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PreprintCC BY-NC-ND 4.0HAL

Multivariate LSTM Modeling for Wastewater Quality Prediction

Abstract

The proposed approach relies on high-frequency multivariate time series collected at the Seine aval (SIAAP 1 ) treatment plant, including pH, temperature, conductivity, and total suspended solids, as well as exogenous variables related to precipitation and measurements from an upstream plant. The objective is to forecast wastewater quality over a 24-hour horizon. A multivariate Long Short-Term Memory (LSTM) recurrent neural network is implemented to capture complex temporal dependencies and nonlinear patterns in the data. The model is trained on one year of data and validated on four months of data (one per season), and is compared with a persistence model and SARIMA models. The evaluation shows an overall superiority of the LSTM model, particularly for variables exhibiting high levels of noise and nonlinearity.

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BibTeX
@misc{laruelle2026multivariate,
  title = {{Multivariate LSTM Modeling for Wastewater Quality Prediction}},
  author = {Sophie Laruelle and Innocentia Bénédicta Sossou},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.09996},
  eprint = {2610.09996},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05774555v1},
  note = {CC BY-NC-ND 4.0},
}
RIS
TY  - UNPB
TI  - Multivariate LSTM Modeling for Wastewater Quality Prediction
AU  - Sophie Laruelle
AU  - Innocentia Bénédicta Sossou
PY  - 2026
DA  - 2026/10/07
PB  - HAL
DO  - 10.48550/arxiv.2610.09996
UR  - https://hal.science/hal-05774555v1
AB  - The proposed approach relies on high-frequency multivariate time series collected at the Seine aval (SIAAP 1 ) treatment plant, including pH, temperature, conductivity, and total suspended solids, as well as exogenous variables related to precipitation and measurements from an upstream plant. The objective is to forecast wastewater quality over a 24-hour horizon. A multivariate Long Short-Term Memory (LSTM) recurrent neural network is implemented to capture complex temporal dependencies and nonlinear patterns in the data. The model is trained on one year of data and validated on four months of data (one per season), and is compared with a persistence model and SARIMA models. The evaluation shows an overall superiority of the LSTM model, particularly for variables exhibiting high levels of noise and nonlinearity.
ER  -