QLS Lecture on zoom - Tuesday 16 February at 15.00 CET
QLS
QLS at ICTP.IT
Fri Feb 12 09:17:33 CET 2021
Dear All,
on Tuesday, 16 February2021 at 15:00 CET, Sebastian Goldt, SISSA, will
give the second part of the lecturetitled:
"The impact of data structure on learning in two-layer neural networks"
Abstract: Understanding the impact of data structure on learning in
neural networks remains a key challenge for the theory of neural networks.
In these two lectures, we will discuss how to go beyond the simple
i.i.d. modelling paradigm in the teacher-student setup by studying
neural networks trained on data drawn from structured generative models.
Our discussion will center around two results:
(1) We give rigorous conditions under which a class of generative models
shares key statistical properties with an appropriately chosen Gaussian
feature model.
(2) We use this Gaussian equivalence to analyse the dynamics of
two-layer neural networks trained using one-pass stochastic gradient
descent on data drawn from a large class of generators.
I will try to make these lectures self-contained.
They will be mostly based on the following two papers:
[1] Goldt, S., Mézard, M., Krzakala, F. and Zdeborová, L., 2020.
Modeling the Influence of Data Structure on Learning in Neural
Networks: The Hidden Manifold Model. /Physical Review X/, /10/(4), p.041044.
https://arxiv.org/abs/1909.11500 <https://arxiv.org/abs/1909.11500>
[2] Goldt, S., Reeves, G., Loureiro, B., Mézard, M., Krzakala, F. and
Zdeborová, L., 2020.
The Gaussian equivalence of generative models for learning with
two-layer neural networks.
/ under review; //https://arXiv.org/abs/2006.14709/
<https://arxiv.org/abs/2006.14709>
http://indico.ictp.it/event/9578/ <http://indico.ictp.it/event/9578/>
Zoom Meeting ID to attend the online seminar: 475-819-702
Join Zoom Meeting:https://zoom.us/j/475819702 <https://zoom.us/j/475819702>
If you haven't registered for previous QLS webinars, please contact
qls at ictp.it <mailto:qls at ictp.it>to obtain the PASSWORD for this zoom
meeting.
Kind regards,
Barbara Valassi for QLS Section
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