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add structural dynamics example #392

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This PR adds an example of the Augmented Kalman Filter for joint input-state estimation in structural dynamics using RxInfer.jl. The example includes:

  • A structural toy model setup.
  • Synthetic data generation.
  • Joint input-state estimation using the AKF smoother.
  • The example is based on the blog https://vflores-io.github.io/.

@bvdmitri
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Thanks @vflores-io for the example! Amazing! The core team is at the holiday mood right now, but we are going to review your work as soon as we can. Happy holidays!

@vflores-io
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Thank you @bvdmitri ! Heads-up: I will update in the next commit the shear_model png because in the previous version I forgot to draw the k coefficients.
Happy holidays!

@albertpod albertpod requested review from HoangMHNguyen and removed request for Raphael-Tresor December 23, 2024 14:05
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