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Paper · 2106.11712 · 2021

Learning Dynamical Systems from Noisy Sensor Measurements using Multiple Shooting

arXiv · PDF · Open in the Atlas

Code that ran

We lifted 7 functions out of this paper's own repositories and ran 0 of them in a sandbox. "Ran" means the function executed on a synthesized input and returned a value. It is not a reproduction of the paper's results.

RepositoryRoleRan
machines-in-motion/ssm_multiple_shooting canonical 0 of 7
FunctionStatusWhere it lives
UKF_step Not yet run machines-in-motion/ssm_multiple_shooting/ssm_ms/inference_tools/ukf.py
code served (permissive licence) · get_code("985560b22878ed4c")
create_RNN_dataset Not yet run machines-in-motion/ssm_multiple_shooting/ssm_ms/inference_tools/rnn_tools.py
code served (permissive licence) · get_code("ee5a939b05f9bfb9")
load_pendulum_data Not yet run machines-in-motion/ssm_multiple_shooting/ssm_ms/utils.py
code served (permissive licence) · get_code("392e98f8560e8d47")
ms_loading Not yet run machines-in-motion/ssm_multiple_shooting/ssm_ms/utils.py
code served (permissive licence) · get_code("3c0bcd363aeb8f01")
split Not yet run machines-in-motion/ssm_multiple_shooting/ssm_ms/utils.py
code served (permissive licence) · get_code("3da4055ce2e1d189")
split Not yet run machines-in-motion/ssm_multiple_shooting/benchmark/lstm/lorenz.py
code served (permissive licence) · get_code("9bceb8523266b53f")
test_UKF Not yet run machines-in-motion/ssm_multiple_shooting/ssm_ms/inference_tools/ukf.py
code served (permissive licence) · get_code("4344da7b06038266")

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Abstract

Modeling dynamical systems plays a crucial role in capturing and understanding complex physical phenomena. When physical models are not sufficiently accurate or hardly describable by analytical formulas, one can use generic function approximators such as neural networks to capture the system dynamics directly from sensor measurements. As for now, current methods to learn the parameters of these neural networks are highly sensitive to the inherent instability of most dynamical systems of interest, which in turn prevents the study of very long sequences. In this work, we introduce a generic and scalable method based on multiple shooting to learn latent representations of indirectly observed dynamical systems. We achieve state-of-the-art performances on systems observed directly from raw images. Further, we demonstrate that our method is robust to noisy measurements and can handle complex dynamical systems, such as chaotic ones.

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