{"id":"2606.31390","title":"Direction-Magnitude Decomposition for Low-Rank Matrix Optimization: Faster Convergence and Saddle-to-saddle Dynamics","url":"https://codeofpaper.com/paper/2606.31390","arxiv_url":"https://arxiv.org/abs/2606.31390","published":"2026-06-30","code":"none","best":null,"most_starred_community":null,"implementations":[],"possible_matches":0}