and Astronomy · #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Structural Health Monitoring Techniques
  7. Recycling BiCGSTAB with an Application to Parametric Model Order Reduction
    2014/06/11 by Kapil Ahuja, Ahuja, Kapil, Peter Benner +4 · 1 citation
    Computer Science · Physics and Astronomy · #65F10 #65N22 #93A15 #93C05 #FOS: Mathematics #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical Methods and Algorithms
  8. Dual pairs of generalized Lyapunov inequalities and balanced truncation\n of stochastic linear systems
    2015/04/08 by Peter Benner, Tobias Damm, Benner, Peter +3 · 1 citation
    Engineering · Computer Science · #Stability and Control of Uncertain Systems #Matrix Theory and Algorithms #Control Systems and Identification
  9. Active-Learning-Driven Surrogate Modeling for Efficient Simulation of Parametric Nonlinear Systems
    2023/06/09 by Harshit Kapadia, Kapadia, Harshit, Lihong Feng +3 · 2 citations
    Engineering · Physics and Astronomy · #Computational Engineering #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Finance #Fluid Dynamics (physics.flu-dyn) #Fluid Dynamics and Vibration Analysis #Machine Learning (cs.LG) #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Real-time simulation and control systems #and Science (cs.CE)
  10. Large-Scale Computation of mathcal L_\∞-Norms by a Greedy\n Subspace Method
    2017/05/29 by Nicat Aliyev, Peter Benner, Aliyev, Nicat +7 · 1 citation
    Computer Science · Mathematics · #Matrix Theory and Algorithms #Approximation Theory and Sequence Spaces #Advanced Optimization Algorithms Research
  11. Example Setups of Navier-Stokes Equations with Control and Observation:\n Spatial Discretization and Representation via Linear-quadratic Matrix\n Coefficients
    2017/07/27 by Maximilian Behr, Peter Benner, Behr, Maximilian +3 · 1 citation
    Engineering · #68U20 #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Mathematical Software (cs.MS)
  12. On an integrated Krylov-ADI solver for large-scale Lyapunov equations
    2022/03/31 by Peter Benner, Benner, Peter, Davide Palitta +3 · 2 citations
    Computer Science · Engineering · Physics and Astronomy · #Electromagnetic Scattering and Analysis #FOS: Mathematics #Matrix Theory and Algorithms #Numerical Analysis (math.NA) #Sparse and Compressive Sensing Techniques
  13. Model reduction for second-order systems with inhomogeneous initial conditions
    2022/06/14 by Jennifer Przybilla, Przybilla, Jennifer, Igor Pontes Duff +3 · 2 citations
    Engineering · Physics and Astronomy · #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Mathematics #Model Reduction and Neural Networks #Real-time simulation and control systems
  14. Non-intrusive reduced-order modeling for dynamical systems with spatially localized features
    2025/01/08 by Leonidas Gkimisis, Gkimisis, Leonidas, Nicole Aretz +9 · 4 citations
    Computer Science · Engineering · Physics and Astronomy · #Advanced Measurement and Metrology Techniques #Computer Graphics and Visualization Techniques #Dynamical Systems (math.DS) #FOS: Mathematics #Model Reduction and Neural Networks
  15. Efficient Structure-preserving Support Tensor Train Machine
    2020/02/12 by Kirandeep Kour, Kour, Kirandeep, Sergey Dolgov +5 · 1 citation
    Mathematics · #FOS: Computer and information sciences #FOS: Mathematics #Machine Learning (cs.LG) #Machine Learning (stat.ML) #Numerical Analysis (math.NA) #Tensor decomposition and applications
  16. Matrix Equations, Sparse Solvers: M-M.E.S.S.-2.0.1 -- Philosophy, Features and Application for (Parametric) Model
    2020/03/04 by Peter Benner, Benner, Peter, Martin Köhler +3 · 1 citation
    Computer Science · Mathematics · Physics and Astronomy · #FOS: Computer and information sciences #FOS: Mathematics #Mathematical Software (cs.MS) #Matrix Theory and Algorithms #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations
  17. Machine Learning for Material Characterization with an Application for\n Predicting Mechanical Properties
    2020/10/12 by Anke Stoll, Stoll, Anke, Peter Benner +1 · 1 citation
    Engineering · #FOS: Computer and information sciences #High Temperature Alloys and Creep #Machine Learning (cs.LG) #Metallurgy and Material Forming #Microstructure and Mechanical Properties of Steels
  18. Data-Driven Model Order Reduction for Problems with Parameter-Dependent\n Jump-Discontinuities
    2021/05/02 by Neeraj Sarna, Sarna, Neeraj, Peter Benner +1 · 1 citation
    Mathematics · Physics and Astronomy · #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Numerical methods for differential equations
  19. A physics-encoded Fourier neural operator approach for surrogate modeling of divergence-free stress fields in solids
    2024/08/27 by Mohammad S. Khorrami, Pawan Goyal, Khorrami, Mohammad S. +9 · 2 citations
    Engineering · #Advanced machining processes and optimization #Analysis of PDEs (math.AP) #Computational Engineering #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Finance #Machine Learning (cs.LG) #Materials Science (cond-mat.mtrl-sci) #and Science (cs.CE)
  20. Neural ODEs with Irregular and Noisy Data
    2022/05/19 by Pawan Goyal, Goyal, Pawan, Peter Benner +1 · 1 citation
    Engineering · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Hydraulic and Pneumatic Systems #Machine Learning (cs.LG) #Model Reduction and Neural Networks
  21. Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics
    2023/08/26 by Pawan Goyal, Süleyman Yıldız, Goyal, Pawan +3 · 2 citations
    Physics and Astronomy · Computer Science · Engineering · #Model Reduction and Neural Networks #Neural Networks and Reservoir Computing #Thermoelastic and Magnetoelastic Phenomena
  22. Stability-Certified Learning of Control Systems with Quadratic Nonlinearities
    2024/03/01 by Igor Pontes Duff, Duff, Igor Pontes, Pawan Goyal +3 · 1 citation
    Engineering · #Advanced Control Systems Optimization #Control Systems and Identification #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #Iterative Learning Control Systems #Machine Learning (cs.LG) #Optimization and Control (math.OC)
  23. Data-augmented predictive deep neural network: Enhancing the extrapolation capabilities of non-intrusive surrogate models
    2024/10/17 by Shuwen Sun, Lihong Feng, Sun, Shuwen +3 · 2 citations
    Computer Science · #Generative Adversarial Networks and Image Synthesis #Explainable Artificial Intelligence (XAI) #Adversarial Robustness in Machine Learning
  24. Reduced basis method for the nonlinear Poisson-Boltzmann equation regularized by the range-separated canonical tensor format
    2021/02/27 by Cleophas Kweyu, Kweyu, Cleophas, Lihong Feng +5 · 1 citation
    Mathematics · #FOS: Mathematics #Numerical Analysis (math.NA) #Tensor decomposition and applications
  25. Balanced Truncation of Descriptor Systems with a Quadratic Output
    2024/02/22 by Jennifer Przybilla, Przybilla, Jennifer, Igor Pontes Duff +5 · 1 citation
    Computer Science · Mathematics · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Mathematical Control Systems and Analysis
  26. Parallel Algorithms for Tensor Train Arithmetic
    2020/11/12 by Hussam Al Daas, Daas, Hussam Al, Grey Ballard +3 · 1 citation
    Mathematics · Computer Science · #Tensor decomposition and applications #Parallel Computing and Optimization Techniques #Computational Physics and Python Applications
  27. Semi-active damping optimization of vibrational systems using the reduced basis method
    2023/05/22 by Jennifer Przybilla, Przybilla, Jennifer, Igor Pontes Duff +3 · 1 citation
    Decision Sciences · Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Model Reduction and Neural Networks #Numerical methods for differential equations #Probabilistic and Robust Engineering Design
  28. Range-separated tensor formats for numerical modeling of many-particle interaction potentials
    2016/06/29 by Peter Benner, Venera Khoromskaia, Benner, Peter +3 · 3 citations
    Mathematics · Physics and Astronomy · Medicine · #Tensor decomposition and applications #Electromagnetic Scattering and Analysis #Advanced Neuroimaging Techniques and Applications
  29. Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems
    2024/01/18 by Petar Mlinarić, Mlinarić, Petar, Peter Benner +3 · 1 citation
    Engineering · Physics and Astronomy · #Advanced Control Systems Optimization #FOS: Electrical engineering #FOS: Mathematics #Iterative Learning Control Systems #Model Reduction and Neural Networks #Numerical Analysis (math.NA) #Optimization and Control (math.OC) #Systems and Control (eess.SY) #electronic engineering #information engineering
  30. Fast and Reliable Reduced-Order Models for Cardiac Electrophysiology
    2023/11/10 by Sridhar Chellappa, Chellappa, Sridhar, Barış Cansız +6 · 1 citation
    Engineering · Physics and Astronomy · #Control Systems and Identification #FOS: Mathematics #Model Reduction and Neural Networks #Numerical Analysis (math.NA)
  31. Boundary control and periodic trajectories of semilinear Euler equations with application to hydrogen transport
    2026/07/23 by Alexander Zuyev, Peter Benner
    #math.OC