Connectionists: World wide VVTNS series: 2024 Inaugural Lecture, Wednesday, January 3, 2024, at 11:00 am ET| Marc Mézard, Bocconi University, Milano

[David Hansel]

https://www.wwtns.online - on twitter: wwtns at TheoreticalWide

You are cordially invited to the lecture  given by

Marc Mézard
Bocconi University, Milano

on the topic of

"Matrix Factorization with Neural Networks"

The lecture will be held on zoom on January 3, 2024, at *11:00 am ET *

Register on the our website - https://www.wwtns.online  -to receive the
zoom link


*Abstract:* The factorization of a large matrix into the product of two
matrices is an important mathematical problem encountered in many tasks,
ranging from dictionary learning to machine learning.  Statistical physics
can provide on the one hand theoretical limits on the possibility of
factorizing matrices in the limit of infinite size, and also practical
algorithms. While this program has been successful in the case of finite
rank matrices, the regime of extensive rank (scaling linearly with the
dimension of the matrix) turns out to be much harder. This talk will
describe a new approach to matrix factorization that maps it to neural
network models of associative memory: each pattern found in the associative
memory corresponds to one factor of the matrix decomposition. A detailed
theoretical analysis of this new approach shows that matrix factorization
in the extensive rank regime is possible when the rank is below a certain
threshold.



*About VVTNS : Created as the World Wide Neuroscience Seminar (WWTNS) in
November 2020 and renamed in homage to Carl van Vreeswijk in Memoriam
(April 20, 2022), its aim is to be a platform to exchange ideas among
theoreticians. Speakers have the occasion to talk about theoretical aspects
of their work which cannot be discussed in a setting where the majority of
the audience consists of experimentalists. The seminars, **held on
Wednesdays at 11 am ET,**  are 45-50 min long followed by a discussion. The
talks are recorded with authorization of the speaker and are available to
everybody on our YouTube channel.*
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-- 
'Life is good ..' (Carl van Vreeswijk, 1962-2022)
---------------------------------------
David Hansel
Directeur de Recherche  au CNRS
Co-Group leader
Cerebral Dynamics Plasticity and Learning lab., CNRS
45 rue des Saints Peres 75270 Paris Cedex 06
Tel (Cell):   +33 607508403 - Fax (33).1.49.27.90.62

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