Publication

Multilayer description of large scale communication networks

Sébastien Rumley, Christian Gaumier
2007
Conference paper

Abstract

Data exchanges between various modules and tools raise interfacing difficulties in a multilayer environment. This aspect may become particularly critical in a distributed context.

Official source

https://infoscience.epfl.ch/record/179827?ln=en

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Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Wulfram Gerstner, Clément Hongler, Johanni Michael Brea, Francesco Spadaro, Berfin Simsek, Arthur Jacot

We study how permutation symmetries in overparameterized multi-layer neural networks generate `symmetry-induced' critical points. Assuming a network with

L

layers of minimal widths

r_1^*, \ldots, r_{L-1}^*

reaches a zero-loss minimum at $ r_1^*! \c ...

2021

Multilayer description of large scale communication networks

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True scale-free networks hidden by finite size effects

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances

Global robustness versus local vulnerabilities in complex synchronous networks

True scale-free networks hidden by finite size effects

Global robustness versus local vulnerabilities in complex synchronous networks

Geometry of the Loss Landscape in Overparameterized Neural Networks: Symmetries and Invariances