ML Anthology

Identifiable Autoregressive Variational Autoencoders for Nonlinear and Nonstationary Spatio-Temporal Blind Source Separation

Mika Sipilä, Klaus Nordhausen, Sara Taskinen
ECML-PKDD 2025 pp. 362-380
doi:10.1007/978-3-032-06109-6_21 /ecmlpkdd/2025/sipila2025ecmlpkdd-identifiable/

Abstract

The modeling and prediction of multivariate spatio-temporal data involve numerous challenges. Dimension reduction methods can significantly simplify this process, provided that they account for the complex dependencies between variables and across time and space. Nonlinear blind source separation has emerged as a promising approach, particularly following recent advances in identifiability results. Building on these developments, we introduce the identifiable autoregressive variational autoencoder, which ensures the identifiability of latent components consisting of nonstationary autoregressive processes. The blind source separation efficacy of the proposed method is showcased through a simulation study, where it is compared against state-of-the-art methods, and the spatio-temporal prediction performance is evaluated against several competitors on air pollution and weather datasets.

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Cite

Text

Sipilä et al. "Identifiable Autoregressive Variational Autoencoders for Nonlinear and Nonstationary Spatio-Temporal Blind Source Separation." European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases, 2025. doi:10.1007/978-3-032-06109-6_21

Markdown

[Sipilä et al. "Identifiable Autoregressive Variational Autoencoders for Nonlinear and Nonstationary Spatio-Temporal Blind Source Separation." European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases, 2025.](https://mlanthology.org/ecmlpkdd/2025/sipila2025ecmlpkdd-identifiable/) doi:10.1007/978-3-032-06109-6_21

BibTeX

@inproceedings{sipila2025ecmlpkdd-identifiable,
  title     = {{Identifiable Autoregressive Variational Autoencoders for Nonlinear and Nonstationary Spatio-Temporal Blind Source Separation}},
  author    = {Sipilä, Mika and Nordhausen, Klaus and Taskinen, Sara},
  booktitle = {European Conference on Machine Learning and Principles and Practice of Knowledge Discovery in Databases},
  year      = {2025},
  pages     = {362-380},
  doi       = {10.1007/978-3-032-06109-6_21},
  url       = {https://mlanthology.org/ecmlpkdd/2025/sipila2025ecmlpkdd-identifiable/}
}