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New algorithms improve computation of Volterra signature for time series

Researchers have developed new algorithms to efficiently compute the Volterra signature, an extension of the classical path signature that incorporates general matrix-valued kernels for time series analysis. The proposed methods address algorithmic challenges introduced by these kernels, offering solutions with varying computational complexities. These algorithms are implemented in a publicly available JAX-based package called "tensordev". AI

Summary written by gemini-2.5-flash-lite from 2 sources. How we write summaries →

IMPACT Introduces efficient computational methods for advanced time series analysis, potentially impacting AI models that rely on sequential data.

RANK_REASON The cluster contains an arXiv preprint detailing new algorithms for a mathematical concept.

Read on arXiv stat.ML →

New algorithms improve computation of Volterra signature for time series

COVERAGE [2]

  1. arXiv stat.ML TIER_1 · Paul P. Hager, Fabian N. Harang, Luca Pelizzari, Samy Tindel ·

    Computational aspects of the Volterra Signature

    arXiv:2605.18406v1 Announce Type: cross Abstract: The Volterra signature extends the classical path signature by incorporating general matrix-valued kernel into its iterated integral structure, yielding a flexible notion of memory for time series. Its components can be viewed as …

  2. arXiv stat.ML TIER_1 · Samy Tindel ·

    Computational aspects of the Volterra Signature

    The Volterra signature extends the classical path signature by incorporating general matrix-valued kernel into its iterated integral structure, yielding a flexible notion of memory for time series. Its components can be viewed as successive Picard iterates of linear controlled Vo…