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New architecture learns mechanical system dynamics using position data on Lie groups

By PulseAugur Editorial · [2 sources] ·

Researchers have developed a novel architecture for learning the dynamics of mechanical systems using discrete forced Euler-Lagrange equations on Lie groups. This method leverages only position data, naturally preserving geometric structures and conservation laws by formulating dynamics directly on manifold-valued configuration spaces. The approach is versatile, extending to multibody systems and external control inputs, and has shown effectiveness on both synthetic and real-world datasets, particularly in scenarios where velocity data is scarce or unreliable. AI

IMPACT This research could advance the development of more robust and data-efficient AI models for robotics and control systems.

RANK_REASON The cluster contains an academic paper detailing a new method for learning mechanical system dynamics.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 2 sources. How we write summaries →

New architecture learns mechanical system dynamics using position data on Lie groups

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The cluster contains an academic paper detailing a new method for learning mechanical system dynamics.
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COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Martine Dyring Hansen, Marta Ghirardelli, Elena Celledoni, David Martin de Diego, Brynjulf Owren ·

    Learning Forced Multibody Dynamics on Lie Groups

    arXiv:2607.12627v1 Announce Type: new Abstract: We propose an architecture for learning the dynamics of mechanical systems based on discrete forced Euler-Lagrange equations on Lie groups using only position data. By formulating the dynamics directly on manifold-valued configurati…

  2. arXiv cs.LG TIER_1 English(EN) · Brynjulf Owren ·

    Learning Forced Multibody Dynamics on Lie Groups

    We propose an architecture for learning the dynamics of mechanical systems based on discrete forced Euler-Lagrange equations on Lie groups using only position data. By formulating the dynamics directly on manifold-valued configuration spaces, the method naturally respects the geo…

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