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Bayesian Sigmoid-Type Time Series Forecasting with Missing Data for Greenhouse Crops

2020/06/07 by Alexander Kocian, Giulia Carmassi, Fatjon Cela +3 · 1 citation
Agricultural and Biological Sciences · Chemistry · Mathematics · #Smart Agriculture and AI #Greenhouse Technology and Climate Control #Spectroscopy and Chemometric Analyses #Sigmoid function #Missing data #Time series #Computer science #Growing degree-day #Greenhouse #Dynamic Bayesian network #Algorithm #Bayesian probability #Data mining #Machine learning #Mathematics #Artificial intelligence #Statistics #Artificial neural network

paper · pdf · doi:10.3390/s20113246

openalex publication_date 2020/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

This paper follows an integrated approach of Internet of Things based sensing and machine learning for crop growth prediction in agriculture. A Dynamic Bayesian Network (DBN) relates crop growth associated measurement data to environmental control data via hidden states. The measurement data, having (non-linear) sigmoid-type dynamics, are instances of the two classes observed and missing, respectively. Considering that the time series of the logistic sigmoid function is the solution to a reciprocal linear dynamic model, the exact expectation-maximization algorithm can be applied to infer the hidden states and to learn the parameters of the model. At iterative convergence, the parameter estimates are then used to derive a predictor of the measurement data several days ahead. To evaluate the performance of the proposed DBN, we followed three cultivation cycles of micro-tomatoes (MicroTom) in a mini-greenhouse. The environmental parameters were temperature, converted into Growing Degree Days (GDD), and the solar irradiance, both at a daily granularity. The measurement data were Leaf Area Index (LAI) and Evapotranspiration (ET). Although measurement data were only available scarcely, it turned out that high quality measurement data predictions were possible up to three weeks ahead.

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