Optimal Stopping and Constraints for Diffusion Models of Signals with Discontinuities

Abstract

Gaussian process regression models can be utilized in recovery of discontinuous signals. Their computational complexity is linear in the number of observations if applied with the covariance functions of nonlinear diffusion. However, such processes often result in hard-to-control jumps of the signal value. Synthetic examples presented in this work indicate that Bayesian evidence-maximizing stopping and knowledge whether signal values are discrete help to outperform the steady state solutions of nonlinear diffusion filtering.

Cite

Text

Girdziusas and Laaksonen. "Optimal Stopping and Constraints for Diffusion Models of Signals with Discontinuities." European Conference on Machine Learning, 2005. doi:10.1007/11564096_56

Markdown

[Girdziusas and Laaksonen. "Optimal Stopping and Constraints for Diffusion Models of Signals with Discontinuities." European Conference on Machine Learning, 2005.](https://mlanthology.org/ecmlpkdd/2005/girdziusas2005ecml-optimal/) doi:10.1007/11564096_56

BibTeX

@inproceedings{girdziusas2005ecml-optimal,
  title     = {{Optimal Stopping and Constraints for Diffusion Models of Signals with Discontinuities}},
  author    = {Girdziusas, Ramunas and Laaksonen, Jorma},
  booktitle = {European Conference on Machine Learning},
  year      = {2005},
  pages     = {576-583},
  doi       = {10.1007/11564096_56},
  url       = {https://mlanthology.org/ecmlpkdd/2005/girdziusas2005ecml-optimal/}
}