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.
A nonlinear programming algorithm for solving semidefinite programs via low-rank factorization
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An overview revisits LoRA variants by categorizing advances in architectural design, efficient optimization, and applications while linking them to classical signal processing tools for principled fine-tuning.
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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.