Technical University of Munich

Thu 21 Sep 2017, 3:00pm
SPECIAL
LSK 306

Overview of the Julia programming language: an 8 hour minicourse Part III

LSK 306
Thu 21 Sep 2017, 3:00pm5:30pm
Details
Course description: The Julia programming language is designed to be a high level language for numerical computing, that is as fast as C or Fortran, despite employing a high level syntax. Since its first release in 2012 it has been continually improved and build a fast growing community around it.
The aim of this course is to give an overview of the key concepts of the Julia programming language as well as explain the advantages over other languages designed for numerical computing, as e.g. Matlab or R. Furthermore it demonstrates how readily available packages developed with Julia can be used to solve common problems occurring in numerical analysis, such as  linear systems of equations  non linear systems of equations  ordinary differential equations  linear programs. The course will also cover the basic tasks frequently encountered by numerical analysts: benchmarking, plotting and debugging. If time permits we will also explore possibilities for using Julia in deep learning applications.
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UBC Math

Fri 22 Sep 2017, 3:00pm
Department Colloquium
ESB 2012

Some directions in analysis and geometry of probability measures

ESB 2012
Fri 22 Sep 2017, 3:00pm4:00pm
Abstract
Probability measures are key objects in many scientific and engineering areas that deal with randomness, distributions, data sets, etc. When coupled with optimization, many interesting questions naturally arise. In this talk, I will explain a few of such questions from the point of view of optimal transport theory, which gives a natural and robust framework for studying probability measures. These involve among others, matching probability measures in an optimal way following certain rules (e.g martingale), as well as finding geometric averages between probability measures.
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USC

Tue 26 Sep 2017, 4:00pm
Discrete Math Seminar
ESB 4127

Combinatorial bases of polynomials

ESB 4127
Tue 26 Sep 2017, 4:00pm5:00pm
Abstract
We establish a poset structure on combinatorial bases of polynomials, defined by positive expansions. These bases include the wellstudied Schubert polynomials, Demazure characters and Demazure atoms, as well as the recentlyintroduced slide and quasikey bases. The product of a Schur polynomial and an element of a basis in the poset expands positively in that basis; in particular we give the first LittlewoodRichardson rule for the product of a Schur polynomial and a quasikey polynomial, extending the rule of Haglund, Luoto, Mason and van Willigenburg for quasiSchur polynomials. We also establish bijections connecting combinatorial models for these polynomials, including semiskyline fillings and quasikey tableaux.
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The University of Melbourne

Wed 27 Sep 2017, 3:00pm
Discrete Math Seminar / Probability Seminar
ESB 2012

1324 patternavoiding permutations

ESB 2012
Wed 27 Sep 2017, 3:00pm4:00pm
Abstract
The field of patternavoiding permutations was introduced by Knuth in the 1960s as a way of characterising certain data structures.
Since then, it has grown into an important area in its own right. There are a number of classical problems, among which is the number of 1324avoiding
permutations. We will give some history, and then give details of a new algorithm we have developed for the generating function for this problem.
As a result we can count these up to length 50.
A new method of analysis we have developed, which can in some circumstances be an alternative to Monte Carlo analysis, reveals some interesting features.
In particular, we conjecture that the generating function is not Dfinite, and has asymptotics that include a stretchedexponential term.
(Joint work with Andrew Conway and Paul ZinnJustin).
The late, great Mark Kac often said that his seminars assumed zero knowledge but infinite wisdom.
This seminar only assumes zero knowledge and finite wisdom.
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Seminar Information Pages

Note for Attendees
Light refreshments will be served in ESB 4133, the PIMS Lounge before this colloquium.