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The aim of this paper is to prove an improved version of the bounded differences inequality for matrix valued functions, by developing the methods of Mackey et al.: "Matrix Concentration Inequalities via the Method of Exchangeable Pairs".
[author] Lindvall, TorgnyT. (1992). Lectures on the coupling method. Wiley Series in Probability and Mathematical Statistics: Probability and Mathematical Statistics. John Wiley & Sons Inc., New York. A Wiley-Interscience Publication. 1180522 (94c:60002) \endbibitem
1992
Earlier work this paper cites.
[author] Petz, DénesD. (1994). A survey of certain trace inequalities. In Functional analysis and operator theory (Warsaw, 1992). Banach Center Publ. 30 287–298. Polish Acad. Sci., Warsaw. 1285615 (95c:15038) \endbibitem
1992
Earlier work this paper cites.
[author] Ahlswede, RudolfR. and Winter, AndreasA. (2002). Strong converse for identification via quantum channels. IEEE Trans. Inform. Theory 48 569–579. 10.1109/18.985947. 1889969 (2003d:94069) \endbibitem
2002
Earlier work this paper cites.
[author] Chatterjee, SouravS. (2005). Concentration inequalities with exchangeable pairs. Thesis (Ph.D.)–Stanford University, Available at http://arxiv.org/abs/math.PR/0507526 . 2707160 \endbibitem
2005
Cited alongside, same era.
[author] Boucheron, StéphaneS., Lugosi, GáborG. and Massart, PacalP. (2009). On concentration of self-bounding functions. Electron. J. Probab. 14 no. 64, 1884–1899. 2540852 (2010k:60058) \endbibitem
2009
Cited alongside, same era.
[author] Mackey, LesterL. (2012). Matrix Factorization and Matrix Concentration PhD thesis, EECS Department, University of California, Berkeley Available at http://www.eecs.berkeley.edu/Pubs/TechRpts/2012/EECS-2012-99.html . \endbibitem
2012
Cited alongside, same era.
[author] Mackey, L.L., Jordan, M. I.M. I., Chen, R. Y.R. Y., Farrell, B.B. and Tropp, J. A.J. A. (2012). Matrix Concentration Inequalities via the Method of Exchangeable Pairs. ArXiv e-prints. \endbibitem
2012
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2012
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