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New TT-WSINDy Method Tackles High-Dimensional Nonlinear Dynamics

By PulseAugur Editorial · [1 sources] ·

Researchers have developed TT-WSINDy, a novel method for identifying nonlinear dynamics in high-dimensional systems. This approach combines Multidimensional Approximation of Nonlinear Dynamics (MANDy) and Weak Sparse Identification of Nonlinear Dynamics (WSINDy) techniques, utilizing the tensor-train (TT) format for computations. TT-WSINDy effectively navigates an exponentially large space of candidate functions without succumbing to the curse of dimensionality, enabling efficient weak-form transformation, regression, and sparsification. AI

IMPACT This method could enable more efficient analysis of complex, high-dimensional data in AI research.

RANK_REASON The item is an academic paper detailing a new computational method. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

AI-generated summary · Google Gemini · from 1 sources. How we write summaries →

New TT-WSINDy Method Tackles High-Dimensional Nonlinear Dynamics

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The item is an academic paper detailing a new computational method. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Will Houser, Vanja Dukic, David M. Bortz ·

    Tensor-Train Weak SINDy: Identifying High-Dimensional Nonlinear Dynamics

    arXiv:2609.09434v1 Announce Type: cross Abstract: In recent years, weak-form methods have made significant advances in data-driven discovery of dynamical systems. However, in high-dimensional settings, current techniques can prove expensive in both computation and memory. In this…

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