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June 4, 2026Applied Sciences0 citationsOpen Access

Thermal Prediction for Efficient Management of Temperatures in System-in-Package (SiP) Using Machine Learning (ML)

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AOAziz OukairaMBMhamed Filali BabaOEOuafaa Ettahri

Key Points

  • The study aims to evaluate machine learning models for predicting node-level temperatures in System-in-Package modules.
  • Assessed three machine learning models: Random Forest, Extreme Gradient Boosting, and Variational Autoencoder.
  • Compared models on a finite-element dataset containing 10,201 nodes, utilizing normalized three-dimensional coordinates as inputs.
  • Evaluated accuracy, computational efficiency, and interpretability of predictions.
  • Random Forest achieved mean squared error of 0.098 °C² and coefficient of determination of 0.997.
  • Extreme Gradient Boosting registered the lowest inference latency at 0.0044 ms per node.
  • The Variational Autoencoder showed a significant regression penalty but maintained temperature-coherent latent geometry.

Abstract

System-in-Package (SiP) technology integrates processors, memory stacks, and radio-frequency modules within millimeter-scale enclosures, generating localized thermal peaks that passive cooling cannot address and that are too costly for finite-element solvers to track in real time. Machine learning offers a tractable alternative, but ensemble and generative families have not been jointly evaluated for this task. This work has three objectives: (1) to assess whether ensemble and generative models can predict node-level temperatures in SiP modules with surrogate-grade accuracy; (2) to quantify how a structural mismatch between a generative training objective and a deterministic regression task affects prediction quality; and (3) to identify the family offering the best trade-off between accuracy, computational efficiency, and interpretability. Three paradigms are compared on a finite-element dataset of 10,201 nodes: Random Forest, Extreme Gradient Boosting, and a Variational Autoencoder using normalized three-dimensional coordinates as inputs. Random Forest delivers the strongest accuracy (mean squared error 0.098 °C2; coefficient of determination 0.997); Extreme Gradient Boosting attains the lowest inference latency (0.0044 ms per node, 0.8 MB); the Variational Autoencoder incurs a two-orders-of-magnitude regression penalty consistent with its generative objective but preserves a temperature-coherent latent geometry. Ensemble methods are recommended for accurate, interpretable thermal prediction, while the Variational Autoencoder suits downstream anomaly detection.

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Cite This Study

Oukaira et al. (2026) studied this question.

synapsesocial.com/papers/6a2117bfd499ed480b170940https://doi.org/10.3390/app16115468
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