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New AI methods tackle fractional-order and metastable dynamics

By PulseAugur Editorial · [2 sources] ·

Researchers are developing new methods to analyze complex system dynamics. One approach focuses on learning fractional-order linear time-invariant systems from single trajectories, proposing a grid-search estimator that decouples identification problems and achieves error bounds scaling as O(t^-1/2). Another study uses Koopman theory to analyze metastability, a phenomenon where systems get trapped in quasi-stable states before transitioning, by learning a linear representation of dynamics in a latent space. This framework can anticipate metastable behavior and uses the dominant eigenvalue of the Koopman matrix as a critical indicator. AI

IMPACT These methods could advance scientific understanding and modeling of complex systems across various domains.

RANK_REASON Two arXiv papers presenting novel research methodologies for analyzing complex system dynamics.

Read on arXiv cs.LG →

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

New AI methods tackle fractional-order and metastable dynamics

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COVERAGE [2]

  1. arXiv cs.LG TIER_1 English(EN) · Xiaole Zhang, Ziyi Zhang, Zehao Zhao, Stephen Tu, Guannan Qu, Yorie Nakahira, Paul Bogdan ·

    Learning Fractional-Order Dynamics from a Single Trajectory

    arXiv:2609.18127v1 Announce Type: new Abstract: Many real-world processes exhibit long-range dependence, where the current state depends on a slowly decaying trace of past states rather than on the most recent state alone. This paper studies system identification for discrete-tim…

  2. arXiv cs.LG TIER_1 English(EN) · Rupak Majumdar, Mahmoud Salamati, Nikhil Singh, Sadegh Soudjani ·

    Learning Metastable Dynamics

    arXiv:2609.14712v1 Announce Type: cross Abstract: Metastability---a phenomenon where systems remain trapped in quasi-stable states before abruptly transitioning under rare perturbations---is ubiquitous in physical systems. Although metastability is a widely observed phenomenon, i…

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