Factor graph optimization problems can be lifted via Shor's relaxation and Burer-Monteiro factorization to produce certifiable estimators that preserve the original factor graph connectivity and can be implemented with existing libraries.
Boumal,An introduction to optimization on smooth manifolds
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FedSPDnet uses manifold projections and retractions to average Stiefel-constrained parameters in federated SPDnet, outperforming standard federated EEGnet on EEG motor imagery benchmarks in F1 score and robustness.
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Certifiable Factor Graph Optimization
Factor graph optimization problems can be lifted via Shor's relaxation and Burer-Monteiro factorization to produce certifiable estimators that preserve the original factor graph connectivity and can be implemented with existing libraries.
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FedSPDnet: Geometry-Aware Federated Deep Learning with SPDnet
FedSPDnet uses manifold projections and retractions to average Stiefel-constrained parameters in federated SPDnet, outperforming standard federated EEGnet on EEG motor imagery benchmarks in F1 score and robustness.