19 citations · 46 across the 6 of their papers we have counts for
6 papers
Learning dynamics on invariant measures using PDE-constrained optimization
Jonah Botvinick-Greenhouse, Robert Martin, Yunan Yang
We extend the methodology in [Yang et al., 2023] to learn autonomous continuous-time dynamical systems from invariant measures. The highlight of our approach is to reformulate the…
An Unstructured Mesh Approach to Nonlinear Noise Reduction for Coupled Systems
Aaron Kirtland, Jonah Botvinick-Greenhouse, Marianne DeBrito +5
To address noise inherent in electronic data acquisition systems and real world sources, Araki et al. [Physica D: Nonlinear Phenomena, 417 (2021) 132819] demonstrated a grid based…
Optimal Transport for Parameter Identification of Chaotic Dynamics via Invariant Measures
Yunan Yang, Levon Nurbekyan, Elisa Negrini +2
We study an optimal transportation approach for recovering parameters in dynamical systems with a single smoothly varying attractor. We assume that the data is not sufficient for e…
Impact of Embedding View on Cross Mapping Convergence
Robert Martin, Justin Koo, Daniel Eckhardt
Convergent cross mapping (CCM) provides a powerful technique for exploring causal relationships in nonlinear coupled systems. The method relies on Takens' theorem exploiting that t…
Some remarks on the monotonicity of primary matrix functions on the set of symmetric matrices
Robert Martin, Patrizio Neff
This note contains some observations on primary matrix functions and different notions of monotonicity with relevance towards constitutive relations in nonlinear elasticity. Focuss…
The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky
Patrizio Neff, Bernhard Eidel, Robert Martin
The introduction of the quadratic Hencky strain energy based on the logarithmic strain tensor log V is a milestone in the development of nonlinear elasticity theory in the first ha…