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[HTML][HTML] Data-driven identification of stable sparse differential operators using constrained regression
Identifying differential operators from data is essential for the mathematical modeling of
complex physical and biological systems where massive datasets are available. These …
complex physical and biological systems where massive datasets are available. These …
Roadmap on data-centric materials science
Science is and always has been based on data, but the terms' data-centric'and the'4th
paradigm'of materials research indicate a radical change in how information is retrieved …
paradigm'of materials research indicate a radical change in how information is retrieved …
Stability-certified learning of control systems with quadratic nonlinearities
This work primarily focuses on an operator inference methodology aimed at constructing low-
dimensional dynamical models based on a priori hypotheses about their structure, often …
dimensional dynamical models based on a priori hypotheses about their structure, often …
[HTML][HTML] Generalized quadratic embeddings for nonlinear dynamics using deep learning
The engineering design process often relies on mathematical modeling that can describe
the underlying dynamic behavior. In this work, we present a data-driven methodology for …
the underlying dynamic behavior. In this work, we present a data-driven methodology for …
Energy-preserving reduced operator inference for efficient design and control
Many-query computations, in which a computational model for an engineering system must
be evaluated many times, are crucial in design and control. For systems governed by partial …
be evaluated many times, are crucial in design and control. For systems governed by partial …
Data-driven identification of latent port-Hamiltonian systems
J Rettberg, J Kneifl, J Herb, P Buchfink, J Fehr… - ar** Regions for Lossless Quadratic Systems
Quadratic systems with lossless quadratic terms arise in many applications, including
models of atmosphere and incompressible fluid flows. Such systems have a trap** region …
models of atmosphere and incompressible fluid flows. Such systems have a trap** region …
[PDF][PDF] Towards Digital Twins for Power-to-X: Comparing Surrogate Models for a Catalytic CO2 Methanation Reactor
Addressing climate change requires a transition to renewable energy sources. An integral
part of this transition is the conversion of carbon dioxide through methanation, facilitated by …
part of this transition is the conversion of carbon dioxide through methanation, facilitated by …
Nonintrusive projection-based reduced order modeling using stable learned differential operators
Nonintrusive projection-based reduced order models (ROMs) are essential for dynamics
prediction in multi-query applications where access to the source of the underlying full order …
prediction in multi-query applications where access to the source of the underlying full order …