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New Lagrangian Gaussian Processes Learn Dynamics From Position Data

Researchers have introduced Lagrangian Gaussian Processes (LGPs) to learn system dynamics more accurately and efficiently. This new method preserves the geometric structure of physical systems, preventing energy drift and enabling stable long-term predictions. A key advantage is its ability to learn from position data alone, without needing velocity or momentum information, making it applicable to scenarios like motion capture and robotics. AI

Summary written by gemini-2.5-flash-lite from 3 sources. How we write summaries →

IMPACT Introduces a novel method for learning system dynamics, potentially improving robotics and motion capture applications.

RANK_REASON The cluster contains an academic paper detailing a new methodology for machine learning.

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COVERAGE [3]

  1. arXiv cs.LG TIER_1 · Ove Christiansen ·

    Don't Get Your Kroneckers in a Twist: Gaussian Processes on High-Dimensional Incomplete Grids

    We introduce CUTS-GPR, a new method for performing numerically exact Gaussian process regression (GPR) in high-dimensional settings. The key component of CUTS-GPR is an extremely fast kernel matrix-vector product, which exhibits near-linear or even linear scaling with the amount …

  2. arXiv cs.LG TIER_1 · Jan-Hendrik Ewering, Kathrin Fla{\ss}kamp, Niklas Wahlstr\"om, Thomas B. Sch\"on, Thomas Seel ·

    Structure-Preserving Gaussian Processes Via Discrete Euler-Lagrange Equations

    arXiv:2605.06246v1 Announce Type: new Abstract: In this paper, we propose Lagrangian Gaussian Processes (LGPs) for probabilistic and data-efficient learning of dynamics via discrete forced Euler-Lagrange equations. Importantly, the geometric structure of the Lagrange-d'Alembert p…

  3. Hugging Face Daily Papers TIER_1 ·

    Structure-Preserving Gaussian Processes Via Discrete Euler-Lagrange Equations

    In this paper, we propose Lagrangian Gaussian Processes (LGPs) for probabilistic and data-efficient learning of dynamics via discrete forced Euler-Lagrange equations. Importantly, the geometric structure of the Lagrange-d'Alembert principle, which governs the motion of dynamical …