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Summary of Recovering the State and Dynamics Of Autonomous System with Partial States Solution Using Neural Networks, by Vijay Kag


Recovering the state and dynamics of autonomous system with partial states solution using neural networks

by Vijay Kag

First submitted to arxiv on: 4 Aug 2024

Categories

  • Main: Machine Learning (cs.LG)
  • Secondary: 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
The deep hidden physics model is a powerful tool for autonomous systems, which rely on ordinary differential equations to describe their behavior. This paper explores the performance of this model in various scenarios, including chemical concentrations, population dynamics, and n-body problems. By approximating both state and dynamics using neural networks, the authors demonstrate that it’s possible to estimate the dynamics of certain states even when information about all states is unknown.
Low GrooveSquid.com (original content) Low Difficulty Summary
The researchers used a deep hidden physics model to study autonomous systems described by ordinary differential equations. They showed that this approach can be effective in modeling different types of systems, such as those found in nature or used in applications like chemical concentrations and population dynamics. The authors’ work highlights the potential of this technique for estimating the dynamics of certain states when information about all states is not available.

Keywords

* Artificial intelligence