Generalization Error of the Tilted Empirical Risk
Aminian, G
Asadi, A
Li, T
Beirami, A
Reinert, G
Cohen, S
(28 Sep 2024)
http://arxiv.org/abs/2409.19431v2
Matrix-weighted networks for modeling multidimensional dynamics
Tian, Y
Kojaku, S
Sayama, H
Lambiotte, R
(07 Oct 2024)
Bodleian Libraries have a range of engaging wellbeing activities for staff and students. Taking a break is important for your mental health and overall wellbeing, so take some time for yourself. You can see a list of activities on the Bodleian Libraries Wellbeing page.
Mon, 25 Nov 2024
16:00
16:00
C3
Gap distributions and the Metric Poissonian Property
Sophie Maclean
(King's College London)
Abstract
When studying dilated arithmetic sequences, it is natural to wonder about their distribution. Whilst it is relatively achievable to ascertain whether the resulting sequence is equidistributed, is it much more difficult to say much about gap size between consecutive elements of the new set? In this talk I will explore the gap distributions in dilated arithmetic sequences modulo 1, including what it means for a sequence to have the metric poissonian property. I will also give an overview of the current progress and what I am aiming to discover in my own work.
Mon, 21 Oct 2024
16:00
16:00
C3
Monochromatic non-commuting products
Matt Bowen
(University of Oxford)
Abstract
We show that any finite coloring of an amenable group contains 'many' monochromatic sets of the form $\{x,y,xy,yx\},$ and natural extensions with more variables. This gives the first combinatorial proof and extensions of Bergelson and McCutcheon's non-commutative Schur theorem. Our main new tool is the introduction of what we call `quasirandom colorings,' a condition that is automatically satisfied by colorings of quasirandom groups, and a reduction to this case.