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  1. Reduced-order modeling for engineering systems: survey and opportunities for digital twins

    Article • Structural and Multidisciplinary Optimization, May 2026, Springer Science + Business Media

    Dr. Boris Kramer

  2. Parametric Operator Inference to Simulate the Purging Process in Semiconductor Manufacturing

    Article • IEEE Transactions on Semiconductor Manufacturing, January 2026, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Boris Kramer

  3. Physically consistent predictive reduced-order modeling by enhancing operator inference with state constraints

    Article • Journal of Computational Physics, December 2025, Elsevier

    Dr. Boris Kramer

  4. Scalable computation of input-normal/output-diagonal balanced realization for control-affine polynomial systems

    Article • Systems & Control Letters, October 2025, Elsevier

    Dr. Boris Kramer

  5. Risk-based design optimization for powder bed fusion metal additive manufacturing

    Article • Structural and Multidisciplinary Optimization, September 2025, Springer Science + Business Media

    Dr. Boris Kramer

  6. Increasing certainty in systems biology models using Bayesian multimodel inference

    Article • Nature Communications, August 2025, Springer Science + Business Media

    Dr. Boris Kramer

  7. Conservative projection-based data-driven model order reduction of a fluid-kinetic spectral solver

    Article • Physics of Plasmas, August 2025, American Institute of Physics

    Dr. Boris Kramer

  8. Systems modeling and uncertainty quantification of AMP-activated protein kinase signaling

    Article • June 2025, Cold Spring Harbor Laboratory Press

    Dr. Boris Kramer

  9. Scalable Computation of $\mathcal {H}_\infty$ Energy Functions for Polynomial Control-Affine Systems

    Article • IEEE Transactions on Automatic Control, May 2025, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Boris Kramer

  10. Robust design optimization with limited data for char combustion

    Article • Structural and Multidisciplinary Optimization, March 2025, Springer Science + Business Media

    Dr. Boris Kramer

  11. An Approximate Control Variates Approach to Multifidelity Distribution Estimation

    Article • SIAM/ASA Journal on Uncertainty Quantification, November 2024, Society for Industrial & Applied Mathematics (SIAM)

    Dr. Boris Kramer

  12. Bayesian identification of nonseparable Hamiltonians with multiplicative noise using deep learning and reduced-order modeling

    Article • Computer Methods in Applied Mechanics and Engineering, October 2024, Elsevier

    Dr. Boris Kramer

  13. Gradient preserving Operator Inference: Data-driven reduced-order models for equations with gradient structure

    Article • Computer Methods in Applied Mechanics and Engineering, July 2024, Elsevier

    Dr. Boris Kramer

  14. Scalable computation of energy functions for nonlinear balanced truncation

    Article • Computer Methods in Applied Mechanics and Engineering, July 2024, Elsevier

    Dr. Boris Kramer

  15. Increasing certainty in systems biology models using Bayesian multimodel inference

    Article • June 2024, Cold Spring Harbor Laboratory Press

    Dr. Boris Kramer

  16. Lagrangian operator inference enhanced with structure-preserving machine learning for nonintrusive model reduction of mechanical systems

    Article • Computer Methods in Applied Mechanics and Engineering, April 2024, Elsevier

    Dr. Boris Kramer

  17. Exact and Optimal Quadratization of Nonlinear Finite-Dimensional Nonautonomous Dynamical Systems

    Article • SIAM Journal on Applied Dynamical Systems, March 2024, Society for Industrial & Applied Mathematics (SIAM)

    Dr. Boris Kramer

  18. Symplectic model reduction of Hamiltonian systems using data-driven quadratic manifolds

    Article • Computer Methods in Applied Mechanics and Engineering, December 2023, Elsevier

    Dr. Boris Kramer

  19. Bayesian Inference and Global Sensitivity Analysis for Ambient Solar Wind Prediction

    Article • Space Weather, September 2023, American Geophysical Union (AGU)

    Dr. Boris Kramer

  20. Multifidelity conditional value-at-risk estimation by dimensionally decomposed generalized polynomial chaos-Kriging

    Article • Reliability Engineering & System Safety, July 2023, Elsevier

    Dr. Boris Kramer

  21. Bayesian parameter estimation for the inclusion of uncertainty in progressive damage simulation of composites

    Article • Composite Structures, June 2023, Elsevier

    Reza Vaziri, Dr. Boris Kramer

  22. Bayesian Inference and Global Sensitivity Analysis for Ambient Solar Wind Prediction

    Article • May 2023, Wiley

    Dr. Boris Kramer

  23. Bi-fidelity conditional value-at-risk estimation by dimensionally decomposed generalized polynomial chaos expansion

    Article • Structural and Multidisciplinary Optimization, February 2023, Springer Science + Business Media

    Dr. Boris Kramer

  24. Physics-informed regularization and structure preservation for learning stable reduced models from data with operator inference

    Article • Computer Methods in Applied Mechanics and Engineering, February 2023, Elsevier

    Dr. Boris Kramer

  25. Interpolatory Methods for Model Reduction [Bookshelf]

    Article • IEEE Control Systems, December 2022, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Boris Kramer

  26. Bayesian parameter estimation for dynamical models in systems biology

    Article • PLoS Computational Biology, October 2022, PLOS

    Dr. Boris Kramer

  27. Learning state variables for physical systems

    Article • Nature Computational Science, July 2022, Springer Science + Business Media

    Dr. Boris Kramer

  28. Bayesian Parameter Estimation for Dynamical Models in Systems Biology

    Article • April 2022, Cold Spring Harbor Laboratory Press

    Dr. Boris Kramer

  29. Hamiltonian operator inference: Physics-preserving learning of reduced-order models for canonical Hamiltonian systems

    Article • Physica D Nonlinear Phenomena, March 2022, Elsevier

    Dr. Boris Kramer

  30. Certifiable Risk-Based Engineering Design Optimization

    Article • AIAA Journal, February 2022, American Institute of Aeronautics and Astronautics (AIAA)

    Dr. Boris Kramer

  31. Balanced Reduced-Order Models for Iterative Nonlinear Control of Large-Scale Systems

    Article • IEEE Control Systems Letters, November 2021, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Boris Kramer

  32. Stability Domains for Quadratic-Bilinear Reduced-Order Models

    Article • SIAM Journal on Applied Dynamical Systems, January 2021, Society for Industrial & Applied Mathematics (SIAM)

    Dr. Boris Kramer

  33. Operator inference for non-intrusive model reduction of systems with non-polynomial nonlinear terms

    Article • Computer Methods in Applied Mechanics and Engineering, December 2020, Elsevier

    Dr. Boris Kramer

  34. Learning Physics-Based Reduced-Order Models for a Single-Injector Combustion Process

    Article • AIAA Journal, June 2020, American Institute of Aeronautics and Astronautics (AIAA)

    Dr. Boris Kramer

  35. Multifidelity probability estimation via fusion of estimators

    Article • Journal of Computational Physics, September 2019, Elsevier

    Dr. Boris Kramer

  36. Transform & Learn: A data-driven approach to nonlinear model reduction

    Article • June 2019, American Institute of Aeronautics and Astronautics (AIAA)

    Prof Karen E Willcox, Elizabeth Qian, Dr. Boris Kramer

  37. Nonlinear Model Order Reduction via Lifting Transformations and Proper Orthogonal Decomposition

    Article • AIAA Journal, June 2019, American Institute of Aeronautics and Astronautics (AIAA)

    Dr. Boris Kramer

  38. System Identification via CUR-Factored Hankel Approximation

    Article • SIAM Journal on Scientific Computing, January 2018, Society for Industrial & Applied Mathematics (SIAM)

    Alex Gorodetsky, Dr. Boris Kramer

  39. Multifidelity Preconditioning of the Cross-Entropy Method for Rare Event Simulation and Failure Probability Estimation

    Article • SIAM/ASA Journal on Uncertainty Quantification, January 2018, Society for Industrial & Applied Mathematics (SIAM)

    Dr. Boris Kramer

  40. Conditional-Value-at-Risk Estimation via Reduced-Order Models

    Article • SIAM/ASA Journal on Uncertainty Quantification, January 2018, Society for Industrial & Applied Mathematics (SIAM)

    Dr. Boris Kramer

  41. Learning-based robust stabilization for reduced-order models of 2D and 3D Boussinesq equations

    Article • Applied Mathematical Modelling, September 2017, Elsevier

    Dr. Boris Kramer

  42. Combining multiple surrogate models to accelerate failure probability estimation with expensive high-fidelity models

    Article • Journal of Computational Physics, July 2017, Elsevier

    Dr. Boris Kramer

  43. Robust POD model stabilization for the 3D Boussinesq equations based on Lyapunov theory and extremum seeking

    Article • May 2017, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Boris Kramer

  44. Sparse Sensing and DMD-Based Identification of Flow Regimes and Bifurcations in Complex Flows

    Article • SIAM Journal on Applied Dynamical Systems, January 2017, Society for Industrial & Applied Mathematics (SIAM)

    Dr. Boris Kramer

  45. Feedback Control for Systems with Uncertain Parameters Using Online-Adaptive Reduced Models

    Article • SIAM Journal on Applied Dynamical Systems, January 2017, Society for Industrial & Applied Mathematics (SIAM)

    Dr. Boris Kramer

  46. A POD projection method for large-scale algebraic Riccati equations

    Article • Numerical Algebra Control & Optimization, December 2016, American Institute of Mathematical Sciences (AIMS)

    Dr. Boris Kramer

  47. Learning-based reduced order model stabilization for partial differential equations: Application to the coupled Burgers' equation

    Article • July 2016, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Boris Kramer

  48. Model reduction for control of a multiphysics system: Coupled Burgers' equation

    Article • July 2016, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Boris Kramer

  49. Tangential interpolation-based eigensystem realization algorithm for MIMO systems

    Article • Mathematical and Computer Modelling of Dynamical Systems, June 2016, Taylor & Francis

    Dr. Boris Kramer

  50. Full flux models for optimization and control of heat exchangers

    Article • July 2015, Institute of Electrical & Electronics Engineers (IEEE)

    Dr. Boris Kramer

  51. Solving Algebraic Riccati Equations via Proper Orthogonal Decomposition

    Article • IFAC Proceedings Volumes, January 2014, Elsevier

    Dr. Boris Kramer