  In the current data-intensive era, big data has become a significant asset
for Artificial Intelligence (AI), serving as a foundation for developing
data-driven models and providing insight into various unknown fields. This
study navigates through the challenges of data uncertainties, storage
limitations, and predictive data-driven modeling using big data. We utilize
Robust Principal Component Analysis (RPCA) for effective noise reduction and
outlier elimination, and Optimal Sensor Placement (OSP) for efficient data
compression and storage. The proposed OSP technique enables data compression
without substantial information loss while simultaneously reducing storage
needs. While RPCA offers an enhanced alternative to traditional Principal
Component Analysis (PCA) for high-dimensional data management, the scope of
this work extends its utilization, focusing on robust, data-driven modeling
applicable to huge data sets in real-time. For that purpose, Long Short-Term
Memory (LSTM) networks, a type of recurrent neural network, are applied to
model and predict data based on a low-dimensional subset obtained from OSP,
leading to a crucial acceleration of the training phase. LSTMs are feasible for
capturing long-term dependencies in time series data, making them particularly
suited for predicting the future states of physical systems on historical data.
All the presented algorithms are not only theorized but also simulated and
validated using real thermal imaging data mapping a ship's engine.
