270 citations · 947 across the 25 of their papers we have counts for
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math.NA2019★ 270 cited
Lift & Learn: Physics-informed machine learning for large-scale nonlinear dynamical systems
Elizabeth Qian, Boris Kramer, Benjamin Peherstorfer +1
We present Lift & Learn, a physics-informed method for learning low-dimensional models for large-scale dynamical systems. The method exploits knowledge of a system's governing equa…
math.NA2019★ 6 cited
Balanced Truncation Model Reduction for Lifted Nonlinear Systems
Boris Kramer, Karen E. Willcox
We present a balanced truncation model reduction approach for a class of nonlinear systems with time-varying and uncertain inputs. First, our approach brings the nonlinear system i…