Some entropy properties of discrete random variables
40 mins 45 secs,
155.81 MB,
iPod Video
480x270,
29.97 fps,
44100 Hz,
522.03 kbits/sec
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About this item
| Description: |
Johnson, O
Thursday 26th July 2018 - 09:45 to 10:30 |
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| Created: | 2018-07-27 16:33 |
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| Collection: | Mathematical Challenges in Quantum Information |
| Publisher: | Isaac Newton Institute |
| Copyright: | Johnson, O |
| Language: | eng (English) |
| Distribution: |
World
(downloadable)
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| Explicit content: | No |
| Aspect Ratio: | 16:9 |
| Screencast: | No |
| Bumper: | UCS Default |
| Trailer: | UCS Default |
| Abstract: | It is well-known that Gaussian random variables have many attractive properties: they are maximum entropy, they are stable under addition and scaling, they give equality in the Entropy Power Inequality (and hence give sharp log-Sobolev inequalities) and have good entropy concavity properties. I will discuss the extent to which results of this kind can be formulated for discrete random variables, and how they relate to ideas of discrete log-concavity.
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| iPod Video * | 480x270 | 522.03 kbits/sec | 155.81 MB | View | Download | |
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