Online Learning of Functional Principal Component Analysis for Multidimensional Functional Data

arXiv:2505.02131 · stat.ME, stat.ML · Submitted 2025-05-04 · Read on arXiv

stat.ME, stat.ML

Submitted: 2025-05-04

Updated: 2026-09-03

Comments: 34 pages, 3 figures

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Adam — 13× in this paper · explained in 2 episodes
• Accuracy — 8× in this paper · explained in 1 episode
• Objective Function — 7× in this paper · explained in 2 episodes
• Stiefel manifold — 5× in this paper · explained in 2 episodes
• Regularization — 4× in this paper · explained in 3 episodes
• Air Quality Index — 3× in this paper
• Longitudinal Data — 3× in this paper · explained in 2 episodes
• Curse of Dimensionality — 2× in this paper · explained in 6 episodes
• Interpretability — 2× in this paper · explained in 15 episodes
• United States Environmental Protection Agency — 2× in this paper
• Clustering — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Feature Extraction — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Glomerular Filtration Rate — 1× in this paper
• Loss Function — 1× in this paper · explained in 2 episodes
• Trace — 1× in this paper · explained in 2 episodes

Sources

• Adam: A Method for Stochastic Optimization

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