Graduiertenkolleg: Methods for Discrete Structures

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Monday Lecture and Colloquium


Monday, November 13, 2017

Freie Universität Berlin
Institut für Informatik
Takustr. 9
14195 Berlin
room 005



Lecture - 14:15

June Huh - IAS Princeton


Negative correlation and Hodge-Riemann relations

Abstract:
All finite graphs satisfy the two properties mentioned in the title. I will explain what I mean by this, and speculate on generalizations and interconnections. This talk will be non-technical: Nothing will be assumed beyond basic linear algebra.



Colloquium - 16:00

Carlos Amendola - TU & FU Berlin


Discrete Gaussian Distributions Via Theta Functions

Abstract:
Maximum entropy probability distributions are important for information theory and relate directly to exponential families in statistics. Having the property of maximizing entropy can be used to define a discrete analogue of the classical continuous Gaussian distribution. We present a parametrization of such a density using the Riemann Theta function, use it to derive fundamental properties which include computing its characteristic function, and exhibit connections to the study of abelian varieties. This is joint work with Daniele Agostini (HU Berlin).




Letzte Aktualisierung: 03.11.2017