This research paper investigates the spectral stability of Extreme Learning Machines (ELMs) that utilize pseudoinverse-based methods for computing output weights. The study demonstrates that the smallest singular value of the hidden layer matrix is a critical factor in amplifying perturbations in the output weights, while the condition number quantifies hidden-layer instability. Comparisons between Singular Value Decomposition (SVD)-based pseudoinverse computation and iterative hyperpower methods indicate that SVD-based approaches offer superior reliability, particularly under ill-conditioned scenarios. AI
IMPACT Provides theoretical insights into the numerical stability of a specific machine learning training method.
RANK_REASON The cluster contains an academic paper published on arXiv.
- extreme learning machine
- hyperpower methods
- Moore-Penrose pseudoinverse
- SVD-based methods
- SVD-based pseudoinverse computation
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