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20242026
most citedGradient Preserving Operator Inference: Data-Driven Reduced-Order Models for Equations with Gradient Structure

11 citations · 14 across the 5 of their papers we have counts for

collaborators

6 papers

physics.comp-ph2026

Stochastic Operator Inference for reduced-order modeling of capillary wave turbulence using experimental measurements

Hyeonghun Kim, Lei Zhang, James Friend +1

Modeling complex physical phenomena directly from experimental data poses fundamental challenges: measurement devices introduce noise and biases into the data, the governing equati…

cs.SC2026

Quadratization of Autonomous Partial Differential Equations: Algorithmic Solutions

Albani Olivieri, Gleb Pogudin, Boris Kramer

Quadratization for partial differential equations (PDEs) is a process that formally transforms a PDE with a nonquadratic right-hand side into a quadratic form by introducing auxili…

math.NA2025

Parametric Operator Inference to Simulate the Purging Process in Semiconductor Manufacturing

Seunghyon Kang, Hyeonghun Kim, Boris Kramer

This work presents the application of parametric Operator Inference (OpInf) -- a nonintrusive reduced-order modeling (ROM) technique that learns a low-dimensional representation of…

physics.comp-ph2025★ 3 cited

Physically consistent predictive reduced-order modeling by enhancing Operator Inference with state constraints

Hyeonghun Kim, Boris Kramer

Numerical simulations of complex multiphysics systems, such as char combustion considered herein, yield numerous state variables that inherently exhibit physical constraints. This…

math.NA2025

Data-Driven Reduced-Order Models for Port-Hamiltonian Systems with Operator Inference

Yuwei Geng, Lili Ju, Boris Kramer +1

Hamiltonian operator inference has been developed in [Sharma, H., Wang, Z., Kramer, B., Physica D: Nonlinear Phenomena, 431, p.133122, 2022] to learn structure-preserving reduced-o…

math.NA2024★ 11 cited

Gradient Preserving Operator Inference: Data-Driven Reduced-Order Models for Equations with Gradient Structure

Yuwei Geng, Jasdeep Singh, Lili Ju +2

Hamiltonian Operator Inference has been introduced in [Sharma, H., Wang, Z., Kramer, B., Physica D: Nonlinear Phenomena, 431, p.133122, 2022] to learn structure-preserving reduced-…