Events - Page 7
A two-days meeting of the Steering Council for Centre International de Mathématiques Pures et Appliquées (CIMPA).
C*-algebra seminar by Ole Brevig (University of Oslo)
Why is deep learning so successful in many applications of modern AI? This question has puzzled the AI community for more than a decade, and many attribute the success of deep learning to the implicit regularization imposed by the Neural Network (NN) architectures and the gradient descent algorithm. In this talk we will investigate the implicit regularization of so-called linear NNs in the simplified setting of linear regression. Furthermore, we will show how this theory meets fundamental computational boundaries imposed by the phenomenon of generalized hardness of approximation. That is, the phenomenon where certain optimal NNs can be proven to exist, but any algorithm will fail to compute these NNs to an accuracy below a certain approximation threshold. Thus, paradoxically, there will exist deep learning methods that are provably optimal, but that can only be computed to a certain accuracy.
Vegard Antun is a postdoctoral fellow at the University of Oslo, department of Mathematics.
Boris Odinot, Head of Growth of grasple.com, a non-profit Ed-tech company in the Netherlands, will present about how their platform can be used to help students practice mathematic and statistics, and for teachers to monitor their students' performance.
QOMBINE seminar by Snorre Bergan (UiO)
Doctoral candidate Anton Yurchenko-Tytarenko at the Department of Mathematics will be defending the thesis Stochastic Volterra volatility models for the degree of Philosophiae Doctor.
The Section 4 seminar for the Autumn of 2022 will be held on Thursdays from 10:15–12:00 (see the schedule)
Consider the singularity C^4/(Z/2), where Z/2 acts as the matrix diag(-1,-1,-1,-1). This singularity is special, in that it does not admit a crepant resolution. However, it does admit a so-called noncommutative crepant resolution, given by a Calabi-Yau 4 quiver. The moduli space of representations of this quiver turns out to share a lot of similarities with moduli spaces of sheaves over Calabi-Yau fourfolds, and it turns out that we can reuse techniques from studying moduli of sheaves to define and compute invariants of this moduli space of representations. In this talk, I will explain how these invariants can be defined, and give conjectures about the forms of these invariants. This talk is based on joint work with Raf Bocklandt.
The Thoralf Skolem Memorial Lecture 2022
This mini-workshop provides young analysts in Norway with an arena to present their research and interact with their peers.
Workshop at University of Oslo
QOMBINE seminar talk by David Jaklitsch (Hamburg)
Doctoral candidate Alexander Lobbe at the Department of Mathematics will be defending the thesis Machine Learning for the Stochastic Filtering Problem for the degree of Philosophiae Doctor.
Ingeborg Gjerde (Simula Research Laboratory) presents joint work with Ridgway Scott (University of Chicago).
Abstract: Airflow around airplane wings is characterized by a wide range of flow scales, making it highly challenging to capture numerically. From a simulation viewpoint, the following questions are still being actively investigated: Why do airplanes fly? Can one reliably simulate the lift and drag of an airplane wing? In this talk, I will provide no good answers to these questions. Instead, I want to talk about some interesting results I've stumbled into tangentially, including:
- (Nonlinear) kinetic energy instability analysis, also referred to as Reynolds-Orr instability
- Slip boundary conditions and their connection to D'Alembert's paradox
- Stokes' paradox and its connection to weighted Sobolev spaces. I will show numerical results computed for flow around a cylinder, which serves as a proxy for flow around an airplane wing. In particular, I will talk about the impact of the friction boundary condition on the drag force and flow stability. Finally, I will comment on how these results might be interpreted in view of: New Theory of Flight, J. Hoffman, J. Jansson, C. Johnson (2016), Journal of Mathematical Fluid Mechanics.