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Summary of Physics-informed Variational State-space Gaussian Processes, by Oliver Hamelijnck and Arno Solin and Theodoros Damoulas


Physics-Informed Variational State-Space Gaussian Processes

by Oliver Hamelijnck, Arno Solin, Theodoros Damoulas

First submitted to arxiv on: 20 Sep 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Machine Learning (stat.ML)

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GrooveSquid.com Paper Summaries

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Summary difficulty Written by Summary
High Paper authors High Difficulty Summary
Read the original abstract here
Medium GrooveSquid.com (original content) Medium Difficulty Summary
This paper presents a novel approach to data-driven physics-informed models, leveraging Gaussian processes (GPs) to model complex phenomena while incorporating prior knowledge and uncertainty quantification. The proposed variational spatio-temporal state-space GP overcomes limitations of current methods by achieving efficient linear-in-time computation costs while handling both linear and non-linear physical constraints. The paper demonstrates its effectiveness in synthetic and real-world settings, outperforming the current state-of-the-art in predictive and computational performance.
Low GrooveSquid.com (original content) Low Difficulty Summary
This paper is about creating new ways to use data to understand complex things that happen over time and space. It’s like trying to predict where a ball will go based on how it moves now. The scientists used something called Gaussian processes, which are good at handling tricky problems, to make better predictions. They also made sure their method was fast and accurate. This new approach works well in lots of different situations and is better than what other people have done before.

Keywords

* Artificial intelligence