{"about":{"site":"https://codewithpapers.app","non_affiliation":"Code with Papers and Syntology are not affiliated with, endorsed by, or sponsored by Papers with Code, Meta, or the pwc-archive mirror.","licence":"CC BY-SA 4.0","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","attribution":"https://codewithpapers.app/attribution","modified":"archive material modified by Syntology; see the attribution page"},"url":"/paper/grassmanian-packings-trust-region-stochastic","title":"Grassmannian packings: Trust-region stochastic tuning for matrix incoherence","arxiv_id":"2207.06374","date":"2022-07-13","proceeding":null,"authors":["Josiah Park","Carlos Saltijeral","Ming Zhong"],"abstract":"We provide a new numerical procedure for constructing low coherence matrices, Trust-Region Stochastic Tuning for Matrix Incoherence (TRSTMI) and detail the results of experiments with a CPU/GPU parallelized implementation of this method. These trials suggest the superiority of this approach over other existing methods when the size of the matrix is large. We also present new conjectures on optimal complex matrices motivated and guided by the experimental results.","url_abs":"https://arxiv.org/abs/2207.06374v2","url_pdf":"https://arxiv.org/pdf/2207.06374v2.pdf","source":{"archive":"pwc-archive (Hugging Face), CC BY-SA 4.0","snapshot":"2025-07-28","licence_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","row_kind":"links_only","authors_date_abstract":"arXiv metadata, CC0 1.0 (https://info.arxiv.org/help/license), from the Kaggle arXiv metadata snapshot of 2026-09-12"},"code_links":[{"paper_slug":"grassmanian-packings-trust-region-stochastic","repo_url":"https://github.com/josiahpark/trstmi","is_official":1,"mentioned_in_paper":1,"mentioned_in_github":0,"framework":"pytorch","reach":null},{"paper_slug":"grassmanian-packings-trust-region-stochastic","repo_url":"https://github.com/MindCode-4/code-9/tree/main/TRSTMI","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"mindspore","reach":null},{"paper_slug":"grassmanian-packings-trust-region-stochastic","repo_url":"https://github.com/mindspore-ai/contrib/tree/master/application/TRSTMI","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"mindspore","reach":null},{"paper_slug":"grassmanian-packings-trust-region-stochastic","repo_url":"https://github.com/pwc-1/Paper-9/tree/main/4/TRSTMI","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":0,"framework":"mindspore","reach":null}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":null,"atlas_url":null,"mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}