Lunchtime Seminar Series

Lunchtime Seminar Series

Lunchtime Seminar Series

A series of talks presented by staff from the Department of Mathematics and Statistics, on topics of broad general interest. The talks will be aimed at the lower undergraduate level and should be accessible to anyone who has experience with first-year mathematics and statistics and an interest in seeing the wide range of possibilities the study of mathematics and statistics affords.

Contact: Justin Tzou (justin.tzou@mq.edu.au)

Session 2, 2019

DETAILSTITLE & ABSTRACT

Tuesday 6 August:

Dr Paul Bryan (Lecturer in Mathematics, Macquarie University)

When: Tuesday 6th August 2019
Time: 1:00pm - 2:00pm
Where: 14 SCO Avenue, Access Grid Room 146 (just off the grad hall)

Title: Counting the ways we count

Abstract: Humans invented counting so they we could tell who had the most of something (e.g. land, sheep, votes, money, …). Fractions follow fairly naturally when we need to share a cake, and much to the dismay of the Pythagorean cult, simple geometric figures (e.g. the diagonal of a square) cannot always be described in terms of fractions so something was missing.Then we realised that we also needed to know who didn’t have something (e.g. enough grain for the winter) so we invented negative numbers. Eventually we found zero to be a very useful concept to describe a state of equilibrium (just the right amount of grain for the winter).Then things started to get weird. To find the roots of a cubic equation, we discovered that we needed square roots of negative numbers. To solve the equations of electromagnetism (now governing our lives through electricity supply, smart phones, etc.) much to everyone’s astonishment, we needed three different square roots of minus one! And then there is infinity.  One infinity is simply not enough, so now we have infinitely many infinities upon infinitley many infinites upon.

Tuesday (TBC):

When: Tuesday (TBC) 2019
Time: (TBC)
Where: 14 SCO Avenue, Access Grid Room 146 (just off the grad hall)

Title:

Abstract: 

Tuesday (TBC):

When: Tuesday (TBC) 2019
Time: (TBC)
Where: 14 SCO Avenue, Access Grid Room 146 (just off the grad hall)

Title:

Abstract:

Session 2, 2019

Tuesday 6 August:  Dr Paul Bryan, "Counting the ways we count"

Humans invented counting so they we could tell who had the most of something (e.g. land, sheep, votes, money, …). Fractions follow fairly naturally when we need to share a cake, and much to the dismay of the Pythagorean cult, simple geometric figures (e.g. the diagonal of a square) cannot always be described in terms of fractions so something was missing.Then we realised that we also needed to know who didn’t have something (e.g. enough grain for the winter) so we invented negative numbers. Eventually we found zero to be a very useful concept to describe a state of equilibrium (just the right amount of grain for the winter).Then things started to get weird. To find the roots of a cubic equation, we discovered that we needed square roots of negative numbers. To solve the equations of electromagnetism (now governing our lives through electricity supply, smart phones, etc.) much to everyone’s astonishment, we needed three different square roots of minus one! And then there is infinity.  One infinity is simply not enough, so now we have infinitely many infinities upon infinitley many infinites upon.

Session 1, 2019

Tuesday 21 May: Dr Hassan Doosti,  "Introduction to Quantile Regression"

In this talk, we will briefly introduce quantile regression and some of its applications. Whereas the ordinary regression models provide a grand summary for the averages of the distributions corresponding to the set of predictors, quantile regression aims at estimating the conditional quantiles of the dependent variable. Robustness against outliers of the regressand, higher efficiency for a wide range of error distributions and no distribution assumptions are main advantages of quantile regression. In the following figure, ordinary mean regression (left) does not show significant changes. However, some quantile regressions (right) show clear patterns, particularly for larger quantiles.

Tuesday 7 May: Dr Richard Garner,  "Deep Learning"

From beating 9th dan go players, to synthesising hellish dreamscapes, to recommending conspiracy theories on YouTube, is there nothing that modern artificial intelligence can't do? "Deep learning" is the hip modern nomenclature for what used to be called "neural networks"; and while many of the things deep learning does are indeed indistinguishable from magic, its mathematical underpinnings are laughably simple. The goal of this talk is to explain them to you.

Tuesday 2 April: Hugh Entwistle, "Convergence in the Central Limit Theorem"

The Central Limit Theorem is a famous and beautiful theorem in statistics however there are many things that yearn to be appreciated. Does the theorem work for all sums of random variables? Do these variables need to come from the same distribution? How many variables do we need for the theorem to work? I will first introduce, along with some initial conceptsin probability, what the Central Limit Theorem actually is as well as introducing the role that complex valued functions play in statistics. Finally I will lay the matter of convergence partially to rest by introducing the Berry-Esseen Inequality. The upper bound in this inequality is then studied in more detail before providing some applications

For past seminars, please go to our archive.

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