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Summary of Learning Deep Dissipative Dynamics, by Yuji Okamoto and Ryosuke Kojima


Learning Deep Dissipative Dynamics

by Yuji Okamoto, Ryosuke Kojima

First submitted to arxiv on: 21 Aug 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: Systems and Control (eess.SY); Dynamical Systems (math.DS)

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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
A novel study addresses the challenge of ensuring the dissipativity of neural networks learned from time-series data, which is crucial for dynamical systems. The authors propose a differentiable projection to transform any dynamics represented by neural networks into dissipative ones and develop a learning method for the transformed dynamics. This approach strictly guarantees stability, input-output stability, and energy conservation of trained systems. The method is demonstrated through applications in robotic arms and fluid dynamics.
Low GrooveSquid.com (original content) Low Difficulty Summary
This study shows that it’s possible to make sure a type of system learned from data behaves in a certain way. The authors use a special kind of projection to turn any neural network into one that is dissipative, which means it will always behave in a stable way. This is important because many real-world systems need to be stable and predictable. The study also shows how this method works by applying it to robots and fluids.

Keywords

» Artificial intelligence  » Neural network  » Time series