A Convergence Analysis of Approximate Message Passing with Non-Separable Functions and Applications to Multi-Class Classification
<|reference_start|>A Convergence Analysis of Approximate Message Passing with Non-Separable Functions and Applications to Multi-Class Classification: Motivated by the recent application of approximate message passing (AMP) to the analysis of convex optimizations in multi-class classifications [Loureiro, et. al., 2021], we present a convergence analysis of AMP dynamics with non-separable multivariate nonlinearities. As an application, we present a complete (and independent) analysis of the motivated convex optimization problem.<|reference_end|>
@article{çakmak2024a,
    title={A Convergence Analysis of Approximate Message Passing with Non-Separable
  Functions and Applications to Multi-Class Classification},
    author={Burak c{C}akmak, Yue M. Lu, Manfred Opper},
    journal={arXiv preprint arXiv:2402.08676},
    year={2024},
    archivePrefix={arXiv},
    eprint={2402.08676},
    primaryClass={cs.LG cs.IT math.IT}
}