Riemannian Optimization for Hadamard Products of Low-Rank Matrices

arXiv:2606.01216 · cs.LG, math.OC · Submitted 2026-05-31 · Read on arXiv

cs.LG, math.OC

Submitted: 2026-05-31

Updated: 2026-08-31

Terminology

• Robustness — 9× in this paper · explained in 5 episodes
• Riemannian optimization — 6× in this paper · explained in 2 episodes
• Loss Function — 5× in this paper · explained in 2 episodes
• Riemannian Gradient Descent — 5× in this paper
• Matrix Completion — 4× in this paper · explained in 3 episodes
• Adaptation — 3× in this paper · explained in 1 episode
• Accuracy — 1× in this paper · explained in 1 episode
• Axioms — 1× in this paper · explained in 2 episodes
• Benchmark — 1× in this paper · explained in 2 episodes
• Computational overhead — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Fine-Tuning — 1× in this paper · explained in 5 episodes
• Latent Space — 1× in this paper · explained in 7 episodes
• Parameter-Efficient Fine-Tuning — 1× in this paper · explained in 2 episodes
• Regularization — 1× in this paper · explained in 3 episodes
• Representation Learning — 1× in this paper · explained in 2 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• A Riemannian geometry for low-rank matrix completion

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