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Incorporating physical knowledge into deep neural network

Abstract : A physical process is a sustained phenomenon marked by gradual changes through a series of states occurring in the physical world. Physicists and environmental scientists attempt to model these processes in a principled way through analytic descriptions of the scientist’s prior knowledge of the underlying processes. Despite the undeniable Deep Learning success, a fully data-driven approach is not yet ready to challenge the classical approach for modeling dynamical systems. We will try to demonstrate in this thesis that knowledge and techniques accumulated for modeling dynamical systems processes in well-developed fields such as maths or physics could be useful as a guideline to design efficient learning systems and conversely, that the ML paradigm could open new directions for modeling such complex phenomena. We describe three tasks that are relevant to the study and modeling of Deep Learning and Dynamical System : Forecasting, hidden state discovery and unsupervised signal recovery.
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Arthur Pajot. Incorporating physical knowledge into deep neural network. Neural and Evolutionary Computing [cs.NE]. Sorbonne Université, 2019. English. ⟨NNT : 2019SORUS290⟩. ⟨tel-03015931⟩

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