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Predictive online least squares method achieves logarithmic regret for linear dynamical systems

Researchers have developed a new online least squares method for predicting outcomes in marginally stable, partially observed linear dynamical systems. This method aims to minimize cumulative squared prediction loss and compete with the best hindsight predictors. By incorporating predictive hints, the approach achieves logarithmic regret even with unbounded trajectories, offering an adaptive and instance-wise optimal predictor compared to traditional fixed-gain observers. AI

Summary written by gemini-2.5-flash-lite from 1 source. How we write summaries →

IMPACT Introduces a novel theoretical framework for online prediction in dynamical systems, potentially improving adaptive learning algorithms.

RANK_REASON This is a research paper published on arXiv detailing a new theoretical method for online prediction. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.LG →

COVERAGE [1]

  1. arXiv cs.LG TIER_1 · Chih-Fan Pai, Yang Zheng ·

    Online Nonstochastic Prediction: Logarithmic Regret via Predictive Online Least Squares

    arXiv:2605.04364v1 Announce Type: new Abstract: We study online prediction for marginally stable, partially observed linear dynamical systems under nonstochastic disturbances. Our objective is to minimize the cumulative squared prediction loss and compete with the best-in-hindsig…