18844

Sharp Matrix Concentration

APA

(2021). Sharp Matrix Concentration. The Simons Institute for the Theory of Computing. https://simons.berkeley.edu/talks/sharp-matrix-concentration

MLA

Sharp Matrix Concentration. The Simons Institute for the Theory of Computing, Dec. 06, 2021, https://simons.berkeley.edu/talks/sharp-matrix-concentration

BibTex

          @misc{ scivideos_18844,
            doi = {},
            url = {https://simons.berkeley.edu/talks/sharp-matrix-concentration},
            author = {},
            keywords = {},
            language = {en},
            title = {Sharp Matrix Concentration},
            publisher = {The Simons Institute for the Theory of Computing},
            year = {2021},
            month = {dec},
            note = {18844 see, \url{https://scivideos.org/Simons-Institute/18844}}
          }
          
March Boedihardjo (University of California, Irvine)
Talk number18844
Source RepositorySimons Institute

Abstract

Classical matrix concentration inequalities are sharp up to a logarithmic factor. This logarithmic factor is necessary in the commutative case but unnecessary in many classical noncommutative cases. We will present some matrix concentration results that are sharp in many cases, where we overcome this logarithmic factor by using an easily computable quantity that captures noncommutativity. Joint work with Afonso Bandeira and Ramon van Handel. Paper: https://arxiv.org/abs/2108.06312