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Reverse hypercontractivity beats measure concentration for information theoretic converses
Jingbo Liu (MIT)
Abstract: Concentration of measure refers to a collection of tools and results from analysis and probability theory that have been used in many areas of pure and applied mathematics. Arguably, the first data science application of measure concentration (under the name ‘‘blowing-up lemma’’) is the proof of strong converses in multiuser information theory by Ahlswede, G'acs and K"orner in 1976. Since then, measure concentration has found applications in many other information theoretic problems, most notably the converse (impossibility) results in…
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Tselil Schramm (Harvard University)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.
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John Duchi (Stanford University)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.
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Aukosh Jagannath (Harvard University)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.
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Alan Frieze (Carnegie Mellon University)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar
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Sumit Mukherjee (Columbia University)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.
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Zongming Ma (University of Pennsylvania)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.
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Lucas Janson (Harvard University)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.
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Vladimir Koltchinskii (Georgia Tech)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.
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Guy Bresler (MIT)
MIT Statistics and Data Science Center host guest lecturers from around the world in this weekly seminar.
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