Tue, 04 Feb 2025
14:00
C4

Mapping regularized network flows on networks with incomplete observations

Jelena Smiljanic
(Umea University)
Abstract

Real-world networks have a complex topology with many interconnected elements often organized into communities. Identifying these communities helps reveal the system’s organizational and functional structure. However, network data can be noisy, with incomplete link observations, making it difficult to detect significant community structures as missing data weakens the evidence for specific solutions. Recent research shows that flow-based community detection methods can highlight spurious communities in sparse networks with incomplete link observations. To address this issue, these methods require regularization. In this talk, I will show how a Bayesian approach can be used to regularize flows in networks, reducing overfitting in the flow-based community detection method known as the map equation.

Week 2 Student Bulletin

Mathematical Institute

It's the week 2 student bulletin!

We're sure that you've all settled back into your regular routines in Oxford now! This week we've got some more information on future Fridays@2 events and a number of internship and career opportunities. Today is also the deadline for Oxford SU sabbatical officer elections. Scroll down to find out more!

Wed, 19 Feb 2025
11:00
L4

A new take on ergodicity of the stochastic 2D Navier-Stokes equations

Dr Jonas Tölle
(Aalto University)
Abstract

We establish general conditions for stochastic evolution equations with locally monotone drift and degenerate additive Lévy noise in variational formulation resulting in the existence of a unique invariant probability measure for the associated ergodic Markovian Feller semigroup. We prove improved moment estimates for the solutions and the e-property of the semigroup. Examples include the stochastic incompressible 2D Navier-Stokes equations, shear thickening stochastic power-law fluid equations, the stochastic heat equation, as well as, stochastic semilinear equations such as the 1D stochastic Burgers equation.

Joint work with Gerardo Barrera (IST Lisboa), https://arxiv.org/abs/2412.01381

Mid-term questionnaire

Student in a lectureThe mid-term questionnaire is now available on Moodle and will remain open until Friday 7th February.

Fridays@2

Fridays@2 banner

A reminder that Friday's@2 is back for Hilary term! As ever, tea and biscuits, and further informal chat will be available afterwards.
 

Upcoming sessions in Fridays@2 include:

Oxford SU sabbatical officer elections for 2025-26

SU elections banner

The nomination deadline for the Oxford SU sabbatical officer elections for 2025-26 is today Friday 31st January.

We're looking to encourage strong candidates to run and there's still time to make a nomination. If you know any students who you think would make great sabbatical officers, please either:

CCI Campus Recruitment

CCI logo

CCI (Castleton Commodities International), a leading global energy commodities trader and infrastructure asset investor, will be running coffee chats on 6 March, providing an opportunity to learn more about their commodities rotational Analysis & internship program.

Bridgewater Associates | Metaculus Forecasting Contest

FlyerGet in the Game: Bridgewater | Metaculus Forecasting Contest
Can you predict the future? Let’s find out. 

At Bridgewater Associates, we believe the best ideas can come from anywhere and anyone – no matter where you live, what school you go to, or your background.  

Cambridge Summer Research Internships

Cambridge Maths logo

The University of Cambridge have two summer research internship programmes that are open to students from other universities. Please see more information in the attached flyers.

Song of the Week: New Order - Temptation

New Order were formed after the death of Ian Curtis ended the career of Joy Division. At first they struggled. They seemed to, er, quite like dance music and the first album was over-produced. But when 'Temptation' was released you knew something was afoot. Brilliant drumming, years ahead of its time and worth waiting for the lines towards the end: 'oh you've got green eyes, oh you've got blue eyes, oh you've got grey eyes'. Yes, a love song. 

More famous songs were to come, but any better than this?

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