Model reduction of quadratic-bilinear descriptor systems via Carleman bilinearization. - Pawan Goyal 003; Mian Ilyas Ahmad; Peter Benner (ECC, 2015)

Multipoint interpolation of Volterra series and H2-model reduction for a family of bilinear descriptor systems. - Peter Benner; Pawan Goyal 003 (Syst. Control. Lett., 2016)

POD-DEIM for efficient reduction of a dynamic 2D catalytic reactor model. - Jens Bremer; Pawan Goyal 003; Lihong Feng; Peter Benner; Kai Sundmacher (Comput. Chem. Eng., 2017)

Krylov subspace-based model reduction for a class of bilinear descriptor systems. - Mian Ilyas Ahmad; Peter Benner; Pawan Goyal 003 (J. Comput. Appl. Math., 2017)

H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems. - Peter Benner; Pawan Goyal 003; Serkan Gugercin (SIAM J. Matrix Anal. Appl., 2018)

Time-limited H2-optimal model order reduction. - Pawan Goyal 003; Martin Redmann (Appl. Math. Comput., 2019)

Data-Driven Identification of Rayleigh-Damped Second-Order Systems. - Igor Pontes Duff; Pawan Goyal 003; Peter Benner (CoRR, 2019)

Identification of Dominant Subspaces for Linear Structured Parametric Systems and Model Reduction. - Peter Benner; Pawan Goyal 003; Igor Pontes Duff (CoRR, 2019)

Balanced Truncation for a Special Class of Bilinear Descriptor Systems. - Igor Pontes Duff; Pawan Goyal 003; Peter Benner (IEEE Control. Syst. Lett., 2019)

Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms. - Peter Benner; Pawan Goyal 003; Boris Kramer; Benjamin Peherstorfer; Karen Willcox (CoRR, 2020)

Low-Rank and Total Variation Regularization and Its Application to Image Recovery. - Pawan Goyal 003; Hussam Al Daas; Peter Benner (CoRR, 2020)

A Non-Intrusive Method to Inferring Linear Port-Hamiltonian Realizations using Time-Domain Data. - Karim Cherifi; Pawan Goyal 003; Peter Benner (CoRR, 2020)

Data-Driven Learning of Reduced-order Dynamics for a Parametrized Shallow Water Equation. - Süleyman Yildiz; Pawan Goyal 003; Peter Benner; Bülent Karasözen (CoRR, 2020)

Operator Inference and Physics-Informed Learning of Low-Dimensional Models for Incompressible Flows. - Peter Benner; Pawan Goyal 003; Jan Heiland; Igor Pontes Duff (CoRR, 2020)

Identification of port-Hamiltonian systems from frequency response data. - Peter Benner; Pawan Goyal 003; Paul Van Dooren (Syst. Control. Lett., 2020)

LQResNet: A Deep Neural Network Architecture for Learning Dynamic Processes. - Pawan Goyal 003; Peter Benner (CoRR, 2021)

Discovery of Nonlinear Dynamical Systems using a Runge-Kutta Inspired Dictionary-based Sparse Regression Approach. - Pawan Goyal 003; Peter Benner (CoRR, 2021)

A Greedy Data Collection Scheme For Linear Dynamical Systems. - Karim Cherifi; Pawan Goyal 003; Peter Benner (CoRR, 2021)

Learning Dynamics from Noisy Measurements using Deep Learning with a Runge-Kutta Constraint. - Pawan Goyal 003; Peter Benner (CoRR, 2021)

Learning Low-Dimensional Quadratic-Embeddings of High-Fidelity Nonlinear Dynamics using Deep Learning. - Pawan Goyal 003; Peter Benner (CoRR, 2021)

Low-Dimensional Approximations of High-Dimensional Asset Price Models. - Martin Redmann; Christian Bayer 001; Pawan Goyal 003 (SIAM J. Financial Math., 2021)

Interpolation-Based Model Order Reduction for Polynomial Systems. - Peter Benner; Pawan Goyal 003 (SIAM J. Sci. Comput., 2021)

Neural ODEs with Irregular and Noisy Data. - Pawan Goyal 003; Peter Benner (CoRR, 2022)

Generalized Quadratic-Embeddings for Nonlinear Dynamics using Deep Learning. - Pawan Goyal 003; Peter Benner (CoRR, 2022)

Gramians, Energy Functionals, and Balanced Truncation for Linear Dynamical Systems With Quadratic Outputs. - Peter Benner; Pawan Goyal 003; Igor Pontes Duff (IEEE Trans. Autom. Control., 2022)

Operator Inference for Quadratic Manifold Encodings. - Jan Heiland; Pawan Goyal 003; Igor Pontes Duff; Peter Benner (Zenodo, 2022)

Dominant Subspaces of High-Fidelity Nonlinear Structured Parametric Dynamical Systems and Model Reduction. - Pawan Goyal 003; Igor Pontes Duff; Peter Benner (CoRR, 2023)

Inference of Continuous Linear Systems from Data with Guaranteed Stability. - Pawan Goyal 003; Igor Pontes Duff; Peter Benner (CoRR, 2023)

Data-Driven Identification of Quadratic Symplectic Representations of Nonlinear Hamiltonian Systems. - Süleyman Yildiz; Pawan Goyal 003; Thomas Bendokat; Peter Benner (CoRR, 2023)

Linearly Implicit Global Energy Preserving Reduced-order Models for Cubic Hamiltonian Systems. - Süleyman Yildiz; Pawan Goyal 003; Peter Benner (CoRR, 2023)

Guaranteed Stable Quadratic Models and their applications in SINDy and Operator Inference. - Pawan Goyal 003; Igor Pontes Duff; Peter Benner (CoRR, 2023)

A Robust SINDy Approach by Combining Neural Networks and an Integral Form. - Ali Forootani; Pawan Goyal 003; Peter Benner (CoRR, 2023)

Learning reduced-order Quadratic-Linear models in Process Engineering using Operator Inference. - Ion Victor Gosea; Luisa Peterson; Pawan Goyal 003; Jens Bremer; Kai Sundmacher; Peter Benner (CoRR, 2024)

Stability-Certified Learning of Control Systems with Quadratic Nonlinearities. - Igor Pontes Duff; Pawan Goyal 003; Peter Benner (CoRR, 2024)

Divergence-free neural operators for stress field modeling in polycrystalline materials. - Mohammad Khorrami; Pawan Goyal 003; Jaber Rezaei Mianroodi; Bob Svendsen; Peter Benner; Dierk Raabe (CoRR, 2024)

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction. - Celine Reddig; Pawan Goyal 003; Igor Pontes Duff; Peter Benner (CoRR, 2024)

Parameterized Interpolation of Passive Systems. - Peter Benner; Pawan Goyal 003; Paul Van Dooren (SIAM J. Matrix Anal. Appl., 2024)

Rank-Minimizing and Structured Model Inference. - Pawan Goyal 003; Benjamin Peherstorfer; Peter Benner (SIAM J. Sci. Comput., 2024)

Active Sampling of Interpolation Points to Identify Dominant Subspaces for Model Reduction. - Celine Reddig; Pawan Goyal 003; Igor Pontes Duff; Peter Benner (Zenodo, 2024)

Dominant subspaces of high-fidelity polynomial structured parametric dynamical systems and model reduction. - Pawan Goyal 003; Igor Pontes Duff; Peter Benner (Adv. Comput. Math., 2024)

Balanced truncation for quadratic-bilinear control systems. - Peter Benner; Pawan Goyal 003 (Adv. Comput. Math., 2024)

An Active Sampling Strategy for Quadrature-based Balanced Truncation for Structured Linear Systems. - Celine Reddig; Igor Pontes Duff; Pawan Goyal 003; Peter Benner (Zenodo, 2024)

Deep Learning for Structure-Preserving Universal Stable Koopman-Inspired Embeddings for Nonlinear Canonical Hamiltonian Dynamics. - Pawan Goyal 003; Süleyman Yildiz; Peter Benner (Zenodo, 2024)

Structure-preserving learning for multi-symplectic PDEs. - Süleyman Yildiz; Pawan Goyal 003; Peter Benner (Zenodo, 2024)

A robust sparse identification of nonlinear dynamics approach by combining neural networks and an integral form. - Ali Forootani; Pawan Goyal 003; Peter Benner (Eng. Appl. Artif. Intell., 2025)

Deep learning for structure-preserving universal stable Koopman-inspired embeddings for nonlinear canonical Hamiltonian dynamics. - Pawan Goyal 003; Süleyman Yildiz; Peter Benner (Mach. Learn. Sci. Technol., 2025)

On the representation of energy-preserving quadratic operators with application to Operator Inference. - Leonidas Gkimisis; Igor Pontes Duff; Pawan Goyal 003; Peter Benner (CoRR, 2025)

Approximate balanced truncation for linear structured systems based on greedy numerical integration. - Celine Reddig; Igor Pontes Duff; Pawan Goyal 003; Peter Benner (Autom., 2025)

Structure-preserving learning for multi-symplectic PDEs. - Süleyman Yildiz; Pawan Goyal 003; Peter Benner (Adv. Model. Simul. Eng. Sci., 2025)