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Stochastic gradient based concurrent criterion learning and parameter-estimation

Mitra, Rangeet, Choi, Kwonhue, Bhatia, Vimal et Kaddoum, Georges. 2026. « Stochastic gradient based concurrent criterion learning and parameter-estimation ». Franklin Open, vol. 16.

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Résumé

For parameter-estimation over non-Gaussian noise, several learning criteria have emerged, which are known for their hyperparameter dependence. This work proposes a random Fourier feature based online hyperparameter free criterion learning algorithm that comprehensively alleviates dependence on hyperparameter choices and learns the criterion by self-adapting to underlying noise. First, for this joint parameter and criterion estimation, dynamical equations for the proposed hyperparameter-free algorithm are derived. Next, regarding the convergence characteristics of the proposed joint hyperparameter free parameter and criterion learning, rigorous analytical results are presented. Finally, case-studies aligned with classical signal processing applications like channel-estimation and channel-equalization are provided for performance validation of the proposed algorithm, and to verify the derived convergence analysis through computer simulations.

Type de document: Article publié dans une revue, révisé par les pairs
Chercheur(-euse):
Chercheur(-euse)
Kaddoum, Georges
Affiliation: Génie électrique
Date de dépôt: 04 sept. 2026 20:48
Dernière modification: 27 sept. 2026 16:21
URI: https://espace2.etsmtl.ca/id/eprint/34290

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