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#neural-operators — Public Fediverse posts

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  1. For modelling non-linear dynamical systems on a mesh, you can "lift" the states using some function such that you have a linear operation in a higher dimensional space. Koopman operators are the linear operators in Hilbert spaces, and recently neural networks have been applied to learn system dynamics in this space. This paper proposes a pytorch module for Koopman Neural Operators.

    #MachineLearning #DynamicalSystem #NeuralOperators
    arxiv.org/abs/2301.01104

  2. For modelling non-linear dynamical systems on a mesh, you can "lift" the states using some function such that you have a linear operation in a higher dimensional space. Koopman operators are the linear operators in Hilbert spaces, and recently neural networks have been applied to learn system dynamics in this space. This paper proposes a pytorch module for Koopman Neural Operators.

    #MachineLearning #DynamicalSystem #NeuralOperators
    arxiv.org/abs/2301.01104