Thursday 17 March 2022. Online only. 5.00-6.15pm In December 2021 mathematicians at Oxford and Sydney universities together with their collaborators at DeepMind announced that they had successfully used tools from machine learning to discover new patterns in mathematics. But what exactly had they done and what are its implications for the future of mathematics and mathematicians?
person looking at a computer screen and editing a web page
How to create a page, add it to the menu, decide who can access it, and publish it.
THE INFLUENCE OF WALL FLEXIBILITY AND SURFACTANT ON LIQUID BOLUS PROPAGATION ALONG A LIQUID-LINED TUBE
Waters, S Howell, P Grotberg, J ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE) volume 1998-D 97-98 (01 Jan 1998)
Tue, 31 May 2022

16:00 - 18:00
L5

'My avid fellow feeling' and 'Fleas': Playing with words on the computer

Troy Astarte
(Swansea University)
Abstract

Computers have been used to process natural language for many years. This talk considers two historical examples of computers used rather to play with human language, one well-known and the other a new archival discovery: Strachey’s 1952 love letters program, and a poetry programming competition held at Newcastle University in 1968. Strachey’s program used random number generation to pick words to fit into a template, resulting in letters of varying quality, and apparently much amusement for Strachey. The poetry competition required the entrants, mostly PhD students, to write programs whose output or source code was in some way poetic: the entries displayed remarkable ingenuity. Various analyses of Strachey’s work depict it as a parody of attitudes to love, an artistic endeavour, or as a technical exploration. In this talk I will consider how these apply to the Newcastle competition and add my own interpretations.

Dyadic decomposition of convex domains of finite type and applications
Gan, C Hu, B Khan, I Mathematische Zeitschrift volume 301 1939-1962 (08 Feb 2022)
Generation time of the alpha and delta SARS-CoV-2 variants: an epidemiological analysis
Hart, W Miller, E Andrews, N Waight, P Maini, P Funk, S Thompson, R Lancet Infectious Diseases volume 22 issue 5 603-610 (14 Feb 2022)
Tue, 22 Feb 2022
14:00
C2

Minimum degree stability and locally colourable graphs

Freddie Illingworth
(Oxford)
Abstract

We tie together two natural but, a priori, different themes. As a starting point consider Erdős and Simonovits's classical edge stability for an $(r + 1)$-chromatic graph $H$. This says that any $n$-vertex $H$-free graph with $(1 − 1/r + o(1)){n \choose 2}$ edges is close to (within $o(n^2)$ edges of) $r$-partite. This is false if $1 − 1/r$ is replaced by any smaller constant. However, instead of insisting on many edges, what if we ask that the $n$-vertex graph has large minimum degree? This is the basic question of minimum degree stability: what constant $c$ guarantees that any $n$-vertex $H$-free graph with minimum degree greater than $cn$ is close to $r$-partite? $c$ depends not just on chromatic number of $H$ but also on its finer structure.

Somewhat surprisingly, answering the minimum degree stability question requires understanding locally colourable graphs -- graphs in which every neighbourhood has small chromatic number -- with large minimum degree. This is a natural local-to-global colouring question: if every neighbourhood is big and has small chromatic number must the whole graph have small chromatic number? The triangle-free case has a rich history. The more general case has some similarities but also striking differences.

A map of the world with incidence circles

The first months of 2020 brought the world to an almost complete standstill due to the occurrence and outbreak of the SARS-CoV-2 coronavirus, which causes the highly contagious COVID-19 disease. Despite the hopes that rapidly developing medical sciences would quickly find an effective remedy, the last two years have made it quite clear that, despite vaccines, this is not very likely.

Thu, 05 May 2022

12:00 - 13:00
L1

When machine learning deciphers the 'language' of atmospheric air masses

Davide Faranda
(Université Paris Saclay)
Abstract

Latent Dirichlet Allocation (LDA) is capable of analyzing thousands of documents in a short time and highlighting important elements, recurrences and anomalies. It is generally used in linguistics to study natural language: its word analysis reveals the theme(s) of a document, each theme being identified by a specific vocabulary or, more precisely, by a particular statistical distribution of word frequency.
In the climatologists' use of LDA, the document is a daily weather map and the word is a pixel of the map. The theme with its corpus of words can become a cyclone or an anticyclone and, more generally, a 'pattern'  that the scientists term motif. Artificial intelligence – a sort of incredibly fast robot meteorologist – looks for correlations both between different places on the same map, and between successive maps over time. In a sense, it 'notices' that a particular location is often correlated with another location, recurrently throughout the database, and this set of correlated locations constitutes a specific pattern.
The algorithm performs statistical analyses at two distinct levels: at the word or pixel level of the map, LDA defines a motif, by assigning a certain weight to each pixel, and thus defines the shape and position of the motif;  LDA breaks down a daily weather map into all these motifs, each of which is assigned a certain weight.
In concrete terms, the basic data are the daily weather maps between 1948 and nowadays over the North Atlantic basin and Europe. LDA identifies a dozen or so spatially defined motifs, many of which are familiar meteorological patterns such as the Azores High, the Genoa Low or even the Scandinavian Blocking. A small combination of those motifs can then be used to describe all the maps. These motifs and the statistical analyses associated with them allow researchers to study weather phenomena such as extreme events, as well as longer-term climate trends, and possibly to understand their mechanisms in order to better predict them in the future.

The preprint of the study is available as:
 Lucas Fery, Berengere Dubrulle, Berengere Podvin, Flavio Pons, Davide Faranda. Learning a weather dictionary of atmospheric patterns using Latent Dirichlet Allocation. 2021. ⟨hal-03258523⟩ https://hal-enpc.archives-ouvertes.fr/X-DEP-MECA/hal-03258523v1
 

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