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New algorithm guarantees anytime regret for linear quadratic systems

Researchers have developed a new algorithm for controlling linear quadratic systems that guarantees anytime regret, meaning it can provide performance guarantees at any point in time. This algorithm is computationally efficient and achieves a regret of order $\mathcal{O}(\sqrt{t})$. It builds upon existing frameworks by incorporating regularization and confidence ellipsoids, and uses a novel input-perturbation mechanism for anytime performance. The approach also removes the need for a priori bounds on the Discrete Algebraic Riccati Equation solution, a limitation of previous optimism in the face of uncertainty algorithms. AI

IMPACT This algorithm could improve the efficiency and reliability of control systems in various applications, potentially impacting areas that rely on precise and adaptive control.

RANK_REASON The cluster contains an academic paper detailing a new algorithm for control systems. [lever_c_demoted from research: ic=1 ai=0.7]

Read on arXiv stat.ML →

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

New algorithm guarantees anytime regret for linear quadratic systems

COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Jafar Abbaszadeh Chekan, Cedric Langbort ·

    Any-Time Regret-Guaranteed Algorithm for Control of Linear Quadratic Systems

    arXiv:2406.07746v4 Announce Type: replace Abstract: We propose a computationally efficient algorithm that achieves anytime regret of order $\mathcal{O}(\sqrt{t})$, with explicit dependence on the system dimensions and on the solution of the Discrete Algebraic Riccati Equation (DA…