Communication Dans Un Congrès Année : 2025

New Insights into Lower Bound for Lie Groups and their Applications

Résumé

This article presents a comprehensive review of recent advances in intrinsic Cramér-Rao bounds (ICRBs) for Lie groups (LGs), which play a pivotal role in addressing estimation problems involving parameters and/or observations constrained by geometric structures. The review encompasses both deterministic and Bayesian frameworks, with a detailed examination of their formulation, derivation, and theoretical foundations. Furthermore, we underscore significant theoretical contributions and extend the discussion to practical estimation challenges, offering insights into their applicability. Emphasis is placed on methodologies for validating these bounds, providing a robust framework for performance evaluation across a variety of estimation problems in engineering and applied sciences.

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hal-05263411 , version 1 (16-09-2025)

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Sara El Bouch, Samy Labsir, Alexandre Renaux, Jordi Vilà-Valls, Eric Chaumette. New Insights into Lower Bound for Lie Groups and their Applications. 2025 59th Annual Conference on Information Sciences and Systems (CISS), Mar 2025, Baltimore, United States. ⟨10.1109/CISS64860.2025.10944664⟩. ⟨hal-05263411⟩
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