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New Exponentially Weighted Signature Model Extends State-Space Models

Researchers have introduced the exponentially weighted signature (EWS), a novel continuous-time model that extends state-space models (SSMs) by computing iterated integrals of a path with increments weighted by a learnable generator. This model maintains the group-like structure and universality of signatures while enabling parallel scans. At its most basic, the EWS functions as an SSM, and the researchers have demonstrated its equivalence to linear time-invariant SSMs, Mamba channels, and Mamba-2 heads. Empirically, the EWS has shown superior performance on time-series classification tasks, with depth generally improving accuracy, and has matched or surpassed competing SSMs on regression and forecasting with fewer parameters. AI

IMPACT Introduces a new model architecture that may offer improved performance and parameter efficiency for time-series classification and forecasting tasks.

RANK_REASON The cluster contains an academic paper detailing a new model architecture. [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 Exponentially Weighted Signature Model Extends State-Space Models

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The cluster contains an academic paper detailing a new model architecture. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Alexandre Bloch, Benjamin Walker, Jo\"el Mouterde, Sam Morley, Samuel N. Cohen, Terry Lyons ·

    Extending SSMs with the Exponentially Weighted Signature

    arXiv:2603.19198v3 Announce Type: replace Abstract: We introduce the exponentially weighted signature (EWS), a continuous-time model that computes iterated integrals of a path, where each increment is weighted by the matrix exponential of a learnable generator over elapsed clock …