{"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/an-introduction-to-matrix-concentration","title":"An Introduction to Matrix Concentration Inequalities","arxiv_id":"1501.01571","date":"2015-01-07","proceeding":null,"authors":["Joel A. Tropp"],"abstract":"In recent years, random matrices have come to play a major role in\ncomputational mathematics, but most of the classical areas of random matrix\ntheory remain the province of experts. Over the last decade, with the advent of\nmatrix concentration inequalities, research has advanced to the point where we\ncan conquer many (formerly) challenging problems with a page or two of\narithmetic. The aim of this monograph is to describe the most successful\nmethods from this area along with some interesting examples that these\ntechniques can illuminate.","url_abs":"http://arxiv.org/abs/1501.01571v1","url_pdf":"http://arxiv.org/pdf/1501.01571v1.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":"abstracts"},"code_links":[{"paper_slug":"an-introduction-to-matrix-concentration","repo_url":"https://github.com/jurohd/Denoising-Analysis-Using-probability-Tools","is_official":0,"mentioned_in_paper":0,"mentioned_in_github":1,"framework":"none","reach":{"status":"ok"}}],"tasks":[],"methods":[],"datasets_introduced":[],"methods_introduced":[],"results":[],"syntology":{"syntology_url":"https://syntology.ai/paper/1501.01571","atlas_url":"https://app.syntology.ai/?focus=1501.01571","mcp":null,"developers":"https://syntology.ai/developers"},"arxiv_metadata":null,"syntology_extracted_results":null}